Directory: | ./ |
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File: | include/pinocchio/algorithm/constrained-dynamics-derivatives.hxx |
Date: | 2025-02-12 21:03:38 |
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1 | // | ||
2 | // Copyright (c) 2020-2022 CNRS INRIA | ||
3 | // | ||
4 | |||
5 | #ifndef __pinocchio_algorithm_constraint_dynamics_derivatives_hxx__ | ||
6 | #define __pinocchio_algorithm_constraint_dynamics_derivatives_hxx__ | ||
7 | |||
8 | #include "pinocchio/algorithm/check.hpp" | ||
9 | #include "pinocchio/algorithm/rnea-derivatives.hpp" | ||
10 | #include "pinocchio/algorithm/kinematics-derivatives.hpp" | ||
11 | #include "pinocchio/algorithm/kinematics.hpp" | ||
12 | #include "pinocchio/algorithm/frames.hpp" | ||
13 | #include "pinocchio/algorithm/frames-derivatives.hpp" | ||
14 | #include "pinocchio/algorithm/contact-cholesky.hpp" | ||
15 | #include "pinocchio/algorithm/utils/motion.hpp" | ||
16 | |||
17 | namespace pinocchio | ||
18 | { | ||
19 | |||
20 | template< | ||
21 | typename Scalar, | ||
22 | int Options, | ||
23 | template<typename, int> class JointCollectionTpl, | ||
24 | bool ContactMode> | ||
25 | struct ComputeConstraintDynamicsDerivativesForwardStep | ||
26 | : public fusion::JointUnaryVisitorBase<ComputeConstraintDynamicsDerivativesForwardStep< | ||
27 | Scalar, | ||
28 | Options, | ||
29 | JointCollectionTpl, | ||
30 | ContactMode>> | ||
31 | { | ||
32 | typedef ModelTpl<Scalar, Options, JointCollectionTpl> Model; | ||
33 | typedef DataTpl<Scalar, Options, JointCollectionTpl> Data; | ||
34 | |||
35 | typedef boost::fusion::vector<const Model &, Data &> ArgsType; | ||
36 | |||
37 | template<typename JointModel> | ||
38 | 1404 | static void algo( | |
39 | const JointModelBase<JointModel> & jmodel, | ||
40 | JointDataBase<typename JointModel::JointDataDerived> & jdata, | ||
41 | const Model & model, | ||
42 | Data & data) | ||
43 | { | ||
44 | typedef typename Model::JointIndex JointIndex; | ||
45 | typedef typename Data::Motion Motion; | ||
46 | |||
47 |
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1404 | const JointIndex i = jmodel.id(); |
48 | 1404 | const JointIndex parent = model.parents[i]; | |
49 | |||
50 | typedef | ||
51 | typename SizeDepType<JointModel::NV>::template ColsReturn<typename Data::Matrix6x>::Type | ||
52 | ColsBlock; | ||
53 |
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1404 | ColsBlock J_cols = jmodel.jointCols(data.J); |
54 |
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1404 | ColsBlock dAdq_cols = jmodel.jointCols(data.dAdq); |
55 | |||
56 | if (ContactMode) | ||
57 | { | ||
58 | 1188 | const Motion & ov = data.ov[i]; | |
59 |
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1188 | ColsBlock dJ_cols = jmodel.jointCols(data.dJ); |
60 |
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1188 | ColsBlock dVdq_cols = jmodel.jointCols(data.dVdq); |
61 | |||
62 |
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1188 | motionSet::motionAction(ov, J_cols, dJ_cols); |
63 | // TODO: make more efficient | ||
64 |
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1188 | data.v[i] = data.oMi[i].actInv(data.ov[i]); |
65 | |||
66 |
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1188 | if (parent > 0) |
67 | { | ||
68 |
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1144 | motionSet::motionAction(data.ov[parent], J_cols, dVdq_cols); |
69 | } | ||
70 | else | ||
71 |
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44 | dVdq_cols.setZero(); |
72 | |||
73 | // computes variation of inertias | ||
74 |
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1188 | data.doYcrb[i] = data.oinertias[i].variation(ov); |
75 | typedef impl::ComputeRNEADerivativesForwardStep< | ||
76 | Scalar, Options, JointCollectionTpl, typename Data::ConfigVectorType, | ||
77 | typename Data::TangentVectorType, typename Data::TangentVectorType> | ||
78 | RNEAForwardStepType; | ||
79 |
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1188 | RNEAForwardStepType::addForceCrossMatrix(data.oh[i], data.doYcrb[i]); |
80 | 1188 | Motion & oa = data.oa[i]; | |
81 | 1188 | Motion & oa_gf = data.oa_gf[i]; | |
82 |
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1188 | ColsBlock dAdv_cols = jmodel.jointCols(data.dAdv); |
83 | 1188 | const typename Data::TangentVectorType & a = data.ddq; | |
84 |
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2376 | data.a[i] = |
85 |
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2376 | jdata.S() * jmodel.jointVelocitySelector(a) + jdata.c() + (data.v[i] ^ jdata.v()); |
86 |
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1188 | if (parent > 0) |
87 |
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1144 | data.a[i] += data.liMi[i].actInv(data.a[parent]); |
88 |
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1188 | oa = data.oMi[i].act(data.a[i]); |
89 |
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1188 | oa_gf = oa - model.gravity; // add gravity contribution |
90 |
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1188 | data.of[i] = data.oinertias[i] * oa_gf + ov.cross(data.oh[i]); |
91 |
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1188 | motionSet::motionAction(data.oa_gf[parent], J_cols, dAdq_cols); |
92 |
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1188 | dAdv_cols = dJ_cols; |
93 |
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1188 | if (parent > 0) |
94 | { | ||
95 |
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1144 | motionSet::motionAction<ADDTO>(data.ov[parent], dVdq_cols, dAdq_cols); |
96 |
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1144 | dAdv_cols.noalias() += dVdq_cols; |
97 | } | ||
98 | } | ||
99 | else | ||
100 | { | ||
101 | 216 | Motion & odv = data.oa[i]; | |
102 | 216 | Motion & odvparent = data.oa[parent]; | |
103 | 216 | const typename Data::TangentVectorType & dimpulse = data.ddq; | |
104 | // Temporary calculation of J(dq_after) | ||
105 |
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216 | odv = J_cols * jmodel.jointVelocitySelector(dimpulse); |
106 |
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216 | if (parent > 0) |
107 |
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208 | odv += odvparent; |
108 |
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216 | motionSet::motionAction(odvparent, J_cols, dAdq_cols); |
109 |
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216 | data.of[i] = data.oinertias[i] * odv; |
110 | } | ||
111 | } | ||
112 | }; | ||
113 | |||
114 | template< | ||
115 | typename Scalar, | ||
116 | int Options, | ||
117 | template<typename, int> class JointCollectionTpl, | ||
118 | bool ContactMode> | ||
119 | struct ComputeContactDynamicDerivativesBackwardStep | ||
120 | : public fusion::JointUnaryVisitorBase<ComputeContactDynamicDerivativesBackwardStep< | ||
121 | Scalar, | ||
122 | Options, | ||
123 | JointCollectionTpl, | ||
124 | ContactMode>> | ||
125 | { | ||
126 | typedef ModelTpl<Scalar, Options, JointCollectionTpl> Model; | ||
127 | typedef DataTpl<Scalar, Options, JointCollectionTpl> Data; | ||
128 | |||
129 | typedef boost::fusion::vector<const Model &, Data &> ArgsType; | ||
130 | |||
131 | template<typename JointModel> | ||
132 | 1404 | static void algo(const JointModelBase<JointModel> & jmodel, const Model & model, Data & data) | |
133 | { | ||
134 | typedef typename Model::JointIndex JointIndex; | ||
135 | typedef Eigen::Matrix< | ||
136 | Scalar, JointModel::NV, 6, Options, JointModel::NV == Eigen::Dynamic ? 6 : JointModel::NV, | ||
137 | 6> | ||
138 | MatrixNV6; | ||
139 | typedef | ||
140 | typename SizeDepType<JointModel::NV>::template ColsReturn<typename Data::Matrix6x>::Type | ||
141 | ColsBlock; | ||
142 | |||
143 |
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1404 | const JointIndex i = jmodel.id(); |
144 | 1404 | const JointIndex parent = model.parents[i]; | |
145 |
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1404 | ColsBlock J_cols = jmodel.jointCols(data.J); |
146 |
