Directory: | ./ |
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File: | include/crocoddyl/multibody/actions/impulse-fwddyn.hxx |
Date: | 2025-01-16 08:47:40 |
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Lines: | 164 | 204 | 80.4% |
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1 | /////////////////////////////////////////////////////////////////////////////// | ||
2 | // BSD 3-Clause License | ||
3 | // | ||
4 | // Copyright (C) 2019-2024, LAAS-CNRS, University of Edinburgh, | ||
5 | // University of Oxford, Heriot-Watt University | ||
6 | // Copyright note valid unless otherwise stated in individual files. | ||
7 | // All rights reserved. | ||
8 | /////////////////////////////////////////////////////////////////////////////// | ||
9 | |||
10 | namespace crocoddyl { | ||
11 | |||
12 | template <typename Scalar> | ||
13 | 69 | ActionModelImpulseFwdDynamicsTpl<Scalar>::ActionModelImpulseFwdDynamicsTpl( | |
14 | boost::shared_ptr<StateMultibody> state, | ||
15 | boost::shared_ptr<ImpulseModelMultiple> impulses, | ||
16 | boost::shared_ptr<CostModelSum> costs, const Scalar r_coeff, | ||
17 | const Scalar JMinvJt_damping, const bool enable_force) | ||
18 | : Base(state, 0, costs->get_nr(), 0, 0), | ||
19 | 69 | impulses_(impulses), | |
20 | 69 | costs_(costs), | |
21 | 69 | constraints_(nullptr), | |
22 | 69 | pinocchio_(*state->get_pinocchio().get()), | |
23 | 69 | with_armature_(true), | |
24 |
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69 | armature_(VectorXs::Zero(state->get_nv())), |
25 | 69 | r_coeff_(r_coeff), | |
26 | 69 | JMinvJt_damping_(JMinvJt_damping), | |
27 | 69 | enable_force_(enable_force), | |
28 |
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138 | gravity_(state->get_pinocchio()->gravity) { |
29 |
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69 | init(); |
30 | 69 | } | |
31 | |||
32 | template <typename Scalar> | ||
33 | 12 | ActionModelImpulseFwdDynamicsTpl<Scalar>::ActionModelImpulseFwdDynamicsTpl( | |
34 | boost::shared_ptr<StateMultibody> state, | ||
35 | boost::shared_ptr<ImpulseModelMultiple> impulses, | ||
36 | boost::shared_ptr<CostModelSum> costs, | ||
37 | boost::shared_ptr<ConstraintModelManager> constraints, const Scalar r_coeff, | ||
38 | const Scalar JMinvJt_damping, const bool enable_force) | ||
39 | : Base(state, 0, costs->get_nr(), constraints->get_ng(), | ||
40 | constraints->get_nh(), constraints->get_ng_T(), | ||
41 | constraints->get_nh_T()), | ||
42 | 12 | impulses_(impulses), | |
43 | 12 | costs_(costs), | |
44 | 12 | constraints_(constraints), | |
45 | 12 | pinocchio_(*state->get_pinocchio().get()), | |
46 | 12 | with_armature_(true), | |
47 |
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12 | armature_(VectorXs::Zero(state->get_nv())), |
48 | 12 | r_coeff_(r_coeff), | |
49 | 12 | JMinvJt_damping_(JMinvJt_damping), | |
50 | 12 | enable_force_(enable_force), | |
51 |
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24 | gravity_(state->get_pinocchio()->gravity) { |
52 |
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12 | init(); |
53 | 12 | } | |
54 | |||
55 | template <typename Scalar> | ||
56 | 166 | ActionModelImpulseFwdDynamicsTpl<Scalar>::~ActionModelImpulseFwdDynamicsTpl() {} | |
57 | |||
58 | template <typename Scalar> | ||
59 | 81 | void ActionModelImpulseFwdDynamicsTpl<Scalar>::init() { | |
60 |
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81 | if (r_coeff_ < Scalar(0.)) { |
61 | ✗ | r_coeff_ = Scalar(0.); | |
62 | ✗ | throw_pretty("Invalid argument: " | |
63 | << "The restitution coefficient has to be positive, set to 0"); | ||
64 | } | ||
65 |
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81 | if (JMinvJt_damping_ < Scalar(0.)) { |
