| Directory: | ./ |
|---|---|
| File: | include/pinocchio/multibody/joint/joint-revolute-unaligned.hpp |
| Date: | 2025-04-30 16:14:33 |
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| Lines: | 188 | 196 | 95.9% |
| Branches: | 175 | 415 | 42.2% |
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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_revolute_unaligned_hpp__ | ||
| 7 | #define __pinocchio_multibody_joint_revolute_unaligned_hpp__ | ||
| 8 | |||
| 9 | #include "pinocchio/fwd.hpp" | ||
| 10 | #include "pinocchio/multibody/joint/joint-base.hpp" | ||
| 11 | #include "pinocchio/multibody/joint-motion-subspace.hpp" | ||
| 12 | #include "pinocchio/spatial/inertia.hpp" | ||
| 13 | |||
| 14 | #include "pinocchio/math/matrix.hpp" | ||
| 15 | #include "pinocchio/math/rotation.hpp" | ||
| 16 | |||
| 17 | namespace pinocchio | ||
| 18 | { | ||
| 19 | |||
| 20 | template<typename Scalar, int Options = context::Options> | ||
| 21 | struct MotionRevoluteUnalignedTpl; | ||
| 22 | typedef MotionRevoluteUnalignedTpl<context::Scalar> MotionRevoluteUnaligned; | ||
| 23 | |||
| 24 | template<typename Scalar, int Options> | ||
| 25 | struct SE3GroupAction<MotionRevoluteUnalignedTpl<Scalar, Options>> | ||
| 26 | { | ||
| 27 | typedef MotionTpl<Scalar, Options> ReturnType; | ||
| 28 | }; | ||
| 29 | |||
| 30 | template<typename Scalar, int Options, typename MotionDerived> | ||
| 31 | struct MotionAlgebraAction<MotionRevoluteUnalignedTpl<Scalar, Options>, MotionDerived> | ||
| 32 | { | ||
| 33 | typedef MotionTpl<Scalar, Options> ReturnType; | ||
| 34 | }; | ||
| 35 | |||
| 36 | template<typename _Scalar, int _Options> | ||
| 37 | struct traits<MotionRevoluteUnalignedTpl<_Scalar, _Options>> | ||
| 38 | { | ||
| 39 | typedef _Scalar Scalar; | ||
| 40 | enum | ||
| 41 | { | ||
| 42 | Options = _Options | ||
| 43 | }; | ||
| 44 | typedef Eigen::Matrix<Scalar, 3, 1, Options> Vector3; | ||
| 45 | typedef Eigen::Matrix<Scalar, 6, 1, Options> Vector6; | ||
| 46 | typedef Eigen::Matrix<Scalar, 4, 4, Options> Matrix4; | ||
| 47 | typedef Eigen::Matrix<Scalar, 6, 6, Options> Matrix6; | ||
| 48 | typedef typename PINOCCHIO_EIGEN_REF_CONST_TYPE(Vector6) ToVectorConstReturnType; | ||
| 49 | typedef typename PINOCCHIO_EIGEN_REF_TYPE(Vector6) ToVectorReturnType; | ||
| 50 | typedef Vector3 AngularType; | ||
| 51 | typedef Vector3 LinearType; | ||
| 52 | typedef const Vector3 ConstAngularType; | ||
| 53 | typedef const Vector3 ConstLinearType; | ||
| 54 | typedef Matrix6 ActionMatrixType; | ||
| 55 | typedef Matrix4 HomogeneousMatrixType; | ||
| 56 | typedef MotionTpl<Scalar, Options> MotionPlain; | ||
| 57 | typedef MotionPlain PlainReturnType; | ||
| 58 | enum | ||
| 59 | { | ||
| 60 | LINEAR = 0, | ||
| 61 | ANGULAR = 3 | ||
| 62 | }; | ||
| 63 | }; // traits MotionRevoluteUnalignedTpl | ||
| 64 | |||
| 65 | template<typename _Scalar, int _Options> | ||
| 66 | struct MotionRevoluteUnalignedTpl : MotionBase<MotionRevoluteUnalignedTpl<_Scalar, _Options>> | ||
| 67 | { | ||
| 68 | EIGEN_MAKE_ALIGNED_OPERATOR_NEW | ||
| 69 | MOTION_TYPEDEF_TPL(MotionRevoluteUnalignedTpl); | ||
| 70 | |||
| 71 | 14 | MotionRevoluteUnalignedTpl() | |
| 72 | 14 | { | |
| 73 | 14 | } | |
| 74 | |||
| 75 | template<typename Vector3Like, typename OtherScalar> | ||
| 76 | 3313 | MotionRevoluteUnalignedTpl(const Eigen::MatrixBase<Vector3Like> & axis, const OtherScalar & w) | |
| 77 | 3313 | : m_axis(axis) | |
| 78 |
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3313 | , m_w(w) |
| 79 | { | ||
| 80 | 3313 | } | |
| 81 | |||
| 82 | 1046 | inline PlainReturnType plain() const | |
| 83 | { | ||
| 84 |
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1046 | return PlainReturnType(PlainReturnType::Vector3::Zero(), m_axis * m_w); |
| 85 | } | ||
| 86 | |||
| 87 | template<typename OtherScalar> | ||
| 88 | MotionRevoluteUnalignedTpl __mult__(const OtherScalar & alpha) const | ||
| 89 | { | ||
| 90 | return MotionRevoluteUnalignedTpl(m_axis, alpha * m_w); | ||
| 91 | } | ||
| 92 | |||
| 93 | template<typename MotionDerived> | ||
| 94 | 2 | inline void addTo(MotionDense<MotionDerived> & v) const | |
| 95 | { | ||
| 96 |
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2 | v.angular() += m_axis * m_w; |
| 97 | 2 | } | |
| 98 | |||
| 99 | template<typename Derived> | ||
| 100 | 12 | void setTo(MotionDense<Derived> & other) const | |
| 101 | { | ||
| 102 |
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12 | other.linear().setZero(); |