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1404 | ColsBlock dVdq_cols = jmodel.jointCols(data.dVdq); |
147 |
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1404 | ColsBlock dAdq_cols = jmodel.jointCols(data.dAdq); |
148 |
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1404 | ColsBlock dFdq_cols = jmodel.jointCols(data.dFdq); |
149 |
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1404 | ColsBlock dFda_cols = jmodel.jointCols(data.dFda); |
150 | |||
151 | 1404 | typename Data::RowMatrixXs & dtau_dq = data.dtau_dq; | |
152 | |||
153 | // Temporary variables | ||
154 |
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1404 | typename PINOCCHIO_EIGEN_PLAIN_ROW_MAJOR_TYPE(MatrixNV6) StdY(jmodel.nv(), 6); |
155 | |||
156 |
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1404 | motionSet::inertiaAction(data.oYcrb[i], dAdq_cols, dFdq_cols); |
157 | // dtau/dq | ||
158 |
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1404 | if (parent > 0) |
159 | { | ||
160 | if (ContactMode) | ||
161 | { | ||
162 |
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1144 | dFdq_cols.noalias() += data.doYcrb[i] * dVdq_cols; |
163 |
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1144 | StdY.noalias() = J_cols.transpose() * data.doYcrb[i]; |
164 |
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11748 | for (int j = data.parents_fromRow[(typename Model::Index)jmodel.idx_v()]; j >= 0; |
165 | 10604 | j = data.parents_fromRow[(typename Model::Index)j]) | |
166 | { | ||
167 |
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10604 | dtau_dq.middleRows(jmodel.idx_v(), jmodel.nv()).col(j).noalias() = |
168 |
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21208 | dFda_cols.transpose() * data.dAdq.col(j) + StdY * data.dVdq.col(j); |
169 | } | ||
170 | } | ||
171 | else | ||
172 | { | ||
173 |
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2136 | for (int j = data.parents_fromRow[(typename Model::Index)jmodel.idx_v()]; j >= 0; |
174 | 1928 | j = data.parents_fromRow[(typename Model::Index)j]) | |
175 | { | ||
176 |
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1928 | dtau_dq.middleRows(jmodel.idx_v(), jmodel.nv()).col(j).noalias() = |
177 |
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3856 | dFda_cols.transpose() * data.dAdq.col(j); |
178 | } | ||
179 | } | ||
180 | } | ||
181 | |||
182 |
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1404 | dtau_dq.block(jmodel.idx_v(), jmodel.idx_v(), jmodel.nv(), data.nvSubtree[i]).noalias() = |
183 |
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1404 | J_cols.transpose() * data.dFdq.middleCols(jmodel.idx_v(), data.nvSubtree[i]); |
184 |
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1404 | motionSet::act<ADDTO>(J_cols, data.of[i], dFdq_cols); |
185 | |||
186 | if (ContactMode) | ||
187 | { | ||
188 |
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1188 | ColsBlock dAdv_cols = jmodel.jointCols(data.dAdv); |
189 |
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1188 | ColsBlock dFdv_cols = jmodel.jointCols(data.dFdv); |
190 | |||
191 | 1188 | typename Data::RowMatrixXs & dtau_dv = data.dtau_dv; | |
192 |
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1188 | dFdv_cols.noalias() = data.doYcrb[i] * J_cols; |
193 |
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1188 | motionSet::inertiaAction<ADDTO>(data.oYcrb[i], dAdv_cols, dFdv_cols); |
194 | |||
195 |
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1188 | dtau_dv.block(jmodel.idx_v(), jmodel.idx_v(), jmodel.nv(), data.nvSubtree[i]).noalias() = |
196 |
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1188 | J_cols.transpose() * data.dFdv.middleCols(jmodel.idx_v(), data.nvSubtree[i]); |
197 |
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1188 | if (parent > 0) |
198 | { | ||
199 |
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11748 | for (int j = data.parents_fromRow[(typename Model::Index)jmodel.idx_v()]; j >= 0; |
200 | 10604 | j = data.parents_fromRow[(typename Model::Index)j]) | |
201 | { | ||
202 |
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10604 | dtau_dv.middleRows(jmodel.idx_v(), jmodel.nv()).col(j).noalias() = |
203 |
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21208 | dFda_cols.transpose() * data.dAdv.col(j) + StdY * data.J.col(j); |
204 | } | ||
205 |
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1144 | data.doYcrb[parent] += data.doYcrb[i]; |
206 | } | ||
207 | // Restore the status of dAdq_cols (remove gravity) | ||
208 |
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2596 | for (Eigen::DenseIndex k = 0; k < jmodel.nv(); ++k) |
209 | { | ||
210 | typedef typename ColsBlock::ColXpr ColType; | ||
211 |
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1408 | MotionRef<ColType> min(J_cols.col(k)); |
212 |
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1408 | MotionRef<ColType> mout(dAdq_cols.col(k)); |
213 |
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1408 | mout.linear() += model.gravity.linear().cross(min.angular()); |
214 | } | ||
215 | } | ||
216 | |||
217 |
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1404 | if (parent > 0) |
218 |
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1352 | data.of[parent] += data.of[i]; |
219 | } | ||
220 | }; | ||
221 | |||
222 | namespace internal | ||
223 | { | ||
224 | |||
225 | template<typename Scalar> | ||
226 | struct ContactForceContribution | ||
227 | { | ||
228 | |||
229 | template< | ||
230 | int Options, | ||
231 | template<typename, int> class JointCollectionTpl, | ||
232 | class ConstraintModelAllocator, | ||
233 | class ConstraintDataAllocator> | ||
234 | 26 | static void run( | |
235 | const std::vector<RigidConstraintModelTpl<Scalar, Options>, ConstraintModelAllocator> & | ||
236 | contact_models, | ||
237 | DataTpl<Scalar, Options, JointCollectionTpl> & data, | ||
238 | std::vector<RigidConstraintDataTpl<Scalar, Options>, ConstraintDataAllocator> & | ||
239 | contact_data) | ||
240 | { | ||
241 | typedef RigidConstraintModelTpl<Scalar, Options> RigidConstraintModel; | ||
242 | typedef RigidConstraintDataTpl<Scalar, Options> RigidConstraintData; | ||
243 | typedef SE3Tpl<Scalar, Options> SE3; | ||
244 | typedef ForceTpl<Scalar, Options> Force; | ||
245 | |||
246 |
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26 | Force of_tmp; |
247 | |||
248 | // Add the contribution of the external forces. | ||
249 |
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61 | for (size_t k = 0; k < contact_models.size(); ++k) |
250 | { | ||
251 | 35 | const RigidConstraintModel & cmodel = contact_models[k]; | |
252 | 35 | const RigidConstraintData & cdata = contact_data[k]; | |
253 | |||
254 | // TODO: Temporary variable | ||
255 | 35 | const SE3 & oMc1 = cdata.oMc1; | |
256 | 35 | Force & of1 = data.of[cmodel.joint1_id]; | |
257 | 35 | const SE3 & oMc2 = cdata.oMc2; | |
258 | 35 | Force & of2 = data.of[cmodel.joint2_id]; | |
259 | |||
260 |
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35 | switch (cmodel.reference_frame) |
261 | { | ||
262 | 27 | case LOCAL: { | |
263 |
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27 | switch (cmodel.type) |
264 | { | ||
265 | 12 | case CONTACT_6D: { | |
266 |
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12 | if (cmodel.joint1_id > 0) |
267 | { | ||
268 |
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11 | of1 -= oMc1.act(cdata.contact_force); |
269 | } | ||
270 |
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12 | if (cmodel.joint2_id > 0) |
271 | { | ||
272 |
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3 | of_tmp = oMc1.act(cdata.contact_force); |
273 |
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3 | of2 += of_tmp; |
274 | } | ||
275 | 12 | break; | |
276 | } | ||
277 | 15 | case CONTACT_3D: { | |
278 |
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15 | of_tmp.linear().noalias() = oMc1.rotation() * cdata.contact_force.linear(); |
279 | |||
280 |
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15 | if (cmodel.joint1_id > 0) |
