| Directory: | ./ |
|---|---|
| File: | include/pinocchio/algorithm/aba-derivatives.hxx |
| Date: | 2025-02-12 21:03:38 |
| Exec | Total | Coverage | |
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| Lines: | 347 | 353 | 98.3% |
| Branches: | 590 | 1578 | 37.4% |
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| 1 | // | ||
| 2 | // Copyright (c) 2018-2021 CNRS INRIA | ||
| 3 | // | ||
| 4 | |||
| 5 | #ifndef __pinocchio_algorithm_aba_derivatives_hxx__ | ||
| 6 | #define __pinocchio_algorithm_aba_derivatives_hxx__ | ||
| 7 | |||
| 8 | #include "pinocchio/multibody/visitor.hpp" | ||
| 9 | #include "pinocchio/algorithm/check.hpp" | ||
| 10 | #include "pinocchio/algorithm/aba.hpp" | ||
| 11 | |||
| 12 | namespace pinocchio | ||
| 13 | { | ||
| 14 | namespace impl | ||
| 15 | { | ||
| 16 | template< | ||
| 17 | typename Scalar, | ||
| 18 | int Options, | ||
| 19 | template<typename, int> class JointCollectionTpl, | ||
| 20 | typename ConfigVectorType, | ||
| 21 | typename TangentVectorType> | ||
| 22 | struct ComputeABADerivativesForwardStep1 | ||
| 23 | : public fusion::JointUnaryVisitorBase<ComputeABADerivativesForwardStep1< | ||
| 24 | Scalar, | ||
| 25 | Options, | ||
| 26 | JointCollectionTpl, | ||
| 27 | ConfigVectorType, | ||
| 28 | TangentVectorType>> | ||
| 29 | { | ||
| 30 | typedef ModelTpl<Scalar, Options, JointCollectionTpl> Model; | ||
| 31 | typedef DataTpl<Scalar, Options, JointCollectionTpl> Data; | ||
| 32 | |||
| 33 | typedef boost::fusion:: | ||
| 34 | vector<const Model &, Data &, const ConfigVectorType &, const TangentVectorType &> | ||
| 35 | ArgsType; | ||
| 36 | |||
| 37 | template<typename JointModel> | ||
| 38 | 1956 | static void algo( | |
| 39 | const JointModelBase<JointModel> & jmodel, | ||
| 40 | JointDataBase<typename JointModel::JointDataDerived> & jdata, | ||
| 41 | const Model & model, | ||
| 42 | Data & data, | ||
| 43 | const Eigen::MatrixBase<ConfigVectorType> & q, | ||
| 44 | const Eigen::MatrixBase<TangentVectorType> & v) | ||
| 45 | { | ||
| 46 | typedef typename Model::JointIndex JointIndex; | ||
| 47 | |||
| 48 |
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1956 | const JointIndex i = jmodel.id(); |
| 49 | 1956 | const JointIndex parent = model.parents[i]; | |
| 50 | 1956 | typename Data::Motion & ov = data.ov[i]; | |
| 51 | |||
| 52 |
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1956 | jmodel.calc(jdata.derived(), q.derived(), v.derived()); |
| 53 | |||
| 54 |
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1956 | data.liMi[i] = model.jointPlacements[i] * jdata.M(); |
| 55 |
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1956 | if (parent > 0) |
| 56 |
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1882 | data.oMi[i] = data.oMi[parent] * data.liMi[i]; |
| 57 | else | ||
| 58 |
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74 | data.oMi[i] = data.liMi[i]; |
| 59 | |||
| 60 |
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1956 | ov = data.oMi[i].act(jdata.v()); |
| 61 |
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1956 | if (parent > 0) |
| 62 |
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1882 | ov += data.ov[parent]; |
| 63 | |||
| 64 |
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1956 | data.oa_gf[i] = data.oMi[i].act(jdata.c()); |
| 65 |
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1956 | if (parent > 0) |
| 66 |
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1882 | data.oa_gf[i] += (data.ov[parent] ^ ov); |
| 67 | |||
| 68 |
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1956 | data.oYcrb[i] = data.oinertias[i] = data.oMi[i].act(model.inertias[i]); |
| 69 |
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1956 | data.oYaba[i] = data.oYcrb[i].matrix(); |
| 70 | |||
| 71 |
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1956 | data.oh[i] = data.oYcrb[i] * ov; |
| 72 |
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1956 | data.of[i] = ov.cross(data.oh[i]); |
| 73 | |||
| 74 | typedef | ||
| 75 | typename SizeDepType<JointModel::NV>::template ColsReturn<typename Data::Matrix6x>::Type | ||
| 76 | ColsBlock; | ||
| 77 |
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1956 | ColsBlock J_cols = jmodel.jointCols(data.J); |
| 78 |
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1956 | J_cols = data.oMi[i].act(jdata.S()); |
| 79 | } | ||
| 80 | }; | ||
| 81 | |||
| 82 | template< | ||
| 83 | typename Scalar, | ||
| 84 | int Options, | ||
| 85 | template<typename, int> class JointCollectionTpl, | ||
| 86 | typename MatrixType> | ||
| 87 | struct ComputeABADerivativesBackwardStep1 | ||
| 88 | : public fusion::JointUnaryVisitorBase< | ||
| 89 | ComputeABADerivativesBackwardStep1<Scalar, Options, JointCollectionTpl, MatrixType>> | ||
| 90 | { | ||
| 91 | typedef ModelTpl<Scalar, Options, JointCollectionTpl> Model; | ||
| 92 | typedef DataTpl<Scalar, Options, JointCollectionTpl> Data; | ||
| 93 | |||
| 94 | typedef boost::fusion::vector<const Model &, Data &, MatrixType &> ArgsType; | ||
| 95 | |||
| 96 | template<typename JointModel> | ||
| 97 | 1956 | static void algo( | |
| 98 | const JointModelBase<JointModel> & jmodel, | ||
| 99 | JointDataBase<typename JointModel::JointDataDerived> & jdata, | ||
| 100 | const Model & model, | ||
| 101 | Data & data, | ||
| 102 | const Eigen::MatrixBase<MatrixType> & Minv) | ||
| 103 | { | ||
| 104 | typedef typename Model::JointIndex JointIndex; | ||
| 105 | typedef typename Data::Inertia Inertia; | ||
| 106 | typedef typename Data::Force Force; | ||
| 107 | typedef typename Data::Matrix6x Matrix6x; | ||
| 108 | |||
| 109 |
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1956 | const JointIndex i = jmodel.id(); |
| 110 | 1956 | const JointIndex parent = model.parents[i]; | |
| 111 | |||
| 112 | 1956 | typename Inertia::Matrix6 & Ia = data.oYaba[i]; | |
| 113 | |||
| 114 | 1956 | Matrix6x & Fcrb = data.Fcrb[0]; | |
| 115 | |||
| 116 | typedef | ||
| 117 | typename SizeDepType<JointModel::NV>::template ColsReturn<typename Data::Matrix6x>::Type | ||
| 118 | ColsBlock; | ||
| 119 | 1956 | Force & fi = data.of[i]; | |
| 120 | |||
| 121 | typedef typename SizeDepType<JointModel::NV>::template ColsReturn<Matrix6x>::Type ColBlock; | ||
| 122 |
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1956 | const ColBlock J_cols = jmodel.jointCols(data.J); |
| 123 | |||
| 124 |
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1956 | jmodel.jointVelocitySelector(data.u).noalias() -= J_cols.transpose() * fi.toVector(); |
| 125 | |||
| 126 |
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1956 | jdata.U().noalias() = Ia * J_cols; |
| 127 |
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1956 | jdata.StU().noalias() = J_cols.transpose() * jdata.U(); |
| 128 | |||
| 129 |
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1956 | jdata.StU().diagonal() += jmodel.jointVelocitySelector(model.armature); |
| 130 | |||
| 131 |
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1956 | ::pinocchio::internal::PerformStYSInversion<Scalar>::run(jdata.StU(), jdata.Dinv()); |
| 132 |
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1956 | jdata.UDinv().noalias() = jdata.U() * jdata.Dinv(); |
| 133 | |||
| 134 | 1956 | MatrixType & Minv_ = PINOCCHIO_EIGEN_CONST_CAST(MatrixType, Minv); | |
| 135 | |||
| 136 |
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1956 | Minv_.block(jmodel.idx_v(), jmodel.idx_v(), jmodel.nv(), jmodel.nv()) = jdata.Dinv(); |
| 137 |
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1956 | const int nv_children = data.nvSubtree[i] - jmodel.nv(); |
| 138 |
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1956 | if (nv_children > 0) |
| 139 | { | ||
| 140 |
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1666 | ColsBlock SDinv_cols = jmodel.jointCols(data.SDinv); |
| 141 |
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1666 | SDinv_cols.noalias() = J_cols * jdata.Dinv(); |
| 142 | |||
| 143 |
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1666 | Minv_.block(jmodel.idx_v(), jmodel.idx_v() + jmodel.nv(), jmodel.nv(), nv_children) |
| 144 |
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3332 | .noalias() = |
| 145 |
