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|---|---|---|---|
| 1 | /////////////////////////////////////////////////////////////////////////////// | ||
| 2 | // BSD 3-Clause License | ||
| 3 | // | ||
| 4 | // Copyright (C) 2019-2025, LAAS-CNRS, Heriot-Watt University | ||
| 5 | // Copyright note valid unless otherwise stated in individual files. | ||
| 6 | // All rights reserved. | ||
| 7 | /////////////////////////////////////////////////////////////////////////////// | ||
| 8 | |||
| 9 | namespace crocoddyl { | ||
| 10 | |||
| 11 | template <typename Scalar> | ||
| 12 | ✗ | StateMultibodyTpl<Scalar>::StateMultibodyTpl( | |
| 13 | std::shared_ptr<PinocchioModel> model) | ||
| 14 | ✗ | : Base(model->nq + model->nv, 2 * model->nv), | |
| 15 | ✗ | pinocchio_(model), | |
| 16 | ✗ | x0_(VectorXs::Zero(model->nq + model->nv)) { | |
| 17 | ✗ | x0_.head(nq_) = pinocchio::neutral(*pinocchio_.get()); | |
| 18 | // In a multibody system, we could define the first joint using Lie groups. | ||
| 19 | // The current cases are free-flyer (SE3) and spherical (S03). | ||
| 20 | // Instead simple represents any joint that can model within the Euclidean | ||
| 21 | // manifold. The rest of joints use Euclidean algebra. We use this fact for | ||
| 22 | // computing Jdiff. | ||
| 23 | // Define internally the limits of the first joint | ||
| 24 | ✗ | const std::size_t nq0 = | |
| 25 | ✗ | model->existJointName("root_joint") | |
| 26 | ✗ | ? model->joints[model->getJointId("root_joint")].nq() | |
| 27 | : 0; | ||
| 28 | ✗ | lb_.head(nq0) = -std::numeric_limits<Scalar>::max() * VectorXs::Ones(nq0); | |
| 29 | ✗ | ub_.head(nq0) = std::numeric_limits<Scalar>::max() * VectorXs::Ones(nq0); | |
| 30 | ✗ | lb_.segment(nq0, nq_ - nq0) = pinocchio_->lowerPositionLimit.tail(nq_ - nq0); | |
| 31 | ✗ | ub_.segment(nq0, nq_ - nq0) = pinocchio_->upperPositionLimit.tail(nq_ - nq0); | |
| 32 | ✗ | lb_.tail(nv_) = -pinocchio_->velocityLimit; | |
| 33 | ✗ | ub_.tail(nv_) = pinocchio_->velocityLimit; | |
| 34 | ✗ | Base::update_has_limits(); | |
| 35 | ✗ | } | |
| 36 | |||
| 37 | template <typename Scalar> | ||
| 38 | ✗ | StateMultibodyTpl<Scalar>::StateMultibodyTpl() | |
| 39 | ✗ | : Base(), x0_(VectorXs::Zero(0)) {} | |
| 40 | |||
| 41 | template <typename Scalar> | ||
| 42 | ✗ | StateMultibodyTpl<Scalar>::~StateMultibodyTpl() {} | |
| 43 | |||
| 44 | template <typename Scalar> | ||
| 45 | ✗ | typename MathBaseTpl<Scalar>::VectorXs StateMultibodyTpl<Scalar>::zero() const { | |
| 46 | ✗ | return x0_; | |
| 47 | } | ||
| 48 | |||
| 49 | template <typename Scalar> | ||
| 50 | ✗ | typename MathBaseTpl<Scalar>::VectorXs StateMultibodyTpl<Scalar>::rand() const { | |
| 51 | ✗ | VectorXs xrand = VectorXs::Random(nx_); | |
| 52 | ✗ | xrand.head(nq_) = pinocchio::randomConfiguration(*pinocchio_.get()); | |
| 53 | ✗ | return xrand; | |
| 54 | ✗ | } | |
| 55 | |||
| 56 | template <typename Scalar> | ||