281 | { | ||
282 |
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14 | of1.linear().noalias() -= of_tmp.linear(); |
283 |
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14 | of1.angular().noalias() -= oMc1.translation().cross(of_tmp.linear()); |
284 | } | ||
285 |
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15 | if (cmodel.joint2_id > 0) |
286 | { | ||
287 |
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4 | of2.linear() += of_tmp.linear(); |
288 |
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4 | of2.angular().noalias() += oMc2.translation().cross(of_tmp.linear()); |
289 | } | ||
290 | 15 | break; | |
291 | } | ||
292 | ✗ | default: { | |
293 | ✗ | assert(false && "must never happen"); | |
294 | break; | ||
295 | } | ||
296 | } | ||
297 | 27 | break; | |
298 | } | ||
299 | 8 | case LOCAL_WORLD_ALIGNED: { | |
300 |
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8 | switch (cmodel.type) |
301 | { | ||
302 | 4 | case CONTACT_6D: { | |
303 |
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4 | if (cmodel.joint1_id > 0) |
304 | { | ||
305 |
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4 | of1 -= cdata.contact_force; |
306 |
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4 | of1.angular().noalias() -= oMc1.translation().cross(cdata.contact_force.linear()); |
307 | } | ||
308 |
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4 | if (cmodel.joint2_id > 0) |
309 | { | ||
310 |
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1 | of2 += cdata.contact_force; |
311 |
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1 | of2.angular().noalias() += oMc1.translation().cross(cdata.contact_force.linear()); |
312 | } | ||
313 | 4 | break; | |
314 | } | ||
315 | 4 | case CONTACT_3D: { | |
316 |
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4 | if (cmodel.joint1_id > 0) |
317 | { | ||
318 |
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4 | of1.linear() -= cdata.contact_force.linear(); |
319 |
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4 | of1.angular().noalias() -= oMc1.translation().cross(cdata.contact_force.linear()); |
320 | } | ||
321 |
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4 | if (cmodel.joint2_id > 0) |
322 | { | ||
323 |
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1 | of2.linear() += cdata.contact_force.linear(); |
324 |
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1 | of2.angular().noalias() += oMc2.translation().cross(cdata.contact_force.linear()); |
325 | } | ||
326 | 4 | break; | |
327 | } | ||
328 | ✗ | default: { | |
329 | ✗ | assert(false && "must never happen"); | |
330 | break; | ||
331 | } | ||
332 | } | ||
333 | 8 | break; | |
334 | } | ||
335 | ✗ | default: | |
336 | ✗ | assert(false && "Should never happen"); | |
337 | break; | ||
338 | } | ||
339 | } | ||
340 | 26 | } | |
341 | }; | ||
342 | } // namespace internal | ||
343 | |||
344 | template< | ||
345 | typename Scalar, | ||
346 | int Options, | ||
347 | template<typename, int> class JointCollectionTpl, | ||
348 | class ConstraintModelAllocator, | ||
349 | class ConstraintDataAllocator, | ||
350 | typename MatrixType1, | ||
351 | typename MatrixType2, | ||
352 | typename MatrixType3, | ||
353 | typename MatrixType4, | ||
354 | typename MatrixType5, | ||
355 | typename MatrixType6> | ||
356 | 44 | inline void computeConstraintDynamicsDerivatives( | |
357 | const ModelTpl<Scalar, Options, JointCollectionTpl> & model, | ||
358 | DataTpl<Scalar, Options, JointCollectionTpl> & data, | ||
359 | const std::vector<RigidConstraintModelTpl<Scalar, Options>, ConstraintModelAllocator> & | ||
360 | contact_models, | ||
361 | std::vector<RigidConstraintDataTpl<Scalar, Options>, ConstraintDataAllocator> & contact_data, | ||
362 | const ProximalSettingsTpl<Scalar> & settings, | ||
363 | const Eigen::MatrixBase<MatrixType1> & ddq_partial_dq, | ||
364 | const Eigen::MatrixBase<MatrixType2> & ddq_partial_dv, | ||
365 | const Eigen::MatrixBase<MatrixType3> & ddq_partial_dtau, | ||
366 | const Eigen::MatrixBase<MatrixType4> & lambda_partial_dq, | ||
367 | const Eigen::MatrixBase<MatrixType5> & lambda_partial_dv, | ||
368 | const Eigen::MatrixBase<MatrixType6> & lambda_partial_dtau) | ||
369 | { | ||
370 |
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44 | const Eigen::DenseIndex & nc = data.contact_chol.constraintDim(); |
371 | |||
372 |
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44 | PINOCCHIO_CHECK_INPUT_ARGUMENT( |
373 | contact_data.size() == contact_models.size(), | ||
374 | "contact_data and contact_models do not have the same size"); | ||
375 | |||
376 |
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44 | PINOCCHIO_CHECK_INPUT_ARGUMENT(ddq_partial_dq.cols() == model.nv); |
377 |
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44 | PINOCCHIO_CHECK_INPUT_ARGUMENT(ddq_partial_dq.rows() == model.nv); |
378 | |||
379 |
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44 | PINOCCHIO_CHECK_INPUT_ARGUMENT(ddq_partial_dv.cols() == model.nv); |
380 |
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44 | PINOCCHIO_CHECK_INPUT_ARGUMENT(ddq_partial_dv.rows() == model.nv); |
381 | |||
382 |
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44 | PINOCCHIO_CHECK_INPUT_ARGUMENT(ddq_partial_dtau.cols() == model.nv); |
383 |
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44 | PINOCCHIO_CHECK_INPUT_ARGUMENT(ddq_partial_dtau.rows() == model.nv); |
384 | |||
385 |
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44 | PINOCCHIO_CHECK_INPUT_ARGUMENT(lambda_partial_dq.cols() == model.nv); |
386 |
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44 | PINOCCHIO_CHECK_INPUT_ARGUMENT(lambda_partial_dq.rows() == nc); |
387 | |||
388 |
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44 | PINOCCHIO_CHECK_INPUT_ARGUMENT(lambda_partial_dv.cols() == model.nv); |
389 |
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44 | PINOCCHIO_CHECK_INPUT_ARGUMENT(lambda_partial_dv.rows() == nc); |
390 | |||
391 |
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44 | PINOCCHIO_CHECK_INPUT_ARGUMENT(lambda_partial_dtau.cols() == model.nv); |
392 |
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44 | PINOCCHIO_CHECK_INPUT_ARGUMENT(lambda_partial_dtau.rows() == nc); |
393 | |||
394 |
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44 | PINOCCHIO_CHECK_INPUT_ARGUMENT( |
395 | check_expression_if_real<Scalar>( | ||
396 | model.gravity.angular()[0] == Scalar(0) && model.gravity.angular()[1] == Scalar(0) | ||
397 | && model.gravity.angular()[2] == Scalar(0)), | ||
398 | "The gravity must be a pure force vector, no angular part"); | ||
399 | |||
400 |
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44 | assert(model.check(data) && "data is not consistent with model."); |
401 | |||
402 | // TODO: User should make sure the internal quantities are reset. | ||
403 |
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44 | data.dtau_dq.setZero(); |
404 |
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44 | data.dtau_dv.setZero(); |
405 |
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44 | data.dac_dq.setZero(); |
406 |
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44 | data.dac_dv.setZero(); |
407 | |||
408 | typedef ModelTpl<Scalar, Options, JointCollectionTpl> Model; | ||
409 | typedef DataTpl<Scalar, Options, JointCollectionTpl> Data; | ||
410 | |||
411 | typedef RigidConstraintModelTpl<Scalar, Options> RigidConstraintModel; | ||
412 | typedef RigidConstraintDataTpl<Scalar, Options> RigidConstraintData; | ||
413 | |||
414 | typedef typename ModelTpl<Scalar, Options, JointCollectionTpl>::JointIndex JointIndex; | ||
415 | typedef typename Data::SE3 SE3; | ||
416 | typedef typename Data::Motion Motion; | ||
417 | typedef typename Data::Force Force; | ||
418 |
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44 | data.oa_gf[0] = -model.gravity; |
419 | |||
420 | // TODO: Temp variable | ||
421 |
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44 | Motion a_tmp; |