| 103 |
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12 | other.angular().noalias() = m_axis * m_w; |
| 104 | 12 | } | |
| 105 | |||
| 106 | template<typename S2, int O2, typename D2> | ||
| 107 | 3 | void se3Action_impl(const SE3Tpl<S2, O2> & m, MotionDense<D2> & v) const | |
| 108 | { | ||
| 109 | // Angular | ||
| 110 |
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3 | v.angular().noalias() = m_w * m.rotation() * m_axis; |
| 111 | |||
| 112 | // Linear | ||
| 113 |
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3 | v.linear().noalias() = m.translation().cross(v.angular()); |
| 114 | 3 | } | |
| 115 | |||
| 116 | template<typename S2, int O2> | ||
| 117 | 3 | MotionPlain se3Action_impl(const SE3Tpl<S2, O2> & m) const | |
| 118 | { | ||
| 119 | 3 | MotionPlain res; | |
| 120 |
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3 | se3Action_impl(m, res); |
| 121 | 3 | return res; | |
| 122 | } | ||
| 123 | |||
| 124 | template<typename S2, int O2, typename D2> | ||
| 125 | 5 | void se3ActionInverse_impl(const SE3Tpl<S2, O2> & m, MotionDense<D2> & v) const | |
| 126 | { | ||
| 127 | // Linear | ||
| 128 | // TODO: use v.angular() as temporary variable | ||
| 129 |
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5 | Vector3 v3_tmp; |
| 130 |
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5 | v3_tmp.noalias() = m_axis.cross(m.translation()); |
| 131 |
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5 | v3_tmp *= m_w; |
| 132 |
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5 | v.linear().noalias() = m.rotation().transpose() * v3_tmp; |
| 133 | |||
| 134 | // Angular | ||
| 135 |
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5 | v.angular().noalias() = m.rotation().transpose() * m_axis; |
| 136 |
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5 | v.angular() *= m_w; |
| 137 | 5 | } | |
| 138 | |||
| 139 | template<typename S2, int O2> | ||
| 140 | 5 | MotionPlain se3ActionInverse_impl(const SE3Tpl<S2, O2> & m) const | |
| 141 | { | ||
| 142 | 5 | MotionPlain res; | |
| 143 |
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5 | se3ActionInverse_impl(m, res); |
| 144 | 5 | return res; | |
| 145 | } | ||
| 146 | |||
| 147 | template<typename M1, typename M2> | ||
| 148 | 5 | void motionAction(const MotionDense<M1> & v, MotionDense<M2> & mout) const | |
| 149 | { | ||
| 150 | // Linear | ||
| 151 |
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5 | mout.linear().noalias() = v.linear().cross(m_axis); |
| 152 |
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5 | mout.linear() *= m_w; |
| 153 | |||
| 154 | // Angular | ||
| 155 |
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5 | mout.angular().noalias() = v.angular().cross(m_axis); |
| 156 |
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5 | mout.angular() *= m_w; |
| 157 | 5 | } | |
| 158 | |||
| 159 | template<typename M1> | ||
| 160 | 5 | MotionPlain motionAction(const MotionDense<M1> & v) const | |
| 161 | { | ||
| 162 | 5 | MotionPlain res; | |
| 163 |
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5 | motionAction(v, res); |
| 164 | 5 | return res; | |
| 165 | } | ||
| 166 | |||
| 167 | 34 | bool isEqual_impl(const MotionRevoluteUnalignedTpl & other) const | |
| 168 | { | ||
| 169 | 34 | return internal::comparison_eq(m_axis, other.m_axis) | |
| 170 |
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34 | && internal::comparison_eq(m_w, other.m_w); |
| 171 | } | ||
| 172 | |||
| 173 | const Scalar & angularRate() const | ||
| 174 | { | ||
| 175 | return m_w; | ||
| 176 | } | ||
| 177 | 1123 | Scalar & angularRate() | |
| 178 | { | ||
| 179 | 1123 | return m_w; | |
| 180 | } | ||
| 181 | |||
| 182 | const Vector3 & axis() const | ||
| 183 | { | ||
| 184 | return m_axis; | ||
| 185 | } | ||
| 186 | 56 | Vector3 & axis() | |
| 187 | { | ||
| 188 | 56 | return m_axis; | |
| 189 | } | ||
| 190 | |||
| 191 | protected: | ||
| 192 | Vector3 m_axis; | ||
| 193 | Scalar m_w; | ||
| 194 | |||
| 195 | }; // struct MotionRevoluteUnalignedTpl | ||
| 196 | |||
| 197 | template<typename S1, int O1, typename MotionDerived> | ||
| 198 | inline typename MotionDerived::MotionPlain | ||
| 199 | ✗ | operator+(const MotionRevoluteUnalignedTpl<S1, O1> & m1, const MotionDense<MotionDerived> & m2) | |
| 200 | { | ||
| 201 | ✗ | typename MotionDerived::MotionPlain res(m2); | |
| 202 | ✗ | res += m1; | |