| 57 | ✗ | void StateMultibodyTpl<Scalar>::diff(const Eigen::Ref<const VectorXs>& x0, | |
| 58 | const Eigen::Ref<const VectorXs>& x1, | ||
| 59 | Eigen::Ref<VectorXs> dxout) const { | ||
| 60 | ✗ | if (static_cast<std::size_t>(x0.size()) != nx_) { | |
| 61 | ✗ | throw_pretty( | |
| 62 | "Invalid argument: " << "x0 has wrong dimension (it should be " + | ||
| 63 | std::to_string(nx_) + ")"); | ||
| 64 | } | ||
| 65 | ✗ | if (static_cast<std::size_t>(x1.size()) != nx_) { | |
| 66 | ✗ | throw_pretty( | |
| 67 | "Invalid argument: " << "x1 has wrong dimension (it should be " + | ||
| 68 | std::to_string(nx_) + ")"); | ||
| 69 | } | ||
| 70 | ✗ | if (static_cast<std::size_t>(dxout.size()) != ndx_) { | |
| 71 | ✗ | throw_pretty( | |
| 72 | "Invalid argument: " << "dxout has wrong dimension (it should be " + | ||
| 73 | std::to_string(ndx_) + ")"); | ||
| 74 | } | ||
| 75 | |||
| 76 | ✗ | pinocchio::difference(*pinocchio_.get(), x0.head(nq_), x1.head(nq_), | |
| 77 | ✗ | dxout.head(nv_)); | |
| 78 | ✗ | dxout.tail(nv_) = x1.tail(nv_) - x0.tail(nv_); | |
| 79 | ✗ | } | |
| 80 | |||
| 81 | template <typename Scalar> | ||
| 82 | ✗ | void StateMultibodyTpl<Scalar>::integrate(const Eigen::Ref<const VectorXs>& x, | |
| 83 | const Eigen::Ref<const VectorXs>& dx, | ||
| 84 | Eigen::Ref<VectorXs> xout) const { | ||
| 85 | ✗ | if (static_cast<std::size_t>(x.size()) != nx_) { | |
| 86 | ✗ | throw_pretty( | |
| 87 | "Invalid argument: " << "x has wrong dimension (it should be " + | ||
| 88 | std::to_string(nx_) + ")"); | ||
| 89 | } | ||
| 90 | ✗ | if (static_cast<std::size_t>(dx.size()) != ndx_) { | |
| 91 | ✗ | throw_pretty( | |
| 92 | "Invalid argument: " << "dx has wrong dimension (it should be " + | ||
| 93 | std::to_string(ndx_) + ")"); | ||
| 94 | } | ||
| 95 | ✗ | if (static_cast<std::size_t>(xout.size()) != nx_) { | |
| 96 | ✗ | throw_pretty( | |
| 97 | "Invalid argument: " << "xout has wrong dimension (it should be " + | ||
| 98 | std::to_string(nx_) + ")"); | ||
| 99 | } | ||
| 100 | |||
| 101 | ✗ | pinocchio::integrate(*pinocchio_.get(), x.head(nq_), dx.head(nv_), | |
| 102 | ✗ | xout.head(nq_)); | |
| 103 | ✗ | xout.tail(nv_) = x.tail(nv_) + dx.tail(nv_); | |
| 104 | ✗ | } | |
| 105 | |||
| 106 | template <typename Scalar> | ||
| 107 | ✗ | void StateMultibodyTpl<Scalar>::Jdiff(const Eigen::Ref<const VectorXs>& x0, | |
| 108 | const Eigen::Ref<const VectorXs>& x1, | ||
| 109 | Eigen::Ref<MatrixXs> Jfirst, | ||
| 110 | Eigen::Ref<MatrixXs> Jsecond, | ||
| 111 | const Jcomponent firstsecond) const { | ||
| 112 | ✗ | assert_pretty( | |
| 113 | is_a_Jcomponent(firstsecond), | ||
| 114 | ("firstsecond must be one of the Jcomponent {both, first, second}")); | ||
| 115 | ✗ | if (static_cast<std::size_t>(x0.size()) != nx_) { | |
| 116 | ✗ | throw_pretty( | |
| 117 | "Invalid argument: " << "x0 has wrong dimension (it should be " + | ||
| 118 | std::to_string(nx_) + ")"); | ||
| 119 | } | ||
