| Directory: | ./ |
|---|---|
| File: | include/pinocchio/multibody/joint/joint-planar.hpp |
| Date: | 2025-02-12 21:03:38 |
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| Lines: | 215 | 221 | 97.3% |
| Branches: | 246 | 676 | 36.4% |
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| 1 | // | ||
| 2 | // Copyright (c) 2015-2020 CNRS INRIA | ||
| 3 | // Copyright (c) 2015-2016 Wandercraft, 86 rue de Paris 91400 Orsay, France. | ||
| 4 | // | ||
| 5 | |||
| 6 | #ifndef __pinocchio_multibody_joint_planar_hpp__ | ||
| 7 | #define __pinocchio_multibody_joint_planar_hpp__ | ||
| 8 | |||
| 9 | #include "pinocchio/macros.hpp" | ||
| 10 | #include "pinocchio/multibody/joint/joint-base.hpp" | ||
| 11 | #include "pinocchio/spatial/cartesian-axis.hpp" | ||
| 12 | #include "pinocchio/multibody/joint-motion-subspace.hpp" | ||
| 13 | #include "pinocchio/spatial/motion.hpp" | ||
| 14 | #include "pinocchio/spatial/inertia.hpp" | ||
| 15 | |||
| 16 | namespace pinocchio | ||
| 17 | { | ||
| 18 | |||
| 19 | template<typename Scalar, int Options = context::Options> | ||
| 20 | struct MotionPlanarTpl; | ||
| 21 | typedef MotionPlanarTpl<context::Scalar> MotionPlanar; | ||
| 22 | |||
| 23 | template<typename Scalar, int Options> | ||
| 24 | struct SE3GroupAction<MotionPlanarTpl<Scalar, Options>> | ||
| 25 | { | ||
| 26 | typedef MotionTpl<Scalar, Options> ReturnType; | ||
| 27 | }; | ||
| 28 | |||
| 29 | template<typename Scalar, int Options, typename MotionDerived> | ||
| 30 | struct MotionAlgebraAction<MotionPlanarTpl<Scalar, Options>, MotionDerived> | ||
| 31 | { | ||
| 32 | typedef MotionTpl<Scalar, Options> ReturnType; | ||
| 33 | }; | ||
| 34 | |||
| 35 | template<typename _Scalar, int _Options> | ||
| 36 | struct traits<MotionPlanarTpl<_Scalar, _Options>> | ||
| 37 | { | ||
| 38 | typedef _Scalar Scalar; | ||
| 39 | enum | ||
| 40 | { | ||
| 41 | Options = _Options | ||
| 42 | }; | ||
| 43 | typedef Eigen::Matrix<Scalar, 3, 1, Options> Vector3; | ||
| 44 | typedef Eigen::Matrix<Scalar, 6, 1, Options> Vector6; | ||
| 45 | typedef Eigen::Matrix<Scalar, 4, 4, Options> Matrix4; | ||
| 46 | typedef Eigen::Matrix<Scalar, 6, 6, Options> Matrix6; | ||
| 47 | typedef typename PINOCCHIO_EIGEN_REF_CONST_TYPE(Vector6) ToVectorConstReturnType; | ||
| 48 | typedef typename PINOCCHIO_EIGEN_REF_TYPE(Vector6) ToVectorReturnType; | ||
| 49 | typedef Vector3 AngularType; | ||
| 50 | typedef Vector3 LinearType; | ||
| 51 | typedef const Vector3 ConstAngularType; | ||
| 52 | typedef const Vector3 ConstLinearType; | ||
| 53 | typedef Matrix6 ActionMatrixType; | ||
| 54 | typedef Matrix4 HomogeneousMatrixType; | ||
| 55 | typedef MotionTpl<Scalar, Options> MotionPlain; | ||
| 56 | typedef MotionPlain PlainReturnType; | ||
| 57 | enum | ||
| 58 | { | ||
| 59 | LINEAR = 0, | ||
| 60 | ANGULAR = 3 | ||
| 61 | }; | ||
| 62 | }; // traits MotionPlanarTpl | ||
| 63 | |||
| 64 | template<typename _Scalar, int _Options> | ||
| 65 | struct MotionPlanarTpl : MotionBase<MotionPlanarTpl<_Scalar, _Options>> | ||
| 66 | { | ||
| 67 | EIGEN_MAKE_ALIGNED_OPERATOR_NEW | ||
| 68 | MOTION_TYPEDEF_TPL(MotionPlanarTpl); | ||
| 69 | |||
| 70 | typedef CartesianAxis<2> ZAxis; | ||
| 71 | |||
| 72 | 7 | MotionPlanarTpl() | |
| 73 | 7 | { | |
| 74 | 7 | } | |
| 75 | |||
| 76 | 1 | MotionPlanarTpl(const Scalar & x_dot, const Scalar & y_dot, const Scalar & theta_dot) | |
| 77 | 1 | { | |
| 78 |
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1 | m_data << x_dot, y_dot, theta_dot; |
| 79 | 1 | } | |
| 80 | |||
| 81 | template<typename Vector3Like> | ||
| 82 | 3184 | MotionPlanarTpl(const Eigen::MatrixBase<Vector3Like> & vj) | |
| 83 | 3184 | : m_data(vj) | |
| 84 | { | ||
| 85 | EIGEN_STATIC_ASSERT_VECTOR_SPECIFIC_SIZE(Vector3Like, 3); | ||
| 86 | 3184 | } | |
| 87 | |||
| 88 | 1033 | inline PlainReturnType plain() const | |
| 89 | { | ||
| 90 | return PlainReturnType( | ||
| 91 |
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1035 | typename PlainReturnType::Vector3(vx(), vy(), Scalar(0)), |
| 92 |
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3099 | typename PlainReturnType::Vector3(Scalar(0), Scalar(0), wz())); |
| 93 | } | ||
| 94 | |||
| 95 | template<typename Derived> | ||