422 | |||
423 | typedef ComputeConstraintDynamicsDerivativesForwardStep< | ||
424 | Scalar, Options, JointCollectionTpl, true> | ||
425 | Pass1; | ||
426 |
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1232 | for (JointIndex i = 1; i < (JointIndex)model.njoints; ++i) |
427 | { | ||
428 |
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1188 | Pass1::run(model.joints[i], data.joints[i], typename Pass1::ArgsType(model, data)); |
429 | } | ||
430 | |||
431 |
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44 | internal::ContactForceContribution<Scalar>::run(contact_models, data, contact_data); |
432 | |||
433 | // Backward Pass | ||
434 | typedef ComputeContactDynamicDerivativesBackwardStep<Scalar, Options, JointCollectionTpl, true> | ||
435 | Pass2; | ||
436 |
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1232 | for (JointIndex i = (JointIndex)(model.njoints - 1); i > 0; --i) |
437 | { | ||
438 |
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1188 | Pass2::run(model.joints[i], typename Pass2::ArgsType(model, data)); |
439 | } | ||
440 | |||
441 | // Compute the contact frame partial derivatives | ||
442 |
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44 | typename Data::SE3::Matrix6 Jlog; |
443 | 44 | Eigen::DenseIndex current_row_sol_id = 0; | |
444 |
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102 | for (size_t k = 0; k < contact_models.size(); ++k) |
445 | { | ||
446 | typedef typename RigidConstraintModel::BooleanVector BooleanVector; | ||
447 | |||
448 | 58 | const RigidConstraintModel & cmodel = contact_models[k]; | |
449 | 58 | RigidConstraintData & cdata = contact_data[k]; | |
450 | // const BooleanVector & joint1_indexes = cmodel.colwise_joint1_sparsity; | ||
451 | 58 | const BooleanVector & joint2_indexes = cmodel.colwise_joint2_sparsity; | |
452 | |||
453 |
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58 | switch (cmodel.type) |
454 | { | ||
455 | 26 | case CONTACT_6D: { | |
456 | typedef | ||
457 | typename SizeDepType<6>::template RowsReturn<typename Data::MatrixXs>::Type RowsBlock; | ||
458 |
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26 | RowsBlock contact_dvc_dq = SizeDepType<6>::middleRows(data.dvc_dq, current_row_sol_id); |
459 |
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26 | RowsBlock contact_dac_dq = SizeDepType<6>::middleRows(data.dac_dq, current_row_sol_id); |
460 |
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26 | RowsBlock contact_dac_dv = SizeDepType<6>::middleRows(data.dac_dv, current_row_sol_id); |
461 |
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26 | RowsBlock contact_dac_da = SizeDepType<6>::middleRows(data.dac_da, current_row_sol_id); |
462 | |||
463 |
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26 | if (cmodel.joint1_id > 0) |
464 | { | ||
465 |
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24 | cdata.dv1_dq.setZero(); |
466 |
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24 | cdata.da1_dq.setZero(); |
467 |
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24 | cdata.da1_dv.setZero(); |
468 |
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24 | cdata.da1_da.setZero(); |
469 | |||
470 | 24 | getFrameAccelerationDerivatives( | |
471 | 24 | model, data, cmodel.joint1_id, cmodel.joint1_placement, cmodel.reference_frame, | |
472 |
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24 | cdata.dv1_dq, cdata.da1_dq, cdata.da1_dv, cdata.da1_da); |
473 | |||
474 |
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24 | contact_dvc_dq = cdata.dv1_dq; |
475 |
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24 | contact_dac_dq = cdata.da1_dq; |
476 |
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24 | contact_dac_dv = cdata.da1_dv; |
477 |
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24 | contact_dac_da = cdata.da1_da; |
478 | } | ||
479 | |||
480 |
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26 | if (cmodel.joint2_id > 0) |
481 | { | ||
482 |
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8 | cdata.dv2_dq.setZero(); |
483 |
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8 | cdata.da2_dq.setZero(); |
484 |
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8 | cdata.da2_dv.setZero(); |
485 |
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8 | cdata.da2_da.setZero(); |
486 |
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8 | const SE3 joint2_M_c1 = cmodel.joint2_placement * cdata.c1Mc2.inverse(); |
487 | |||
488 | 8 | getFrameAccelerationDerivatives( | |
489 | 8 | model, data, cmodel.joint2_id, joint2_M_c1, | |
490 | // cmodel.joint2_placement, | ||
491 |
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8 | cmodel.reference_frame, cdata.dv2_dq, cdata.da2_dq, cdata.da2_dv, cdata.da2_da); |
492 | |||
493 | // TODO: This is only in case reference_frame is LOCAL | ||
494 | // TODO(jcarpent):to do colwise | ||
495 |
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8 | contact_dvc_dq -= cdata.dv2_dq; |
496 |
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8 | contact_dac_dq -= cdata.da2_dq; |
497 |
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8 | contact_dac_dv -= cdata.da2_dv; |
498 |
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8 | contact_dac_da -= cdata.da2_da; |
499 | |||
500 |
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8 | const Motion v2_in_c1 = cdata.c1Mc2.act(cdata.contact2_velocity); |
501 |
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8 | const Motion a2_in_c1 = cdata.oMc1.actInv(data.oa[cmodel.joint2_id]); |
502 | |||
503 | 8 | Eigen::DenseIndex k = Eigen::DenseIndex(cmodel.colwise_span_indexes.size()) - 1; | |
504 | 8 | Eigen::DenseIndex col_id(0); | |
505 |
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110 | while (cmodel.reference_frame == LOCAL && cmodel.colwise_span_indexes.size() > 0) |
506 | { | ||
507 |
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108 | if (k >= 0) |
508 | { | ||
509 | 70 | col_id = cmodel.colwise_span_indexes[size_t(k)]; | |
510 | 70 | k--; | |
511 | } | ||
512 | else | ||
513 | { | ||
514 | 38 | col_id = data.parents_fromRow[size_t(col_id)]; | |
515 |
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38 | if (col_id < 0) |
516 | 6 | break; | |
517 | } | ||
518 | |||
519 |
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102 | const MotionRef<typename RowsBlock::ColXpr> dvc_dv_col(contact_dac_da.col(col_id)); |
520 |
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102 | const MotionRef<typename RigidConstraintData::Matrix6x::ColXpr> da2_da_col( |
521 |
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102 | cdata.da2_da.col(col_id)); |
522 |
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102 | const MotionRef<typename RigidConstraintData::Matrix6x::ColXpr> dv2_dq_col( |
523 |
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102 | cdata.dv2_dq.col(col_id)); |
524 | |||
525 | // dv/dq | ||
526 |
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102 | const Motion v2_in_c1_cross_dvc_dv_col = v2_in_c1.cross(dvc_dv_col); |
527 |
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102 | contact_dvc_dq.col(col_id) -= v2_in_c1_cross_dvc_dv_col.toVector(); |
528 | |||
529 | // da/dv | ||
530 |
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102 | contact_dac_dv.col(col_id) -= v2_in_c1_cross_dvc_dv_col.toVector(); |
531 |
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102 | contact_dac_dv.col(col_id) += cdata.contact_velocity_error.cross(da2_da_col).toVector(); |
532 | |||
533 | // da/dq | ||
534 |
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102 | const MotionRef<typename RowsBlock::ColXpr> dvc_dq_col(contact_dvc_dq.col(col_id)); |
535 | |||
536 |
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102 | contact_dac_dq.col(col_id) -= a2_in_c1.cross(dvc_dv_col).toVector(); |
537 |
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102 | contact_dac_dq.col(col_id) -= v2_in_c1.cross(dvc_dq_col).toVector(); |
538 |
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102 | contact_dac_dq.col(col_id) += |