| 120 | ✗ | if (static_cast<std::size_t>(x1.size()) != nx_) { | |
| 121 | ✗ | throw_pretty( | |
| 122 | "Invalid argument: " << "x1 has wrong dimension (it should be " + | ||
| 123 | std::to_string(nx_) + ")"); | ||
| 124 | } | ||
| 125 | |||
| 126 | ✗ | if (firstsecond == first) { | |
| 127 | ✗ | if (static_cast<std::size_t>(Jfirst.rows()) != ndx_ || | |
| 128 | ✗ | static_cast<std::size_t>(Jfirst.cols()) != ndx_) { | |
| 129 | ✗ | throw_pretty( | |
| 130 | "Invalid argument: " << "Jfirst has wrong dimension (it should be " + | ||
| 131 | std::to_string(ndx_) + "," + | ||
| 132 | std::to_string(ndx_) + ")"); | ||
| 133 | } | ||
| 134 | |||
| 135 | ✗ | pinocchio::dDifference(*pinocchio_.get(), x0.head(nq_), x1.head(nq_), | |
| 136 | ✗ | Jfirst.topLeftCorner(nv_, nv_), pinocchio::ARG0); | |
| 137 | ✗ | Jfirst.bottomRightCorner(nv_, nv_).diagonal().array() = (Scalar)-1; | |
| 138 | ✗ | } else if (firstsecond == second) { | |
| 139 | ✗ | if (static_cast<std::size_t>(Jsecond.rows()) != ndx_ || | |
| 140 | ✗ | static_cast<std::size_t>(Jsecond.cols()) != ndx_) { | |
| 141 | ✗ | throw_pretty( | |
| 142 | "Invalid argument: " << "Jsecond has wrong dimension (it should be " + | ||
| 143 | std::to_string(ndx_) + "," + | ||
| 144 | std::to_string(ndx_) + ")"); | ||
| 145 | } | ||
| 146 | ✗ | pinocchio::dDifference(*pinocchio_.get(), x0.head(nq_), x1.head(nq_), | |
| 147 | ✗ | Jsecond.topLeftCorner(nv_, nv_), pinocchio::ARG1); | |
| 148 | ✗ | Jsecond.bottomRightCorner(nv_, nv_).diagonal().array() = (Scalar)1; | |
| 149 | } else { // computing both | ||
| 150 | ✗ | if (static_cast<std::size_t>(Jfirst.rows()) != ndx_ || | |
| 151 | ✗ | static_cast<std::size_t>(Jfirst.cols()) != ndx_) { | |
| 152 | ✗ | throw_pretty( | |
| 153 | "Invalid argument: " << "Jfirst has wrong dimension (it should be " + | ||
| 154 | std::to_string(ndx_) + "," + | ||
| 155 | std::to_string(ndx_) + ")"); | ||
| 156 | } | ||
| 157 | ✗ | if (static_cast<std::size_t>(Jsecond.rows()) != ndx_ || | |
| 158 | ✗ | static_cast<std::size_t>(Jsecond.cols()) != ndx_) { | |
| 159 | ✗ | throw_pretty( | |
| 160 | "Invalid argument: " << "Jsecond has wrong dimension (it should be " + | ||
| 161 | std::to_string(ndx_) + "," + | ||
| 162 | std::to_string(ndx_) + ")"); | ||
| 163 | } | ||
| 164 | ✗ | pinocchio::dDifference(*pinocchio_.get(), x0.head(nq_), x1.head(nq_), | |
| 165 | ✗ | Jfirst.topLeftCorner(nv_, nv_), pinocchio::ARG0); | |
| 166 | ✗ | pinocchio::dDifference(*pinocchio_.get(), x0.head(nq_), x1.head(nq_), | |
| 167 | ✗ | Jsecond.topLeftCorner(nv_, nv_), pinocchio::ARG1); | |
| 168 | ✗ | Jfirst.bottomRightCorner(nv_, nv_).diagonal().array() = (Scalar)-1; | |
| 169 | ✗ | Jsecond.bottomRightCorner(nv_, nv_).diagonal().array() = (Scalar)1; | |
| 170 | } | ||
| 171 | ✗ | } | |
| 172 | |||
| 173 | template <typename Scalar> | ||
| 174 | ✗ | void StateMultibodyTpl<Scalar>::Jintegrate(const Eigen::Ref<const VectorXs>& x, | |