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1666 | -SDinv_cols.transpose() * Fcrb.middleCols(jmodel.idx_v() + jmodel.nv(), nv_children); |
| 146 | |||
| 147 |
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1666 | if (parent > 0) |
| 148 | { | ||
| 149 |
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1592 | Fcrb.middleCols(jmodel.idx_v(), data.nvSubtree[i]).noalias() += |
| 150 |
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1592 | jdata.U() |
| 151 |
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4776 | * Minv_.block(jmodel.idx_v(), jmodel.idx_v(), jmodel.nv(), data.nvSubtree[i]); |
| 152 | ; | ||
| 153 | } | ||
| 154 | } | ||
| 155 | else // This a leaf of the kinematic tree | ||
| 156 | { | ||
| 157 |
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290 | Fcrb.middleCols(jmodel.idx_v(), data.nvSubtree[i]).noalias() = |
| 158 |
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580 | jdata.U() * Minv_.block(jmodel.idx_v(), jmodel.idx_v(), jmodel.nv(), data.nvSubtree[i]); |
| 159 | } | ||
| 160 | |||
| 161 |
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1956 | if (parent > 0) |
| 162 | { | ||
| 163 |
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1882 | Ia.noalias() -= jdata.UDinv() * jdata.U().transpose(); |
| 164 | |||
| 165 |
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1882 | fi.toVector().noalias() += |
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1882 | Ia * data.oa_gf[i].toVector() + jdata.UDinv() * jmodel.jointVelocitySelector(data.u); |
| 167 |
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1882 | data.oYaba[parent] += Ia; |
| 168 |
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1882 | data.of[parent] += fi; |
| 169 | } | ||
| 170 | } | ||
| 171 | }; | ||
| 172 | |||
| 173 | template< | ||
| 174 | typename Scalar, | ||
| 175 | int Options, | ||
| 176 | template<typename, int> class JointCollectionTpl, | ||
| 177 | typename MatrixType> | ||
| 178 | struct ComputeABADerivativesForwardStep2 | ||
| 179 | : public fusion::JointUnaryVisitorBase< | ||
| 180 | ComputeABADerivativesForwardStep2<Scalar, Options, JointCollectionTpl, MatrixType>> | ||
| 181 | { | ||
| 182 | typedef ModelTpl<Scalar, Options, JointCollectionTpl> Model; | ||
| 183 | typedef DataTpl<Scalar, Options, JointCollectionTpl> Data; | ||
| 184 | |||
| 185 | typedef boost::fusion::vector<const Model &, Data &, MatrixType &> ArgsType; | ||
| 186 | |||
| 187 | template<typename JointModel> | ||
| 188 | 1956 | static void algo( | |
| 189 | const JointModelBase<JointModel> & jmodel, | ||
| 190 | JointDataBase<typename JointModel::JointDataDerived> & jdata, | ||
| 191 | const Model & model, | ||
| 192 | Data & data, | ||
| 193 | MatrixType & Minv) | ||
| 194 | { | ||
| 195 | typedef typename Model::JointIndex JointIndex; | ||
| 196 | typedef typename Data::Matrix6x Matrix6x; | ||
| 197 | |||
| 198 |
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1956 | const JointIndex i = jmodel.id(); |
| 199 | 1956 | const JointIndex parent = model.parents[i]; | |
| 200 | |||
| 201 | 1956 | typename Data::Motion & ov = data.ov[i]; | |
| 202 | 1956 | typename Data::Motion & oa = data.oa[i]; | |
| 203 | 1956 | typename Data::Force & of = data.of[i]; | |
| 204 | 1956 | typename Data::Motion & oa_gf = data.oa_gf[i]; | |
| 205 | |||
| 206 | typedef typename SizeDepType<JointModel::NV>::template ColsReturn<Matrix6x>::Type ColsBlock; | ||
| 207 |
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1956 | ColsBlock J_cols = jmodel.jointCols(data.J); |
| 208 | |||
| 209 |
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1956 | oa_gf += data.oa_gf[parent]; |
| 210 |
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1956 | jmodel.jointVelocitySelector(data.ddq).noalias() = |
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1956 | jdata.Dinv() * jmodel.jointVelocitySelector(data.u) |
| 212 |
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1956 | - jdata.UDinv().transpose() * oa_gf.toVector(); |
| 213 | |||
| 214 |
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1956 | oa_gf.toVector().noalias() += J_cols * jmodel.jointVelocitySelector(data.ddq); |
| 215 |
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1956 | oa = oa_gf + model.gravity; |
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1956 | of = data.oYcrb[i] * oa_gf + ov.cross(data.oh[i]); |
| 217 | |||
| 218 | 1956 | MatrixType & Minv_ = PINOCCHIO_EIGEN_CONST_CAST(MatrixType, Minv); | |
| 219 | |||
| 220 |
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1956 | if (parent > 0) |
| 221 | { | ||
| 222 |
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1882 | Minv_.middleRows(jmodel.idx_v(), jmodel.nv()) |
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1882 | .rightCols(model.nv - jmodel.idx_v()) |
| 224 |
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1882 | .noalias() -= |
| 225 |
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3764 | jdata.UDinv().transpose() * data.Fcrb[parent].rightCols(model.nv - jmodel.idx_v()); |
| 226 | ; | ||
| 227 | } | ||
| 228 | |||
| 229 |
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1956 | data.Fcrb[i].rightCols(model.nv - jmodel.idx_v()).noalias() = |
| 230 | J_cols | ||
| 231 |
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1956 | * Minv_.middleRows(jmodel.idx_v(), jmodel.nv()).rightCols(model.nv - jmodel.idx_v()); |
| 232 |
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1956 | if (parent > 0) |
| 233 |
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1882 | data.Fcrb[i].rightCols(model.nv - jmodel.idx_v()) += |
| 234 |
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3764 | data.Fcrb[parent].rightCols(model.nv - jmodel.idx_v()); |
| 235 | |||
| 236 |
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1956 | ColsBlock dJ_cols = jmodel.jointCols(data.dJ); |
| 237 |
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1956 | ColsBlock dVdq_cols = jmodel.jointCols(data.dVdq); |
| 238 |
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1956 | ColsBlock dAdq_cols = jmodel.jointCols(data.dAdq); |
| 239 |
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1956 | ColsBlock dAdv_cols = jmodel.jointCols(data.dAdv); |
| 240 | |||
| 241 |
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1956 | motionSet::motionAction(ov, J_cols, dJ_cols); |
| 242 |
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1956 | motionSet::motionAction(data.oa_gf[parent], J_cols, dAdq_cols); |
| 243 |
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1956 | dAdv_cols = dJ_cols; |
| 244 |
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1956 | if (parent > 0) |
| 245 | { | ||
| 246 |
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1882 | motionSet::motionAction(data.ov[parent], J_cols, dVdq_cols); |
| 247 |
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1882 | motionSet::motionAction<ADDTO>(data.ov[parent], dVdq_cols, dAdq_cols); |
| 248 |
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1882 | dAdv_cols += dVdq_cols; |
| 249 | } | ||
| 250 | else | ||
| 251 |
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74 | dVdq_cols.setZero(); |
| 252 | |||
| 253 | // computes variation of inertias | ||
| 254 |
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1956 | data.doYcrb[i] = data.oYcrb[i].variation(ov); |
| 255 |
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1956 | addForceCrossMatrix(data.oh[i], data.doYcrb[i]); |
| 256 | } | ||
| 257 | |||
| 258 | template<typename ForceDerived, typename M6> | ||
| 259 | static void | ||
| 260 | 4224 | addForceCrossMatrix(const ForceDense<ForceDerived> & f, const Eigen::MatrixBase<M6> & mout) | |
| 261 | { | ||
| 262 | 4224 | M6 & mout_ = PINOCCHIO_EIGEN_CONST_CAST(M6, mout); | |
| 263 |
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4224 | addSkew( |
| 264 |
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4224 | -f.linear(), mout_.template block<3, 3>(ForceDerived::LINEAR, ForceDerived::ANGULAR)); |
| 265 |
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4224 | addSkew( |
| 266 |
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4224 | -f.linear(), mout_.template block<3, 3>(ForceDerived::ANGULAR, ForceDerived::LINEAR)); |
