| Directory: | ./ |
|---|---|
| File: | unittest/centroidal-derivatives.cpp |
| Date: | 2025-02-12 21:03:38 |
| Exec | Total | Coverage | |
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| Lines: | 162 | 163 | 99.4% |
| Branches: | 680 | 1354 | 50.2% |
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| 1 | // | ||
| 2 | // Copyright (c) 2018-2021 INRIA | ||
| 3 | // | ||
| 4 | |||
| 5 | #include "pinocchio/algorithm/crba.hpp" | ||
| 6 | #include "pinocchio/algorithm/rnea.hpp" | ||
| 7 | #include "pinocchio/algorithm/centroidal.hpp" | ||
| 8 | #include "pinocchio/algorithm/centroidal-derivatives.hpp" | ||
| 9 | #include "pinocchio/algorithm/rnea-derivatives.hpp" | ||
| 10 | #include "pinocchio/algorithm/aba-derivatives.hpp" | ||
| 11 | #include "pinocchio/algorithm/jacobian.hpp" | ||
| 12 | #include "pinocchio/algorithm/center-of-mass.hpp" | ||
| 13 | #include "pinocchio/algorithm/joint-configuration.hpp" | ||
| 14 | #include "pinocchio/multibody/sample-models.hpp" | ||
| 15 | |||
| 16 | #include <iostream> | ||
| 17 | |||
| 18 | #include <boost/test/unit_test.hpp> | ||
| 19 | #include <boost/utility/binary.hpp> | ||
| 20 | |||
| 21 | template<typename JointModel> | ||
| 22 | 1 | static void addJointAndBody( | |
| 23 | pinocchio::Model & model, | ||
| 24 | const pinocchio::JointModelBase<JointModel> & joint, | ||
| 25 | const std::string & parent_name, | ||
| 26 | const std::string & name, | ||
| 27 | const pinocchio::SE3 placement = pinocchio::SE3::Random(), | ||
| 28 | bool setRandomLimits = true) | ||
| 29 | { | ||
| 30 | using namespace pinocchio; | ||
| 31 | typedef typename JointModel::ConfigVector_t CV; | ||
| 32 | typedef typename JointModel::TangentVector_t TV; | ||
| 33 | |||
| 34 | Model::JointIndex idx; | ||
| 35 | |||
| 36 |
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1 | if (setRandomLimits) |
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1 | idx = model.addJoint( |
| 38 | model.getJointId(parent_name), joint, SE3::Random(), name + "_joint", | ||
| 39 | TV::Random() + TV::Constant(1), TV::Random() + TV::Constant(1), | ||
| 40 | CV::Random() - CV::Constant(1), CV::Random() + CV::Constant(1)); | ||
| 41 | else | ||
| 42 | ✗ | idx = model.addJoint(model.getJointId(parent_name), joint, placement, name + "_joint"); | |
| 43 | |||
| 44 |
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1 | model.addJointFrame(idx); |
| 45 | |||
| 46 |
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1 | model.appendBodyToJoint(idx, Inertia::Random(), SE3::Identity()); |
| 47 |
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1 | model.addBodyFrame(name + "_body", idx); |
| 48 | 1 | } | |
| 49 | |||
| 50 | BOOST_AUTO_TEST_SUITE(BOOST_TEST_MODULE) | ||
| 51 | |||
| 52 |
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4 | BOOST_AUTO_TEST_CASE(test_centroidal_derivatives) |
| 53 | { | ||
| 54 |
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2 | pinocchio::Model model; |
| 55 |
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2 | pinocchio::buildModels::humanoidRandom(model); |
| 56 |
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2 | const std::string parent_name = model.names.back(); |
| 57 |
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2 | const std::string joint_name = "ee_spherical_joint"; |
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2 | addJointAndBody(model, pinocchio::JointModelSpherical(), parent_name, joint_name); |
| 59 | |||
| 60 |
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2 | pinocchio::Data data(model), data_ref(model); |
| 61 | |||
| 62 |
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2 | model.lowerPositionLimit.head<7>().fill(-1.); |
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2 | model.upperPositionLimit.head<7>().fill(1.); |
| 64 | |||
| 65 |
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2 | Eigen::VectorXd q = pinocchio::randomConfiguration(model); |
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2 | Eigen::VectorXd v = Eigen::VectorXd::Random(model.nv); |
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2 | Eigen::VectorXd a = Eigen::VectorXd::Random(model.nv); |
| 68 | |||
| 69 |
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2 | pinocchio::Data::Matrix6x dh_dq(6, model.nv), dhdot_dq(6, model.nv), dhdot_dv(6, model.nv), |