| 96 | 1 | void addTo(MotionDense<Derived> & other) const | |
| 97 | { | ||
| 98 |
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1 | other.linear()[0] += vx(); |
| 99 |
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1 | other.linear()[1] += vy(); |
| 100 |
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1 | other.angular()[2] += wz(); |
| 101 | 1 | } | |
| 102 | |||
| 103 | template<typename MotionDerived> | ||
| 104 | 5 | void setTo(MotionDense<MotionDerived> & other) const | |
| 105 | { | ||
| 106 |
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5 | other.linear() << vx(), vy(), (Scalar)0; |
| 107 |
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5 | other.angular() << (Scalar)0, (Scalar)0, wz(); |
| 108 | 5 | } | |
| 109 | |||
| 110 | template<typename S2, int O2, typename D2> | ||
| 111 | 2 | void se3Action_impl(const SE3Tpl<S2, O2> & m, MotionDense<D2> & v) const | |
| 112 | { | ||
| 113 |
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2 | v.angular().noalias() = m.rotation().col(2) * wz(); |
| 114 |
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2 | v.linear().noalias() = m.rotation().template leftCols<2>() * m_data.template head<2>(); |
| 115 |
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2 | v.linear() += m.translation().cross(v.angular()); |
| 116 | 2 | } | |
| 117 | |||
| 118 | template<typename S2, int O2> | ||
| 119 | 2 | MotionPlain se3Action_impl(const SE3Tpl<S2, O2> & m) const | |
| 120 | { | ||
| 121 | 2 | MotionPlain res; | |
| 122 |
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2 | se3Action_impl(m, res); |
| 123 | 2 | return res; | |
| 124 | } | ||
| 125 | |||
| 126 | template<typename S2, int O2, typename D2> | ||
| 127 | 1 | void se3ActionInverse_impl(const SE3Tpl<S2, O2> & m, MotionDense<D2> & v) const | |
| 128 | { | ||
| 129 | // Linear | ||
| 130 | // TODO: use v.angular() as temporary variable | ||
| 131 |
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1 | Vector3 v3_tmp; |
| 132 |
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1 | ZAxis::alphaCross(wz(), m.translation(), v3_tmp); |
| 133 |
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1 | v3_tmp[0] += vx(); |
| 134 |
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1 | v3_tmp[1] += vy(); |
| 135 |
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1 | v.linear().noalias() = m.rotation().transpose() * v3_tmp; |
| 136 | |||
| 137 | // Angular | ||
| 138 |
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1 | v.angular().noalias() = m.rotation().transpose().col(2) * wz(); |
| 139 | 1 | } | |
| 140 | |||
| 141 | template<typename S2, int O2> | ||
| 142 | 1 | MotionPlain se3ActionInverse_impl(const SE3Tpl<S2, O2> & m) const | |
| 143 | { | ||
| 144 | 1 | MotionPlain res; | |
| 145 |
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1 | se3ActionInverse_impl(m, res); |
| 146 | 1 | return res; | |
| 147 | } | ||
| 148 | |||
| 149 | template<typename M1, typename M2> | ||
| 150 | 3 | void motionAction(const MotionDense<M1> & v, MotionDense<M2> & mout) const | |
| 151 | { | ||
| 152 | // Linear | ||
| 153 |
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3 | ZAxis::alphaCross(-wz(), v.linear(), mout.linear()); |
| 154 | |||
| 155 |
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3 | typename M1::ConstAngularType w_in = v.angular(); |
| 156 |
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3 | typename M2::LinearType v_out = mout.linear(); |
| 157 | |||
| 158 |
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3 | v_out[0] -= w_in[2] * vy(); |
| 159 |
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3 | v_out[1] += w_in[2] * vx(); |
| 160 |
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3 | v_out[2] += -w_in[1] * vx() + w_in[0] * vy(); |
| 161 | |||
| 162 | // Angular | ||
| 163 |
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3 | ZAxis::alphaCross(-wz(), v.angular(), mout.angular()); |
| 164 | 3 | } | |
| 165 | |||
| 166 | template<typename M1> | ||
| 167 | 3 | MotionPlain motionAction(const MotionDense<M1> & v) const | |
| 168 | { | ||
| 169 | 3 | MotionPlain res; | |
| 170 |
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3 | motionAction(v, res); |