| 267 |
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4224 | addSkew( |
| 268 |
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4224 | -f.angular(), mout_.template block<3, 3>(ForceDerived::ANGULAR, ForceDerived::ANGULAR)); |
| 269 | 4224 | } | |
| 270 | }; | ||
| 271 | |||
| 272 | template<typename Scalar, int Options, template<typename, int> class JointCollectionTpl> | ||
| 273 | struct ComputeABADerivativesBackwardStep2 | ||
| 274 | : public fusion::JointUnaryVisitorBase< | ||
| 275 | ComputeABADerivativesBackwardStep2<Scalar, Options, JointCollectionTpl>> | ||
| 276 | { | ||
| 277 | typedef ModelTpl<Scalar, Options, JointCollectionTpl> Model; | ||
| 278 | typedef DataTpl<Scalar, Options, JointCollectionTpl> Data; | ||
| 279 | |||
| 280 | typedef boost::fusion::vector<const Model &, Data &> ArgsType; | ||
| 281 | |||
| 282 | template<typename JointModel> | ||
| 283 | 4224 | static void algo(const JointModelBase<JointModel> & jmodel, const Model & model, Data & data) | |
| 284 | { | ||
| 285 | typedef typename Model::JointIndex JointIndex; | ||
| 286 | typedef Eigen::Matrix< | ||
| 287 | Scalar, JointModel::NV, 6, Options, JointModel::NV == Eigen::Dynamic ? 6 : JointModel::NV, | ||
| 288 | 6> | ||
| 289 | MatrixNV6; | ||
| 290 | |||
| 291 |
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4224 | const JointIndex i = jmodel.id(); |
| 292 | 4224 | const JointIndex parent = model.parents[i]; | |
| 293 | |||
| 294 |
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4224 | typename PINOCCHIO_EIGEN_PLAIN_ROW_MAJOR_TYPE(MatrixNV6) StdY(jmodel.nv(), 6); |
| 295 | |||
| 296 | 4224 | typename Data::RowMatrixXs & rnea_partial_dq = data.dtau_dq; | |
| 297 | 4224 | typename Data::RowMatrixXs & rnea_partial_dv = data.dtau_dv; | |
| 298 | |||
| 299 | // typename Data::MatrixXs & rnea_partial_dq = data.dtau_dq; | ||
| 300 | // typename Data::MatrixXs & rnea_partial_dv = data.dtau_dv; | ||
| 301 | |||
| 302 | typedef | ||
| 303 | typename SizeDepType<JointModel::NV>::template ColsReturn<typename Data::Matrix6x>::Type | ||
| 304 | ColsBlock; | ||
| 305 | |||
| 306 |
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4224 | ColsBlock J_cols = jmodel.jointCols(data.J); |
| 307 |
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4224 | ColsBlock dVdq_cols = jmodel.jointCols(data.dVdq); |
| 308 |
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4224 | ColsBlock dAdq_cols = jmodel.jointCols(data.dAdq); |
| 309 |
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4224 | ColsBlock dAdv_cols = jmodel.jointCols(data.dAdv); |
| 310 |
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4224 | ColsBlock dFdq_cols = jmodel.jointCols(data.dFdq); |
| 311 |
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4224 | ColsBlock dFdv_cols = jmodel.jointCols(data.dFdv); |
| 312 |
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4224 | ColsBlock dFda_cols = jmodel.jointCols(data.dFda); |
| 313 | |||
| 314 | // dtau/dv | ||
| 315 |
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4224 | motionSet::inertiaAction(data.oYcrb[i], dAdv_cols, dFdv_cols); |
| 316 |
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4224 | dFdv_cols.noalias() += data.doYcrb[i] * J_cols; |
| 317 | |||
| 318 |
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4224 | rnea_partial_dv.block(jmodel.idx_v(), jmodel.idx_v(), jmodel.nv(), data.nvSubtree[i]) |
| 319 |
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8448 | .noalias() = J_cols.transpose() * data.dFdv.middleCols(jmodel.idx_v(), data.nvSubtree[i]); |
| 320 | |||
| 321 | // dtau/dq | ||
| 322 |
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4224 | motionSet::inertiaAction(data.oYcrb[i], dAdq_cols, dFdq_cols); |
| 323 |
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4224 | if (parent > 0) |
| 324 |
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4066 | dFdq_cols += data.doYcrb[i] * dVdq_cols; |
| 325 | |||
| 326 |
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4224 | rnea_partial_dq.block(jmodel.idx_v(), jmodel.idx_v(), jmodel.nv(), data.nvSubtree[i]) |
| 327 |
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8448 | .noalias() = J_cols.transpose() * data.dFdq.middleCols(jmodel.idx_v(), data.nvSubtree[i]); |
| 328 | |||
| 329 |
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4224 | motionSet::act<ADDTO>(J_cols, data.of[i], dFdq_cols); |
| 330 | |||
| 331 |
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4224 | motionSet::inertiaAction(data.oYcrb[i], J_cols, dFda_cols); |
| 332 |
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4224 | if (parent > 0) |
| 333 | { | ||
| 334 |
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41692 | for (int j = data.parents_fromRow[(JointIndex)jmodel.idx_v()]; j >= 0; |
| 335 | 37626 | j = data.parents_fromRow[(JointIndex)j]) | |
| 336 |
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37626 | rnea_partial_dq.middleRows(jmodel.idx_v(), jmodel.nv()).col(j).noalias() = |
| 337 |
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75252 | dFda_cols.transpose() * data.dAdq.col(j); |
| 338 |
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41692 | for (int j = data.parents_fromRow[(JointIndex)jmodel.idx_v()]; j >= 0; |
| 339 | 37626 | j = data.parents_fromRow[(JointIndex)j]) | |
| 340 |
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37626 | rnea_partial_dv.middleRows(jmodel.idx_v(), jmodel.nv()).col(j).noalias() = |
| 341 |
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75252 | dFda_cols.transpose() * data.dAdv.col(j); |
| 342 | |||
| 343 |
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4066 | StdY.noalias() = J_cols.transpose() * data.doYcrb[i]; |
| 344 |
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41692 | for (int j = data.parents_fromRow[(JointIndex)jmodel.idx_v()]; j >= 0; |
| 345 | 37626 | j = data.parents_fromRow[(JointIndex)j]) | |
| 346 |
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37626 | rnea_partial_dq.middleRows(jmodel.idx_v(), jmodel.nv()).col(j) += |
| 347 |
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75252 | StdY * data.dVdq.col(j); |
| 348 |
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41692 | for (int j = data.parents_fromRow[(JointIndex)jmodel.idx_v()]; j >= 0; |
| 349 | 37626 | j = data.parents_fromRow[(JointIndex)j]) | |
| 350 |
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37626 | rnea_partial_dv.middleRows(jmodel.idx_v(), jmodel.nv()).col(j) += StdY * data.J.col(j); |
| 351 | } | ||
| 352 | |||
| 353 |
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4224 | if (parent > 0) |
| 354 | { | ||
| 355 |
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4066 | data.oYcrb[parent] += data.oYcrb[i]; |
| 356 |
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4066 | data.doYcrb[parent] += data.doYcrb[i]; |
| 357 |
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4066 | data.of[parent] += data.of[i]; |
| 358 | } | ||
| 359 | |||
| 360 | // Restore the status of dAdq_cols (remove gravity) | ||
| 361 |
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9228 | for (Eigen::DenseIndex k = 0; k < jmodel.nv(); ++k) |
| 362 | { | ||
| 363 |
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5004 | MotionRef<typename ColsBlock::ColXpr> m_in(J_cols.col(k)); |
| 364 |
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5004 | MotionRef<typename ColsBlock::ColXpr> m_out(dAdq_cols.col(k)); |
| 365 |
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5004 | m_out.linear() += model.gravity.linear().cross(m_in.angular()); |
| 366 | } | ||
| 367 | } | ||
| 368 | }; | ||
| 369 | |||
| 370 | template< | ||
| 371 | typename Scalar, | ||
| 372 | int Options, | ||
| 373 | template<typename, int> class JointCollectionTpl, | ||
| 374 | typename ConfigVectorType, | ||
| 375 | typename TangentVectorType1, | ||
| 376 | typename TangentVectorType2, | ||
| 377 | typename MatrixType1, | ||
| 378 | typename MatrixType2, | ||
| 379 | typename MatrixType3> | ||
| 380 | 64 | void computeABADerivatives( | |
| 381 | const ModelTpl<Scalar, Options, JointCollectionTpl> & model, | ||
| 382 | DataTpl<Scalar, Options, JointCollectionTpl> & data, | ||
| 383 | const Eigen::MatrixBase<ConfigVectorType> & q, | ||