| 203 | ✗ | return res; | |
| 204 | } | ||
| 205 | |||
| 206 | template<typename MotionDerived, typename S2, int O2> | ||
| 207 | inline typename MotionDerived::MotionPlain | ||
| 208 | 4 | operator^(const MotionDense<MotionDerived> & m1, const MotionRevoluteUnalignedTpl<S2, O2> & m2) | |
| 209 | { | ||
| 210 | 4 | return m2.motionAction(m1); | |
| 211 | } | ||
| 212 | |||
| 213 | template<typename Scalar, int Options> | ||
| 214 | struct JointMotionSubspaceRevoluteUnalignedTpl; | ||
| 215 | |||
| 216 | template<typename _Scalar, int _Options> | ||
| 217 | struct traits<JointMotionSubspaceRevoluteUnalignedTpl<_Scalar, _Options>> | ||
| 218 | { | ||
| 219 | typedef _Scalar Scalar; | ||
| 220 | enum | ||
| 221 | { | ||
| 222 | Options = _Options | ||
| 223 | }; | ||
| 224 | enum | ||
| 225 | { | ||
| 226 | LINEAR = 0, | ||
| 227 | ANGULAR = 3 | ||
| 228 | }; | ||
| 229 | |||
| 230 | typedef MotionRevoluteUnalignedTpl<Scalar, Options> JointMotion; | ||
| 231 | typedef Eigen::Matrix<Scalar, 1, 1, Options> JointForce; | ||
| 232 | typedef Eigen::Matrix<Scalar, 6, 1, Options> DenseBase; | ||
| 233 | typedef Eigen::Matrix<Scalar, 1, 1, Options> ReducedSquaredMatrix; | ||
| 234 | |||
| 235 | typedef DenseBase MatrixReturnType; | ||
| 236 | typedef const DenseBase ConstMatrixReturnType; | ||
| 237 | |||
| 238 | typedef Eigen::Matrix<Scalar, 3, 1, Options> Vector3; | ||
| 239 | |||
| 240 | typedef typename ReducedSquaredMatrix::IdentityReturnType StDiagonalMatrixSOperationReturnType; | ||
| 241 | }; // traits JointMotionSubspaceRevoluteUnalignedTpl | ||
| 242 | |||
| 243 | template<typename Scalar, int Options> | ||
| 244 | struct SE3GroupAction<JointMotionSubspaceRevoluteUnalignedTpl<Scalar, Options>> | ||
| 245 | { | ||
| 246 | typedef Eigen::Matrix<Scalar, 6, 1, Options> ReturnType; | ||
| 247 | }; | ||
| 248 | |||
| 249 | template<typename Scalar, int Options, typename MotionDerived> | ||
| 250 | struct MotionAlgebraAction< | ||
| 251 | JointMotionSubspaceRevoluteUnalignedTpl<Scalar, Options>, | ||
| 252 | MotionDerived> | ||
| 253 | { | ||
| 254 | typedef Eigen::Matrix<Scalar, 6, 1, Options> ReturnType; | ||
| 255 | }; | ||
| 256 | |||
| 257 | template<typename Scalar, int Options, typename ForceDerived> | ||
| 258 | struct ConstraintForceOp<JointMotionSubspaceRevoluteUnalignedTpl<Scalar, Options>, ForceDerived> | ||
| 259 | { | ||
| 260 | typedef | ||
| 261 | typename traits<JointMotionSubspaceRevoluteUnalignedTpl<Scalar, Options>>::Vector3 Vector3; | ||
| 262 | typedef Eigen::Matrix< | ||
| 263 | typename PINOCCHIO_EIGEN_DOT_PRODUCT_RETURN_TYPE( | ||
| 264 | Vector3, typename ForceDense<ForceDerived>::ConstAngularType), | ||
| 265 | 1, | ||
| 266 | 1, | ||
| 267 | Options> | ||
| 268 | ReturnType; | ||
| 269 | }; | ||
| 270 | |||
| 271 | template<typename Scalar, int Options, typename ForceSet> | ||
| 272 | struct ConstraintForceSetOp<JointMotionSubspaceRevoluteUnalignedTpl<Scalar, Options>, ForceSet> | ||
| 273 | { | ||
| 274 | typedef | ||
| 275 | typename traits<JointMotionSubspaceRevoluteUnalignedTpl<Scalar, Options>>::Vector3 Vector3; | ||
| 276 | typedef typename MatrixMatrixProduct< | ||
| 277 | Eigen::Transpose<const Vector3>, | ||
| 278 | typename Eigen::MatrixBase<const ForceSet>::template NRowsBlockXpr<3>::Type>::type ReturnType; | ||
| 279 | }; | ||
| 280 | |||
| 281 | template<typename _Scalar, int _Options> | ||
| 282 | struct JointMotionSubspaceRevoluteUnalignedTpl | ||
| 283 | : JointMotionSubspaceBase<JointMotionSubspaceRevoluteUnalignedTpl<_Scalar, _Options>> | ||
| 284 | { | ||
| 285 | EIGEN_MAKE_ALIGNED_OPERATOR_NEW | ||
| 286 | PINOCCHIO_CONSTRAINT_TYPEDEF_TPL(JointMotionSubspaceRevoluteUnalignedTpl) | ||
| 287 | |||
| 288 | enum | ||
| 289 | { | ||
| 290 | NV = 1 | ||
| 291 | }; | ||
| 292 | |||
| 293 | typedef typename traits<JointMotionSubspaceRevoluteUnalignedTpl>::Vector3 Vector3; | ||
| 294 | |||
| 295 | 14 | JointMotionSubspaceRevoluteUnalignedTpl() | |
| 296 | 14 | { | |
| 297 | 14 | } | |
| 298 | |||
| 299 | template<typename Vector3Like> | ||
| 300 | 3308 | JointMotionSubspaceRevoluteUnalignedTpl(const Eigen::MatrixBase<Vector3Like> & axis) | |
| 301 | 3308 | : m_axis(axis) | |
| 302 | { | ||
| 303 | 3308 | } | |
| 304 | |||
| 305 | template<typename Vector1Like> | ||
| 306 | 5 | JointMotion __mult__(const Eigen::MatrixBase<Vector1Like> & v) const | |
| 307 | { | ||
| 308 | EIGEN_STATIC_ASSERT_VECTOR_SPECIFIC_SIZE(Vector1Like, 1); | ||
| 309 |