| 70 |
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2 | dhdot_da(6, model.nv); |
| 71 |
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2 | pinocchio::computeCentroidalDynamicsDerivatives( |
| 72 | model, data, q, v, a, dh_dq, dhdot_dq, dhdot_dv, dhdot_da); | ||
| 73 |
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2 | pinocchio::ccrba(model, data_ref, q, v); |
| 74 | |||
| 75 |
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60 | for (size_t k = 0; k < (size_t)model.njoints; ++k) |
| 76 | { | ||
| 77 |
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58 | BOOST_CHECK(data.oMi[k].isApprox(data_ref.oMi[k])); |
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58 | BOOST_CHECK(data.oYcrb[k].isApprox(data_ref.oYcrb[k])); |
| 79 | } | ||
| 80 |
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2 | BOOST_CHECK(dhdot_da.isApprox(data_ref.Ag)); |
| 81 | |||
| 82 |
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2 | pinocchio::computeCentroidalMomentumTimeVariation(model, data_ref, q, v, a); |
| 83 |
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58 | for (size_t k = 1; k < (size_t)model.njoints; ++k) |
| 84 | { | ||
| 85 |
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56 | BOOST_CHECK(data.v[k].isApprox(data_ref.v[k])); |
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56 | BOOST_CHECK(data.ov[k].isApprox(data.oMi[k].act(data_ref.v[k]))); |
| 87 |
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56 | BOOST_CHECK(data.oa[k].isApprox(data.oMi[k].act(data_ref.a[k]))); |
| 88 |
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56 | BOOST_CHECK(data.oh[k].isApprox(data.oMi[k].act(data_ref.h[k]))); |
| 89 | } | ||
| 90 | |||
| 91 |
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2 | BOOST_CHECK(data.mass[0] == data_ref.mass[0]); |
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2 | BOOST_CHECK(data.com[0].isApprox(data_ref.com[0])); |
| 93 | |||
| 94 |
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2 | BOOST_CHECK(data.oh[0].isApprox(data_ref.h[0])); |
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2 | BOOST_CHECK(data.of[0].isApprox(data_ref.f[0])); |
| 96 | |||
| 97 |
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2 | BOOST_CHECK(data.hg.isApprox(data_ref.hg)); |
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2 | BOOST_CHECK(data.dhg.isApprox(data_ref.dhg)); |
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2 | BOOST_CHECK(data.Ag.isApprox(data_ref.Ag)); |
| 100 | |||
| 101 |
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2 | pinocchio::Data data_fd(model); |
| 102 | |||
| 103 | 2 | const double eps = 1e-8; | |
| 104 | const pinocchio::Force dhg = | ||
| 105 |
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2 | pinocchio::computeCentroidalMomentumTimeVariation(model, data_fd, q, v, a); |
| 106 |
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2 | const pinocchio::Force hg = data_fd.hg; |
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2 | BOOST_CHECK(data.hg.isApprox(data_ref.hg)); |
| 108 | |||
| 109 | // Check dhdot_dq and dh_dq with finite differences | ||
| 110 |
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2 | Eigen::VectorXd q_plus(model.nq, 1); |
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2 | Eigen::VectorXd v_eps(model.nv, 1); |
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2 | v_eps.setZero(); |
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2 | pinocchio::Data::Matrix6x dhdot_dq_fd(6, model.nv); |
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2 | pinocchio::Data::Matrix6x dh_dq_fd(6, model.nv); |
| 115 | |||
| 116 |
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72 | for (Eigen::DenseIndex k = 0; k < model.nv; ++k) |
| 117 | { | ||
| 118 |
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70 | v_eps[k] = eps; |
| 119 |
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70 | q_plus = pinocchio::integrate(model, q, v_eps); |
| 120 | |||
| 121 | const pinocchio::Force & dhg_plus = | ||
| 122 |
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70 | pinocchio::computeCentroidalMomentumTimeVariation(model, data_fd, q_plus, v, a); |
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70 | const pinocchio::Force hg_plus = data_fd.hg; |