| 384 | const Eigen::MatrixBase<TangentVectorType1> & v, | ||
| 385 | const Eigen::MatrixBase<TangentVectorType2> & tau, | ||
| 386 | const Eigen::MatrixBase<MatrixType1> & aba_partial_dq, | ||
| 387 | const Eigen::MatrixBase<MatrixType2> & aba_partial_dv, | ||
| 388 | const Eigen::MatrixBase<MatrixType3> & aba_partial_dtau) | ||
| 389 | { | ||
| 390 |
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64 | PINOCCHIO_CHECK_ARGUMENT_SIZE( |
| 391 | q.size(), model.nq, "The joint configuration vector is not of right size"); | ||
| 392 |
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64 | PINOCCHIO_CHECK_ARGUMENT_SIZE( |
| 393 | v.size(), model.nv, "The joint velocity vector is not of right size"); | ||
| 394 |
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64 | PINOCCHIO_CHECK_ARGUMENT_SIZE( |
| 395 | tau.size(), model.nv, "The joint torque vector is not of right size"); | ||
| 396 |
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64 | PINOCCHIO_CHECK_ARGUMENT_SIZE(aba_partial_dq.cols(), model.nv); |
| 397 |
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64 | PINOCCHIO_CHECK_ARGUMENT_SIZE(aba_partial_dq.rows(), model.nv); |
| 398 |
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64 | PINOCCHIO_CHECK_ARGUMENT_SIZE(aba_partial_dv.cols(), model.nv); |
| 399 |
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64 | PINOCCHIO_CHECK_ARGUMENT_SIZE(aba_partial_dv.rows(), model.nv); |
| 400 |
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64 | PINOCCHIO_CHECK_ARGUMENT_SIZE(aba_partial_dtau.cols(), model.nv); |
| 401 |
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64 | PINOCCHIO_CHECK_ARGUMENT_SIZE(aba_partial_dtau.rows(), model.nv); |
| 402 |
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64 | PINOCCHIO_CHECK_INPUT_ARGUMENT( |
| 403 | isZero(model.gravity.angular()), | ||
| 404 | "The gravity must be a pure force vector, no angular part"); | ||
| 405 |
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64 | assert(model.check(data) && "data is not consistent with model."); |
| 406 | |||
| 407 | typedef typename ModelTpl<Scalar, Options, JointCollectionTpl>::JointIndex JointIndex; | ||
| 408 | |||
| 409 |
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64 | data.oa_gf[0] = -model.gravity; |
| 410 | 64 | data.u = tau; | |
| 411 | |||
| 412 | 64 | MatrixType3 & Minv_ = PINOCCHIO_EIGEN_CONST_CAST(MatrixType3, aba_partial_dtau); | |
| 413 |
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64 | Minv_.template triangularView<Eigen::Upper>().setZero(); |
| 414 | |||
| 415 | /// First, compute Minv and a, the joint acceleration vector | ||
| 416 | typedef ComputeABADerivativesForwardStep1< | ||
| 417 | Scalar, Options, JointCollectionTpl, ConfigVectorType, TangentVectorType1> | ||
| 418 | Pass1; | ||
| 419 |
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1750 | for (JointIndex i = 1; i < (JointIndex)model.njoints; ++i) |
| 420 | { | ||
| 421 |
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1686 | Pass1::run( |
| 422 | 1686 | model.joints[i], data.joints[i], | |
| 423 | 3372 | typename Pass1::ArgsType(model, data, q.derived(), v.derived())); | |
| 424 | } | ||
| 425 | |||
| 426 | 64 | data.Fcrb[0].setZero(); | |
| 427 | typedef ComputeABADerivativesBackwardStep1<Scalar, Options, JointCollectionTpl, MatrixType3> | ||
| 428 | Pass2; | ||
| 429 |
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1750 | for (JointIndex i = (JointIndex)(model.njoints - 1); i > 0; --i) |
| 430 | { | ||
| 431 |
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1686 | Pass2::run(model.joints[i], data.joints[i], typename Pass2::ArgsType(model, data, Minv_)); |
| 432 | } | ||
| 433 | |||
| 434 | typedef ComputeABADerivativesForwardStep2<Scalar, Options, JointCollectionTpl, MatrixType3> | ||
| 435 | Pass3; | ||
| 436 |
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1750 | for (JointIndex i = 1; i < (JointIndex)model.njoints; ++i) |
| 437 | { | ||
| 438 |
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1686 | Pass3::run(model.joints[i], data.joints[i], typename Pass3::ArgsType(model, data, Minv_)); |
| 439 | } | ||
| 440 | |||
| 441 | typedef ComputeABADerivativesBackwardStep2<Scalar, Options, JointCollectionTpl> Pass4; | ||
| 442 |
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1750 | for (JointIndex i = (JointIndex)(model.njoints - 1); i > 0; --i) |
| 443 | { | ||
| 444 |
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1686 | Pass4::run(model.joints[i], typename Pass4::ArgsType(model, data)); |
| 445 | } | ||
| 446 | |||
| 447 |
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64 | Minv_.template triangularView<Eigen::StrictlyLower>() = |
| 448 |
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64 | Minv_.transpose().template triangularView<Eigen::StrictlyLower>(); |
| 449 | |||
| 450 |
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64 | PINOCCHIO_EIGEN_CONST_CAST(MatrixType1, aba_partial_dq).noalias() = -Minv_ * data.dtau_dq; |
| 451 |
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64 | PINOCCHIO_EIGEN_CONST_CAST(MatrixType2, aba_partial_dv).noalias() = -Minv_ * data.dtau_dv; |
| 452 | 64 | } | |
| 453 | |||
| 454 | template< | ||
| 455 | typename Scalar, | ||
| 456 | int Options, | ||
| 457 | template<typename, int> class JointCollectionTpl, | ||
| 458 | typename ConfigVectorType, | ||
| 459 | typename TangentVectorType1, | ||
| 460 | typename TangentVectorType2, | ||
| 461 | typename MatrixType1, | ||
| 462 | typename MatrixType2, | ||
| 463 | typename MatrixType3> | ||
| 464 | 10 | void computeABADerivatives( | |
| 465 | const ModelTpl<Scalar, Options, JointCollectionTpl> & model, | ||
| 466 | DataTpl<Scalar, Options, JointCollectionTpl> & data, | ||
| 467 | const Eigen::MatrixBase<ConfigVectorType> & q, | ||
| 468 | const Eigen::MatrixBase<TangentVectorType1> & v, | ||
| 469 | const Eigen::MatrixBase<TangentVectorType2> & tau, | ||
| 470 | const container::aligned_vector<ForceTpl<Scalar, Options>> & fext, | ||
| 471 | const Eigen::MatrixBase<MatrixType1> & aba_partial_dq, | ||
| 472 | const Eigen::MatrixBase<MatrixType2> & aba_partial_dv, | ||
| 473 | const Eigen::MatrixBase<MatrixType3> & aba_partial_dtau) | ||
| 474 | { | ||
| 475 |
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10 | PINOCCHIO_CHECK_ARGUMENT_SIZE( |
| 476 | q.size(), model.nq, "The joint configuration vector is not of right size"); | ||
| 477 |
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10 | PINOCCHIO_CHECK_ARGUMENT_SIZE( |
| 478 | v.size(), model.nv, "The joint velocity vector is not of right size"); | ||
| 479 |
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10 | PINOCCHIO_CHECK_ARGUMENT_SIZE( |
| 480 | tau.size(), model.nv, "The joint torque vector is not of right size"); | ||
| 481 |
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10 | PINOCCHIO_CHECK_ARGUMENT_SIZE( |
| 482 | fext.size(), (size_t)model.njoints, "The external forces vector is not of right size"); | ||
| 483 |
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10 | PINOCCHIO_CHECK_ARGUMENT_SIZE(aba_partial_dq.cols(), model.nv); |
| 484 |
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10 | PINOCCHIO_CHECK_ARGUMENT_SIZE(aba_partial_dq.rows(), model.nv); |
| 485 |
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10 | PINOCCHIO_CHECK_ARGUMENT_SIZE(aba_partial_dv.cols(), model.nv); |
| 486 |
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10 | PINOCCHIO_CHECK_ARGUMENT_SIZE(aba_partial_dv.rows(), model.nv); |
| 487 |
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10 | PINOCCHIO_CHECK_ARGUMENT_SIZE(aba_partial_dtau.cols(), model.nv); |
| 488 |
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10 | PINOCCHIO_CHECK_ARGUMENT_SIZE(aba_partial_dtau.rows(), model.nv); |
| 489 |
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10 | PINOCCHIO_CHECK_INPUT_ARGUMENT( |
| 490 | isZero(model.gravity.angular()), | ||
| 491 | "The gravity must be a pure force vector, no angular part"); | ||
| 492 |
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10 | assert(model.check(data) && "data is not consistent with model."); |
| 493 | |||
| 494 | typedef typename ModelTpl<Scalar, Options, JointCollectionTpl>::JointIndex JointIndex; | ||
