| Directory: | ./ |
|---|---|
| File: | unittest/joint-jacobian.cpp |
| Date: | 2025-02-12 21:03:38 |
| Exec | Total | Coverage | |
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| Lines: | 192 | 192 | 100.0% |
| Branches: | 454 | 940 | 48.3% |
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| 1 | // | ||
| 2 | // Copyright (c) 2015-2020 CNRS INRIA | ||
| 3 | // | ||
| 4 | |||
| 5 | #include "pinocchio/multibody/model.hpp" | ||
| 6 | #include "pinocchio/multibody/data.hpp" | ||
| 7 | #include "pinocchio/algorithm/jacobian.hpp" | ||
| 8 | #include "pinocchio/algorithm/kinematics.hpp" | ||
| 9 | #include "pinocchio/algorithm/rnea.hpp" | ||
| 10 | #include "pinocchio/spatial/act-on-set.hpp" | ||
| 11 | #include "pinocchio/multibody/sample-models.hpp" | ||
| 12 | #include "pinocchio/utils/timer.hpp" | ||
| 13 | #include "pinocchio/algorithm/joint-configuration.hpp" | ||
| 14 | |||
| 15 | #include <iostream> | ||
| 16 | |||
| 17 | #include <boost/test/unit_test.hpp> | ||
| 18 | #include <boost/utility/binary.hpp> | ||
| 19 | |||
| 20 | template<typename Derived> | ||
| 21 | 1 | inline bool isFinite(const Eigen::MatrixBase<Derived> & x) | |
| 22 | { | ||
| 23 |
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1 | return ((x - x).array() == (x - x).array()).all(); |
| 24 | } | ||
| 25 | |||
| 26 | BOOST_AUTO_TEST_SUITE(BOOST_TEST_MODULE) | ||
| 27 | |||
| 28 |
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4 | BOOST_AUTO_TEST_CASE(test_jacobian) |
| 29 | { | ||
| 30 | using namespace Eigen; | ||
| 31 | using namespace pinocchio; | ||
| 32 | |||
| 33 |
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2 | pinocchio::Model model; |
| 34 |
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2 | pinocchio::buildModels::humanoidRandom(model); |
| 35 |
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2 | pinocchio::Data data(model); |
| 36 | |||
| 37 |
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2 | VectorXd q = VectorXd::Zero(model.nq); |
| 38 |
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2 | computeJointJacobians(model, data, q); |
| 39 | |||
| 40 | Model::Index idx = | ||
| 41 |
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2 | model.existJointName("rarm2") ? model.getJointId("rarm2") : (Model::Index)(model.njoints - 1); |
| 42 |
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2 | Data::Matrix6x Jrh(6, model.nv); |
| 43 |
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2 | Jrh.fill(0); |
| 44 |
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2 | getJointJacobian(model, data, idx, WORLD, Jrh); |
| 45 | |||
| 46 | /* Test J*q == v */ | ||
| 47 |
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2 | VectorXd qdot = VectorXd::Random(model.nv); |
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2 | VectorXd qddot = VectorXd::Zero(model.nv); |
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2 | rnea(model, data, q, qdot, qddot); |
| 50 |
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2 | Motion v = data.oMi[idx].act(data.v[idx]); |
| 51 |
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2 | BOOST_CHECK(v.toVector().isApprox(Jrh * qdot, 1e-12)); |
| 52 | |||
| 53 | /* Test local jacobian: rhJrh == rhXo oJrh */ | ||
| 54 |
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2 | Data::Matrix6x rhJrh(6, model.nv); |
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2 | rhJrh.fill(0); |
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2 | getJointJacobian(model, data, idx, LOCAL, rhJrh); |
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2 | Data::Matrix6x XJrh(6, model.nv); |
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2 | motionSet::se3Action(data.oMi[idx].inverse(), Jrh, XJrh); |
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2 | BOOST_CHECK(XJrh.isApprox(rhJrh, 1e-12)); |
| 60 | |||
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2 | XJrh.setZero(); |
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2 | Data data_jointJacobian(model); |
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2 | computeJointJacobian(model, data_jointJacobian, q, idx, XJrh); |
| 64 |
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2 | BOOST_CHECK(XJrh.isApprox(rhJrh, 1e-12)); |
| 65 | |||
| 66 | /* Test computeJointJacobians with pre-computation of the forward kinematics */ | ||