| 171 | 3 | return res; | |
| 172 | } | ||
| 173 | |||
| 174 | 1046 | const Scalar & vx() const | |
| 175 | { | ||
| 176 | 1046 | return m_data[0]; | |
| 177 | } | ||
| 178 | 1038 | Scalar & vx() | |
| 179 | { | ||
| 180 | 1040 | return m_data[0]; | |
| 181 | } | ||
| 182 | |||
| 183 | 1046 | const Scalar & vy() const | |
| 184 | { | ||
| 185 | 1046 | return m_data[1]; | |
| 186 | } | ||
| 187 | 1038 | Scalar & vy() | |
| 188 | { | ||
| 189 | 1040 | return m_data[1]; | |
| 190 | } | ||
| 191 | |||
| 192 | 1049 | const Scalar & wz() const | |
| 193 | { | ||
| 194 | 1049 | return m_data[2]; | |
| 195 | } | ||
| 196 | 1038 | Scalar & wz() | |
| 197 | { | ||
| 198 | 1040 | return m_data[2]; | |
| 199 | } | ||
| 200 | |||
| 201 | const Vector3 & data() const | ||
| 202 | { | ||
| 203 | return m_data; | ||
| 204 | } | ||
| 205 | 28 | Vector3 & data() | |
| 206 | { | ||
| 207 | 28 | return m_data; | |
| 208 | } | ||
| 209 | |||
| 210 | 17 | bool isEqual_impl(const MotionPlanarTpl & other) const | |
| 211 | { | ||
| 212 | 17 | return internal::comparison_eq(m_data, other.m_data); | |
| 213 | } | ||
| 214 | |||
| 215 | protected: | ||
| 216 | Vector3 m_data; | ||
| 217 | |||
| 218 | }; // struct MotionPlanarTpl | ||
| 219 | |||
| 220 | template<typename Scalar, int Options, typename MotionDerived> | ||
| 221 | inline typename MotionDerived::MotionPlain | ||
| 222 | ✗ | operator+(const MotionPlanarTpl<Scalar, Options> & m1, const MotionDense<MotionDerived> & m2) | |
| 223 | { | ||
| 224 | ✗ | typename MotionDerived::MotionPlain result(m2); | |
| 225 | ✗ | result.linear()[0] += m1.vx(); | |
| 226 | ✗ | result.linear()[1] += m1.vy(); | |
| 227 | |||
| 228 | ✗ | result.angular()[2] += m1.wz(); | |
| 229 | |||
| 230 | ✗ | return result; | |
| 231 | } | ||
| 232 | |||
| 233 | template<typename Scalar, int Options> | ||
| 234 | struct JointMotionSubspacePlanarTpl; | ||
| 235 | |||
| 236 | template<typename _Scalar, int _Options> | ||
| 237 | struct traits<JointMotionSubspacePlanarTpl<_Scalar, _Options>> | ||
| 238 | { | ||
| 239 | typedef _Scalar Scalar; | ||
| 240 | enum | ||
| 241 | { | ||
| 242 | Options = _Options | ||
| 243 | }; | ||
| 244 | enum | ||
| 245 | { | ||
| 246 | LINEAR = 0, | ||
| 247 | ANGULAR = 3 | ||
| 248 | }; | ||
| 249 | typedef MotionPlanarTpl<Scalar, Options> JointMotion; | ||
| 250 | typedef Eigen::Matrix<Scalar, 3, 1, Options> JointForce; | ||
| 251 | typedef Eigen::Matrix<Scalar, 6, 3, Options> DenseBase; | ||
| 252 | typedef Eigen::Matrix<Scalar, 3, 3, Options> ReducedSquaredMatrix; | ||
| 253 | |||
| 254 | typedef DenseBase MatrixReturnType; | ||
| 255 | typedef const DenseBase ConstMatrixReturnType; | ||
| 256 | |||
| 257 | typedef typename ReducedSquaredMatrix::IdentityReturnType StDiagonalMatrixSOperationReturnType; | ||
| 258 | }; // struct traits JointMotionSubspacePlanarTpl | ||
| 259 | |||
| 260 | template<typename _Scalar, int _Options> | ||
| 261 | struct JointMotionSubspacePlanarTpl | ||
| 262 | : JointMotionSubspaceBase<JointMotionSubspacePlanarTpl<_Scalar, _Options>> | ||
| 263 | { | ||
| 264 | EIGEN_MAKE_ALIGNED_OPERATOR_NEW | ||
| 265 | PINOCCHIO_CONSTRAINT_TYPEDEF_TPL(JointMotionSubspacePlanarTpl) | ||
| 266 | |||
| 267 | enum | ||
| 268 | { | ||
| 269 | NV = 3 | ||
| 270 | }; | ||
| 271 | |||
| 272 | 3185 | JointMotionSubspacePlanarTpl() {}; | |
| 273 | |||
| 274 | template<typename Vector3Like> | ||
| 275 | 3 | JointMotion __mult__(const Eigen::MatrixBase<Vector3Like> & vj) const | |
| 276 | { | ||
| 277 | EIGEN_STATIC_ASSERT_VECTOR_SPECIFIC_SIZE(Vector3Like, 3); | ||
| 278 | 3 | return JointMotion(vj); | |
| 279 | } | ||
| 280 | |||
| 281 | 24 | int nv_impl() const | |
| 282 | { | ||
| 283 | 24 | return NV; | |
| 284 | } | ||
| 285 | |||
| 286 | struct ConstraintTranspose : JointMotionSubspaceTransposeBase<JointMotionSubspacePlanarTpl> | ||
| 287 | { | ||
| 288 | const JointMotionSubspacePlanarTpl & ref; | ||
| 289 | 5 | ConstraintTranspose(const JointMotionSubspacePlanarTpl & ref) | |
| 290 | 5 | : ref(ref) | |
| 291 | { | ||
| 292 | 5 | } | |
| 293 | |||
| 294 | template<typename Derived> | ||
| 295 | 3 | typename ForceDense<Derived>::Vector3 operator*(const ForceDense<Derived> & phi) | |