66 | ✗ | JMinvJt_damping_ = Scalar(0.); | |
67 | ✗ | throw_pretty("Invalid argument: " | |
68 | << "The damping factor has to be positive, set to 0"); | ||
69 | } | ||
70 | 81 | } | |
71 | |||
72 | template <typename Scalar> | ||
73 | 4050 | void ActionModelImpulseFwdDynamicsTpl<Scalar>::calc( | |
74 | const boost::shared_ptr<ActionDataAbstract>& data, | ||
75 | const Eigen::Ref<const VectorXs>& x, const Eigen::Ref<const VectorXs>& u) { | ||
76 | 4050 | Data* d = static_cast<Data*>(data.get()); | |
77 | |||
78 | // Computing impulse dynamics and forces | ||
79 | 4050 | initCalc(d, x); | |
80 | |||
81 | // Computing the cost and constraints | ||
82 | 4050 | costs_->calc(d->costs, x, u); | |
83 | 4050 | d->cost = d->costs->cost; | |
84 |
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4050 | if (constraints_ != nullptr) { |
85 | 796 | d->constraints->resize(this, d); | |
86 | 796 | constraints_->calc(d->constraints, x, u); | |
87 | } | ||
88 | 4050 | } | |
89 | |||
90 | template <typename Scalar> | ||
91 | 2930 | void ActionModelImpulseFwdDynamicsTpl<Scalar>::calc( | |
92 | const boost::shared_ptr<ActionDataAbstract>& data, | ||
93 | const Eigen::Ref<const VectorXs>& x) { | ||
94 | 2930 | Data* d = static_cast<Data*>(data.get()); | |
95 | |||
96 | // Computing impulse dynamics and forces | ||
97 | 2930 | initCalc(d, x); | |
98 | |||
99 | // Computing the cost and constraints | ||
100 | 2930 | costs_->calc(d->costs, x); | |
101 | 2930 | d->cost = d->costs->cost; | |
102 |
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2930 | if (constraints_ != nullptr) { |
103 | ✗ | d->constraints->resize(this, d, false); | |
104 | ✗ | constraints_->calc(d->constraints, x); | |
105 | } | ||
106 | 2930 | } | |
107 | |||
108 | template <typename Scalar> | ||
109 | 196 | void ActionModelImpulseFwdDynamicsTpl<Scalar>::calcDiff( | |
110 | const boost::shared_ptr<ActionDataAbstract>& data, | ||
111 | const Eigen::Ref<const VectorXs>& x, const Eigen::Ref<const VectorXs>& u) { | ||
112 | 196 | Data* d = static_cast<Data*>(data.get()); | |
113 | |||
114 | // Computing derivatives of impulse dynamics and forces | ||
115 | 196 | initCalcDiff(d, x); | |
116 | |||
117 | // Computing derivatives of cost and constraints | ||
118 | 196 | costs_->calcDiff(d->costs, x, u); | |
119 |
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196 | if (constraints_ != nullptr) { |
120 | 12 | constraints_->calcDiff(d->constraints, x, u); | |
121 | } | ||
122 | 196 | } | |
123 | |||
124 | template <typename Scalar> | ||
125 | 52 | void ActionModelImpulseFwdDynamicsTpl<Scalar>::calcDiff( | |
126 | const boost::shared_ptr<ActionDataAbstract>& data, | ||
127 | const Eigen::Ref<const VectorXs>& x) { | ||
128 | 52 | Data* d = static_cast<Data*>(data.get()); | |
129 | |||
130 | // Computing derivatives of impulse dynamics and forces | ||
131 | 52 | initCalcDiff(d, x); | |
132 | |||
133 | // Computing derivatives of cost and constraints | ||
134 | 52 | costs_->calcDiff(d->costs, x); | |
135 |
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52 | if (constraints_ != nullptr) { |
136 | ✗ | constraints_->calcDiff(d->constraints, x); | |
137 | } | ||
138 | 52 | } | |
139 | |||
140 | template <typename Scalar> | ||
141 | boost::shared_ptr<ActionDataAbstractTpl<Scalar> > | ||
142 | 4256 | ActionModelImpulseFwdDynamicsTpl<Scalar>::createData() { | |
143 |
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4256 | return boost::allocate_shared<Data>(Eigen::aligned_allocator<Data>(), this); |
144 | } | ||
145 | |||
146 | template <typename Scalar> | ||
147 | 128 | bool ActionModelImpulseFwdDynamicsTpl<Scalar>::checkData( | |
148 | const boost::shared_ptr<ActionDataAbstract>& data) { | ||