| 495 | |||
| 496 |
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10 | data.oa_gf[0] = -model.gravity; |
| 497 | 10 | data.u = tau; | |
| 498 | |||
| 499 | 10 | MatrixType3 & Minv_ = PINOCCHIO_EIGEN_CONST_CAST(MatrixType3, aba_partial_dtau); | |
| 500 |
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10 | Minv_.template triangularView<Eigen::Upper>().setZero(); |
| 501 | |||
| 502 | /// First, compute Minv and a, the joint acceleration vector | ||
| 503 | typedef ComputeABADerivativesForwardStep1< | ||
| 504 | Scalar, Options, JointCollectionTpl, ConfigVectorType, TangentVectorType1> | ||
| 505 | Pass1; | ||
| 506 |
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280 | for (JointIndex i = 1; i < (JointIndex)model.njoints; ++i) |
| 507 | { | ||
| 508 |
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270 | Pass1::run( |
| 509 | 270 | model.joints[i], data.joints[i], | |
| 510 | 270 | typename Pass1::ArgsType(model, data, q.derived(), v.derived())); | |
| 511 |
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270 | data.of[i] -= data.oMi[i].act(fext[i]); |
| 512 | } | ||
| 513 | |||
| 514 | 10 | data.Fcrb[0].setZero(); | |
| 515 | typedef ComputeABADerivativesBackwardStep1<Scalar, Options, JointCollectionTpl, MatrixType3> | ||
| 516 | Pass2; | ||
| 517 |
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280 | for (JointIndex i = (JointIndex)(model.njoints - 1); i > 0; --i) |
| 518 | { | ||
| 519 |
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270 | Pass2::run(model.joints[i], data.joints[i], typename Pass2::ArgsType(model, data, Minv_)); |
| 520 | } | ||
| 521 | |||
| 522 | typedef ComputeABADerivativesForwardStep2<Scalar, Options, JointCollectionTpl, MatrixType3> | ||
| 523 | Pass3; | ||
| 524 |
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280 | for (JointIndex i = 1; i < (JointIndex)model.njoints; ++i) |
| 525 | { | ||
| 526 |
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270 | Pass3::run(model.joints[i], data.joints[i], typename Pass3::ArgsType(model, data, Minv_)); |
| 527 |
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270 | data.of[i] -= data.oMi[i].act(fext[i]); |
| 528 | } | ||
| 529 | |||
| 530 | typedef ComputeABADerivativesBackwardStep2<Scalar, Options, JointCollectionTpl> Pass4; | ||
| 531 |
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280 | for (JointIndex i = (JointIndex)(model.njoints - 1); i > 0; --i) |
| 532 | { | ||
| 533 |
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270 | Pass4::run(model.joints[i], typename Pass4::ArgsType(model, data)); |
| 534 | } | ||
| 535 | |||
| 536 |
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10 | Minv_.template triangularView<Eigen::StrictlyLower>() = |
| 537 |
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10 | Minv_.transpose().template triangularView<Eigen::StrictlyLower>(); |
| 538 | |||
| 539 |
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10 | PINOCCHIO_EIGEN_CONST_CAST(MatrixType1, aba_partial_dq).noalias() = -Minv_ * data.dtau_dq; |
| 540 |
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10 | PINOCCHIO_EIGEN_CONST_CAST(MatrixType2, aba_partial_dv).noalias() = -Minv_ * data.dtau_dv; |
| 541 | 10 | } | |
| 542 | |||
| 543 | namespace optimized | ||
| 544 | { | ||
| 545 | template< | ||
| 546 | typename Scalar, | ||
| 547 | int Options, | ||
| 548 | template<typename, int> class JointCollectionTpl, | ||
| 549 | typename MatrixType> | ||
| 550 | struct ComputeABADerivativesBackwardStep1 | ||
| 551 | : public fusion::JointUnaryVisitorBase< | ||
| 552 | ComputeABADerivativesBackwardStep1<Scalar, Options, JointCollectionTpl, MatrixType>> | ||
| 553 | { | ||
| 554 | typedef ModelTpl<Scalar, Options, JointCollectionTpl> Model; | ||
| 555 | typedef DataTpl<Scalar, Options, JointCollectionTpl> Data; | ||
| 556 | |||
| 557 | typedef boost::fusion::vector<const Model &, Data &, MatrixType &> ArgsType; | ||
| 558 | |||
| 559 | template<typename JointModel> | ||
| 560 | 2268 | static void algo( | |
| 561 | const JointModelBase<JointModel> & jmodel, | ||
| 562 | JointDataBase<typename JointModel::JointDataDerived> & jdata, | ||
| 563 | const Model & model, | ||
| 564 | Data & data, | ||
| 565 | const Eigen::MatrixBase<MatrixType> & Minv) | ||
| 566 | { | ||
| 567 | typedef typename Model::JointIndex JointIndex; | ||
| 568 | typedef typename Data::Matrix6x Matrix6x; | ||
| 569 | |||
| 570 |
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2268 | const JointIndex i = jmodel.id(); |
| 571 | 2268 | const JointIndex parent = model.parents[i]; | |
| 572 | |||
| 573 | 2268 | Matrix6x & Fcrb = data.Fcrb[0]; | |
| 574 | |||
| 575 | typedef | ||
| 576 | typename SizeDepType<JointModel::NV>::template ColsReturn<typename Data::Matrix6x>::Type | ||
| 577 | ColsBlock; | ||
| 578 | |||
| 579 | typedef | ||
| 580 | typename SizeDepType<JointModel::NV>::template ColsReturn<Matrix6x>::Type ColBlock; | ||
| 581 |
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2268 | const ColBlock J_cols = jmodel.jointCols(data.J); |
| 582 | |||
| 583 | 2268 | MatrixType & Minv_ = PINOCCHIO_EIGEN_CONST_CAST(MatrixType, Minv); | |
| 584 | |||
| 585 |
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2268 | Minv_.block(jmodel.idx_v(), jmodel.idx_v(), jmodel.nv(), jmodel.nv()) = jdata.Dinv(); |
| 586 |
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2268 | const int nv_children = data.nvSubtree[i] - jmodel.nv(); |
| 587 |
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2268 | if (nv_children > 0) |
| 588 | { | ||
| 589 |
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1932 | ColsBlock SDinv_cols = jmodel.jointCols(data.SDinv); |
| 590 |
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1932 | SDinv_cols.noalias() = J_cols * jdata.Dinv(); |
| 591 | |||
| 592 |
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1932 | Minv_.block(jmodel.idx_v(), jmodel.idx_v() + jmodel.nv(), jmodel.nv(), nv_children) |
| 593 |
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3864 | .noalias() = |
| 594 |
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1932 | -SDinv_cols.transpose() * Fcrb.middleCols(jmodel.idx_v() + jmodel.nv(), nv_children); |
| 595 | |||
| 596 |
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1932 | if (parent > 0) |
| 597 | { | ||
| 598 |
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1848 | Fcrb.middleCols(jmodel.idx_v(), data.nvSubtree[i]).noalias() += |
| 599 |
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1848 | jdata.U() |
| 600 |
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5544 | * Minv_.block(jmodel.idx_v(), jmodel.idx_v(), jmodel.nv(), data.nvSubtree[i]); |
| 601 | ; | ||
| 602 | } | ||
| 603 | } | ||
| 604 | else // This a leaf of the kinematic tree | ||
| 605 | { | ||
| 606 |
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336 | Fcrb.middleCols(jmodel.idx_v(), data.nvSubtree[i]).noalias() = |
| 607 |
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336 | jdata.U() |
| 608 |
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1008 | * Minv_.block(jmodel.idx_v(), jmodel.idx_v(), jmodel.nv(), data.nvSubtree[i]); |
| 609 | } | ||
| 610 | } | ||
| 611 | }; | ||
| 612 | |||
| 613 | template< | ||
| 614 | typename Scalar, | ||
| 615 | int Options, | ||
| 616 | template<typename, int> class JointCollectionTpl, | ||
| 617 | typename MatrixType> | ||
| 618 | struct ComputeABADerivativesForwardStep2 | ||
| 619 | : public fusion::JointUnaryVisitorBase< | ||
| 620 | ComputeABADerivativesForwardStep2<Scalar, Options, JointCollectionTpl, MatrixType>> | ||
| 621 | { | ||
| 622 | typedef ModelTpl<Scalar, Options, JointCollectionTpl> Model; | ||
| 623 | typedef DataTpl<Scalar, Options, JointCollectionTpl> Data; | ||
| 624 | |||
| 625 | typedef ::pinocchio::impl:: | ||
| 626 | ComputeABADerivativesForwardStep2<Scalar, Options, JointCollectionTpl, MatrixType> | ||
| 627 | SimilarBase; | ||
| 628 | |||
| 629 | typedef boost::fusion::vector<const Model &, Data &, MatrixType &> ArgsType; | ||
| 630 | |||
| 631 | template<typename JointModel> | ||
| 632 | 2268 | static void algo( | |
| 633 | const JointModelBase<JointModel> & jmodel, | ||