| 296 | { | ||
| 297 | typedef typename ForceDense<Derived>::Vector3 Vector3; | ||
| 298 |
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6 | return Vector3(phi.linear()[0], phi.linear()[1], phi.angular()[2]); |
| 299 | } | ||
| 300 | |||
| 301 | /* [CRBA] MatrixBase operator* (Constraint::Transpose S, ForceSet::Block) */ | ||
| 302 | template<typename Derived> | ||
| 303 | friend typename Eigen:: | ||
| 304 | Matrix<typename Eigen::MatrixBase<Derived>::Scalar, 3, Derived::ColsAtCompileTime> | ||
| 305 | 1 | operator*(const ConstraintTranspose &, const Eigen::MatrixBase<Derived> & F) | |
| 306 | { | ||
| 307 | typedef typename Eigen::MatrixBase<Derived>::Scalar Scalar; | ||
| 308 | typedef Eigen::Matrix<Scalar, 3, Derived::ColsAtCompileTime> MatrixReturnType; | ||
| 309 |
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1 | assert(F.rows() == 6); |
| 310 | |||
| 311 |
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1 | MatrixReturnType result(3, F.cols()); |
| 312 |
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1 | result.template topRows<2>() = F.template topRows<2>(); |
| 313 |
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1 | result.template bottomRows<1>() = F.template bottomRows<1>(); |
| 314 | 1 | return result; | |
| 315 | } | ||
| 316 | |||
| 317 | }; // struct ConstraintTranspose | ||
| 318 | |||
| 319 | 5 | ConstraintTranspose transpose() const | |
| 320 | { | ||
| 321 | 5 | return ConstraintTranspose(*this); | |
| 322 | } | ||
| 323 | |||
| 324 | 15 | DenseBase matrix_impl() const | |
| 325 | { | ||
| 326 | 15 | DenseBase S; | |
| 327 |
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15 | S.template block<3, 3>(Inertia::LINEAR, 0).setZero(); |
| 328 |
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15 | S.template block<3, 3>(Inertia::ANGULAR, 0).setZero(); |
| 329 |
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15 | S(Inertia::LINEAR + 0, 0) = Scalar(1); |
| 330 |
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15 | S(Inertia::LINEAR + 1, 1) = Scalar(1); |
| 331 |
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15 | S(Inertia::ANGULAR + 2, 2) = Scalar(1); |
| 332 | 15 | return S; | |
| 333 | } | ||
| 334 | |||
| 335 | template<typename S1, int O1> | ||
| 336 | 7 | DenseBase se3Action(const SE3Tpl<S1, O1> & m) const | |
| 337 | { | ||
| 338 | 7 | DenseBase X_subspace; | |
| 339 | |||
| 340 | // LINEAR | ||
| 341 |
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7 | X_subspace.template block<3, 2>(Motion::LINEAR, 0) = m.rotation().template leftCols<2>(); |
| 342 |
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7 | X_subspace.template block<3, 1>(Motion::LINEAR, 2).noalias() = |
| 343 |
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7 | m.translation().cross(m.rotation().template rightCols<1>()); |
| 344 | |||
| 345 | // ANGULAR | ||
| 346 |
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7 | X_subspace.template block<3, 2>(Motion::ANGULAR, 0).setZero(); |
| 347 |
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7 | X_subspace.template block<3, 1>(Motion::ANGULAR, 2) = m.rotation().template rightCols<1>(); |
| 348 | |||
| 349 | 7 | return X_subspace; | |
| 350 | } | ||
| 351 | |||
| 352 | template<typename S1, int O1> | ||
| 353 | 3 | DenseBase se3ActionInverse(const SE3Tpl<S1, O1> & m) const | |
| 354 | { | ||
| 355 | 3 | DenseBase X_subspace; | |
| 356 | |||
| 357 | // LINEAR | ||
| 358 |
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3 | X_subspace.template block<3, 2>(Motion::LINEAR, 0) = |
| 359 |
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3 | m.rotation().transpose().template leftCols<2>(); |
| 360 |
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3 | X_subspace.template block<3, 1>(Motion::ANGULAR, 2).noalias() = |
| 361 |
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3 | m.rotation().transpose() * m.translation(); // tmp variable |
| 362 |
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3 | X_subspace.template block<3, 1>(Motion::LINEAR, 2).noalias() = |
| 363 |
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3 | -X_subspace.template block<3, 1>(Motion::ANGULAR, 2) |
| 364 |