149 | 128 | boost::shared_ptr<Data> d = boost::dynamic_pointer_cast<Data>(data); | |
150 |
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128 | if (d != NULL) { |
151 | 128 | return true; | |
152 | } else { | ||
153 | ✗ | return false; | |
154 | } | ||
155 | 128 | } | |
156 | |||
157 | template <typename Scalar> | ||
158 | 160 | void ActionModelImpulseFwdDynamicsTpl<Scalar>::quasiStatic( | |
159 | const boost::shared_ptr<ActionDataAbstract>&, Eigen::Ref<VectorXs>, | ||
160 | const Eigen::Ref<const VectorXs>&, const std::size_t, const Scalar) { | ||
161 | // do nothing | ||
162 | 160 | } | |
163 | |||
164 | template <typename Scalar> | ||
165 | 6980 | void ActionModelImpulseFwdDynamicsTpl<Scalar>::initCalc( | |
166 | Data* data, const Eigen::Ref<const VectorXs>& x) { | ||
167 |
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6980 | if (static_cast<std::size_t>(x.size()) != state_->get_nx()) { |
168 | ✗ | throw_pretty( | |
169 | "Invalid argument: " << "x has wrong dimension (it should be " + | ||
170 | std::to_string(state_->get_nx()) + ")"); | ||
171 | } | ||
172 | |||
173 | 6980 | const std::size_t nq = state_->get_nq(); | |
174 | 6980 | const std::size_t nv = state_->get_nv(); | |
175 | 6980 | const std::size_t nc = impulses_->get_nc(); | |
176 | const Eigen::VectorBlock<const Eigen::Ref<const VectorXs>, Eigen::Dynamic> q = | ||
177 |
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6980 | x.head(nq); |
178 | const Eigen::VectorBlock<const Eigen::Ref<const VectorXs>, Eigen::Dynamic> v = | ||
179 |
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6980 | x.tail(nv); |
180 | |||
181 | // Computing the forward dynamics with the holonomic constraints defined by | ||
182 | // the contact model | ||
183 |
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6980 | pinocchio::computeAllTerms(pinocchio_, data->pinocchio, q, v); |
184 |
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6980 | pinocchio::computeCentroidalMomentum(pinocchio_, data->pinocchio); |
185 | |||
186 |
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6980 | if (!with_armature_) { |
187 | ✗ | data->pinocchio.M.diagonal() += armature_; | |
188 | } | ||
189 |
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6980 | impulses_->calc(data->multibody.impulses, x); |
190 | |||
191 | #ifndef NDEBUG | ||
192 |
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6980 | Eigen::FullPivLU<MatrixXs> Jc_lu(data->multibody.impulses->Jc.topRows(nc)); |
193 | |||
194 |
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6980 | if (Jc_lu.rank() < data->multibody.impulses->Jc.topRows(nc).rows() && |
195 | ✗ | JMinvJt_damping_ == Scalar(0.)) { | |
196 | ✗ | throw_pretty( | |
197 | "It is needed a damping factor since the contact Jacobian is not " | ||
198 | "full-rank"); | ||
199 | } | ||
200 | #endif | ||
201 | |||
202 |
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6980 | pinocchio::impulseDynamics(pinocchio_, data->pinocchio, v, |
203 |
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6980 | data->multibody.impulses->Jc.topRows(nc), r_coeff_, |
204 | JMinvJt_damping_); | ||
205 |
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6980 | data->xnext.head(nq) = q; |
206 |
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6980 | data->xnext.tail(nv) = data->pinocchio.dq_after; |
207 |
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6980 | impulses_->updateVelocity(data->multibody.impulses, data->pinocchio.dq_after); |
208 |
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6980 | impulses_->updateForce(data->multibody.impulses, data->pinocchio.impulse_c); |
209 | 6980 | } | |
210 | |||
211 | template <typename Scalar> | ||