| 634 | JointDataBase<typename JointModel::JointDataDerived> & jdata, | ||
| 635 | const Model & model, | ||
| 636 | Data & data, | ||
| 637 | MatrixType & Minv) | ||
| 638 | { | ||
| 639 | typedef typename Model::JointIndex JointIndex; | ||
| 640 | typedef typename Data::Matrix6x Matrix6x; | ||
| 641 | |||
| 642 |
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2268 | const JointIndex i = jmodel.id(); |
| 643 | 2268 | const JointIndex parent = model.parents[i]; | |
| 644 | |||
| 645 | 2268 | const typename Data::Motion & ov = data.ov[i]; | |
| 646 | // typename Data::Motion & oa = data.oa[i]; | ||
| 647 | 2268 | typename Data::Force & of = data.of[i]; | |
| 648 | 2268 | const typename Data::Motion & oa_gf = data.oa_gf[i]; | |
| 649 | |||
| 650 | typedef | ||
| 651 | typename SizeDepType<JointModel::NV>::template ColsReturn<Matrix6x>::Type ColsBlock; | ||
| 652 |
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2268 | const ColsBlock J_cols = jmodel.jointCols(data.J); |
| 653 | |||
| 654 | // Already done in optimized::aba | ||
| 655 | // oa = oa_gf + model.gravity; | ||
| 656 |
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2268 | data.oYcrb[i] = data.oinertias[i]; |
| 657 |
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2268 | of = data.oinertias[i] * oa_gf + ov.cross(data.oh[i]); |
| 658 | |||
| 659 | 2268 | MatrixType & Minv_ = PINOCCHIO_EIGEN_CONST_CAST(MatrixType, Minv); | |
| 660 | |||
| 661 |
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2268 | if (parent > 0) |
| 662 | { | ||
| 663 |
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2184 | Minv_.middleRows(jmodel.idx_v(), jmodel.nv()) |
| 664 |
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2184 | .rightCols(model.nv - jmodel.idx_v()) |
| 665 |
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2184 | .noalias() -= |
| 666 |
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4368 | jdata.UDinv().transpose() * data.Fcrb[parent].rightCols(model.nv - jmodel.idx_v()); |
| 667 | ; | ||
| 668 | } | ||
| 669 | |||
| 670 |
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2268 | data.Fcrb[i].rightCols(model.nv - jmodel.idx_v()).noalias() = |
| 671 | J_cols | ||
| 672 |
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2268 | * Minv_.middleRows(jmodel.idx_v(), jmodel.nv()).rightCols(model.nv - jmodel.idx_v()); |
| 673 |
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2268 | if (parent > 0) |
| 674 |
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2184 | data.Fcrb[i].rightCols(model.nv - jmodel.idx_v()) += |
| 675 |
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4368 | data.Fcrb[parent].rightCols(model.nv - jmodel.idx_v()); |
| 676 | |||
| 677 |
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2268 | ColsBlock dJ_cols = jmodel.jointCols(data.dJ); |
| 678 |
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2268 | ColsBlock dVdq_cols = jmodel.jointCols(data.dVdq); |
| 679 |
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2268 | ColsBlock dAdq_cols = jmodel.jointCols(data.dAdq); |
| 680 |
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2268 | ColsBlock dAdv_cols = jmodel.jointCols(data.dAdv); |
| 681 | |||
| 682 |
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2268 | motionSet::motionAction(ov, J_cols, dJ_cols); |
| 683 |
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2268 | motionSet::motionAction(data.oa_gf[parent], J_cols, dAdq_cols); |
| 684 |
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2268 | dAdv_cols = dJ_cols; |
| 685 |
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2268 | if (parent > 0) |
| 686 | { | ||
| 687 |
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2184 | motionSet::motionAction(data.ov[parent], J_cols, dVdq_cols); |
| 688 |
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2184 | motionSet::motionAction<ADDTO>(data.ov[parent], dVdq_cols, dAdq_cols); |
| 689 |
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2184 | dAdv_cols += dVdq_cols; |
| 690 | } | ||
| 691 | else | ||
| 692 |
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84 | dVdq_cols.setZero(); |
| 693 | |||
| 694 | // computes variation of inertias | ||
| 695 |
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2268 | data.doYcrb[i] = data.oinertias[i].variation(ov); |
| 696 |
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2268 | SimilarBase::addForceCrossMatrix(data.oh[i], data.doYcrb[i]); |
| 697 | } | ||
| 698 | }; | ||
| 699 | |||
| 700 | } // namespace optimized | ||
| 701 | |||
| 702 | template< | ||
| 703 | typename Scalar, | ||
| 704 | int Options, | ||
| 705 | template<typename, int> class JointCollectionTpl, | ||
| 706 | typename MatrixType1, | ||
| 707 | typename MatrixType2, | ||
| 708 | typename MatrixType3> | ||
| 709 | typename std::enable_if< | ||
| 710 | !(MatrixType1::IsVectorAtCompileTime || MatrixType2::IsVectorAtCompileTime | ||
| 711 | || MatrixType3::IsVectorAtCompileTime), | ||
| 712 | void>::type | ||
| 713 | 42 | computeABADerivatives( | |
| 714 | const ModelTpl<Scalar, Options, JointCollectionTpl> & model, | ||
| 715 | DataTpl<Scalar, Options, JointCollectionTpl> & data, | ||
| 716 | const Eigen::MatrixBase<MatrixType1> & aba_partial_dq, | ||
| 717 | const Eigen::MatrixBase<MatrixType2> & aba_partial_dv, | ||
| 718 | const Eigen::MatrixBase<MatrixType3> & aba_partial_dtau) | ||
| 719 | { | ||
| 720 |
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42 | PINOCCHIO_CHECK_INPUT_ARGUMENT(aba_partial_dq.cols() == model.nv); |
| 721 |
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42 | PINOCCHIO_CHECK_INPUT_ARGUMENT(aba_partial_dq.rows() == model.nv); |
| 722 |
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42 | PINOCCHIO_CHECK_INPUT_ARGUMENT(aba_partial_dv.cols() == model.nv); |
| 723 |
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42 | PINOCCHIO_CHECK_INPUT_ARGUMENT(aba_partial_dv.rows() == model.nv); |
| 724 |
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42 | PINOCCHIO_CHECK_INPUT_ARGUMENT(aba_partial_dtau.cols() == model.nv); |
| 725 |
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42 | PINOCCHIO_CHECK_INPUT_ARGUMENT(aba_partial_dtau.rows() == model.nv); |
| 726 |
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42 | PINOCCHIO_CHECK_INPUT_ARGUMENT( |
| 727 | isZero(model.gravity.angular()), | ||
| 728 | "The gravity must be a pure force vector, no angular part"); | ||
| 729 |
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42 | assert(model.check(data) && "data is not consistent with model."); |
| 730 | |||
| 731 | typedef typename ModelTpl<Scalar, Options, JointCollectionTpl>::JointIndex JointIndex; | ||
| 732 | |||
| 733 | 42 | MatrixType3 & Minv_ = PINOCCHIO_EIGEN_CONST_CAST(MatrixType3, aba_partial_dtau); | |
| 734 |
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42 | Minv_.template triangularView<Eigen::Upper>().setZero(); |
| 735 | |||
| 736 | 42 | data.Fcrb[0].setZero(); | |
| 737 | typedef optimized::ComputeABADerivativesBackwardStep1< | ||
| 738 | Scalar, Options, JointCollectionTpl, MatrixType3> | ||
| 739 | Pass2; | ||
| 740 |
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1176 | for (JointIndex i = (JointIndex)(model.njoints - 1); i > 0; --i) |
| 741 | { | ||
| 742 |
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1134 | Pass2::run(model.joints[i], data.joints[i], typename Pass2::ArgsType(model, data, Minv_)); |
| 743 | } | ||
| 744 | |||
| 745 | typedef optimized::ComputeABADerivativesForwardStep2< | ||
| 746 | Scalar, Options, JointCollectionTpl, MatrixType3> | ||
| 747 | Pass3; | ||
| 748 |
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1176 | for (JointIndex i = 1; i < (JointIndex)model.njoints; ++i) |
| 749 | { | ||
| 750 |
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1134 | Pass3::run(model.joints[i], data.joints[i], typename Pass3::ArgsType(model, data, Minv_)); |
| 751 | } | ||
| 752 | |||
| 753 | typedef ComputeABADerivativesBackwardStep2<Scalar, Options, JointCollectionTpl> Pass4; | ||
| 754 |
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1176 | for (JointIndex i = (JointIndex)(model.njoints - 1); i > 0; --i) |
| 755 | { | ||
| 756 |