| 175 | const Eigen::Ref<const VectorXs>& dx, | ||
| 176 | Eigen::Ref<MatrixXs> Jfirst, | ||
| 177 | Eigen::Ref<MatrixXs> Jsecond, | ||
| 178 | const Jcomponent firstsecond, | ||
| 179 | const AssignmentOp op) const { | ||
| 180 | ✗ | assert_pretty( | |
| 181 | is_a_Jcomponent(firstsecond), | ||
| 182 | ("firstsecond must be one of the Jcomponent {both, first, second}")); | ||
| 183 | ✗ | assert_pretty(is_a_AssignmentOp(op), | |
| 184 | ("op must be one of the AssignmentOp {settop, addto, rmfrom}")); | ||
| 185 | ✗ | if (firstsecond == first || firstsecond == both) { | |
| 186 | ✗ | if (static_cast<std::size_t>(Jfirst.rows()) != ndx_ || | |
| 187 | ✗ | static_cast<std::size_t>(Jfirst.cols()) != ndx_) { | |
| 188 | ✗ | throw_pretty( | |
| 189 | "Invalid argument: " << "Jfirst has wrong dimension (it should be " + | ||
| 190 | std::to_string(ndx_) + "," + | ||
| 191 | std::to_string(ndx_) + ")"); | ||
| 192 | } | ||
| 193 | ✗ | switch (op) { | |
| 194 | ✗ | case setto: | |
| 195 | ✗ | pinocchio::dIntegrate(*pinocchio_.get(), x.head(nq_), dx.head(nv_), | |
| 196 | ✗ | Jfirst.topLeftCorner(nv_, nv_), pinocchio::ARG0, | |
| 197 | pinocchio::SETTO); | ||
| 198 | ✗ | Jfirst.bottomRightCorner(nv_, nv_).diagonal().array() = (Scalar)1; | |
| 199 | ✗ | break; | |
| 200 | ✗ | case addto: | |
| 201 | ✗ | pinocchio::dIntegrate(*pinocchio_.get(), x.head(nq_), dx.head(nv_), | |
| 202 | ✗ | Jfirst.topLeftCorner(nv_, nv_), pinocchio::ARG0, | |
| 203 | pinocchio::ADDTO); | ||
| 204 | ✗ | Jfirst.bottomRightCorner(nv_, nv_).diagonal().array() += (Scalar)1; | |
| 205 | ✗ | break; | |
| 206 | ✗ | case rmfrom: | |
| 207 | ✗ | pinocchio::dIntegrate(*pinocchio_.get(), x.head(nq_), dx.head(nv_), | |
| 208 | ✗ | Jfirst.topLeftCorner(nv_, nv_), pinocchio::ARG0, | |
| 209 | pinocchio::RMTO); | ||
| 210 | ✗ | Jfirst.bottomRightCorner(nv_, nv_).diagonal().array() -= (Scalar)1; | |
| 211 | ✗ | break; | |
| 212 | ✗ | default: | |
| 213 | ✗ | throw_pretty( | |
| 214 | "Invalid argument: allowed operators: setto, addto, rmfrom"); | ||
| 215 | break; | ||
| 216 | } | ||
| 217 | } | ||
| 218 | ✗ | if (firstsecond == second || firstsecond == both) { | |
| 219 | ✗ | if (static_cast<std::size_t>(Jsecond.rows()) != ndx_ || | |
| 220 | ✗ | static_cast<std::size_t>(Jsecond.cols()) != ndx_) { | |
| 221 | ✗ | throw_pretty( | |
| 222 | "Invalid argument: " << "Jsecond has wrong dimension (it should be " + | ||
| 223 | std::to_string(ndx_) + "," + | ||
| 224 | std::to_string(ndx_) + ")"); | ||
| 225 | } | ||
| 226 | ✗ | switch (op) { | |
| 227 | ✗ | case setto: | |
| 228 | ✗ | pinocchio::dIntegrate(*pinocchio_.get(), x.head(nq_), dx.head(nv_), | |
| 229 | ✗ | Jsecond.topLeftCorner(nv_, nv_), pinocchio::ARG1, | |
| 230 | pinocchio::SETTO); | ||
| 231 | ✗ | Jsecond.bottomRightCorner(nv_, nv_).diagonal().array() = (Scalar)1; | |
| 232 | ✗ | break; | |
| 233 | ✗ | case addto: | |
| 234 | ✗ | pinocchio::dIntegrate(*pinocchio_.get(), x.head(nq_), dx.head(nv_), | |
