| Directory: | ./ |
|---|---|
| File: | unittest/aba.cpp |
| Date: | 2025-02-12 21:03:38 |
| Exec | Total | Coverage | |
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| Lines: | 212 | 212 | 100.0% |
| Branches: | 724 | 1440 | 50.3% |
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| 1 | // | ||
| 2 | // Copyright (c) 2016-2021 CNRS INRIA | ||
| 3 | // | ||
| 4 | |||
| 5 | #include "pinocchio/algorithm/aba.hpp" | ||
| 6 | #include "pinocchio/algorithm/rnea.hpp" | ||
| 7 | #include "pinocchio/algorithm/jacobian.hpp" | ||
| 8 | #include "pinocchio/algorithm/joint-configuration.hpp" | ||
| 9 | #include "pinocchio/algorithm/crba.hpp" | ||
| 10 | #include "pinocchio/multibody/sample-models.hpp" | ||
| 11 | |||
| 12 | #include "pinocchio/algorithm/compute-all-terms.hpp" | ||
| 13 | #include "pinocchio/utils/timer.hpp" | ||
| 14 | |||
| 15 | #include <iostream> | ||
| 16 | |||
| 17 | #include <boost/test/unit_test.hpp> | ||
| 18 | #include <boost/utility/binary.hpp> | ||
| 19 | |||
| 20 | BOOST_AUTO_TEST_SUITE(BOOST_TEST_MODULE) | ||
| 21 | |||
| 22 | template<typename JointModel> | ||
| 23 | 32 | void test_joint_methods(const pinocchio::JointModelBase<JointModel> & jmodel) | |
| 24 | { | ||
| 25 |
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32 | std::cout << "shortname: " << jmodel.shortname() << std::endl; |
| 26 | typedef typename pinocchio::JointModelBase<JointModel>::JointDataDerived JointData; | ||
| 27 | typedef typename JointModel::ConfigVector_t ConfigVector_t; | ||
| 28 | typedef typename pinocchio::LieGroup<JointModel>::type LieGroupType; | ||
| 29 | |||
| 30 |
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32 | JointData jdata = jmodel.createData(); |
| 31 | |||
| 32 |
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32 | ConfigVector_t ql(ConfigVector_t::Constant(jmodel.nq(), -M_PI)); |
| 33 |
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32 | ConfigVector_t qu(ConfigVector_t::Constant(jmodel.nq(), M_PI)); |
| 34 | |||
| 35 |
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32 | ConfigVector_t q = LieGroupType().randomConfiguration(ql, qu); |
| 36 |
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32 | pinocchio::Inertia::Matrix6 I(pinocchio::Inertia::Random().matrix()); |
| 37 |
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32 | pinocchio::Inertia::Matrix6 I_check = I; |
| 38 |
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32 | const Eigen::VectorXd armature = |
| 39 |
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32 | Eigen::VectorXd::Random(jmodel.nv()) + Eigen::VectorXd::Ones(jmodel.nv()); |
| 40 | |||
| 41 |
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32 | jmodel.calc(jdata, q); |
| 42 |
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32 | jmodel.calc_aba(jdata, armature, I, true); |
| 43 | |||
| 44 |
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32 | std::cout << "armature: " << armature.transpose() << std::endl; |
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32 | Eigen::MatrixXd S = jdata.S.matrix(); |
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32 | Eigen::MatrixXd U_check = I_check * S; |
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32 | Eigen::MatrixXd StU_check = S.transpose() * U_check; |
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32 | StU_check.diagonal() += armature; |
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32 | Eigen::MatrixXd Dinv_check = StU_check.inverse(); |
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32 | Eigen::MatrixXd UDinv_check = U_check * Dinv_check; |
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32 | Eigen::MatrixXd update_check = UDinv_check * U_check.transpose(); |
| 52 |
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32 | I_check -= update_check; |
| 53 | |||
| 54 |
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32 | std::cout << "I_check:\n" << I_check << std::endl; |
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32 | std::cout << "I:\n" << I << std::endl; |
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32 | BOOST_CHECK(jdata.U.isApprox(U_check)); |
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32 | BOOST_CHECK(jdata.Dinv.isApprox(Dinv_check)); |
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32 | BOOST_CHECK(jdata.UDinv.isApprox(UDinv_check)); |
| 59 | |||
| 60 | // Checking the inertia was correctly updated | ||
| 61 | // We use isApprox as usual, except for the freeflyer, | ||