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1134 | Pass4::run(model.joints[i], typename Pass4::ArgsType(model, data)); |
| 757 | } | ||
| 758 | |||
| 759 |
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42 | Minv_.template triangularView<Eigen::StrictlyLower>() = |
| 760 |
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42 | Minv_.transpose().template triangularView<Eigen::StrictlyLower>(); |
| 761 | |||
| 762 |
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42 | PINOCCHIO_EIGEN_CONST_CAST(MatrixType1, aba_partial_dq).noalias() = -Minv_ * data.dtau_dq; |
| 763 |
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42 | PINOCCHIO_EIGEN_CONST_CAST(MatrixType2, aba_partial_dv).noalias() = -Minv_ * data.dtau_dv; |
| 764 | } | ||
| 765 | |||
| 766 | template< | ||
| 767 | typename Scalar, | ||
| 768 | int Options, | ||
| 769 | template<typename, int> class JointCollectionTpl, | ||
| 770 | typename MatrixType1, | ||
| 771 | typename MatrixType2, | ||
| 772 | typename MatrixType3> | ||
| 773 | 42 | void computeABADerivatives( | |
| 774 | const ModelTpl<Scalar, Options, JointCollectionTpl> & model, | ||
| 775 | DataTpl<Scalar, Options, JointCollectionTpl> & data, | ||
| 776 | const container::aligned_vector<ForceTpl<Scalar, Options>> & fext, | ||
| 777 | const Eigen::MatrixBase<MatrixType1> & aba_partial_dq, | ||
| 778 | const Eigen::MatrixBase<MatrixType2> & aba_partial_dv, | ||
| 779 | const Eigen::MatrixBase<MatrixType3> & aba_partial_dtau) | ||
| 780 | { | ||
| 781 |
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42 | PINOCCHIO_CHECK_INPUT_ARGUMENT( |
| 782 | fext.size() == (size_t)model.njoints, | ||
| 783 | "The size of the external forces is not of right size"); | ||
| 784 |
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42 | PINOCCHIO_CHECK_INPUT_ARGUMENT(aba_partial_dq.cols() == model.nv); |
| 785 |
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42 | PINOCCHIO_CHECK_INPUT_ARGUMENT(aba_partial_dq.rows() == model.nv); |
| 786 |
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42 | PINOCCHIO_CHECK_INPUT_ARGUMENT(aba_partial_dv.cols() == model.nv); |
| 787 |
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42 | PINOCCHIO_CHECK_INPUT_ARGUMENT(aba_partial_dv.rows() == model.nv); |
| 788 |
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42 | PINOCCHIO_CHECK_INPUT_ARGUMENT(aba_partial_dtau.cols() == model.nv); |
| 789 |
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42 | PINOCCHIO_CHECK_INPUT_ARGUMENT(aba_partial_dtau.rows() == model.nv); |
| 790 |
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42 | PINOCCHIO_CHECK_INPUT_ARGUMENT( |
| 791 | isZero(model.gravity.angular()), | ||
| 792 | "The gravity must be a pure force vector, no angular part"); | ||
| 793 |
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42 | assert(model.check(data) && "data is not consistent with model."); |
| 794 | |||
| 795 | typedef typename ModelTpl<Scalar, Options, JointCollectionTpl>::JointIndex JointIndex; | ||
| 796 | |||
| 797 | 42 | MatrixType3 & Minv_ = PINOCCHIO_EIGEN_CONST_CAST(MatrixType3, aba_partial_dtau); | |
| 798 |
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42 | Minv_.template triangularView<Eigen::Upper>().setZero(); |
| 799 | |||
| 800 | /// First, compute Minv and a, the joint acceleration vector | ||
| 801 | // for(JointIndex i=1; i<(JointIndex) model.njoints; ++i) | ||
| 802 | // data.of[i] -= data.oMi[i].act(fext[i]); | ||
| 803 | |||
| 804 | 42 | data.Fcrb[0].setZero(); | |
| 805 | typedef optimized::ComputeABADerivativesBackwardStep1< | ||
| 806 | Scalar, Options, JointCollectionTpl, MatrixType3> | ||
| 807 | Pass2; | ||
| 808 |
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1176 | for (JointIndex i = (JointIndex)(model.njoints - 1); i > 0; --i) |
| 809 | { | ||
| 810 |
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1134 | Pass2::run(model.joints[i], data.joints[i], typename Pass2::ArgsType(model, data, Minv_)); |
| 811 | } | ||
| 812 | |||
| 813 | typedef optimized::ComputeABADerivativesForwardStep2< | ||
| 814 | Scalar, Options, JointCollectionTpl, MatrixType3> | ||
| 815 | Pass3; | ||
| 816 |
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1176 | for (JointIndex i = 1; i < (JointIndex)model.njoints; ++i) |
| 817 | { | ||
| 818 |
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1134 | Pass3::run(model.joints[i], data.joints[i], typename Pass3::ArgsType(model, data, Minv_)); |
| 819 |
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1134 | data.of[i] -= data.oMi[i].act(fext[i]); |
| 820 | } | ||
| 821 | |||
| 822 | typedef ComputeABADerivativesBackwardStep2<Scalar, Options, JointCollectionTpl> Pass4; | ||
| 823 |
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1176 | for (JointIndex i = (JointIndex)(model.njoints - 1); i > 0; --i) |
| 824 | { | ||
| 825 |
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1134 | Pass4::run(model.joints[i], typename Pass4::ArgsType(model, data)); |
| 826 | } | ||
| 827 | |||
| 828 |
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42 | Minv_.template triangularView<Eigen::StrictlyLower>() = |
| 829 |
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42 | Minv_.transpose().template triangularView<Eigen::StrictlyLower>(); |
| 830 | |||
| 831 |
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42 | PINOCCHIO_EIGEN_CONST_CAST(MatrixType1, aba_partial_dq).noalias() = -Minv_ * data.dtau_dq; |
| 832 |
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42 | PINOCCHIO_EIGEN_CONST_CAST(MatrixType2, aba_partial_dv).noalias() = -Minv_ * data.dtau_dv; |
| 833 | } | ||
| 834 | |||
| 835 | template< | ||
| 836 | typename Scalar, | ||
| 837 | int Options, | ||
| 838 | template<typename, int> class JointCollectionTpl, | ||
| 839 | typename ConfigVectorType, | ||
| 840 | typename TangentVectorType1, | ||
| 841 | typename TangentVectorType2> | ||
| 842 | typename std::enable_if< | ||
| 843 | ConfigVectorType::IsVectorAtCompileTime || TangentVectorType1::IsVectorAtCompileTime | ||
| 844 | || TangentVectorType2::IsVectorAtCompileTime, | ||
| 845 | void>::type | ||
| 846 | 27 | computeABADerivatives( | |
| 847 | const ModelTpl<Scalar, Options, JointCollectionTpl> & model, | ||
| 848 | DataTpl<Scalar, Options, JointCollectionTpl> & data, | ||
| 849 | const Eigen::MatrixBase<ConfigVectorType> & q, | ||
| 850 | const Eigen::MatrixBase<TangentVectorType1> & v, | ||
| 851 | const Eigen::MatrixBase<TangentVectorType2> & tau) | ||
| 852 | { | ||
| 853 | 27 | ::pinocchio::impl::computeABADerivatives( | |
| 854 | 27 | model, data, q, v, tau, data.ddq_dq, data.ddq_dv, data.Minv); | |
| 855 | 27 | } | |
| 856 | |||
| 857 | template< | ||
| 858 | typename Scalar, | ||
| 859 | int Options, | ||
| 860 | template<typename, int> class JointCollectionTpl, | ||
| 861 | typename ConfigVectorType, | ||
| 862 | typename TangentVectorType1, | ||
| 863 | typename TangentVectorType2> | ||
| 864 | 3 | void computeABADerivatives( | |
| 865 | const ModelTpl<Scalar, Options, JointCollectionTpl> & model, | ||
| 866 | DataTpl<Scalar, Options, JointCollectionTpl> & data, | ||
| 867 | const Eigen::MatrixBase<ConfigVectorType> & q, | ||
| 868 | const Eigen::MatrixBase<TangentVectorType1> & v, | ||
| 869 | const Eigen::MatrixBase<TangentVectorType2> & tau, | ||
| 870 | const container::aligned_vector<ForceTpl<Scalar, Options>> & fext) | ||
| 871 | { | ||
| 872 | 3 | ::pinocchio::impl::computeABADerivatives( | |
| 873 | 3 | model, data, q, v, tau, fext, data.ddq_dq, data.ddq_dv, data.Minv); | |
| 874 | 3 | } | |
| 875 | |||
| 876 | template<typename Scalar, int Options, template<typename, int> class JointCollectionTpl> | ||
| 877 | void computeABADerivatives( | ||
| 878 | const ModelTpl<Scalar, Options, JointCollectionTpl> & model, | ||
| 879 | DataTpl<Scalar, Options, JointCollectionTpl> & data) | ||
| 880 | { | ||
| 881 | ::pinocchio::impl::computeABADerivatives(model, data, data.ddq_dq, data.ddq_dv, data.Minv); | ||
| 882 | } | ||
| 883 | |||
| 884 | template<typename Scalar, int Options, template<typename, int> class JointCollectionTpl> | ||
| 885 | void computeABADerivatives( | ||
| 886 | const ModelTpl<Scalar, Options, JointCollectionTpl> & model, | ||
| 887 | DataTpl<Scalar, Options, JointCollectionTpl> & data, | ||