| 235 | ✗ | Jsecond.topLeftCorner(nv_, nv_), pinocchio::ARG1, | |
| 236 | pinocchio::ADDTO); | ||
| 237 | ✗ | Jsecond.bottomRightCorner(nv_, nv_).diagonal().array() += (Scalar)1; | |
| 238 | ✗ | break; | |
| 239 | ✗ | case rmfrom: | |
| 240 | ✗ | pinocchio::dIntegrate(*pinocchio_.get(), x.head(nq_), dx.head(nv_), | |
| 241 | ✗ | Jsecond.topLeftCorner(nv_, nv_), pinocchio::ARG1, | |
| 242 | pinocchio::RMTO); | ||
| 243 | ✗ | Jsecond.bottomRightCorner(nv_, nv_).diagonal().array() -= (Scalar)1; | |
| 244 | ✗ | break; | |
| 245 | ✗ | default: | |
| 246 | ✗ | throw_pretty( | |
| 247 | "Invalid argument: allowed operators: setto, addto, rmfrom"); | ||
| 248 | break; | ||
| 249 | } | ||
| 250 | } | ||
| 251 | ✗ | } | |
| 252 | |||
| 253 | template <typename Scalar> | ||
| 254 | ✗ | void StateMultibodyTpl<Scalar>::JintegrateTransport( | |
| 255 | const Eigen::Ref<const VectorXs>& x, const Eigen::Ref<const VectorXs>& dx, | ||
| 256 | Eigen::Ref<MatrixXs> Jin, const Jcomponent firstsecond) const { | ||
| 257 | ✗ | assert_pretty( | |
| 258 | is_a_Jcomponent(firstsecond), | ||
| 259 | ("firstsecond must be one of the Jcomponent {both, first, second}")); | ||
| 260 | |||
| 261 | ✗ | switch (firstsecond) { | |
| 262 | ✗ | case first: | |
| 263 | ✗ | pinocchio::dIntegrateTransport(*pinocchio_.get(), x.head(nq_), | |
| 264 | ✗ | dx.head(nv_), Jin.topRows(nv_), | |
| 265 | pinocchio::ARG0); | ||
| 266 | ✗ | break; | |
| 267 | ✗ | case second: | |
| 268 | ✗ | pinocchio::dIntegrateTransport(*pinocchio_.get(), x.head(nq_), | |
| 269 | ✗ | dx.head(nv_), Jin.topRows(nv_), | |
| 270 | pinocchio::ARG1); | ||
| 271 | ✗ | break; | |
| 272 | ✗ | default: | |
| 273 | ✗ | throw_pretty( | |
| 274 | "Invalid argument: firstsecond must be either first or second. both " | ||
| 275 | "not supported for this operation."); | ||
| 276 | break; | ||
| 277 | } | ||
| 278 | ✗ | } | |
| 279 | |||
| 280 | template <typename Scalar> | ||
| 281 | const std::shared_ptr<pinocchio::ModelTpl<Scalar> >& | ||
| 282 | ✗ | StateMultibodyTpl<Scalar>::get_pinocchio() const { | |
| 283 | ✗ | return pinocchio_; | |
| 284 | } | ||
| 285 | |||
| 286 | template <typename Scalar> | ||
| 287 | template <typename NewScalar> | ||
| 288 | ✗ | StateMultibodyTpl<NewScalar> StateMultibodyTpl<Scalar>::cast() const { | |
| 289 | typedef StateMultibodyTpl<NewScalar> ReturnType; | ||
| 290 | typedef pinocchio::ModelTpl<NewScalar> ModelType; | ||
| 291 | ✗ | ReturnType res( | |
| 292 | ✗ | std::make_shared<ModelType>(pinocchio_->template cast<NewScalar>())); | |
| 293 | ✗ | return res; | |
| 294 | } | ||
| 295 | |||
| 296 | template <typename Scalar> | ||
| 297 | ✗ | void StateMultibodyTpl<Scalar>::print(std::ostream& os) const { | |
| 298 | ✗ | os << "StateMultibody {nx=" << nx_ << ", ndx=" << ndx_ | |
| 299 | ✗ | << ", pinocchio=" << *pinocchio_.get() << "}"; | |
| 300 | ✗ | } | |
| 301 | |||
| 302 | } // namespace crocoddyl | ||
| 303 |