| 62 | // where the correct result is exacly zero and isApprox would fail. | ||
| 63 | // Only for this single case, we use the infinity norm of the difference | ||
| 64 |
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32 | if (jmodel.shortname() == "JointModelFreeFlyer") |
| 65 |
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2 | BOOST_CHECK((I - I_check).isZero()); |
| 66 | else | ||
| 67 |
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30 | BOOST_CHECK(I.isApprox(I_check)); |
| 68 | 32 | } | |
| 69 | |||
| 70 | struct TestJointMethods | ||
| 71 | { | ||
| 72 | |||
| 73 | template<typename JointModel> | ||
| 74 | 28 | void operator()(const pinocchio::JointModelBase<JointModel> &) const | |
| 75 | { | ||
| 76 |
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28 | JointModel jmodel; |
| 77 |
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28 | jmodel.setIndexes(0, 0, 0); |
| 78 | |||
| 79 |
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28 | test_joint_methods(jmodel); |
| 80 | 28 | } | |
| 81 | |||
| 82 | void operator()(const pinocchio::JointModelBase<pinocchio::JointModelComposite> &) const | ||
| 83 | { | ||
| 84 | pinocchio::JointModelComposite jmodel_composite; | ||
| 85 | jmodel_composite.addJoint(pinocchio::JointModelRX()); | ||
| 86 | jmodel_composite.addJoint(pinocchio::JointModelRY()); | ||
| 87 | jmodel_composite.setIndexes(0, 0, 0); | ||
| 88 | |||
| 89 | // TODO: correct LieGroup | ||
| 90 | // test_joint_methods(jmodel_composite); | ||
| 91 | } | ||
| 92 | |||
| 93 | 1 | void operator()(const pinocchio::JointModelBase<pinocchio::JointModelRevoluteUnaligned> &) const | |
| 94 | { | ||
| 95 |
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1 | pinocchio::JointModelRevoluteUnaligned jmodel(1.5, 1., 0.); |
| 96 |
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1 | jmodel.setIndexes(0, 0, 0); |
| 97 | |||
| 98 |
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1 | test_joint_methods(jmodel); |
| 99 | 1 | } | |
| 100 | |||
| 101 | 1 | void operator()(const pinocchio::JointModelBase<pinocchio::JointModelPrismaticUnaligned> &) const | |
| 102 | { | ||
| 103 |
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1 | pinocchio::JointModelPrismaticUnaligned jmodel(1.5, 1., 0.); |
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1 | jmodel.setIndexes(0, 0, 0); |
| 105 | |||
| 106 |
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1 | test_joint_methods(jmodel); |
| 107 | 1 | } | |
| 108 | }; | ||
| 109 | |||
| 110 |
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4 | BOOST_AUTO_TEST_CASE(test_joint_basic) |
| 111 | { | ||
| 112 | using namespace pinocchio; | ||
| 113 | |||
| 114 | typedef boost::variant< | ||
| 115 | JointModelRX, JointModelRY, JointModelRZ, JointModelRevoluteUnaligned, JointModelSpherical, | ||
| 116 | JointModelSphericalZYX, JointModelPX, JointModelPY, JointModelPZ, JointModelPrismaticUnaligned, | ||
| 117 | JointModelFreeFlyer, JointModelPlanar, JointModelTranslation, JointModelRUBX, JointModelRUBY, | ||
| 118 | JointModelRUBZ> | ||
| 119 | Variant; | ||
| 120 | |||
| 121 | 2 | boost::mpl::for_each<Variant::types>(TestJointMethods()); | |
| 122 | 2 | } | |
| 123 | |||
| 124 |
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4 | BOOST_AUTO_TEST_CASE(test_aba_simple) |
| 125 | { | ||
| 126 | using namespace Eigen; | ||
| 127 | using namespace pinocchio; | ||
| 128 | |||
| 129 |
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2 | pinocchio::Model model; |
| 130 |
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2 | buildModels::humanoidRandom(model); |
| 131 | |||
| 132 |
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2 | pinocchio::Data data(model); |
| 133 |
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2 | pinocchio::Data data_ref(model); |
| 134 | |||
| 135 |
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2 | model.lowerPositionLimit.head<7>().fill(-1.); |
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2 | model.upperPositionLimit.head<7>().fill(1.); |
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2 | VectorXd q = randomConfiguration(model); |
| 138 | |||
| 139 |
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2 | VectorXd v = VectorXd::Ones(model.nv); |
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2 | VectorXd tau = VectorXd::Zero(model.nv); |
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2 | VectorXd a = VectorXd::Ones(model.nv); |
| 142 | |||
| 143 |