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8 | return JointMotion(m_axis, v[0]); |
| 310 | } | ||
| 311 | |||
| 312 | template<typename S1, int O1> | ||
| 313 | typename SE3GroupAction<JointMotionSubspaceRevoluteUnalignedTpl>::ReturnType | ||
| 314 | 15 | se3Action(const SE3Tpl<S1, O1> & m) const | |
| 315 | { | ||
| 316 | typedef | ||
| 317 | typename SE3GroupAction<JointMotionSubspaceRevoluteUnalignedTpl>::ReturnType ReturnType; | ||
| 318 | |||
| 319 | /* X*S = [ R pxR ; 0 R ] [ 0 ; a ] = [ px(Ra) ; Ra ] */ | ||
| 320 | 15 | ReturnType res; | |
| 321 |
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15 | res.template segment<3>(ANGULAR).noalias() = m.rotation() * m_axis; |
| 322 |
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15 | res.template segment<3>(LINEAR).noalias() = |
| 323 |
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15 | m.translation().cross(res.template segment<3>(ANGULAR)); |
| 324 | 15 | return res; | |
| 325 | } | ||
| 326 | |||
| 327 | template<typename S1, int O1> | ||
| 328 | typename SE3GroupAction<JointMotionSubspaceRevoluteUnalignedTpl>::ReturnType | ||
| 329 | 13 | se3ActionInverse(const SE3Tpl<S1, O1> & m) const | |
| 330 | { | ||
| 331 | typedef | ||
| 332 | typename SE3GroupAction<JointMotionSubspaceRevoluteUnalignedTpl>::ReturnType ReturnType; | ||
| 333 | |||
| 334 | 13 | ReturnType res; | |
| 335 |
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13 | res.template segment<3>(ANGULAR).noalias() = m.rotation().transpose() * m_axis; |
| 336 |
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13 | res.template segment<3>(LINEAR).noalias() = |
| 337 |
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13 | -m.rotation().transpose() * m.translation().cross(m_axis); |
| 338 | 13 | return res; | |
| 339 | } | ||
| 340 | |||
| 341 | 36 | int nv_impl() const | |
| 342 | { | ||
| 343 | 36 | return NV; | |
| 344 | } | ||
| 345 | |||
| 346 | struct TransposeConst | ||
| 347 | : JointMotionSubspaceTransposeBase<JointMotionSubspaceRevoluteUnalignedTpl> | ||
| 348 | { | ||
| 349 | const JointMotionSubspaceRevoluteUnalignedTpl & ref; | ||
| 350 | 11 | TransposeConst(const JointMotionSubspaceRevoluteUnalignedTpl & ref) | |
| 351 | 11 | : ref(ref) | |
| 352 | { | ||
| 353 | 11 | } | |
| 354 | |||
| 355 | template<typename ForceDerived> | ||
| 356 | typename ConstraintForceOp<JointMotionSubspaceRevoluteUnalignedTpl, ForceDerived>::ReturnType | ||
| 357 | 6 | operator*(const ForceDense<ForceDerived> & f) const | |
| 358 | { | ||
| 359 | typedef typename ConstraintForceOp< | ||
| 360 | JointMotionSubspaceRevoluteUnalignedTpl, ForceDerived>::ReturnType ReturnType; | ||
| 361 | 6 | ReturnType res; | |
| 362 |
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6 | res[0] = ref.axis().dot(f.angular()); |
| 363 | 6 | return res; | |
| 364 | } | ||
| 365 | |||
| 366 | /* [CRBA] MatrixBase operator* (Constraint::Transpose S, ForceSet::Block) */ | ||
| 367 | template<typename ForceSet> | ||
| 368 | typename ConstraintForceSetOp<JointMotionSubspaceRevoluteUnalignedTpl, ForceSet>::ReturnType | ||
| 369 | 3 | operator*(const Eigen::MatrixBase<ForceSet> & F) | |
| 370 | { | ||
| 371 | EIGEN_STATIC_ASSERT( | ||
| 372 | ForceSet::RowsAtCompileTime == 6, THIS_METHOD_IS_ONLY_FOR_MATRICES_OF_A_SPECIFIC_SIZE) | ||
| 373 | /* Return ax.T * F[3:end,:] */ | ||
| 374 |
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3 | return ref.axis().transpose() * F.template middleRows<3>(ANGULAR); |
| 375 | } | ||
| 376 | }; | ||
| 377 | |||
| 378 | 11 | TransposeConst transpose() const | |
| 379 | { | ||
| 380 | 11 | return TransposeConst(*this); | |
| 381 | } | ||
| 382 | |||
| 383 | /* CRBA joint operators | ||
| 384 | * - ForceSet::Block = ForceSet | ||
| 385 | * - ForceSet operator* (Inertia Y,Constraint S) | ||
| 386 | * - MatrixBase operator* (Constraint::Transpose S, ForceSet::Block) | ||
| 387 | * - SE3::act(ForceSet::Block) | ||
| 388 | */ | ||
| 389 | 36 | DenseBase matrix_impl() const | |
| 390 | { | ||
| 391 | 36 | DenseBase S; | |
| 392 |
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36 | S.template segment<3>(LINEAR).setZero(); |
| 393 |
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36 | S.template segment<3>(ANGULAR) = m_axis; |
| 394 | 36 | return S; | |
| 395 | } | ||
| 396 | |||
| 397 | template<typename MotionDerived> | ||
| 398 | typename MotionAlgebraAction<JointMotionSubspaceRevoluteUnalignedTpl, MotionDerived>::ReturnType | ||