539 |
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204 | cdata.contact_velocity_error.cross(v2_in_c1_cross_dvc_dv_col + dv2_dq_col).toVector(); |
540 | } | ||
541 | |||
542 |
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8 | cdata.dvc_dq = contact_dvc_dq; |
543 |
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8 | cdata.dac_dq = contact_dac_dq; |
544 |
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8 | cdata.dac_dv = contact_dac_dv; |
545 |
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8 | cdata.dac_da = contact_dac_da; |
546 | } | ||
547 | |||
548 | 26 | break; | |
549 | } | ||
550 | 32 | case CONTACT_3D: { | |
551 | typedef | ||
552 | typename SizeDepType<3>::template RowsReturn<typename Data::MatrixXs>::Type RowsBlock; | ||
553 | |||
554 |
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32 | RowsBlock contact_dvc_dq = SizeDepType<3>::middleRows(data.dvc_dq, current_row_sol_id); |
555 |
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32 | RowsBlock contact_dac_dq = SizeDepType<3>::middleRows(data.dac_dq, current_row_sol_id); |
556 |
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32 | RowsBlock contact_dac_dv = SizeDepType<3>::middleRows(data.dac_dv, current_row_sol_id); |
557 |
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32 | RowsBlock contact_dac_da = SizeDepType<3>::middleRows(data.dac_da, current_row_sol_id); |
558 | |||
559 |
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32 | if (cmodel.joint1_id > 0) |
560 | { | ||
561 |
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30 | cdata.dv1_dq.setZero(); |
562 |
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30 | cdata.da1_dq.setZero(); |
563 |
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30 | cdata.da1_dv.setZero(); |
564 |
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30 | cdata.da1_da.setZero(); |
565 | |||
566 | 30 | getPointClassicAccelerationDerivatives( | |
567 |
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30 | model, data, cmodel.joint1_id, cmodel.joint1_placement, cmodel.reference_frame, |
568 |
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30 | cdata.dv1_dq.template bottomRows<3>(), cdata.da1_dq.template bottomRows<3>(), |
569 |
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30 | cdata.da1_dv.template bottomRows<3>(), cdata.da1_da.template bottomRows<3>()); |
570 | |||
571 |
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30 | contact_dvc_dq = cdata.dv1_dq.template bottomRows<3>(); |
572 |
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30 | contact_dac_dq = cdata.da1_dq.template bottomRows<3>(); |
573 |
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30 | contact_dac_dv = cdata.da1_dv.template bottomRows<3>(); |
574 |
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30 | contact_dac_da = cdata.da1_da.template bottomRows<3>(); |
575 | } | ||
576 | |||
577 |
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32 | if (cmodel.joint2_id > 0) |
578 | { | ||
579 |
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10 | cdata.dv2_dq.setZero(); |
580 |
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10 | cdata.da2_dq.setZero(); |
581 |
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10 | cdata.da2_dv.setZero(); |
582 |
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10 | cdata.da2_da.setZero(); |
583 |
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10 | const SE3 joint2_M_c1( |
584 |
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10 | cmodel.joint2_placement.rotation() * cdata.c1Mc2.rotation().transpose(), |
585 |
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10 | cmodel.joint2_placement.translation()); |
586 | |||
587 | 10 | getPointClassicAccelerationDerivatives( | |
588 |
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10 | model, data, cmodel.joint2_id, joint2_M_c1, cmodel.reference_frame, |
589 |
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10 | cdata.dv2_dq.template bottomRows<3>(), cdata.da2_dq.template bottomRows<3>(), |
590 |
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10 | cdata.da2_dv.template bottomRows<3>(), cdata.da2_da.template bottomRows<3>()); |
591 | |||
592 | // TODO: This is only in case reference_frame is LOCAL | ||
593 |
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10 | contact_dvc_dq -= cdata.dv2_dq.template bottomRows<3>(); |
594 |
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10 | contact_dac_dq -= cdata.da2_dq.template bottomRows<3>(); |
595 |
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10 | contact_dac_dv -= cdata.da2_dv.template bottomRows<3>(); |
596 |
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10 | contact_dac_da -= cdata.da2_da.template bottomRows<3>(); |
597 | } | ||
598 | 32 | break; | |
599 | } | ||
600 | ✗ | default: | |
601 | ✗ | assert(false && "must never happen"); | |
602 | break; | ||
603 | } | ||
604 | |||
605 |
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58 | assert( |
606 | cmodel.loop_span_indexes.size() > 0 | ||
607 | && "Must never happened, the sparsity pattern is empty"); | ||
608 | // Derivative of closed loop kinematic tree | ||
609 |
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58 | if (cmodel.joint2_id > 0) |
610 | { | ||
611 |
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18 | switch (cmodel.type) |
612 | { | ||
613 | 8 | case CONTACT_6D: { | |
614 | // TODO: THIS IS FOR THE LOCAL FRAME ONLY | ||
615 | 8 | const typename Model::JointIndex joint2_id = cmodel.joint2_id; | |
616 | 8 | const Eigen::DenseIndex colRef2 = | |
617 |
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8 | nv(model.joints[joint2_id]) + idx_v(model.joints[joint2_id]) - 1; |
618 | |||
619 |
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8 | Force contact_force_in_WORLD; |
620 |
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8 | switch (cmodel.reference_frame) |
621 | { | ||
622 | 6 | case LOCAL: { | |
623 |
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6 | contact_force_in_WORLD = cdata.oMc1.act(cdata.contact_force); |
624 | 6 | break; | |
625 | } | ||
626 | 2 | case LOCAL_WORLD_ALIGNED: { | |
627 |
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2 | contact_force_in_WORLD = cdata.contact_force; |
628 |
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2 | contact_force_in_WORLD.angular().noalias() += |
629 |
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2 | cdata.oMc1.translation().cross(cdata.contact_force.linear()); |
630 | 2 | break; | |
631 | } | ||
632 | ✗ | default: { | |
633 | ✗ | assert(false && "must never happen"); | |
634 | break; | ||
635 | } | ||
636 | } | ||
637 | |||
638 | // d./dq | ||
639 |
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98 | for (Eigen::DenseIndex k = 0; k < Eigen::DenseIndex(cmodel.colwise_span_indexes.size()); |
640 | ++k) | ||
641 | { | ||
642 | 90 | const Eigen::DenseIndex col_id = cmodel.colwise_span_indexes[size_t(k)]; | |
643 | |||
644 |
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90 | const MotionRef<typename Data::Matrix6x::ColXpr> J_col(data.J.col(col_id)); |
645 |
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90 | const Force J_col_cross_contact_force_in_WORLD = J_col.cross(contact_force_in_WORLD); |
646 |
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1284 | for (Eigen::DenseIndex j = colRef2; j >= 0; j = data.parents_fromRow[(size_t)j]) |
647 | { | ||
648 |
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1194 | if (joint2_indexes[col_id]) |
649 | { | ||
650 |
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1532 | data.dtau_dq(j, col_id) -= |
651 |
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766 | data.J.col(j).dot(J_col_cross_contact_force_in_WORLD.toVector()); |
652 | } | ||
653 | else | ||
654 | { | ||
655 |
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856 | data.dtau_dq(j, col_id) += |
656 |
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428 | data.J.col(j).dot(J_col_cross_contact_force_in_WORLD.toVector()); |