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2 | tau = rnea(model, data_ref, q, v, a); |
| 144 |
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2 | forwardKinematics(model, data_ref, q); |
| 145 |
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2 | aba(model, data, q, v, tau, Convention::WORLD); |
| 146 | |||
| 147 |
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56 | for (size_t k = 1; k < (size_t)model.njoints; ++k) |
| 148 | { | ||
| 149 |
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54 | BOOST_CHECK(data_ref.liMi[k].isApprox(data.liMi[k])); |
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54 | BOOST_CHECK(data_ref.oMi[k].act(data_ref.v[k]).isApprox(data.ov[k])); |
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54 | BOOST_CHECK((data_ref.oMi[k].act(data_ref.a_gf[k])).isApprox(data.oa_gf[k])); |
| 152 | } | ||
| 153 | |||
| 154 |
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2 | BOOST_CHECK(data.ddq.isApprox(a, 1e-12)); |
| 155 | |||
| 156 | // Test against deprecated ABA | ||
| 157 |
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2 | Data data_deprecated(model); |
| 158 |
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2 | aba(model, data_deprecated, q, v, tau, Convention::LOCAL); |
| 159 |
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2 | BOOST_CHECK(data_deprecated.ddq.isApprox(data.ddq)); |
| 160 | |||
| 161 | // Test multiple calls | ||
| 162 | { | ||
| 163 |
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2 | Data datas(model); |
| 164 |
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2 | VectorXd a1 = aba(model, datas, q, v, tau, Convention::LOCAL); |
| 165 |
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2 | VectorXd a2 = aba(model, datas, q, v, tau, Convention::LOCAL); |
| 166 |
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2 | VectorXd a3 = aba(model, datas, q, v, tau, Convention::LOCAL); |
| 167 | |||
| 168 |
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2 | BOOST_CHECK(a1.isApprox(a2)); |
| 169 |
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2 | BOOST_CHECK(a1.isApprox(a3)); |
| 170 |
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2 | BOOST_CHECK(a2.isApprox(a3)); |
| 171 | 2 | } | |
| 172 | |||
| 173 | // Test multiple calls | ||
| 174 | { | ||
| 175 |
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2 | Data datas(model); |
| 176 |
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2 | VectorXd a1 = aba(model, datas, q, v, tau, Convention::WORLD); |
| 177 |
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2 | VectorXd a2 = aba(model, datas, q, v, tau, Convention::WORLD); |
| 178 |
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2 | VectorXd a3 = aba(model, datas, q, v, tau, Convention::WORLD); |
| 179 | |||
| 180 |
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2 | BOOST_CHECK(a1.isApprox(a2)); |
| 181 |
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2 | BOOST_CHECK(a1.isApprox(a3)); |
| 182 |
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2 | BOOST_CHECK(a2.isApprox(a3)); |
| 183 | 2 | } | |
| 184 | 2 | } | |
| 185 | |||
| 186 |
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|
4 | BOOST_AUTO_TEST_CASE(test_aba_with_fext) |
| 187 | { | ||
| 188 | using namespace Eigen; | ||
| 189 | using namespace pinocchio; | ||
| 190 | |||
| 191 |
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2 | pinocchio::Model model; |
| 192 |
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2 | buildModels::humanoidRandom(model); |
| 193 | |||
| 194 |
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2 | pinocchio::Data data(model); |
| 195 | |||
| 196 |
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2 | model.lowerPositionLimit.head<7>().fill(-1.); |
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2 | model.upperPositionLimit.head<7>().fill(1.); |
| 198 |
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2 | VectorXd q = randomConfiguration(model); |
| 199 | |||
| 200 |
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2 | VectorXd v = VectorXd::Random(model.nv); |
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2 | VectorXd a = VectorXd::Random(model.nv); |
| 202 | |||
| 203 |
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2 | PINOCCHIO_ALIGNED_STD_VECTOR(Force) fext(model.joints.size(), Force::Random()); |
| 204 | |||
| 205 |
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2 | crba(model, data, q, Convention::WORLD); |
| 206 |