| 399 | 4 | motionAction(const MotionDense<MotionDerived> & m) const | |
| 400 | { | ||
| 401 |
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4 | const typename MotionDerived::ConstLinearType v = m.linear(); |
| 402 |
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4 | const typename MotionDerived::ConstAngularType w = m.angular(); |
| 403 | |||
| 404 |
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4 | DenseBase res; |
| 405 |
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4 | res.template segment<3>(LINEAR).noalias() = v.cross(m_axis); |
| 406 |
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4 | res.template segment<3>(ANGULAR).noalias() = w.cross(m_axis); |
| 407 | |||
| 408 | 8 | return res; | |
| 409 | } | ||
| 410 | |||
| 411 | 23 | const Vector3 & axis() const | |
| 412 | { | ||
| 413 | 23 | return m_axis; | |
| 414 | } | ||
| 415 | 56 | Vector3 & axis() | |
| 416 | { | ||
| 417 | 56 | return m_axis; | |
| 418 | } | ||
| 419 | |||
| 420 | 34 | bool isEqual(const JointMotionSubspaceRevoluteUnalignedTpl & other) const | |
| 421 | { | ||
| 422 | 34 | return internal::comparison_eq(m_axis, other.m_axis); | |
| 423 | } | ||
| 424 | |||
| 425 | protected: | ||
| 426 | Vector3 m_axis; | ||
| 427 | |||
| 428 | }; // struct JointMotionSubspaceRevoluteUnalignedTpl | ||
| 429 | |||
| 430 | template<typename S1, int O1, typename S2, int O2> | ||
| 431 | struct MultiplicationOp<InertiaTpl<S1, O1>, JointMotionSubspaceRevoluteUnalignedTpl<S2, O2>> | ||
| 432 | { | ||
| 433 | typedef Eigen::Matrix<S2, 6, 1, O2> ReturnType; | ||
| 434 | }; | ||
| 435 | |||
| 436 | /* [CRBA] ForceSet operator* (Inertia Y,Constraint S) */ | ||
| 437 | namespace impl | ||
| 438 | { | ||
| 439 | template<typename S1, int O1, typename S2, int O2> | ||
| 440 | struct LhsMultiplicationOp<InertiaTpl<S1, O1>, JointMotionSubspaceRevoluteUnalignedTpl<S2, O2>> | ||
| 441 | { | ||
| 442 | typedef InertiaTpl<S1, O1> Inertia; | ||
| 443 | typedef JointMotionSubspaceRevoluteUnalignedTpl<S2, O2> Constraint; | ||
| 444 | typedef typename MultiplicationOp<Inertia, Constraint>::ReturnType ReturnType; | ||
| 445 | 5 | static inline ReturnType run(const Inertia & Y, const Constraint & cru) | |
| 446 | { | ||
| 447 |
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5 | ReturnType res; |
| 448 | |||
| 449 | /* YS = [ m -mcx ; mcx I-mcxcx ] [ 0 ; w ] = [ mcxw ; Iw -mcxcxw ] */ | ||
| 450 |
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5 | const typename Inertia::Scalar & m = Y.mass(); |
| 451 | 5 | const typename Inertia::Vector3 & c = Y.lever(); | |
| 452 | 5 | const typename Inertia::Symmetric3 & I = Y.inertia(); | |
| 453 | |||
| 454 |
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5 | res.template segment<3>(Inertia::LINEAR) = -m * c.cross(cru.axis()); |
| 455 |
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5 | res.template segment<3>(Inertia::ANGULAR).noalias() = I * cru.axis(); |
| 456 |
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5 | res.template segment<3>(Inertia::ANGULAR) += |
| 457 |
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5 | c.cross(res.template segment<3>(Inertia::LINEAR)); |
| 458 | |||
| 459 | 10 | return res; | |
| 460 | } | ||
| 461 | }; | ||
| 462 | } // namespace impl | ||
| 463 | |||
| 464 | template<typename M6Like, typename Scalar, int Options> | ||
| 465 | struct MultiplicationOp< | ||
| 466 | Eigen::MatrixBase<M6Like>, | ||
| 467 | JointMotionSubspaceRevoluteUnalignedTpl<Scalar, Options>> | ||
| 468 | { | ||
| 469 | typedef typename SizeDepType<3>::ColsReturn<M6Like>::ConstType M6LikeCols; | ||
| 470 | typedef typename Eigen::internal::remove_const<M6LikeCols>::type M6LikeColsNonConst; | ||
| 471 | |||
| 472 | typedef JointMotionSubspaceRevoluteUnalignedTpl<Scalar, Options> Constraint; | ||
| 473 | typedef typename Constraint::Vector3 Vector3; | ||
| 474 | typedef const typename MatrixMatrixProduct<M6LikeColsNonConst, Vector3>::type ReturnType; | ||
| 475 | }; | ||
| 476 | |||
| 477 | /* [ABA] operator* (Inertia Y,Constraint S) */ | ||
| 478 | namespace impl | ||
| 479 | { | ||
| 480 | template<typename M6Like, typename Scalar, int Options> | ||
| 481 | struct LhsMultiplicationOp< | ||
| 482 | Eigen::MatrixBase<M6Like>, | ||
| 483 | JointMotionSubspaceRevoluteUnalignedTpl<Scalar, Options>> | ||
| 484 | { | ||
| 485 | typedef JointMotionSubspaceRevoluteUnalignedTpl<Scalar, Options> Constraint; | ||