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3 | .cross(m.rotation().transpose().template rightCols<1>()); |
| 365 | |||
| 366 | // ANGULAR | ||
| 367 |
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3 | X_subspace.template block<3, 2>(Motion::ANGULAR, 0).setZero(); |
| 368 |
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3 | X_subspace.template block<3, 1>(Motion::ANGULAR, 2) = |
| 369 |
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3 | m.rotation().transpose().template rightCols<1>(); |
| 370 | |||
| 371 | 3 | return X_subspace; | |
| 372 | } | ||
| 373 | |||
| 374 | template<typename MotionDerived> | ||
| 375 | 2 | DenseBase motionAction(const MotionDense<MotionDerived> & m) const | |
| 376 | { | ||
| 377 |
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2 | const typename MotionDerived::ConstLinearType v = m.linear(); |
| 378 |
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2 | const typename MotionDerived::ConstAngularType w = m.angular(); |
| 379 |
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2 | DenseBase res(DenseBase::Zero()); |
| 380 | |||
| 381 |
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2 | res(0, 1) = -w[2]; |
| 382 |
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2 | res(0, 2) = v[1]; |
| 383 |
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2 | res(1, 0) = w[2]; |
| 384 |
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2 | res(1, 2) = -v[0]; |
| 385 |
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2 | res(2, 0) = -w[1]; |
| 386 |
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2 | res(2, 1) = w[0]; |
| 387 |
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2 | res(3, 2) = w[1]; |
| 388 |
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2 | res(4, 2) = -w[0]; |
| 389 | |||
| 390 | 4 | return res; | |
| 391 | } | ||
| 392 | |||
| 393 | 17 | bool isEqual(const JointMotionSubspacePlanarTpl &) const | |
| 394 | { | ||
| 395 | 17 | return true; | |
| 396 | } | ||
| 397 | |||
| 398 | }; // struct JointMotionSubspacePlanarTpl | ||
| 399 | |||
| 400 | template<typename MotionDerived, typename S2, int O2> | ||
| 401 | inline typename MotionDerived::MotionPlain | ||
| 402 | 2 | operator^(const MotionDense<MotionDerived> & m1, const MotionPlanarTpl<S2, O2> & m2) | |
| 403 | { | ||
| 404 | 2 | return m2.motionAction(m1); | |
| 405 | } | ||
| 406 | |||
| 407 | /* [CRBA] ForceSet operator* (Inertia Y,Constraint S) */ | ||
| 408 | template<typename S1, int O1, typename S2, int O2> | ||
| 409 | inline typename Eigen::Matrix<S1, 6, 3, O1> | ||
| 410 | 2 | operator*(const InertiaTpl<S1, O1> & Y, const JointMotionSubspacePlanarTpl<S2, O2> &) | |
| 411 | { | ||
| 412 | typedef InertiaTpl<S1, O1> Inertia; | ||
| 413 | typedef typename Inertia::Scalar Scalar; | ||
| 414 | typedef Eigen::Matrix<S1, 6, 3, O1> ReturnType; | ||
| 415 | |||
| 416 |
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2 | ReturnType M; |
| 417 |
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2 | const Scalar mass = Y.mass(); |
| 418 | 2 | const typename Inertia::Vector3 & com = Y.lever(); | |
| 419 | 2 | const typename Inertia::Symmetric3 & inertia = Y.inertia(); | |
| 420 | |||
| 421 |
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2 | M.template topLeftCorner<3, 3>().setZero(); |
| 422 |
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2 | M.template topLeftCorner<2, 2>().diagonal().fill(mass); |
| 423 | |||
| 424 |
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2 | const typename Inertia::Vector3 mc(mass * com); |
| 425 |
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2 | M.template rightCols<1>().template head<2>() << -mc(1), mc(0); |
| 426 | |||
| 427 |
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2 | M.template bottomLeftCorner<3, 2>() << (Scalar)0, -mc(2), mc(2), (Scalar)0, -mc(1), mc(0); |
| 428 |
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2 | M.template rightCols<1>().template tail<3>() = inertia.data().template tail<3>(); |
| 429 |
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2 | M.template rightCols<1>()[3] -= mc(0) * com(2); |
| 430 |
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2 | M.template rightCols<1>()[4] -= mc(1) * com(2); |