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2 | computeJointJacobians(model, data, q); |
| 207 |
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2 | nonLinearEffects(model, data, q, v); |
| 208 |
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2 | data.M.triangularView<Eigen::StrictlyLower>() = |
| 209 |
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4 | data.M.transpose().triangularView<Eigen::StrictlyLower>(); |
| 210 | |||
| 211 |
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2 | VectorXd tau = data.M * a + data.nle; |
| 212 |
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2 | Data::Matrix6x J = Data::Matrix6x::Zero(6, model.nv); |
| 213 |
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56 | for (Model::Index i = 1; i < (Model::Index)model.njoints; ++i) |
| 214 | { | ||
| 215 |
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54 | getJointJacobian(model, data, i, LOCAL, J); |
| 216 |
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54 | tau -= J.transpose() * fext[i].toVector(); |
| 217 |
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54 | J.setZero(); |
| 218 | } | ||
| 219 |
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2 | aba(model, data, q, v, tau, fext, Convention::WORLD); |
| 220 | |||
| 221 |
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2 | BOOST_CHECK(data.ddq.isApprox(a, 1e-12)); |
| 222 | |||
| 223 | // Test against deprecated ABA | ||
| 224 |
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2 | Data data_deprecated(model); |
| 225 |
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2 | aba(model, data_deprecated, q, v, tau, fext, Convention::LOCAL); |
| 226 |
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2 | BOOST_CHECK(data_deprecated.ddq.isApprox(data.ddq)); |
| 227 | 2 | } | |
| 228 | |||
| 229 |
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|
4 | BOOST_AUTO_TEST_CASE(test_aba_vs_rnea) |
| 230 | { | ||
| 231 | using namespace Eigen; | ||
| 232 | using namespace pinocchio; | ||
| 233 | |||
| 234 |
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2 | pinocchio::Model model; |
| 235 |
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2 | buildModels::humanoidRandom(model); |
| 236 | |||
| 237 |
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2 | pinocchio::Data data(model); |
| 238 |
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2 | pinocchio::Data data_ref(model); |
| 239 | |||
| 240 |
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2 | model.lowerPositionLimit.head<7>().fill(-1.); |
| 241 |
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2 | model.upperPositionLimit.head<7>().fill(1.); |
| 242 |
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2 | VectorXd q = randomConfiguration(model); |
| 243 | |||
| 244 |
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2 | VectorXd v = VectorXd::Ones(model.nv); |
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2 | VectorXd tau = VectorXd::Zero(model.nv); |
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2 | VectorXd a = VectorXd::Ones(model.nv); |
| 247 | |||
| 248 |
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2 | crba(model, data_ref, q, Convention::WORLD); |
| 249 |
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2 | nonLinearEffects(model, data_ref, q, v); |
| 250 |
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2 | data_ref.M.triangularView<Eigen::StrictlyLower>() = |
| 251 |
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4 | data_ref.M.transpose().triangularView<Eigen::StrictlyLower>(); |
| 252 | |||
| 253 |
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2 | tau = data_ref.M * a + data_ref.nle; |
| 254 |
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2 | aba(model, data, q, v, tau, Convention::WORLD); |
| 255 | |||
| 256 |
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2 | VectorXd tau_ref = rnea(model, data_ref, q, v, a); |
| 257 |
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2 | BOOST_CHECK(tau_ref.isApprox(tau, 1e-12)); |
| 258 |
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2 | BOOST_CHECK(data.ddq.isApprox(a, 1e-12)); |
| 259 | |||
| 260 |
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2 | Data data_deprecated(model); |
| 261 |
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2 | aba(model, data_deprecated, q, v, tau, Convention::LOCAL); |
| 262 |
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2 | BOOST_CHECK(data_deprecated.ddq.isApprox(a, 1e-12)); |