| 67 |
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2 | Data data_fk(model); |
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2 | forwardKinematics(model, data_fk, q); |
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2 | computeJointJacobians(model, data_fk); |
| 70 | |||
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2 | BOOST_CHECK(data_fk.J.isApprox(data.J)); |
| 72 | 2 | } | |
| 73 | |||
| 74 |
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4 | BOOST_AUTO_TEST_CASE(test_jacobian_time_variation) |
| 75 | { | ||
| 76 | using namespace Eigen; | ||
| 77 | using namespace pinocchio; | ||
| 78 | |||
| 79 |
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2 | pinocchio::Model model; |
| 80 |
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2 | pinocchio::buildModels::humanoidRandom(model); |
| 81 |
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2 | pinocchio::Data data(model); |
| 82 |
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2 | pinocchio::Data data_ref(model); |
| 83 | |||
| 84 | VectorXd q = randomConfiguration( | ||
| 85 |
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2 | model, -1 * Eigen::VectorXd::Ones(model.nq), Eigen::VectorXd::Ones(model.nq)); |
| 86 |
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2 | VectorXd v = VectorXd::Random(model.nv); |
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2 | VectorXd a = VectorXd::Random(model.nv); |
| 88 | |||
| 89 |
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2 | computeJointJacobiansTimeVariation(model, data, q, v); |
| 90 | |||
| 91 |
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2 | BOOST_CHECK(isFinite(data.dJ)); |
| 92 | |||
| 93 |
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2 | forwardKinematics(model, data_ref, q, v, a); |
| 94 | Model::Index idx = | ||
| 95 |
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2 | model.existJointName("rarm2") ? model.getJointId("rarm2") : (Model::Index)(model.njoints - 1); |
| 96 | |||
| 97 |
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2 | Data::Matrix6x J(6, model.nv); |
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2 | J.fill(0.); |
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2 | Data::Matrix6x dJ(6, model.nv); |
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2 | dJ.fill(0.); |
| 101 | |||
| 102 | // Regarding to the WORLD origin | ||
| 103 |
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2 | getJointJacobian(model, data, idx, WORLD, J); |
| 104 |
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2 | BOOST_CHECK(J.isApprox(getJointJacobian(model, data, idx, WORLD))); |
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2 | getJointJacobianTimeVariation(model, data, idx, WORLD, dJ); |
| 106 | |||
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2 | Motion v_idx(J * v); |
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2 | BOOST_CHECK(v_idx.isApprox(data_ref.oMi[idx].act(data_ref.v[idx]))); |
| 109 | |||
| 110 |
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2 | Motion a_idx(J * a + dJ * v); |
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2 | const Motion & a_ref = data_ref.oMi[idx].act(data_ref.a[idx]); |
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2 | BOOST_CHECK(a_idx.isApprox(a_ref)); |
| 113 | |||
| 114 | // Regarding to the LOCAL frame | ||
| 115 |
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2 | getJointJacobian(model, data, idx, LOCAL, J); |
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2 | BOOST_CHECK(J.isApprox(getJointJacobian(model, data, idx, LOCAL))); |
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2 | getJointJacobianTimeVariation(model, data, idx, LOCAL, dJ); |
| 118 | |||
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2 | v_idx = (Motion::Vector6)(J * v); |
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2 | BOOST_CHECK(v_idx.isApprox(data_ref.v[idx])); |
| 121 | |||
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2 | a_idx = (Motion::Vector6)(J * a + dJ * v); |
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2 | BOOST_CHECK(a_idx.isApprox(data_ref.a[idx])); |
| 124 | |||
| 125 | // Regarding to the LOCAL_WORLD_ALIGNED frame | ||