212 | 248 | void ActionModelImpulseFwdDynamicsTpl<Scalar>::initCalcDiff( | |
213 | Data* data, const Eigen::Ref<const VectorXs>& x) { | ||
214 |
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248 | if (static_cast<std::size_t>(x.size()) != state_->get_nx()) { |
215 | ✗ | throw_pretty( | |
216 | "Invalid argument: " << "x has wrong dimension (it should be " + | ||
217 | std::to_string(state_->get_nx()) + ")"); | ||
218 | } | ||
219 | |||
220 | 248 | const std::size_t nv = state_->get_nv(); | |
221 | 248 | const std::size_t nc = impulses_->get_nc(); | |
222 | const Eigen::VectorBlock<const Eigen::Ref<const VectorXs>, Eigen::Dynamic> q = | ||
223 |
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248 | x.head(state_->get_nq()); |
224 | const Eigen::VectorBlock<const Eigen::Ref<const VectorXs>, Eigen::Dynamic> v = | ||
225 |
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248 | x.tail(nv); |
226 | |||
227 | // Computing the dynamics derivatives | ||
228 | // We resize the Kinv matrix because Eigen cannot call block operations | ||
229 | // recursively: https://eigen.tuxfamily.org/bz/show_bug.cgi?id=408. Therefore, | ||
230 | // it is not possible to pass d->Kinv.topLeftCorner(nv + nc, nv + nc) | ||
231 |
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248 | data->Kinv.resize(nv + nc, nv + nc); |
232 |
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248 | pinocchio::computeRNEADerivatives(pinocchio_, data->pinocchio, q, data->vnone, |
233 | 248 | data->pinocchio.dq_after - v, | |
234 |
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248 | data->multibody.impulses->fext); |
235 | 248 | pinocchio::computeGeneralizedGravityDerivatives(pinocchio_, data->pinocchio, | |
236 |
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248 | q, data->dgrav_dq); |
237 | 248 | pinocchio::getKKTContactDynamicMatrixInverse( | |
238 |
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248 | pinocchio_, data->pinocchio, data->multibody.impulses->Jc.topRows(nc), |
239 | 248 | data->Kinv); | |
240 | |||
241 | 248 | pinocchio::computeForwardKinematicsDerivatives( | |
242 |
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248 | pinocchio_, data->pinocchio, q, data->pinocchio.dq_after, data->vnone); |
243 |
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248 | impulses_->calcDiff(data->multibody.impulses, x); |
244 |
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248 | impulses_->updateRneaDiff(data->multibody.impulses, data->pinocchio); |
245 | |||
246 |
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248 | Eigen::Block<MatrixXs> a_partial_dtau = data->Kinv.topLeftCorner(nv, nv); |
247 |
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248 | Eigen::Block<MatrixXs> a_partial_da = data->Kinv.topRightCorner(nv, nc); |
248 |
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248 | Eigen::Block<MatrixXs> f_partial_dtau = data->Kinv.bottomLeftCorner(nc, nv); |
249 |
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248 | Eigen::Block<MatrixXs> f_partial_da = data->Kinv.bottomRightCorner(nc, nc); |
250 | |||
251 |
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248 | data->pinocchio.dtau_dq -= data->dgrav_dq; |
252 |
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248 | data->pinocchio.M.template triangularView<Eigen::StrictlyLower>() = |
253 |
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248 | data->pinocchio.M.transpose() |
254 |
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248 | .template triangularView<Eigen::StrictlyLower>(); |
255 |
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248 | data->Fx.topLeftCorner(nv, nv).setIdentity(); |
256 |
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248 | data->Fx.topRightCorner(nv, nv).setZero(); |