| 263 | 2 | } | |
| 264 | |||
| 265 |
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|
4 | BOOST_AUTO_TEST_CASE(test_computeMinverse) |
| 266 | { | ||
| 267 | using namespace Eigen; | ||
| 268 | using namespace pinocchio; | ||
| 269 | |||
| 270 |
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2 | pinocchio::Model model; |
| 271 |
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2 | buildModels::humanoidRandom(model); |
| 272 |
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2 | model.gravity.setZero(); |
| 273 | |||
| 274 |
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2 | pinocchio::Data data(model); |
| 275 |
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2 | pinocchio::Data data_ref(model); |
| 276 | |||
| 277 |
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2 | model.lowerPositionLimit.head<3>().fill(-1.); |
| 278 |
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2 | model.upperPositionLimit.head<3>().fill(1.); |
| 279 |
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2 | VectorXd q = randomConfiguration(model); |
| 280 |
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2 | VectorXd v = VectorXd::Random(model.nv); |
| 281 | |||
| 282 |
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2 | crba(model, data_ref, q, Convention::WORLD); |
| 283 |
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2 | data_ref.M.triangularView<Eigen::StrictlyLower>() = |
| 284 |
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4 | data_ref.M.transpose().triangularView<Eigen::StrictlyLower>(); |
| 285 |
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2 | MatrixXd Minv_ref(data_ref.M.inverse()); |
| 286 | |||
| 287 |
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2 | computeMinverse(model, data, q); |
| 288 | |||
| 289 |
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2 | BOOST_CHECK(data.Minv.topRows<6>().isApprox(Minv_ref.topRows<6>())); |
| 290 | |||
| 291 |
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2 | data.Minv.triangularView<Eigen::StrictlyLower>() = |
| 292 |
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4 | data.Minv.transpose().triangularView<Eigen::StrictlyLower>(); |
| 293 | |||
| 294 |
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2 | BOOST_CHECK(data.Minv.isApprox(Minv_ref)); |
| 295 | |||
| 296 | // std::cout << "Minv:\n" << data.Minv.block<10,10>(0,0) << std::endl; | ||
| 297 | // std::cout << "Minv_ref:\n" << Minv_ref.block<10,10>(0,0) << std::endl; | ||
| 298 | // | ||
| 299 | // std::cout << "Minv:\n" << data.Minv.bottomRows<10>() << std::endl; | ||
| 300 | // std::cout << "Minv_ref:\n" << Minv_ref.bottomRows<10>() << std::endl; | ||
| 301 | 2 | } | |
| 302 | |||
| 303 |
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4 | BOOST_AUTO_TEST_CASE(test_computeMinverse_noupdate) |
| 304 | { | ||
| 305 | using namespace Eigen; | ||
| 306 | using namespace pinocchio; | ||
| 307 | |||
| 308 |
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2 | pinocchio::Model model; |
| 309 |
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2 | buildModels::humanoidRandom(model); |
| 310 |
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2 | model.gravity.setZero(); |
| 311 | |||
| 312 |
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2 | pinocchio::Data data(model); |
| 313 |
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2 | pinocchio::Data data_ref(model); |
| 314 | |||
| 315 |
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2 | model.lowerPositionLimit.head<3>().fill(-1.); |
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2 | model.upperPositionLimit.head<3>().fill(1.); |
| 317 |
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2 | VectorXd q = randomConfiguration(model); |
| 318 |
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2 | VectorXd v = VectorXd::Random(model.nv); |
| 319 |
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2 | VectorXd tau = VectorXd::Random(model.nv); |
| 320 | |||
| 321 |
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2 | crba(model, data_ref, q, Convention::WORLD); |
| 322 |
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2 | data_ref.M.triangularView<Eigen::StrictlyLower>() = |
| 323 |
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4 | data_ref.M.transpose().triangularView<Eigen::StrictlyLower>(); |
| 324 |
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2 | MatrixXd Minv_ref(data_ref.M.inverse()); |