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70 | dhdot_dq_fd.col(k) = (dhg_plus - dhg).toVector() / eps; |
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70 | dh_dq_fd.col(k) = (hg_plus - hg).toVector() / eps; |
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70 | v_eps[k] = 0.; |
| 127 | } | ||
| 128 | |||
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2 | BOOST_CHECK(dhdot_dq.isApprox(dhdot_dq_fd, sqrt(eps))); |
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2 | BOOST_CHECK(dh_dq.isApprox(dh_dq_fd, sqrt(eps))); |
| 131 | // Check dhdot_dv with finite differences | ||
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2 | Eigen::VectorXd v_plus(v); |
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2 | pinocchio::Data::Matrix6x dhdot_dv_fd(6, model.nv); |
| 134 | |||
| 135 |
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72 | for (Eigen::DenseIndex k = 0; k < model.nv; ++k) |
| 136 | { | ||
| 137 |
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70 | v_plus[k] += eps; |
| 138 | |||
| 139 | const pinocchio::Force & dhg_plus = | ||
| 140 |
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70 | pinocchio::computeCentroidalMomentumTimeVariation(model, data_fd, q, v_plus, a); |
| 141 |
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70 | dhdot_dv_fd.col(k) = (dhg_plus - dhg).toVector() / eps; |
| 142 | |||
| 143 |
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70 | v_plus[k] -= eps; |
| 144 | } | ||
| 145 | |||
| 146 |
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2 | BOOST_CHECK(dhdot_dv.isApprox(dhdot_dv_fd, sqrt(eps))); |
| 147 | |||
| 148 | // Check dhdot_da with finite differences | ||
| 149 |
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2 | Eigen::VectorXd a_plus(a); |
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2 | pinocchio::Data::Matrix6x dhdot_da_fd(6, model.nv); |
| 151 | |||
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72 | for (Eigen::DenseIndex k = 0; k < model.nv; ++k) |
| 153 | { | ||
| 154 |
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70 | a_plus[k] += eps; |
| 155 | |||
| 156 | const pinocchio::Force & dhg_plus = | ||
| 157 |
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70 | pinocchio::computeCentroidalMomentumTimeVariation(model, data_fd, q, v, a_plus); |
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70 | dhdot_da_fd.col(k) = (dhg_plus - dhg).toVector() / eps; |
| 159 | |||
| 160 |
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70 | a_plus[k] -= eps; |
| 161 | } | ||
| 162 | |||
| 163 |
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2 | BOOST_CHECK(dhdot_da.isApprox(dhdot_da_fd, sqrt(eps))); |
| 164 | |||
| 165 |
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2 | pinocchio::computeRNEADerivatives(model, data_ref, q, v, a); |
| 166 |
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2 | BOOST_CHECK(data.dAdv.isApprox(data_ref.dAdv)); |
| 167 |
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2 | BOOST_CHECK(data.dAdq.isApprox(data_ref.dAdq)); |
| 168 |
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2 | BOOST_CHECK(data.J.isApprox(data_ref.J)); |
| 169 |
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2 | BOOST_CHECK(data.dJ.isApprox(data_ref.dJ)); |
| 170 |
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2 | BOOST_CHECK(data.dVdq.isApprox(data_ref.dVdq)); |
| 171 | |||
| 172 |
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2 | pinocchio::computeCentroidalMap(model, data_ref, q); |
| 173 |
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2 | BOOST_CHECK(data.Ag.isApprox(data_ref.Ag)); |
| 174 | 2 | } | |
| 175 | |||
| 176 |
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4 | BOOST_AUTO_TEST_CASE(test_retrieve_centroidal_derivatives_fromRNEA) |
| 177 | { | ||
| 178 |
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2 | pinocchio::Model model; |
| 179 |
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2 | pinocchio::buildModels::humanoidRandom(model); |
| 180 |
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2 | pinocchio::Data data(model), data_ref(model); |
| 181 | |||
| 182 |
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2 | model.lowerPositionLimit.head<7>().fill(-1.); |
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2 | model.upperPositionLimit.head<7>().fill(1.); |