257 |
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248 | data->Fx.bottomLeftCorner(nv, nv).noalias() = |
258 |
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248 | -a_partial_dtau * data->pinocchio.dtau_dq; |
259 |
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248 | data->Fx.bottomLeftCorner(nv, nv).noalias() -= |
260 |
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248 | a_partial_da * data->multibody.impulses->dv0_dq.topRows(nc); |
261 |
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248 | data->Fx.bottomRightCorner(nv, nv).noalias() = |
262 |
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248 | a_partial_dtau * data->pinocchio.M; |
263 | |||
264 | // Computing the cost derivatives | ||
265 |
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248 | if (enable_force_) { |
266 |
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248 | data->df_dx.topLeftCorner(nc, nv).noalias() = |
267 |
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248 | f_partial_dtau * data->pinocchio.dtau_dq; |
268 |
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248 | data->df_dx.topLeftCorner(nc, nv).noalias() += |
269 |
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248 | f_partial_da * data->multibody.impulses->dv0_dq.topRows(nc); |
270 |
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248 | data->df_dx.topRightCorner(nc, nv).noalias() = |
271 |
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248 | f_partial_da * data->multibody.impulses->Jc.topRows(nc); |
272 |
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496 | impulses_->updateVelocityDiff(data->multibody.impulses, |
273 |
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248 | data->Fx.bottomRows(nv)); |
274 |
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496 | impulses_->updateForceDiff(data->multibody.impulses, |
275 |
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496 | data->df_dx.topRows(nc)); |
276 | } | ||
277 | 248 | } | |
278 | |||
279 | template <typename Scalar> | ||
280 | 13716 | std::size_t ActionModelImpulseFwdDynamicsTpl<Scalar>::get_ng() const { | |
281 |
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13716 | if (constraints_ != nullptr) { |
282 | 3208 | return constraints_->get_ng(); | |
283 | } else { | ||
284 | 10508 | return Base::get_ng(); | |
285 | } | ||
286 | } | ||
287 | |||
288 | template <typename Scalar> | ||
289 | 13676 | std::size_t ActionModelImpulseFwdDynamicsTpl<Scalar>::get_nh() const { | |
290 |
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13676 | if (constraints_ != nullptr) { |
291 | 3208 | return constraints_->get_nh(); | |
292 | } else { | ||
293 | 10468 | return Base::get_nh(); | |
294 | } | ||
295 | } | ||
296 | |||
297 | template <typename Scalar> | ||
298 | 25640 | std::size_t ActionModelImpulseFwdDynamicsTpl<Scalar>::get_ng_T() const { | |
299 |
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25640 | if (constraints_ != nullptr) { |
300 | 4788 | return constraints_->get_ng_T(); | |
301 | } else { | ||
302 | 20852 | return Base::get_ng_T(); | |
303 | } | ||
304 | } | ||
305 | |||
306 | template <typename Scalar> | ||
307 | 25636 | std::size_t ActionModelImpulseFwdDynamicsTpl<Scalar>::get_nh_T() const { | |
308 |
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25636 | if (constraints_ != nullptr) { |
309 | 4788 | return constraints_->get_nh_T(); | |
310 | } else { | ||
311 | 20848 | return Base::get_nh_T(); | |
312 | } | ||
313 | } | ||
314 | |||
315 | template <typename Scalar> | ||
316 | const typename MathBaseTpl<Scalar>::VectorXs& | ||
317 | ✗ | ActionModelImpulseFwdDynamicsTpl<Scalar>::get_g_lb() const { | |
318 | ✗ | if (constraints_ != nullptr) { | |