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2 | getJointJacobian(model, data, idx, LOCAL_WORLD_ALIGNED, J); |
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2 | BOOST_CHECK(J.isApprox(getJointJacobian(model, data, idx, LOCAL_WORLD_ALIGNED))); |
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2 | getJointJacobianTimeVariation(model, data, idx, LOCAL_WORLD_ALIGNED, dJ); |
| 129 | |||
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2 | Data::SE3 worldMlocal = data.oMi[idx]; |
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2 | worldMlocal.translation().setZero(); |
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2 | Data::Motion world_v_local = data.ov[idx]; |
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2 | world_v_local.linear().setZero(); |
| 134 | |||
| 135 |
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2 | v_idx = (Motion::Vector6)(J * v); |
| 136 |
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2 | BOOST_CHECK(v_idx.isApprox(worldMlocal.act(data_ref.v[idx]))); |
| 137 | |||
| 138 |
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2 | a_idx = (Motion::Vector6)(J * a + dJ * v); |
| 139 |
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2 | BOOST_CHECK(a_idx.isApprox( |
| 140 | world_v_local.cross(worldMlocal.act(data_ref.v[idx])) + worldMlocal.act(data_ref.a[idx]))); | ||
| 141 | |||
| 142 | // compare to finite differencies : WORLD | ||
| 143 | { | ||
| 144 |
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2 | Data data_ref(model), data_ref_plus(model); |
| 145 | |||
| 146 | 2 | const double alpha = 1e-8; | |
| 147 |
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2 | Eigen::VectorXd q_plus(model.nq); |
| 148 |
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2 | q_plus = integrate(model, q, alpha * v); |
| 149 | |||
| 150 |
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2 | Data::Matrix6x J_ref(6, model.nv); |
| 151 |
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2 | J_ref.fill(0.); |
| 152 |
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2 | computeJointJacobians(model, data_ref, q); |
| 153 |
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2 | getJointJacobian(model, data_ref, idx, WORLD, J_ref); |
| 154 | |||
| 155 |
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2 | Data::Matrix6x J_ref_plus(6, model.nv); |
| 156 |
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2 | J_ref_plus.fill(0.); |
| 157 |
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2 | computeJointJacobians(model, data_ref_plus, q_plus); |
| 158 |
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2 | getJointJacobian(model, data_ref_plus, idx, WORLD, J_ref_plus); |
| 159 | |||
| 160 |
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2 | Data::Matrix6x dJ_ref(6, model.nv); |
| 161 |
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2 | dJ_ref.fill(0.); |
| 162 |
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2 | dJ_ref = (J_ref_plus - J_ref) / alpha; |
| 163 | |||
| 164 |
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2 | computeJointJacobiansTimeVariation(model, data, q, v); |
| 165 |
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2 | Data::Matrix6x dJ(6, model.nv); |
| 166 |
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2 | dJ.fill(0.); |
| 167 |
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2 | getJointJacobianTimeVariation(model, data, idx, WORLD, dJ); |
| 168 | |||
| 169 |
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2 | BOOST_CHECK(dJ.isApprox(dJ_ref, sqrt(alpha))); |
| 170 | 2 | } | |
| 171 | |||
| 172 | // compare to finite differencies : LOCAL | ||
| 173 | { | ||
| 174 |
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2 | Data data_ref(model), data_ref_plus(model); |
| 175 | |||
| 176 | 2 | const double alpha = 1e-8; | |
| 177 |
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2 | Eigen::VectorXd q_plus(model.nq); |
| 178 |
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2 | q_plus = integrate(model, q, alpha * v); |
| 179 | |||
| 180 |
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2 | Data::Matrix6x J_ref(6, model.nv); |
| 181 |
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2 | J_ref.fill(0.); |
| 182 |
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2 | computeJointJacobians(model, data_ref, q); |