| 184 | |||
| 185 |
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2 | Eigen::VectorXd q = pinocchio::randomConfiguration(model); |
| 186 |
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2 | Eigen::VectorXd v = Eigen::VectorXd::Random(model.nv); |
| 187 |
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2 | Eigen::VectorXd a = Eigen::VectorXd::Random(model.nv); |
| 188 | |||
| 189 |
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2 | pinocchio::Data::Matrix6x dh_dq(6, model.nv), dhdot_dq(6, model.nv), dhdot_dv(6, model.nv), |
| 190 |
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2 | dhdot_da(6, model.nv); |
| 191 |
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2 | pinocchio::Data::Matrix6x dh_dq_ref(6, model.nv), dhdot_dq_ref(6, model.nv), |
| 192 |
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2 | dhdot_dv_ref(6, model.nv), dhdot_da_ref(6, model.nv); |
| 193 | |||
| 194 |
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2 | pinocchio::computeCentroidalDynamicsDerivatives( |
| 195 | model, data_ref, q, v, a, dh_dq_ref, dhdot_dq_ref, dhdot_dv_ref, dhdot_da_ref); | ||
| 196 | |||
| 197 |
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2 | pinocchio::computeRNEADerivatives(model, data, q, v, a); |
| 198 |
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2 | pinocchio::getCentroidalDynamicsDerivatives(model, data, dh_dq, dhdot_dq, dhdot_dv, dhdot_da); |
| 199 | |||
| 200 |
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2 | BOOST_CHECK(data.J.isApprox(data_ref.J)); |
| 201 | |||
| 202 |
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56 | for (pinocchio::Model::JointIndex k = 1; k < (pinocchio::Model::JointIndex)model.njoints; ++k) |
| 203 | { | ||
| 204 |
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54 | BOOST_CHECK(data.oYcrb[k].isApprox(data_ref.oYcrb[k])); |
| 205 |
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54 | pinocchio::Force force_ref = data_ref.of[k]; |
| 206 |
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54 | pinocchio::Force gravity_contribution = data.oYcrb[k] * (-model.gravity); |
| 207 |
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54 | pinocchio::Force force = data.of[k] - gravity_contribution; |
| 208 |
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54 | BOOST_CHECK(force.isApprox(force_ref)); |
| 209 | } | ||
| 210 | |||
| 211 |
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2 | BOOST_CHECK(data.com[0].isApprox(data_ref.com[0])); |
| 212 | |||
| 213 |
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2 | BOOST_CHECK(data.hg.isApprox(data_ref.hg)); |
| 214 |
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2 | BOOST_CHECK(data.dhg.isApprox(data_ref.dhg)); |
| 215 | |||
| 216 |
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2 | BOOST_CHECK(data.Fcrb[0].isApprox(data_ref.dFdq)); |
| 217 |
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2 | BOOST_CHECK(data.dFdv.isApprox(data_ref.dFdv)); |
| 218 |
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2 | BOOST_CHECK(data.dFda.isApprox(data_ref.dFda)); |
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2 | BOOST_CHECK(dh_dq.isApprox(dh_dq_ref)); |
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2 | BOOST_CHECK(dhdot_dq.isApprox(dhdot_dq_ref)); |
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2 | BOOST_CHECK(dhdot_dv.isApprox(dhdot_dv_ref)); |
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2 | BOOST_CHECK(dhdot_da.isApprox(dhdot_da_ref)); |
| 223 | 2 | } | |
| 224 | |||
| 225 |
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4 | BOOST_AUTO_TEST_CASE(test_retrieve_centroidal_derivatives_fromABA) |
| 226 | { | ||
| 227 |
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2 | pinocchio::Model model; |
| 228 |
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2 | pinocchio::buildModels::humanoidRandom(model); |
| 229 |
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2 | pinocchio::Data data(model), data_ref(model), data_rnea(model); |
| 230 | |||
| 231 |
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2 | model.lowerPositionLimit.head<7>().fill(-1.); |
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2 | model.upperPositionLimit.head<7>().fill(1.); |
| 233 | |||
| 234 |