657 | } | ||
658 | } | ||
659 | } | ||
660 | 8 | break; | |
661 | } | ||
662 | 10 | case CONTACT_3D: { | |
663 | |||
664 | typedef | ||
665 | typename SizeDepType<3>::template RowsReturn<typename Data::MatrixXs>::Type RowsBlock; | ||
666 |
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10 | RowsBlock contact_dac_dq = SizeDepType<3>::middleRows(data.dac_dq, current_row_sol_id); |
667 | 10 | const typename Model::JointIndex joint2_id = cmodel.joint2_id; | |
668 | 10 | const Eigen::DenseIndex colRef2 = | |
669 |
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10 | nv(model.joints[joint2_id]) + idx_v(model.joints[joint2_id]) - 1; |
670 | |||
671 |
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10 | Force of_tmp, of_tmp2; // temporary Force variables |
672 | |||
673 |
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10 | switch (cmodel.reference_frame) |
674 | { | ||
675 | 8 | case LOCAL: { | |
676 |
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8 | of_tmp.linear().noalias() = cdata.oMc1.rotation() * cdata.contact_force.linear(); |
677 | 16 | const Motion & c2_acc_c2 = getFrameClassicalAcceleration( | |
678 |
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8 | model, data, cmodel.joint2_id, cmodel.joint2_placement, cmodel.reference_frame); |
679 |
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8 | a_tmp.angular().noalias() = cdata.oMc2.rotation() * c2_acc_c2.linear(); |
680 | 8 | break; | |
681 | } | ||
682 | 2 | case LOCAL_WORLD_ALIGNED: { | |
683 |
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2 | of_tmp.linear() = cdata.contact_force.linear(); |
684 | 2 | break; | |
685 | } | ||
686 | ✗ | default: { | |
687 | ✗ | assert(false && "must never happen"); | |
688 | break; | ||
689 | } | ||
690 | } | ||
691 | |||
692 | // d./dq | ||
693 |
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444 | for (Eigen::DenseIndex k = 0; k < Eigen::DenseIndex(cmodel.loop_span_indexes.size()); ++k) |
694 | { | ||
695 | 434 | const Eigen::DenseIndex col_id = cmodel.loop_span_indexes[size_t(k)]; | |
696 | |||
697 |
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434 | const MotionRef<typename Data::Matrix6x::ColXpr> J_col(data.J.col(col_id)); |
698 | |||
699 |
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434 | switch (cmodel.reference_frame) |
700 | { | ||
701 | 350 | case LOCAL: { | |
702 |
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350 | a_tmp.linear().noalias() = a_tmp.angular().cross(J_col.angular()); |
703 |
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350 | if (joint2_indexes[col_id]) |
704 | { | ||
705 |
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316 | contact_dac_dq.col(col_id).noalias() += |
706 |
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632 | cdata.oMc1.rotation().transpose() * a_tmp.linear(); |
707 | } | ||
708 | else | ||
709 | { | ||
710 |
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34 | contact_dac_dq.col(col_id).noalias() -= |
711 |
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68 | cdata.oMc1.rotation().transpose() * a_tmp.linear(); |
712 | } | ||
713 | 350 | break; | |
714 | } | ||
715 | 84 | case LOCAL_WORLD_ALIGNED: { | |
716 | // Do nothing | ||
717 | 84 | break; | |
718 | } | ||
719 | ✗ | default: { | |
720 | ✗ | assert(false && "must never happen"); | |
721 | break; | ||
722 | } | ||
723 | } | ||
724 | |||
725 |
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434 | of_tmp2.linear().noalias() = of_tmp.linear().cross(J_col.angular()); |
726 |
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|
5900 | for (Eigen::DenseIndex j = colRef2; j >= 0; j = data.parents_fromRow[(size_t)j]) |
727 | { | ||
728 |
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5466 | const MotionRef<typename Data::Matrix6x::ColXpr> J2_col(data.J.col(j)); |
729 | |||
730 | // Temporary assignment | ||
731 |
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10932 | of_tmp2.angular().noalias() = |
732 |
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10932 | J2_col.linear() - cdata.oMc2.translation().cross(J2_col.angular()); |
733 |
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5466 | if (joint2_indexes[col_id]) |
734 | { | ||
735 |
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|
4918 | data.dtau_dq(j, col_id) += of_tmp2.angular().dot(of_tmp2.linear()); |
736 | } | ||
737 | else | ||
738 | { | ||
739 |
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548 | data.dtau_dq(j, col_id) -= of_tmp2.angular().dot(of_tmp2.linear()); |
740 | } | ||
741 | } | ||
742 | } | ||
743 | 10 | break; | |
744 | } | ||
745 | ✗ | default: { | |
746 | ✗ | assert(false && "must never happen"); | |
747 | break; | ||
748 | } | ||
749 | } | ||
750 | } | ||
751 | |||
752 | // Add the contribution of the corrector | ||
753 | 58 | if ( | |
754 |
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58 | check_expression_if_real<Scalar>(!isZero(cmodel.corrector.Kp, static_cast<Scalar>(0.))) |
755 |
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58 | || check_expression_if_real<Scalar>(!isZero(cmodel.corrector.Kd, static_cast<Scalar>(0.)))) |
756 | { | ||
757 |
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50 | Jlog6(cdata.c1Mc2.inverse(), Jlog); |
758 | |||
759 |
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50 | switch (cmodel.type) |
760 | { | ||
761 | 20 | case CONTACT_6D: { | |
762 | typedef | ||
763 | typename SizeDepType<6>::template RowsReturn<typename Data::MatrixXs>::Type RowsBlock; | ||
764 | const RowsBlock contact_dvc_dq = | ||
765 |
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20 | SizeDepType<6>::middleRows(data.dvc_dq, current_row_sol_id); |
766 |
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20 | RowsBlock contact_dac_dq = SizeDepType<6>::middleRows(data.dac_dq, current_row_sol_id); |
767 |
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20 | RowsBlock contact_dac_dv = SizeDepType<6>::middleRows(data.dac_dv, current_row_sol_id); |
768 | const RowsBlock contact_dac_da = | ||
769 |
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20 | SizeDepType<6>::middleRows(data.dac_da, current_row_sol_id); |
770 |
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20 | contact_dac_dq += cmodel.corrector.Kd.asDiagonal() * contact_dvc_dq; |
771 |
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20 | contact_dac_dv += cmodel.corrector.Kd.asDiagonal() * contact_dac_da; |
772 | // d./dq | ||
773 |
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|
258 | for (Eigen::DenseIndex k = 0; k < Eigen::DenseIndex(cmodel.colwise_span_indexes.size()); |
774 | ++k) | ||
775 | { | ||
776 | 238 | const Eigen::DenseIndex row_id = cmodel.colwise_span_indexes[size_t(k)]; | |
777 | // contact_dac_dq.col(row_id) += cmodel.corrector.Kd * contact_dvc_dq.col(row_id); | ||
778 |
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238 | contact_dac_dq.col(row_id).noalias() += |
779 |
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|
476 | cmodel.corrector.Kp.asDiagonal() * Jlog * contact_dac_da.col(row_id); |
780 | } | ||
781 | 20 | break; | |
782 | } | ||
783 | 30 | case CONTACT_3D: { | |
784 | typedef | ||
785 | typename SizeDepType<3>::template RowsReturn<typename Data::MatrixXs>::Type RowsBlock; | ||
786 | const RowsBlock contact_dvc_dq = | ||
787 |
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30 | SizeDepType<3>::middleRows(data.dvc_dq, current_row_sol_id); |
788 |
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30 | RowsBlock contact_dac_dq = SizeDepType<3>::middleRows(data.dac_dq, current_row_sol_id); |
789 |
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30 | RowsBlock contact_dac_dv = SizeDepType<3>::middleRows(data.dac_dv, current_row_sol_id); |
790 | const RowsBlock contact_dac_da = | ||
791 |
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30 | SizeDepType<3>::middleRows(data.dac_da, current_row_sol_id); |
792 |
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30 | if (cmodel.reference_frame == LOCAL) |
793 | { | ||