| 183 |
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2 | getJointJacobian(model, data_ref, idx, LOCAL, J_ref); |
| 184 | |||
| 185 |
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2 | Data::Matrix6x J_ref_plus(6, model.nv); |
| 186 |
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2 | J_ref_plus.fill(0.); |
| 187 |
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2 | computeJointJacobians(model, data_ref_plus, q_plus); |
| 188 |
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2 | getJointJacobian(model, data_ref_plus, idx, LOCAL, J_ref_plus); |
| 189 | |||
| 190 |
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2 | Data::Matrix6x dJ_ref(6, model.nv); |
| 191 |
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2 | dJ_ref = (J_ref_plus - J_ref) / alpha; |
| 192 | |||
| 193 |
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2 | computeJointJacobiansTimeVariation(model, data, q, v); |
| 194 |
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2 | Data::Matrix6x dJ(6, model.nv); |
| 195 |
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2 | dJ.fill(0.); |
| 196 |
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2 | getJointJacobianTimeVariation(model, data, idx, LOCAL, dJ); |
| 197 | |||
| 198 |
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2 | BOOST_CHECK(dJ.isApprox(dJ_ref, sqrt(alpha))); |
| 199 | 2 | } | |
| 200 | |||
| 201 | // compare to finite differencies : LOCAL_WORLD_ALIGNED | ||
| 202 | { | ||
| 203 |
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2 | Data data_ref(model), data_ref_plus(model); |
| 204 | |||
| 205 | 2 | const double alpha = 1e-8; | |
| 206 |
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2 | Eigen::VectorXd q_plus(model.nq); |
| 207 |
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2 | q_plus = integrate(model, q, alpha * v); |
| 208 | |||
| 209 |
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2 | Data::Matrix6x J_ref(6, model.nv); |
| 210 |
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2 | J_ref.fill(0.); |
| 211 |
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2 | computeJointJacobians(model, data_ref, q); |
| 212 |
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2 | getJointJacobian(model, data_ref, idx, LOCAL_WORLD_ALIGNED, J_ref); |
| 213 | |||
| 214 |
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2 | Data::Matrix6x J_ref_plus(6, model.nv); |
| 215 |
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2 | J_ref_plus.fill(0.); |
| 216 |
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2 | computeJointJacobians(model, data_ref_plus, q_plus); |
| 217 |
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2 | getJointJacobian(model, data_ref_plus, idx, LOCAL_WORLD_ALIGNED, J_ref_plus); |
| 218 | |||
| 219 |
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2 | Data::Matrix6x dJ_ref(6, model.nv); |
| 220 |
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2 | dJ_ref = (J_ref_plus - J_ref) / alpha; |
| 221 | |||
| 222 |
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2 | computeJointJacobiansTimeVariation(model, data, q, v); |
| 223 |
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2 | Data::Matrix6x dJ(6, model.nv); |
| 224 |
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2 | dJ.fill(0.); |
| 225 |
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2 | getJointJacobianTimeVariation(model, data, idx, LOCAL_WORLD_ALIGNED, dJ); |
| 226 | |||
| 227 |
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2 | BOOST_CHECK(dJ.isApprox(dJ_ref, sqrt(alpha))); |
| 228 | 2 | } | |
| 229 | 2 | } | |
| 230 | |||
| 231 |
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|
4 | BOOST_AUTO_TEST_CASE(test_timings) |
| 232 | { | ||
| 233 | using namespace Eigen; | ||
| 234 | using namespace pinocchio; | ||
| 235 | |||
| 236 |
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2 | pinocchio::Model model; |
| 237 |
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2 | pinocchio::buildModels::humanoidRandom(model); |
| 238 |
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2 | pinocchio::Data data(model); |
| 239 | |||
| 240 | 2 | long flag = BOOST_BINARY(1111); | |
| 241 |
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2 | PinocchioTicToc timer(PinocchioTicToc::US); |