| 486 | typedef | ||
| 487 | typename MultiplicationOp<Eigen::MatrixBase<M6Like>, Constraint>::ReturnType ReturnType; | ||
| 488 | |||
| 489 | 4 | static inline ReturnType run(const Eigen::MatrixBase<M6Like> & Y, const Constraint & cru) | |
| 490 | { | ||
| 491 | EIGEN_STATIC_ASSERT_MATRIX_SPECIFIC_SIZE(M6Like, 6, 6); | ||
| 492 |
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4 | return Y.derived().template middleCols<3>(Constraint::ANGULAR) * cru.axis(); |
| 493 | } | ||
| 494 | }; | ||
| 495 | } // namespace impl | ||
| 496 | |||
| 497 | template<typename Scalar, int Options> | ||
| 498 | struct JointRevoluteUnalignedTpl; | ||
| 499 | |||
| 500 | template<typename _Scalar, int _Options> | ||
| 501 | struct traits<JointRevoluteUnalignedTpl<_Scalar, _Options>> | ||
| 502 | { | ||
| 503 | enum | ||
| 504 | { | ||
| 505 | NQ = 1, | ||
| 506 | NV = 1, | ||
| 507 | NVExtended = 1 | ||
| 508 | }; | ||
| 509 | typedef _Scalar Scalar; | ||
| 510 | enum | ||
| 511 | { | ||
| 512 | Options = _Options | ||
| 513 | }; | ||
| 514 | typedef JointDataRevoluteUnalignedTpl<Scalar, Options> JointDataDerived; | ||
| 515 | typedef JointModelRevoluteUnalignedTpl<Scalar, Options> JointModelDerived; | ||
| 516 | typedef JointMotionSubspaceRevoluteUnalignedTpl<Scalar, Options> Constraint_t; | ||
| 517 | typedef SE3Tpl<Scalar, Options> Transformation_t; | ||
| 518 | typedef MotionRevoluteUnalignedTpl<Scalar, Options> Motion_t; | ||
| 519 | typedef MotionZeroTpl<Scalar, Options> Bias_t; | ||
| 520 | |||
| 521 | // [ABA] | ||
| 522 | typedef Eigen::Matrix<Scalar, 6, NV, Options> U_t; | ||
| 523 | typedef Eigen::Matrix<Scalar, NV, NV, Options> D_t; | ||
| 524 | typedef Eigen::Matrix<Scalar, 6, NV, Options> UD_t; | ||
| 525 | |||
| 526 | typedef Eigen::Matrix<Scalar, NQ, 1, Options> ConfigVector_t; | ||
| 527 | typedef Eigen::Matrix<Scalar, NV, 1, Options> TangentVector_t; | ||
| 528 | |||
| 529 | typedef boost::mpl::true_ is_mimicable_t; | ||
| 530 | |||
| 531 | PINOCCHIO_JOINT_DATA_BASE_ACCESSOR_DEFAULT_RETURN_TYPE | ||
| 532 | }; | ||
| 533 | |||
| 534 | template<typename _Scalar, int _Options> | ||
| 535 | struct traits<JointDataRevoluteUnalignedTpl<_Scalar, _Options>> | ||
| 536 | { | ||
| 537 | typedef JointRevoluteUnalignedTpl<_Scalar, _Options> JointDerived; | ||
| 538 | typedef _Scalar Scalar; | ||
| 539 | }; | ||
| 540 | |||
| 541 | template<typename _Scalar, int _Options> | ||
| 542 | struct traits<JointModelRevoluteUnalignedTpl<_Scalar, _Options>> | ||
| 543 | { | ||
| 544 | typedef JointRevoluteUnalignedTpl<_Scalar, _Options> JointDerived; | ||
| 545 | typedef _Scalar Scalar; | ||
| 546 | }; | ||
| 547 | |||
| 548 | template<typename _Scalar, int _Options> | ||
| 549 | struct JointDataRevoluteUnalignedTpl | ||
| 550 | : public JointDataBase<JointDataRevoluteUnalignedTpl<_Scalar, _Options>> | ||
| 551 | { | ||
| 552 | EIGEN_MAKE_ALIGNED_OPERATOR_NEW | ||
| 553 | typedef JointRevoluteUnalignedTpl<_Scalar, _Options> JointDerived; | ||
| 554 | PINOCCHIO_JOINT_DATA_TYPEDEF_TEMPLATE(JointDerived); | ||
| 555 | 963 | PINOCCHIO_JOINT_DATA_BASE_DEFAULT_ACCESSOR | |
| 556 | |||
| 557 | ConfigVector_t joint_q; | ||
| 558 | TangentVector_t joint_v; | ||
| 559 | |||
| 560 | Transformation_t M; | ||
| 561 | Constraint_t S; | ||
| 562 | Motion_t v; | ||
| 563 | Bias_t c; | ||
| 564 | |||
| 565 | // [ABA] specific data | ||
| 566 | U_t U; | ||
| 567 | D_t Dinv; | ||
| 568 | UD_t UDinv; | ||
| 569 | D_t StU; | ||
| 570 | |||
| 571 | 79 | JointDataRevoluteUnalignedTpl() | |
| 572 |
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79 | : joint_q(ConfigVector_t::Zero()) |
| 573 |
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79 | , joint_v(TangentVector_t::Zero()) |
| 574 |
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79 | , M(Transformation_t::Identity()) |
| 575 |
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79 | , S(Constraint_t::Vector3::Zero()) |
| 576 |
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79 | , v(Constraint_t::Vector3::Zero(), (Scalar)0) |
| 577 |
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79 | , U(U_t::Zero()) |
| 578 |
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79 | , Dinv(D_t::Zero()) |
| 579 |
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79 | , UDinv(UD_t::Zero()) |
| 580 |
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158 | , StU(D_t::Zero()) |
| 581 | { | ||
| 582 | 79 | } | |
| 583 | |||