| 431 |
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2 | M.template rightCols<1>()[5] += mass * (com(0) * com(0) + com(1) * com(1)); |
| 432 | |||
| 433 | 4 | return M; | |
| 434 | } | ||
| 435 | |||
| 436 | /* [ABA] Y*S operator (Inertia Y,Constraint S) */ | ||
| 437 | // inline Eigen::Matrix<context::Scalar,6,1> | ||
| 438 | |||
| 439 | template<typename M6Like, typename S2, int O2> | ||
| 440 | inline Eigen::Matrix<S2, 6, 3, O2> | ||
| 441 | 2 | operator*(const Eigen::MatrixBase<M6Like> & Y, const JointMotionSubspacePlanarTpl<S2, O2> &) | |
| 442 | { | ||
| 443 | EIGEN_STATIC_ASSERT_MATRIX_SPECIFIC_SIZE(M6Like, 6, 6); | ||
| 444 | typedef Eigen::Matrix<S2, 6, 3, O2> Matrix63; | ||
| 445 | |||
| 446 | 2 | Matrix63 IS; | |
| 447 |
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2 | IS.template leftCols<2>() = Y.template leftCols<2>(); |
| 448 |
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2 | IS.template rightCols<1>() = Y.template rightCols<1>(); |
| 449 | |||
| 450 | 2 | return IS; | |
| 451 | } | ||
| 452 | |||
| 453 | template<typename S1, int O1> | ||
| 454 | struct SE3GroupAction<JointMotionSubspacePlanarTpl<S1, O1>> | ||
| 455 | { | ||
| 456 | typedef Eigen::Matrix<S1, 6, 3, O1> ReturnType; | ||
| 457 | }; | ||
| 458 | |||
| 459 | template<typename S1, int O1, typename MotionDerived> | ||
| 460 | struct MotionAlgebraAction<JointMotionSubspacePlanarTpl<S1, O1>, MotionDerived> | ||
| 461 | { | ||
| 462 | typedef Eigen::Matrix<S1, 6, 3, O1> ReturnType; | ||
| 463 | }; | ||
| 464 | |||
| 465 | template<typename Scalar, int Options> | ||
| 466 | struct JointPlanarTpl; | ||
| 467 | |||
| 468 | template<typename _Scalar, int _Options> | ||
| 469 | struct traits<JointPlanarTpl<_Scalar, _Options>> | ||
| 470 | { | ||
| 471 | enum | ||
| 472 | { | ||
| 473 | NQ = 4, | ||
| 474 | NV = 3 | ||
| 475 | }; | ||
| 476 | enum | ||
| 477 | { | ||
| 478 | Options = _Options | ||
| 479 | }; | ||
| 480 | typedef _Scalar Scalar; | ||
| 481 | typedef JointDataPlanarTpl<Scalar, Options> JointDataDerived; | ||
| 482 | typedef JointModelPlanarTpl<Scalar, Options> JointModelDerived; | ||
| 483 | typedef JointMotionSubspacePlanarTpl<Scalar, Options> Constraint_t; | ||
| 484 | typedef SE3Tpl<Scalar, Options> Transformation_t; | ||
| 485 | typedef MotionPlanarTpl<Scalar, Options> Motion_t; | ||
| 486 | typedef MotionZeroTpl<Scalar, Options> Bias_t; | ||
| 487 | |||
| 488 | // [ABA] | ||
| 489 | typedef Eigen::Matrix<Scalar, 6, NV, Options> U_t; | ||
| 490 | typedef Eigen::Matrix<Scalar, NV, NV, Options> D_t; | ||
| 491 | typedef Eigen::Matrix<Scalar, 6, NV, Options> UD_t; | ||
| 492 | |||
| 493 | typedef Eigen::Matrix<Scalar, NQ, 1, Options> ConfigVector_t; | ||
| 494 | typedef Eigen::Matrix<Scalar, NV, 1, Options> TangentVector_t; | ||
| 495 | |||
| 496 | PINOCCHIO_JOINT_DATA_BASE_ACCESSOR_DEFAULT_RETURN_TYPE | ||
| 497 | }; | ||
| 498 | |||
| 499 | template<typename _Scalar, int _Options> | ||
| 500 | struct traits<JointDataPlanarTpl<_Scalar, _Options>> | ||
| 501 | { | ||
| 502 | typedef JointPlanarTpl<_Scalar, _Options> JointDerived; | ||
| 503 | typedef _Scalar Scalar; | ||
| 504 | }; | ||
| 505 | template<typename _Scalar, int _Options> | ||
| 506 | struct traits<JointModelPlanarTpl<_Scalar, _Options>> | ||
| 507 | { | ||
| 508 | typedef JointPlanarTpl<_Scalar, _Options> JointDerived; | ||
| 509 | typedef _Scalar Scalar; | ||
| 510 | }; | ||
| 511 | |||
| 512 | template<typename _Scalar, int _Options> | ||
| 513 | struct JointDataPlanarTpl : public JointDataBase<JointDataPlanarTpl<_Scalar, _Options>> | ||
| 514 | { | ||
| 515 | EIGEN_MAKE_ALIGNED_OPERATOR_NEW | ||
| 516 | typedef JointPlanarTpl<_Scalar, _Options> JointDerived; | ||
| 517 | PINOCCHIO_JOINT_DATA_TYPEDEF_TEMPLATE(JointDerived); | ||
| 518 | 877 | PINOCCHIO_JOINT_DATA_BASE_DEFAULT_ACCESSOR | |
| 519 | |||
| 520 | ConfigVector_t joint_q; | ||
| 521 | TangentVector_t joint_v; | ||
| 522 | |||
| 523 | Constraint_t S; | ||
| 524 | Transformation_t M; | ||
| 525 | Motion_t v; | ||
| 526 | Bias_t c; | ||
| 527 | |||
| 528 | // [ABA] specific data | ||
| 529 | U_t U; | ||
| 530 | D_t Dinv; | ||
| 531 | UD_t UDinv; | ||
| 532 | D_t StU; | ||
| 533 | |||