| 325 | |||
| 326 |
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2 | aba(model, data, q, v, tau, Convention::WORLD); |
| 327 |
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2 | computeMinverse(model, data); |
| 328 |
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2 | BOOST_CHECK(data.Minv.topRows<6>().isApprox(Minv_ref.topRows<6>())); |
| 329 | |||
| 330 |
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2 | data.Minv.triangularView<Eigen::StrictlyLower>() = |
| 331 |
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4 | data.Minv.transpose().triangularView<Eigen::StrictlyLower>(); |
| 332 | |||
| 333 |
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2 | BOOST_CHECK(data.Minv.isApprox(Minv_ref)); |
| 334 | |||
| 335 |
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2 | Data data_ref2(model); |
| 336 |
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2 | computeMinverse(model, data_ref2, q); |
| 337 |
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2 | data_ref2.Minv.triangularView<Eigen::StrictlyLower>() = |
| 338 |
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4 | data_ref2.Minv.transpose().triangularView<Eigen::StrictlyLower>(); |
| 339 |
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2 | BOOST_CHECK(data.Minv.isApprox(data_ref2.Minv)); |
| 340 | 2 | } | |
| 341 | |||
| 342 |
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|
4 | BOOST_AUTO_TEST_CASE(test_multiple_calls) |
| 343 | { | ||
| 344 | using namespace Eigen; | ||
| 345 | using namespace pinocchio; | ||
| 346 | |||
| 347 |
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2 | Model model; |
| 348 |
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2 | buildModels::humanoidRandom(model); |
| 349 | |||
| 350 |
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2 | Data data1(model), data2(model); |
| 351 | |||
| 352 |
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2 | model.lowerPositionLimit.head<3>().fill(-1.); |
| 353 |
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2 | model.upperPositionLimit.head<3>().fill(1.); |
| 354 |
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2 | VectorXd q = randomConfiguration(model); |
| 355 | |||
| 356 |
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2 | computeMinverse(model, data1, q); |
| 357 |
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2 | data2 = data1; |
| 358 | |||
| 359 |
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42 | for (int k = 0; k < 20; ++k) |
| 360 | { | ||
| 361 |
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40 | computeMinverse(model, data1, q); |
| 362 | } | ||
| 363 | |||
| 364 |
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2 | BOOST_CHECK(data1.Minv.isApprox(data2.Minv)); |
| 365 | 2 | } | |
| 366 | |||
| 367 |
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4 | BOOST_AUTO_TEST_CASE(test_roto_inertia_effects) |
| 368 | { | ||
| 369 |
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2 | pinocchio::Model model; |
| 370 |
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2 | pinocchio::buildModels::humanoidRandom(model); |
| 371 |
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2 | model.armature = Eigen::VectorXd::Random(model.nv) + Eigen::VectorXd::Constant(model.nv, 1.); |
| 372 | |||
| 373 |
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2 | pinocchio::Data data(model), data_ref(model); |
| 374 | |||
| 375 |
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2 | Eigen::VectorXd q = randomConfiguration(model); |
| 376 |
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2 | pinocchio::crba(model, data_ref, q, pinocchio::Convention::WORLD); |
| 377 |
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2 | data_ref.M.triangularView<Eigen::StrictlyLower>() = |
| 378 |
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4 | data_ref.M.transpose().triangularView<Eigen::StrictlyLower>(); |
| 379 | |||
| 380 |
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2 | computeMinverse(model, data, q); |
| 381 |
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2 | data.Minv.triangularView<Eigen::StrictlyLower>() = |
| 382 |
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4 | data.Minv.transpose().triangularView<Eigen::StrictlyLower>(); |
| 383 | |||
| 384 |
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2 | BOOST_CHECK((data.Minv * data_ref.M).isIdentity()); |
| 385 | 2 | } | |
| 386 | |||
| 387 | BOOST_AUTO_TEST_SUITE_END() | ||
| 388 |