794 |
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48 | a_tmp.linear() = cmodel.corrector.Kd.asDiagonal() * cdata.oMc2.rotation() |
795 |
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48 | * cdata.contact2_velocity.linear(); |
796 |
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24 | typename SE3::Matrix3 vc2_cross_in_c1, vc2_cross_in_world; |
797 |
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24 | skew(a_tmp.linear(), vc2_cross_in_world); |
798 |
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24 | vc2_cross_in_c1.noalias() = cdata.oMc1.rotation().transpose() * vc2_cross_in_world; |
799 |
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|
1082 | for (Eigen::DenseIndex k = 0; k < Eigen::DenseIndex(cmodel.loop_span_indexes.size()); |
800 | ++k) | ||
801 | { | ||
802 | 1058 | const Eigen::DenseIndex row_id = cmodel.loop_span_indexes[size_t(k)]; | |
803 |
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1058 | const MotionRef<typename Data::Matrix6x::ColXpr> J_col(data.J.col(row_id)); |
804 |
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1058 | if (joint2_indexes[row_id]) |
805 | { | ||
806 |
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316 | contact_dac_dq.col(row_id).noalias() += vc2_cross_in_c1 * J_col.angular(); |
807 | } | ||
808 | else | ||
809 | { | ||
810 |
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|
742 | contact_dac_dq.col(row_id).noalias() -= vc2_cross_in_c1 * J_col.angular(); |
811 | } | ||
812 | } | ||
813 | 24 | const int colRef = | |
814 |
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24 | nv(model.joints[cmodel.joint1_id]) + idx_v(model.joints[cmodel.joint1_id]) - 1; |
815 |
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294 | for (Eigen::DenseIndex j = colRef; j >= 0; j = data.parents_fromRow[(size_t)j]) |
816 | { | ||
817 | typedef typename Data::Matrix6x::ColXpr ColType; | ||
818 |
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270 | const MotionRef<ColType> J_col(data.J.col(j)); |
819 |
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270 | a_tmp.angular() = cdata.oMc1.rotation().transpose() * J_col.angular(); |
820 |
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270 | contact_dac_dq.col(j).noalias() += |
821 |
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270 | cmodel.corrector.Kp.asDiagonal() |
822 |
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810 | * cdata.contact_placement_error.linear().cross(a_tmp.angular()); |
823 | } | ||
824 | } | ||
825 |
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30 | contact_dac_dq.noalias() += cmodel.corrector.Kd.asDiagonal() * contact_dvc_dq; |
826 |
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30 | contact_dac_dq.noalias() += cmodel.corrector.Kp.asDiagonal() * contact_dac_da; |
827 |
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30 | contact_dac_dv.noalias() += cmodel.corrector.Kd.asDiagonal() * contact_dac_da; |
828 | 30 | break; | |
829 | } | ||
830 | ✗ | default: | |
831 | ✗ | assert(false && "must never happen"); | |
832 | break; | ||
833 | } | ||
834 | } | ||
835 | |||
836 | 58 | current_row_sol_id += cmodel.size(); | |
837 | } | ||
838 | |||
839 |
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44 | data.contact_chol.getOperationalSpaceInertiaMatrix(data.osim); |
840 |
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44 | data.contact_chol.getInverseMassMatrix(data.Minv); |
841 | |||
842 | // Temporary: dlambda_dv stores J*Minv | ||
843 | 44 | typename Data::MatrixXs & JMinv = data.dlambda_dv; | |
844 | |||
845 |
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44 | JMinv.noalias() = data.dac_da * data.Minv; |
846 | 44 | MatrixType3 & ddq_partial_dtau_ = PINOCCHIO_EIGEN_CONST_CAST(MatrixType3, ddq_partial_dtau); | |
847 | MatrixType6 & lambda_partial_dtau_ = | ||
848 | 44 | PINOCCHIO_EIGEN_CONST_CAST(MatrixType6, lambda_partial_dtau); | |
849 | 44 | typename Data::MatrixXs & dlambda_dx_prox = data.dlambda_dx_prox; | |
850 | 44 | typename Data::MatrixXs & drhs_prox = data.drhs_prox; | |
851 | { | ||
852 |
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44 | lambda_partial_dtau_.noalias() = -data.osim * JMinv; // OUTPUT |
853 |
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84 | for (int it = 1; it < settings.iter; ++it) |
854 | { | ||
855 |
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40 | lambda_partial_dtau_.swap(dlambda_dx_prox); |
856 |
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40 | dlambda_dx_prox *= settings.mu; |
857 |
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40 | dlambda_dx_prox -= JMinv; |
858 |
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40 | lambda_partial_dtau_.noalias() = data.osim * dlambda_dx_prox; |
859 | } | ||
860 | |||
861 |
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44 | if (settings.iter % 2 == 0 && settings.iter > 0) |
862 | { | ||
863 |
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8 | lambda_partial_dtau_.swap(dlambda_dx_prox); // restore previous memory address |
864 |
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8 | lambda_partial_dtau_ = dlambda_dx_prox; |
865 | } | ||
866 | } | ||
867 | |||
868 |
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44 | ddq_partial_dtau_.noalias() = JMinv.transpose() * lambda_partial_dtau; |
869 |
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44 | ddq_partial_dtau_ += data.Minv; // OUTPUT |
870 | |||
871 | 44 | MatrixType4 & lambda_partial_dq_ = PINOCCHIO_EIGEN_CONST_CAST(MatrixType4, lambda_partial_dq); | |
872 |
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44 | drhs_prox.noalias() = -JMinv * data.dtau_dq; |
873 |
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44 | drhs_prox += data.dac_dq; |
874 | { | ||
875 |
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44 | lambda_partial_dq_.noalias() = -data.osim * data.drhs_prox; // OUTPUT |
876 |
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84 | for (int it = 1; it < settings.iter; ++it) |
877 | { | ||
878 |
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40 | lambda_partial_dq_.swap(dlambda_dx_prox); |
879 |
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40 | dlambda_dx_prox *= settings.mu; |
880 |
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40 | dlambda_dx_prox -= drhs_prox; |
881 |
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40 | lambda_partial_dq_.noalias() = data.osim * dlambda_dx_prox; |
882 | } | ||
883 | |||
884 |
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44 | if (settings.iter % 2 == 0 && settings.iter > 0) |
885 | { | ||
886 |
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8 | lambda_partial_dq_.swap(dlambda_dx_prox); // restore previous memory address |
887 |
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8 | lambda_partial_dq_ = dlambda_dx_prox; |
888 | } | ||
889 | } | ||
890 | |||
891 | 44 | MatrixType5 & lambda_partial_dv_ = PINOCCHIO_EIGEN_CONST_CAST(MatrixType5, lambda_partial_dv); | |
892 |
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44 | drhs_prox.noalias() = -JMinv * data.dtau_dv; |
893 |
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44 | drhs_prox += data.dac_dv; |
894 | { | ||
895 |
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44 | lambda_partial_dv_.noalias() = -data.osim * data.drhs_prox; // OUTPUT |
896 |
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84 | for (int it = 1; it < settings.iter; ++it) |
897 | { | ||
898 |
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40 | lambda_partial_dv_.swap(dlambda_dx_prox); |
899 |
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40 | dlambda_dx_prox *= settings.mu; |
900 |
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40 | dlambda_dx_prox -= drhs_prox; |
901 |
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40 | lambda_partial_dv_.noalias() = data.osim * dlambda_dx_prox; |
902 | } | ||
903 | |||
904 |
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44 | if (settings.iter % 2 == 0 && settings.iter > 0) |