| 534 | 3178 | JointDataPlanarTpl() | |
| 535 |
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3178 | : joint_q(Scalar(0), Scalar(0), Scalar(1), Scalar(0)) |
| 536 |
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3178 | , joint_v(TangentVector_t::Zero()) |
| 537 |
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3178 | , M(Transformation_t::Identity()) |
| 538 |
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3178 | , v(Motion_t::Vector3::Zero()) |
| 539 |
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3178 | , U(U_t::Zero()) |
| 540 |
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3178 | , Dinv(D_t::Zero()) |
| 541 |
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3178 | , UDinv(UD_t::Zero()) |
| 542 |
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9534 | , StU(D_t::Zero()) |
| 543 | { | ||
| 544 | 3178 | } | |
| 545 | |||
| 546 | 144 | static std::string classname() | |
| 547 | { | ||
| 548 |
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144 | return std::string("JointDataPlanar"); |
| 549 | } | ||
| 550 | 3 | std::string shortname() const | |
| 551 | { | ||
| 552 | 3 | return classname(); | |
| 553 | } | ||
| 554 | |||
| 555 | }; // struct JointDataPlanarTpl | ||
| 556 | |||
| 557 | PINOCCHIO_JOINT_CAST_TYPE_SPECIALIZATION(JointModelPlanarTpl); | ||
| 558 | template<typename _Scalar, int _Options> | ||
| 559 | struct JointModelPlanarTpl : public JointModelBase<JointModelPlanarTpl<_Scalar, _Options>> | ||
| 560 | { | ||
| 561 | EIGEN_MAKE_ALIGNED_OPERATOR_NEW | ||
| 562 | typedef JointPlanarTpl<_Scalar, _Options> JointDerived; | ||
| 563 | PINOCCHIO_JOINT_TYPEDEF_TEMPLATE(JointDerived); | ||
| 564 | |||
| 565 | typedef JointModelBase<JointModelPlanarTpl> Base; | ||
| 566 | using Base::id; | ||
| 567 | using Base::idx_q; | ||
| 568 | using Base::idx_v; | ||
| 569 | using Base::setIndexes; | ||
| 570 | |||
| 571 | 3102 | JointDataDerived createData() const | |
| 572 | { | ||
| 573 | 3102 | return JointDataDerived(); | |
| 574 | } | ||
| 575 | |||
| 576 | 1 | const std::vector<bool> hasConfigurationLimit() const | |
| 577 | { | ||
| 578 |
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1 | return {true, true, false, false}; |
| 579 | } | ||
| 580 | |||
| 581 | 1 | const std::vector<bool> hasConfigurationLimitInTangent() const | |
| 582 | { | ||
| 583 |
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1 | return {true, true, false}; |
| 584 | } | ||
| 585 | |||
| 586 | template<typename ConfigVector> | ||
| 587 | inline void | ||
| 588 | forwardKinematics(Transformation_t & M, const Eigen::MatrixBase<ConfigVector> & q_joint) const | ||
| 589 | { | ||
| 590 | const Scalar &c_theta = q_joint(2), &s_theta = q_joint(3); | ||
| 591 | |||
| 592 | M.rotation().template topLeftCorner<2, 2>() << c_theta, -s_theta, s_theta, c_theta; | ||
| 593 | M.translation().template head<2>() = q_joint.template head<2>(); | ||
| 594 | } | ||
| 595 | |||
| 596 | template<typename ConfigVector> | ||
| 597 | 6170 | void calc(JointDataDerived & data, const typename Eigen::MatrixBase<ConfigVector> & qs) const | |
| 598 | { | ||
| 599 |
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6170 | data.joint_q = qs.template segment<NQ>(idx_q()); |
| 600 | |||
| 601 | 6170 | const Scalar &c_theta = data.joint_q(2), &s_theta = data.joint_q(3); | |
| 602 | |||
| 603 |
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6170 | data.M.rotation().template topLeftCorner<2, 2>() << c_theta, -s_theta, s_theta, c_theta; |
| 604 |
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6170 | data.M.translation().template head<2>() = data.joint_q.template head<2>(); |
| 605 | 6170 | } | |
| 606 | |||
| 607 | template<typename TangentVector> | ||
| 608 | void | ||
| 609 | 1 | calc(JointDataDerived & data, const Blank, const typename Eigen::MatrixBase<TangentVector> & vs) | |
| 610 | const | ||
| 611 | { | ||
| 612 |
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1 | data.joint_v = vs.template segment<NV>(idx_v()); |
| 613 | |||
| 614 | #define q_dot data.joint_v | ||
| 615 | 1 | data.v.vx() = q_dot(0); | |
| 616 | 1 | data.v.vy() = q_dot(1); | |
| 617 | 1 | data.v.wz() = q_dot(2); | |
| 618 | #undef q_dot | ||