| 584 | template<typename Vector3Like> | ||
| 585 | 3106 | JointDataRevoluteUnalignedTpl(const Eigen::MatrixBase<Vector3Like> & axis) | |
| 586 |
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3106 | : joint_q(ConfigVector_t::Zero()) |
| 587 |
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3106 | , joint_v(TangentVector_t::Zero()) |
| 588 |
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3106 | , M(Transformation_t::Identity()) |
| 589 |
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3106 | , S(axis) |
| 590 |
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3106 | , v(axis, (Scalar)NAN) |
| 591 |
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3106 | , U(U_t::Zero()) |
| 592 |
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3106 | , Dinv(D_t::Zero()) |
| 593 |
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3106 | , UDinv(UD_t::Zero()) |
| 594 |
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6212 | , StU(D_t::Zero()) |
| 595 | { | ||
| 596 | 3106 | } | |
| 597 | |||
| 598 | 150 | static std::string classname() | |
| 599 | { | ||
| 600 |
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150 | return std::string("JointDataRevoluteUnaligned"); |
| 601 | } | ||
| 602 | 3 | std::string shortname() const | |
| 603 | { | ||
| 604 | 3 | return classname(); | |
| 605 | } | ||
| 606 | |||
| 607 | }; // struct JointDataRevoluteUnalignedTpl | ||
| 608 | |||
| 609 | PINOCCHIO_JOINT_CAST_TYPE_SPECIALIZATION(JointModelRevoluteUnalignedTpl); | ||
| 610 | template<typename _Scalar, int _Options> | ||
| 611 | struct JointModelRevoluteUnalignedTpl | ||
| 612 | : public JointModelBase<JointModelRevoluteUnalignedTpl<_Scalar, _Options>> | ||
| 613 | { | ||
| 614 | EIGEN_MAKE_ALIGNED_OPERATOR_NEW | ||
| 615 | typedef JointRevoluteUnalignedTpl<_Scalar, _Options> JointDerived; | ||
| 616 | PINOCCHIO_JOINT_TYPEDEF_TEMPLATE(JointDerived); | ||
| 617 | typedef Eigen::Matrix<Scalar, 3, 1, _Options> Vector3; | ||
| 618 | |||
| 619 | typedef JointModelBase<JointModelRevoluteUnalignedTpl> Base; | ||
| 620 | using Base::id; | ||
| 621 | using Base::idx_q; | ||
| 622 | using Base::idx_v; | ||
| 623 | using Base::idx_vExtended; | ||
| 624 | using Base::setIndexes; | ||
| 625 | |||
| 626 | 119 | JointModelRevoluteUnalignedTpl() | |
| 627 |
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119 | : axis(Vector3::UnitX()) |
| 628 | { | ||
| 629 | 119 | } | |
| 630 | |||
| 631 | 24 | JointModelRevoluteUnalignedTpl(const Scalar & x, const Scalar & y, const Scalar & z) | |
| 632 | 24 | : axis(x, y, z) | |
| 633 | { | ||
| 634 |
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24 | normalize(axis); |
| 635 |
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24 | assert(isUnitary(axis) && "Rotation axis is not unitary"); |
| 636 | 24 | } | |
| 637 | |||
| 638 | template<typename Vector3Like> | ||
| 639 | 362 | JointModelRevoluteUnalignedTpl(const Eigen::MatrixBase<Vector3Like> & axis) | |
| 640 | 362 | : axis(axis) | |
| 641 | { | ||
| 642 | EIGEN_STATIC_ASSERT_VECTOR_ONLY(Vector3Like); | ||
| 643 |
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362 | assert(isUnitary(axis) && "Rotation axis is not unitary"); |
| 644 | 362 | } | |
| 645 | |||
| 646 | 3106 | JointDataDerived createData() const | |
| 647 | { | ||
| 648 | 3106 | return JointDataDerived(axis); | |
| 649 | } | ||
| 650 | |||
| 651 | using Base::isEqual; | ||
| 652 | 136 | bool isEqual(const JointModelRevoluteUnalignedTpl & other) const | |
| 653 | { | ||
| 654 |
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136 | return Base::isEqual(other) && internal::comparison_eq(axis, other.axis); |
| 655 | } | ||
| 656 | |||
| 657 | ✗ | const std::vector<bool> hasConfigurationLimit() const | |
| 658 | { | ||
| 659 | ✗ | return {true}; | |
| 660 | } | ||
| 661 | |||
| 662 | ✗ | const std::vector<bool> hasConfigurationLimitInTangent() const | |
| 663 | { | ||
| 664 | ✗ | return {true}; | |
| 665 | } | ||
| 666 | |||
| 667 | template<typename ConfigVector> | ||
| 668 | 6200 | void calc(JointDataDerived & data, const typename Eigen::MatrixBase<ConfigVector> & qs) const | |
| 669 | { | ||
| 670 |
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6200 | data.joint_q[0] = qs[idx_q()]; |
| 671 | |||
| 672 | 6200 | toRotationMatrix(axis, data.joint_q[0], data.M.rotation()); | |
| 673 | 6200 | } | |
| 674 | |||
| 675 | template<typename TangentVector> | ||
| 676 | void | ||