319 | ✗ | return constraints_->get_lb(); | |
320 | } else { | ||
321 | ✗ | return g_lb_; | |
322 | } | ||
323 | } | ||
324 | |||
325 | template <typename Scalar> | ||
326 | const typename MathBaseTpl<Scalar>::VectorXs& | ||
327 | ✗ | ActionModelImpulseFwdDynamicsTpl<Scalar>::get_g_ub() const { | |
328 | ✗ | if (constraints_ != nullptr) { | |
329 | ✗ | return constraints_->get_ub(); | |
330 | } else { | ||
331 | ✗ | return g_lb_; | |
332 | } | ||
333 | } | ||
334 | |||
335 | template <typename Scalar> | ||
336 | 44 | void ActionModelImpulseFwdDynamicsTpl<Scalar>::print(std::ostream& os) const { | |
337 | 44 | os << "ActionModelImpulseFwdDynamics {nx=" << state_->get_nx() | |
338 | 44 | << ", ndx=" << state_->get_ndx() << ", nc=" << impulses_->get_nc() << "}"; | |
339 | 44 | } | |
340 | |||
341 | template <typename Scalar> | ||
342 | pinocchio::ModelTpl<Scalar>& | ||
343 | 4256 | ActionModelImpulseFwdDynamicsTpl<Scalar>::get_pinocchio() const { | |
344 | 4256 | return pinocchio_; | |
345 | } | ||
346 | |||
347 | template <typename Scalar> | ||
348 | const boost::shared_ptr<ImpulseModelMultipleTpl<Scalar> >& | ||
349 | 17024 | ActionModelImpulseFwdDynamicsTpl<Scalar>::get_impulses() const { | |
350 | 17024 | return impulses_; | |
351 | } | ||
352 | |||
353 | template <typename Scalar> | ||
354 | const boost::shared_ptr<CostModelSumTpl<Scalar> >& | ||
355 | 4442 | ActionModelImpulseFwdDynamicsTpl<Scalar>::get_costs() const { | |
356 | 4442 | return costs_; | |
357 | } | ||
358 | |||
359 | template <typename Scalar> | ||
360 | const boost::shared_ptr<ConstraintModelManagerTpl<Scalar> >& | ||
361 | 5052 | ActionModelImpulseFwdDynamicsTpl<Scalar>::get_constraints() const { | |
362 | 5052 | return constraints_; | |
363 | } | ||
364 | |||
365 | template <typename Scalar> | ||
366 | const typename MathBaseTpl<Scalar>::VectorXs& | ||
367 | ✗ | ActionModelImpulseFwdDynamicsTpl<Scalar>::get_armature() const { | |
368 | ✗ | return armature_; | |
369 | } | ||
370 | |||
371 | template <typename Scalar> | ||
372 | const Scalar | ||
373 | ✗ | ActionModelImpulseFwdDynamicsTpl<Scalar>::get_restitution_coefficient() const { | |
374 | ✗ | return r_coeff_; | |
375 | } | ||
376 | |||
377 | template <typename Scalar> | ||
378 | ✗ | const Scalar ActionModelImpulseFwdDynamicsTpl<Scalar>::get_damping_factor() | |
379 | const { | ||
380 | ✗ | return JMinvJt_damping_; | |
381 | } | ||
382 | |||
383 | template <typename Scalar> | ||
384 | ✗ | void ActionModelImpulseFwdDynamicsTpl<Scalar>::set_armature( | |
385 | const VectorXs& armature) { | ||
386 | ✗ | if (static_cast<std::size_t>(armature.size()) != state_->get_nv()) { | |
387 | ✗ | throw_pretty("Invalid argument: " | |
388 | << "The armature dimension is wrong (it should be " + | ||
389 | std::to_string(state_->get_nv()) + ")"); | ||
390 | } | ||
391 | ✗ | armature_ = armature; | |
392 | ✗ | with_armature_ = false; | |
393 | } | ||
394 | |||
395 | template <typename Scalar> | ||
396 | ✗ | void ActionModelImpulseFwdDynamicsTpl<Scalar>::set_restitution_coefficient( | |
397 | const Scalar r_coeff) { | ||
398 | ✗ | if (r_coeff < 0.) { | |
399 | ✗ | throw_pretty("Invalid argument: " | |
400 | << "The restitution coefficient has to be positive"); | ||
401 | } | ||
402 | ✗ | r_coeff_ = r_coeff; | |
403 | } | ||
404 | |||
405 | template <typename Scalar> | ||
406 | ✗ | void ActionModelImpulseFwdDynamicsTpl<Scalar>::set_damping_factor( | |
407 | const Scalar damping) { | ||
408 | ✗ | if (damping < 0.) { | |
409 | ✗ | throw_pretty( | |
410 | "Invalid argument: " << "The damping factor has to be positive"); | ||
411 | } | ||
412 | ✗ | JMinvJt_damping_ = damping; | |
413 | } | ||
414 | |||
415 | } // namespace crocoddyl | ||
416 |