| 619 | 1 | } | |
| 620 | |||
| 621 | template<typename ConfigVector, typename TangentVector> | ||
| 622 | 1043 | void calc( | |
| 623 | JointDataDerived & data, | ||
| 624 | const typename Eigen::MatrixBase<ConfigVector> & qs, | ||
| 625 | const typename Eigen::MatrixBase<TangentVector> & vs) const | ||
| 626 | { | ||
| 627 | 1043 | calc(data, qs.derived()); | |
| 628 | |||
| 629 |
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1043 | data.joint_v = vs.template segment<NV>(idx_v()); |
| 630 | |||
| 631 | #define q_dot data.joint_v | ||
| 632 | 1043 | data.v.vx() = q_dot(0); | |
| 633 | 1043 | data.v.vy() = q_dot(1); | |
| 634 | 1043 | data.v.wz() = q_dot(2); | |
| 635 | #undef q_dot | ||
| 636 | 1043 | } | |
| 637 | |||
| 638 | template<typename VectorLike, typename Matrix6Like> | ||
| 639 | 8 | void calc_aba( | |
| 640 | JointDataDerived & data, | ||
| 641 | const Eigen::MatrixBase<VectorLike> & armature, | ||
| 642 | const Eigen::MatrixBase<Matrix6Like> & I, | ||
| 643 | const bool update_I) const | ||
| 644 | { | ||
| 645 |
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8 | data.U.template leftCols<2>() = I.template leftCols<2>(); |
| 646 |
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8 | data.U.template rightCols<1>() = I.template rightCols<1>(); |
| 647 | |||
| 648 |
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8 | data.StU.template leftCols<2>() = data.U.template topRows<2>().transpose(); |
| 649 |
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8 | data.StU.template rightCols<1>() = data.U.template bottomRows<1>(); |
| 650 | |||
| 651 |
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8 | data.StU.diagonal() += armature; |
| 652 | 8 | internal::PerformStYSInversion<Scalar>::run(data.StU, data.Dinv); | |
| 653 | |||
| 654 |
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8 | data.UDinv.noalias() = data.U * data.Dinv; |
| 655 | |||
| 656 |
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8 | if (update_I) |
| 657 |
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3 | PINOCCHIO_EIGEN_CONST_CAST(Matrix6Like, I).noalias() -= data.UDinv * data.U.transpose(); |
| 658 | 8 | } | |
| 659 | |||
| 660 | 19551 | static std::string classname() | |
| 661 | { | ||
| 662 |
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19551 | return std::string("JointModelPlanar"); |
| 663 | } | ||
| 664 | 19409 | std::string shortname() const | |
| 665 | { | ||
| 666 | 19409 | return classname(); | |
| 667 | } | ||
| 668 | |||
| 669 | /// \returns An expression of *this with the Scalar type casted to NewScalar. | ||
| 670 | template<typename NewScalar> | ||
| 671 | 5 | JointModelPlanarTpl<NewScalar, Options> cast() const | |
| 672 | { | ||
| 673 | typedef JointModelPlanarTpl<NewScalar, Options> ReturnType; | ||
| 674 | 5 | ReturnType res; | |
| 675 | 5 | res.setIndexes(id(), idx_q(), idx_v()); | |
| 676 | 5 | return res; | |
| 677 | } | ||
| 678 | |||
| 679 | }; // struct JointModelPlanarTpl | ||
| 680 | |||
| 681 | } // namespace pinocchio | ||
| 682 | |||
| 683 | #include <boost/type_traits.hpp> | ||
| 684 | |||
| 685 | namespace boost | ||
| 686 | { | ||
| 687 | template<typename Scalar, int Options> | ||
| 688 | struct has_nothrow_constructor<::pinocchio::JointModelPlanarTpl<Scalar, Options>> | ||
| 689 | : public integral_constant<bool, true> | ||
| 690 | { | ||
| 691 | }; | ||
| 692 | |||
| 693 | template<typename Scalar, int Options> | ||
| 694 | struct has_nothrow_copy<::pinocchio::JointModelPlanarTpl<Scalar, Options>> | ||
| 695 | : public integral_constant<bool, true> | ||
| 696 | { | ||
| 697 | }; | ||
| 698 | |||
| 699 | template<typename Scalar, int Options> | ||
| 700 | struct has_nothrow_constructor<::pinocchio::JointDataPlanarTpl<Scalar, Options>> | ||
| 701 | : public integral_constant<bool, true> | ||
| 702 | { | ||
| 703 | }; | ||
| 704 | |||
| 705 | template<typename Scalar, int Options> | ||
| 706 | struct has_nothrow_copy<::pinocchio::JointDataPlanarTpl<Scalar, Options>> | ||
| 707 | : public integral_constant<bool, true> | ||
| 708 | { | ||
| 709 | }; | ||
| 710 | } // namespace boost | ||
| 711 | |||
| 712 | #endif // ifndef __pinocchio_multibody_joint_planar_hpp__ | ||
| 713 |