| 677 | 1 | calc(JointDataDerived & data, const Blank, const typename Eigen::MatrixBase<TangentVector> & vs) | |
| 678 | const | ||
| 679 | { | ||
| 680 | 1 | data.v.angularRate() = static_cast<Scalar>(vs[idx_v()]); | |
| 681 | 1 | } | |
| 682 | |||
| 683 | template<typename ConfigVector, typename TangentVector> | ||
| 684 | 1061 | void calc( | |
| 685 | JointDataDerived & data, | ||
| 686 | const typename Eigen::MatrixBase<ConfigVector> & qs, | ||
| 687 | const typename Eigen::MatrixBase<TangentVector> & vs) const | ||
| 688 | { | ||
| 689 | 1061 | calc(data, qs.derived()); | |
| 690 | |||
| 691 |
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1061 | data.v.angularRate() = static_cast<Scalar>(vs[idx_v()]); |
| 692 | 1061 | } | |
| 693 | |||
| 694 | template<typename VectorLike, typename Matrix6Like> | ||
| 695 | 8 | void calc_aba( | |
| 696 | JointDataDerived & data, | ||
| 697 | const Eigen::MatrixBase<VectorLike> & armature, | ||
| 698 | const Eigen::MatrixBase<Matrix6Like> & I, | ||
| 699 | const bool update_I) const | ||
| 700 | { | ||
| 701 |
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8 | data.U.noalias() = I.template middleCols<3>(Motion::ANGULAR) * axis; |
| 702 |
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16 | data.Dinv[0] = |
| 703 |
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8 | Scalar(1) / (axis.dot(data.U.template segment<3>(Motion::ANGULAR)) + armature[0]); |
| 704 |
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8 | data.UDinv.noalias() = data.U * data.Dinv; |
| 705 | |||
| 706 |
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8 | if (update_I) |
| 707 |
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3 | PINOCCHIO_EIGEN_CONST_CAST(Matrix6Like, I).noalias() -= data.UDinv * data.U.transpose(); |
| 708 | 8 | } | |
| 709 | |||
| 710 | 19557 | static std::string classname() | |
| 711 | { | ||
| 712 |
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19557 | return std::string("JointModelRevoluteUnaligned"); |
| 713 | } | ||
| 714 | 19409 | std::string shortname() const | |
| 715 | { | ||
| 716 | 19409 | return classname(); | |
| 717 | } | ||
| 718 | |||
| 719 | /// \returns An expression of *this with the Scalar type casted to NewScalar. | ||
| 720 | template<typename NewScalar> | ||
| 721 | 5 | JointModelRevoluteUnalignedTpl<NewScalar, Options> cast() const | |
| 722 | { | ||
| 723 | typedef JointModelRevoluteUnalignedTpl<NewScalar, Options> ReturnType; | ||
| 724 |
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5 | ReturnType res(axis.template cast<NewScalar>()); |
| 725 |
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5 | res.setIndexes(id(), idx_q(), idx_v(), idx_vExtended()); |
| 726 | 5 | return res; | |
| 727 | } | ||
| 728 | |||
| 729 | // data | ||
| 730 | |||
| 731 | /// | ||
| 732 | /// \brief 3d main axis of the joint. | ||
| 733 | /// | ||
| 734 | Vector3 axis; | ||
| 735 | }; // struct JointModelRevoluteUnalignedTpl | ||
| 736 | |||
| 737 | template<typename Scalar, int Options> | ||
| 738 | struct ConfigVectorAffineTransform<JointRevoluteUnalignedTpl<Scalar, Options>> | ||
| 739 | { | ||
| 740 | typedef LinearAffineTransform Type; | ||
| 741 | }; | ||
| 742 | } // namespace pinocchio | ||
| 743 | |||
| 744 | #include <boost/type_traits.hpp> | ||
| 745 | |||
| 746 | namespace boost | ||
| 747 | { | ||
| 748 | template<typename Scalar, int Options> | ||
| 749 | struct has_nothrow_constructor<::pinocchio::JointModelRevoluteUnalignedTpl<Scalar, Options>> | ||
| 750 | : public integral_constant<bool, true> | ||
| 751 | { | ||
| 752 | }; | ||
| 753 | |||
| 754 | template<typename Scalar, int Options> | ||
| 755 | struct has_nothrow_copy<::pinocchio::JointModelRevoluteUnalignedTpl<Scalar, Options>> | ||
| 756 | : public integral_constant<bool, true> | ||
| 757 | { | ||
| 758 | }; | ||
| 759 | |||
| 760 | template<typename Scalar, int Options> | ||
| 761 | struct has_nothrow_constructor<::pinocchio::JointDataRevoluteUnalignedTpl<Scalar, Options>> | ||
| 762 | : public integral_constant<bool, true> | ||
| 763 | { | ||
| 764 | }; | ||
| 765 | |||
| 766 | template<typename Scalar, int Options> | ||
| 767 | struct has_nothrow_copy<::pinocchio::JointDataRevoluteUnalignedTpl<Scalar, Options>> | ||
| 768 | : public integral_constant<bool, true> | ||
| 769 | { | ||
| 770 | }; | ||
| 771 | } // namespace boost | ||
| 772 | |||
| 773 | #endif // ifndef __pinocchio_multibody_joint_revolute_unaligned_hpp__ | ||
| 774 |