905 | { | ||
906 |
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8 | lambda_partial_dv_.swap(dlambda_dx_prox); // restore previous memory address |
907 |
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8 | lambda_partial_dv_ = dlambda_dx_prox; |
908 | } | ||
909 | } | ||
910 | |||
911 | 44 | current_row_sol_id = 0; | |
912 |
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102 | for (size_t k = 0; k < contact_models.size(); ++k) |
913 | { | ||
914 | 58 | const RigidConstraintModel & cmodel = contact_models[k]; | |
915 | |||
916 |
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58 | switch (cmodel.type) |
917 | { | ||
918 | 26 | case CONTACT_6D: { | |
919 | |||
920 | typedef | ||
921 | typename SizeDepType<6>::template RowsReturn<typename Data::MatrixXs>::Type RowsBlock; | ||
922 | typedef typename SizeDepType<6>::template RowsReturn<typename Data::MatrixXs>::ConstType | ||
923 | ConstRowsBlock; | ||
924 | |||
925 | // TODO: replace with contact_model::nc | ||
926 |
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26 | RowsBlock contact_dac_da = SizeDepType<6>::middleRows(data.dac_da, current_row_sol_id); |
927 | |||
928 | ConstRowsBlock contact_dlambda_dq = | ||
929 |
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26 | SizeDepType<6>::middleRows(lambda_partial_dq, current_row_sol_id); |
930 | ConstRowsBlock contact_dlambda_dv = | ||
931 |
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26 | SizeDepType<6>::middleRows(lambda_partial_dv, current_row_sol_id); |
932 | |||
933 | // TODO: Sparsity in dac_da with loop joints? | ||
934 | |||
935 |
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26 | data.dtau_dq.noalias() -= contact_dac_da.transpose() * contact_dlambda_dq; |
936 |
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26 | data.dtau_dv.noalias() -= contact_dac_da.transpose() * contact_dlambda_dv; |
937 | |||
938 | // END TODO | ||
939 | |||
940 | /* | ||
941 | |||
942 | for(Eigen::DenseIndex j=colRef;j>=0;j=data.parents_fromRow[(size_t)j]) | ||
943 | { | ||
944 | data.dtau_dq.row(j).noalias() -= contact_dac_da.col(j).transpose() * contact_dlambda_dq; | ||
945 | data.dtau_dv.row(j).noalias() -= contact_dac_da.col(j).transpose() * contact_dlambda_dv; | ||
946 | } | ||
947 | */ | ||
948 | 26 | break; | |
949 | } | ||
950 | 32 | case CONTACT_3D: { | |
951 | |||
952 | typedef | ||
953 | typename SizeDepType<3>::template RowsReturn<typename Data::MatrixXs>::Type RowsBlock; | ||
954 | typedef typename SizeDepType<3>::template RowsReturn<typename Data::MatrixXs>::ConstType | ||
955 | ConstRowsBlock; | ||
956 | |||
957 |
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32 | RowsBlock contact_dac_da = SizeDepType<3>::middleRows(data.dac_da, current_row_sol_id); |
958 | |||
959 | ConstRowsBlock contact_dlambda_dq = | ||
960 |
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32 | SizeDepType<3>::middleRows(lambda_partial_dq, current_row_sol_id); |
961 | ConstRowsBlock contact_dlambda_dv = | ||
962 |
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32 | SizeDepType<3>::middleRows(lambda_partial_dv, current_row_sol_id); |
963 | |||
964 | // TODO: Sparsity in dac_da with loop joints? | ||
965 | |||
966 |
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32 | data.dtau_dq.noalias() -= contact_dac_da.transpose() * contact_dlambda_dq; |
967 |
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32 | data.dtau_dv.noalias() -= contact_dac_da.transpose() * contact_dlambda_dv; |
968 | |||
969 | // END TODO | ||
970 | /* | ||
971 | |||
972 | |||
973 | |||
974 | for(Eigen::DenseIndex j=colRef;j>=0;j=data.parents_fromRow[(size_t)j]) | ||
975 | { | ||
976 | data.dtau_dq.row(j).noalias() -= contact_dac_da.col(j).transpose() * contact_dlambda_dq; | ||
977 | data.dtau_dv.row(j).noalias() -= contact_dac_da.col(j).transpose() * contact_dlambda_dv; | ||
978 | } | ||
979 | */ | ||
980 | 32 | break; | |
981 | } | ||
982 | |||
983 | ✗ | default: | |
984 | ✗ | assert(false && "must never happen"); | |
985 | break; | ||
986 | } | ||
987 | 58 | current_row_sol_id += cmodel.size(); | |
988 | } | ||
989 | |||
990 |
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44 | PINOCCHIO_EIGEN_CONST_CAST(MatrixType1, ddq_partial_dq).noalias() = |
991 |
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44 | -data.Minv * data.dtau_dq; // OUTPUT |
992 |
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44 | PINOCCHIO_EIGEN_CONST_CAST(MatrixType2, ddq_partial_dv).noalias() = |
993 |
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44 | -data.Minv * data.dtau_dv; // OUTPUT |
994 | |||
995 | 44 | MatrixType4 & dfc_dq = PINOCCHIO_EIGEN_CONST_CAST(MatrixType4, lambda_partial_dq); | |
996 | typedef typename SizeDepType<6>::template RowsReturn<typename Data::MatrixXs>::Type Rows6Block; | ||
997 | typedef typename SizeDepType<3>::template RowsReturn<typename Data::MatrixXs>::Type Rows3Block; | ||
998 | |||
999 | 44 | current_row_sol_id = 0; | |
1000 |
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102 | for (size_t k = 0; k < contact_models.size(); ++k) |
1001 | { | ||
1002 | 58 | const RigidConstraintModel & cmodel = contact_models[k]; | |
1003 | 58 | const RigidConstraintData & cdata = contact_data[k]; | |
1004 | 58 | const typename Model::JointIndex joint1_id = cmodel.joint1_id; | |
1005 |
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58 | const int colRef = nv(model.joints[joint1_id]) + idx_v(model.joints[joint1_id]) - 1; |
1006 | |||
1007 |
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58 | switch (cmodel.reference_frame) |
1008 | { | ||
1009 | 46 | case LOCAL: | |
1010 | 46 | break; | |
1011 | 12 | case LOCAL_WORLD_ALIGNED: { | |
1012 | 12 | const Force & of = cdata.contact_force; | |
1013 |
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12 | switch (cmodel.type) |
1014 | { | ||
1015 | 6 | case CONTACT_6D: { | |
1016 |
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6 | Rows6Block contact_dfc_dq = SizeDepType<6>::middleRows(dfc_dq, current_row_sol_id); |
1017 |
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80 | for (Eigen::DenseIndex j = colRef; j >= 0; j = data.parents_fromRow[(size_t)j]) |
1018 | { | ||
1019 | typedef typename Data::Matrix6x::ColXpr ColType; | ||
1020 | typedef typename Rows6Block::ColXpr ColTypeOut; | ||
1021 |
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74 | const MotionRef<ColType> J_col(data.J.col(j)); |
1022 |
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74 | ForceRef<ColTypeOut> fout(contact_dfc_dq.col(j)); |
1023 |
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74 | fout.linear().noalias() += J_col.angular().cross(of.linear()); |
1024 |
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74 | fout.angular().noalias() += J_col.angular().cross(of.angular()); |
1025 | } | ||
1026 | 6 | break; | |
1027 | } | ||
1028 | 6 | case CONTACT_3D: { | |
1029 |
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6 | Rows3Block contact_dfc_dq = SizeDepType<3>::middleRows(dfc_dq, current_row_sol_id); |
1030 |
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84 | for (Eigen::DenseIndex j = colRef; j >= 0; j = data.parents_fromRow[(size_t)j]) |
1031 | { | ||
1032 | typedef typename Data::Matrix6x::ColXpr ColType; | ||
1033 |
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78 | const MotionRef<ColType> J_col(data.J.col(j)); |
1034 |
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78 | contact_dfc_dq.col(j).noalias() += J_col.angular().cross(of.linear()); |
1035 | } | ||
1036 | 6 | break; | |
1037 | } | ||
1038 | ✗ | default: | |
1039 | ✗ | assert(false && "must never happen"); | |
1040 | break; | ||
1041 | } | ||
1042 | 12 | break; | |
1043 | } | ||
1044 | ✗ | default: | |
1045 | ✗ | assert(false && "must never happen"); | |
1046 | break; | ||
1047 | } | ||
1048 | 58 | current_row_sol_id += cmodel.size(); | |
1049 | } | ||
1050 | 44 | } | |
1051 | |||
1052 | } // namespace pinocchio | ||
1053 | |||
1054 | #endif // ifndef __pinocchio_algorithm_constraint_dynamics_derivatives_hxx__ | ||
1055 |