| 888 | const container::aligned_vector<ForceTpl<Scalar, Options>> & fext) | ||
| 889 | { | ||
| 890 | ::pinocchio::impl::computeABADerivatives( | ||
| 891 | model, data, fext, data.ddq_dq, data.ddq_dv, data.Minv); | ||
| 892 | } | ||
| 893 | |||
| 894 | } // namespace impl | ||
| 895 | |||
| 896 | template< | ||
| 897 | typename Scalar, | ||
| 898 | int Options, | ||
| 899 | template<typename, int> class JointCollectionTpl, | ||
| 900 | typename ConfigVectorType, | ||
| 901 | typename TangentVectorType1, | ||
| 902 | typename TangentVectorType2, | ||
| 903 | typename MatrixType1, | ||
| 904 | typename MatrixType2, | ||
| 905 | typename MatrixType3> | ||
| 906 | 9 | void computeABADerivatives( | |
| 907 | const ModelTpl<Scalar, Options, JointCollectionTpl> & model, | ||
| 908 | DataTpl<Scalar, Options, JointCollectionTpl> & data, | ||
| 909 | const Eigen::MatrixBase<ConfigVectorType> & q, | ||
| 910 | const Eigen::MatrixBase<TangentVectorType1> & v, | ||
| 911 | const Eigen::MatrixBase<TangentVectorType2> & tau, | ||
| 912 | const Eigen::MatrixBase<MatrixType1> & aba_partial_dq, | ||
| 913 | const Eigen::MatrixBase<MatrixType2> & aba_partial_dv, | ||
| 914 | const Eigen::MatrixBase<MatrixType3> & aba_partial_dtau) | ||
| 915 | { | ||
| 916 |
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9 | impl::computeABADerivatives( |
| 917 | model, data, make_const_ref(q), make_const_ref(v), make_const_ref(tau), | ||
| 918 | make_ref(aba_partial_dq), make_ref(aba_partial_dv), make_ref(aba_partial_dtau)); | ||
| 919 | 9 | } | |
| 920 | |||
| 921 | template< | ||
| 922 | typename Scalar, | ||
| 923 | int Options, | ||
| 924 | template<typename, int> class JointCollectionTpl, | ||
| 925 | typename ConfigVectorType, | ||
| 926 | typename TangentVectorType1, | ||
| 927 | typename TangentVectorType2, | ||
| 928 | typename MatrixType1, | ||
| 929 | typename MatrixType2, | ||
| 930 | typename MatrixType3> | ||
| 931 | 4 | void computeABADerivatives( | |
| 932 | const ModelTpl<Scalar, Options, JointCollectionTpl> & model, | ||
| 933 | DataTpl<Scalar, Options, JointCollectionTpl> & data, | ||
| 934 | const Eigen::MatrixBase<ConfigVectorType> & q, | ||
| 935 | const Eigen::MatrixBase<TangentVectorType1> & v, | ||
| 936 | const Eigen::MatrixBase<TangentVectorType2> & tau, | ||
| 937 | const container::aligned_vector<ForceTpl<Scalar, Options>> & fext, | ||
| 938 | const Eigen::MatrixBase<MatrixType1> & aba_partial_dq, | ||
| 939 | const Eigen::MatrixBase<MatrixType2> & aba_partial_dv, | ||
| 940 | const Eigen::MatrixBase<MatrixType3> & aba_partial_dtau) | ||
| 941 | { | ||
| 942 |
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4 | impl::computeABADerivatives( |
| 943 | model, data, make_const_ref(q), make_const_ref(v), make_const_ref(tau), fext, | ||
| 944 | make_ref(aba_partial_dq), make_ref(aba_partial_dv), make_ref(aba_partial_dtau)); | ||
| 945 | 4 | } | |
| 946 | |||
| 947 | template< | ||
| 948 | typename Scalar, | ||
| 949 | int Options, | ||
| 950 | template<typename, int> class JointCollectionTpl, | ||
| 951 | typename ConfigVectorType, | ||
| 952 | typename TangentVectorType1, | ||
| 953 | typename TangentVectorType2> | ||
| 954 | typename std::enable_if< | ||
| 955 | ConfigVectorType::IsVectorAtCompileTime || TangentVectorType1::IsVectorAtCompileTime | ||
| 956 | || TangentVectorType2::IsVectorAtCompileTime, | ||
| 957 | void>::type | ||
| 958 | 27 | computeABADerivatives( | |
| 959 | const ModelTpl<Scalar, Options, JointCollectionTpl> & model, | ||
| 960 | DataTpl<Scalar, Options, JointCollectionTpl> & data, | ||
| 961 | const Eigen::MatrixBase<ConfigVectorType> & q, | ||
| 962 | const Eigen::MatrixBase<TangentVectorType1> & v, | ||
| 963 | const Eigen::MatrixBase<TangentVectorType2> & tau) | ||
| 964 | { | ||
| 965 |
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27 | impl::computeABADerivatives( |
| 966 | model, data, make_const_ref(q), make_const_ref(v), make_const_ref(tau)); | ||
| 967 | 27 | } | |
| 968 | |||
| 969 | template< | ||
| 970 | typename Scalar, | ||
| 971 | int Options, | ||
| 972 | template<typename, int> class JointCollectionTpl, | ||
| 973 | typename ConfigVectorType, | ||
| 974 | typename TangentVectorType1, | ||
| 975 | typename TangentVectorType2> | ||
| 976 | 3 | void computeABADerivatives( | |
| 977 | const ModelTpl<Scalar, Options, JointCollectionTpl> & model, | ||
| 978 | DataTpl<Scalar, Options, JointCollectionTpl> & data, | ||
| 979 | const Eigen::MatrixBase<ConfigVectorType> & q, | ||
| 980 | const Eigen::MatrixBase<TangentVectorType1> & v, | ||
| 981 | const Eigen::MatrixBase<TangentVectorType2> & tau, | ||
| 982 | const container::aligned_vector<ForceTpl<Scalar, Options>> & fext) | ||
| 983 | { | ||
| 984 |
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3 | impl::computeABADerivatives( |
| 985 | model, data, make_const_ref(q), make_const_ref(v), make_const_ref(tau), fext); | ||
| 986 | 3 | } | |
| 987 | |||
| 988 | template< | ||
| 989 | typename Scalar, | ||
| 990 | int Options, | ||
| 991 | template<typename, int> class JointCollectionTpl, | ||
| 992 | typename MatrixType1, | ||
| 993 | typename MatrixType2, | ||
| 994 | typename MatrixType3> | ||
| 995 | typename std::enable_if< | ||
| 996 | !(MatrixType1::IsVectorAtCompileTime || MatrixType2::IsVectorAtCompileTime | ||
| 997 | || MatrixType3::IsVectorAtCompileTime), | ||
| 998 | void>::type | ||
| 999 | 21 | computeABADerivatives( | |
| 1000 | const ModelTpl<Scalar, Options, JointCollectionTpl> & model, | ||
| 1001 | DataTpl<Scalar, Options, JointCollectionTpl> & data, | ||
| 1002 | const Eigen::MatrixBase<MatrixType1> & aba_partial_dq, | ||
| 1003 | const Eigen::MatrixBase<MatrixType2> & aba_partial_dv, | ||
| 1004 | const Eigen::MatrixBase<MatrixType3> & aba_partial_dtau) | ||
| 1005 | { | ||
| 1006 |
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21 | impl::computeABADerivatives( |
| 1007 | model, data, make_ref(aba_partial_dq), make_ref(aba_partial_dv), make_ref(aba_partial_dtau)); | ||
| 1008 | 21 | } | |
| 1009 | |||
| 1010 | template<typename Scalar, int Options, template<typename, int> class JointCollectionTpl> | ||
| 1011 | ✗ | void computeABADerivatives( | |
| 1012 | const ModelTpl<Scalar, Options, JointCollectionTpl> & model, | ||
| 1013 | DataTpl<Scalar, Options, JointCollectionTpl> & data) | ||
| 1014 | { | ||
| 1015 | ✗ | impl::computeABADerivatives( | |
| 1016 | ✗ | model, data, make_ref(data.ddq_dq), make_ref(data.ddq_dv), make_ref(data.Minv)); | |
| 1017 | } | ||
| 1018 | |||
| 1019 | template< | ||
| 1020 | typename Scalar, | ||
| 1021 | int Options, | ||
| 1022 | template<typename, int> class JointCollectionTpl, | ||
| 1023 | typename MatrixType1, | ||
| 1024 | typename MatrixType2, | ||
| 1025 | typename MatrixType3> | ||
| 1026 | 21 | void computeABADerivatives( | |
| 1027 | const ModelTpl<Scalar, Options, JointCollectionTpl> & model, | ||
| 1028 | DataTpl<Scalar, Options, JointCollectionTpl> & data, | ||
| 1029 | const container::aligned_vector<ForceTpl<Scalar, Options>> & fext, | ||
| 1030 | const Eigen::MatrixBase<MatrixType1> & aba_partial_dq, | ||
| 1031 | const Eigen::MatrixBase<MatrixType2> & aba_partial_dv, | ||
| 1032 | const Eigen::MatrixBase<MatrixType3> & aba_partial_dtau) | ||
| 1033 | { | ||
| 1034 |
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21 | impl::computeABADerivatives( |
| 1035 | model, data, fext, make_ref(aba_partial_dq), make_ref(aba_partial_dv), | ||
| 1036 | make_ref(aba_partial_dtau)); | ||
| 1037 | 21 | } | |
| 1038 | |||
| 1039 | template<typename Scalar, int Options, template<typename, int> class JointCollectionTpl> | ||
| 1040 | ✗ | void computeABADerivatives( | |
| 1041 | const ModelTpl<Scalar, Options, JointCollectionTpl> & model, | ||
| 1042 | DataTpl<Scalar, Options, JointCollectionTpl> & data, | ||
| 1043 | const container::aligned_vector<ForceTpl<Scalar, Options>> & fext) | ||
| 1044 | { | ||
| 1045 | ✗ | impl::computeABADerivatives( | |
| 1046 | ✗ | model, data, fext, make_ref(data.ddq_dq), make_ref(data.ddq_dv), make_ref(data.Minv)); | |
| 1047 | } | ||
| 1048 | |||
| 1049 | } // namespace pinocchio | ||
| 1050 | |||
| 1051 | #endif // ifndef __pinocchio_algorithm_aba_derivatives_hxx__ | ||
| 1052 |