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2 | Eigen::VectorXd q = pinocchio::randomConfiguration(model); |
| 235 |
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2 | Eigen::VectorXd v = Eigen::VectorXd::Random(model.nv); |
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2 | Eigen::VectorXd a = Eigen::VectorXd::Random(model.nv); |
| 237 | |||
| 238 |
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2 | pinocchio::Data::Matrix6x dh_dq(6, model.nv), dhdot_dq(6, model.nv), dhdot_dv(6, model.nv), |
| 239 |
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2 | dhdot_da(6, model.nv); |
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2 | pinocchio::Data::Matrix6x dh_dq_ref(6, model.nv), dhdot_dq_ref(6, model.nv), |
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2 | dhdot_dv_ref(6, model.nv), dhdot_da_ref(6, model.nv); |
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2 | pinocchio::computeCentroidalDynamicsDerivatives( |
| 244 | model, data_ref, q, v, a, dh_dq_ref, dhdot_dq_ref, dhdot_dv_ref, dhdot_da_ref); | ||
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2 | Eigen::VectorXd tau = rnea(model, data_rnea, q, v, a); |
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2 | pinocchio::computeABADerivatives(model, data, q, v, tau); |
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2 | pinocchio::computeRNEADerivatives(model, data_rnea, q, v, a); |
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2 | pinocchio::getCentroidalDynamicsDerivatives(model, data, dh_dq, dhdot_dq, dhdot_dv, dhdot_da); |
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2 | BOOST_CHECK(data.J.isApprox(data_ref.J)); |
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2 | BOOST_CHECK(data.dVdq.isApprox(data_rnea.dVdq)); |
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2 | BOOST_CHECK(data.dAdq.isApprox(data_rnea.dAdq)); |
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2 | BOOST_CHECK(data.dAdv.isApprox(data_rnea.dAdv)); |
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2 | BOOST_CHECK(data.dFdq.isApprox(data_rnea.dFdq)); |
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2 | BOOST_CHECK(data.dFdv.isApprox(data_rnea.dFdv)); |
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2 | BOOST_CHECK(data.dFda.isApprox(data_rnea.dFda)); |
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56 | for (pinocchio::Model::JointIndex k = 1; k < (pinocchio::Model::JointIndex)model.njoints; ++k) |
| 260 | { | ||
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54 | BOOST_CHECK(data.oYcrb[k].isApprox(data_ref.oYcrb[k])); |
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54 | BOOST_CHECK(data.oh[k].isApprox(data_ref.oh[k])); |
| 263 | 54 | const pinocchio::Force & force_ref = data_ref.of[k]; | |
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54 | const pinocchio::Force gravity_contribution = data.oYcrb[k] * (-model.gravity); |
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54 | const pinocchio::Force force = data.of[k] - gravity_contribution; |
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54 | BOOST_CHECK(force.isApprox(force_ref)); |
| 267 | } | ||
| 268 | |||
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2 | BOOST_CHECK(data.com[0].isApprox(data_ref.com[0])); |
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2 | BOOST_CHECK(data.hg.isApprox(data_ref.hg)); |
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2 | BOOST_CHECK(data.dhg.isApprox(data_ref.dhg)); |
| 273 | |||
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2 | BOOST_CHECK(data.Fcrb[0].isApprox(data_ref.dFdq)); |
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2 | BOOST_CHECK(data.dFdv.isApprox(data_ref.dFdv)); |
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2 | BOOST_CHECK(data.dFda.isApprox(data_ref.dFda)); |
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2 | BOOST_CHECK(dh_dq.isApprox(dh_dq_ref)); |
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2 | BOOST_CHECK(dhdot_dq.isApprox(dhdot_dq_ref)); |
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2 | BOOST_CHECK(dhdot_dv.isApprox(dhdot_dv_ref)); |
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2 | BOOST_CHECK(dhdot_da.isApprox(dhdot_da_ref)); |
| 281 | 2 | } | |
| 282 | |||
| 283 | BOOST_AUTO_TEST_SUITE_END() | ||
| 284 |