| 242 | #ifdef NDEBUG | ||
| 243 | #ifdef _INTENSE_TESTING_ | ||
| 244 | const size_t NBT = 1000 * 1000; | ||
| 245 | #else | ||
| 246 | const size_t NBT = 10; | ||
| 247 | #endif | ||
| 248 | #else | ||
| 249 | 2 | const size_t NBT = 1; | |
| 250 |
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2 | std::cout << "(the time score in debug mode is not relevant) "; |
| 251 | #endif | ||
| 252 | |||
| 253 | 2 | bool verbose = flag & (flag - 1); // True is two or more binaries of the flag are 1. | |
| 254 |
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2 | if (verbose) |
| 255 |
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2 | std::cout << "--" << std::endl; |
| 256 |
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2 | Eigen::VectorXd q = Eigen::VectorXd::Zero(model.nq); |
| 257 | |||
| 258 |
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2 | if (flag >> 0 & 1) |
| 259 | { | ||
| 260 |
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2 | timer.tic(); |
| 261 |
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4 | SMOOTH(NBT) |
| 262 | { | ||
| 263 |
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2 | computeJointJacobians(model, data, q); |
| 264 | } | ||
| 265 |
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2 | if (verbose) |
| 266 |
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2 | std::cout << "Compute =\t"; |
| 267 |
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2 | timer.toc(std::cout, NBT); |
| 268 | } | ||
| 269 | |||
| 270 |
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2 | if (flag >> 1 & 1) |
| 271 | { | ||
| 272 |
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2 | computeJointJacobians(model, data, q); |
| 273 | Model::Index idx = | ||
| 274 |
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2 | model.existJointName("rarm6") ? model.getJointId("rarm6") : (Model::Index)(model.njoints - 1); |
| 275 |
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2 | Data::Matrix6x Jrh(6, model.nv); |
| 276 |
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2 | Jrh.fill(0); |
| 277 | |||
| 278 |
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2 | timer.tic(); |
| 279 |
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4 | SMOOTH(NBT) |
| 280 | { | ||
| 281 |
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2 | getJointJacobian(model, data, idx, WORLD, Jrh); |
| 282 | } | ||
| 283 |
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2 | if (verbose) |
| 284 |
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2 | std::cout << "Copy =\t"; |
| 285 |
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2 | timer.toc(std::cout, NBT); |
| 286 | 2 | } | |
| 287 | |||
| 288 |
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2 | if (flag >> 2 & 1) |
| 289 | { | ||
| 290 |
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2 | computeJointJacobians(model, data, q); |
| 291 | Model::Index idx = | ||
| 292 |
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2 | model.existJointName("rarm6") ? model.getJointId("rarm6") : (Model::Index)(model.njoints - 1); |
| 293 |
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2 | Data::Matrix6x Jrh(6, model.nv); |
| 294 |
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2 | Jrh.fill(0); |
| 295 | |||
| 296 |
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2 | timer.tic(); |
| 297 |
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4 | SMOOTH(NBT) |
| 298 | { | ||
| 299 |
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2 | getJointJacobian(model, data, idx, LOCAL, Jrh); |
| 300 | } | ||
| 301 |
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2 | if (verbose) |
| 302 |
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2 | std::cout << "Change frame =\t"; |
| 303 |
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2 | timer.toc(std::cout, NBT); |
| 304 | 2 | } | |
| 305 | |||
| 306 |
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2 | if (flag >> 3 & 1) |
| 307 | { | ||
| 308 |
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2 | computeJointJacobians(model, data, q); |
| 309 | Model::Index idx = | ||
| 310 |
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2 | model.existJointName("rarm6") ? model.getJointId("rarm6") : (Model::Index)(model.njoints - 1); |
| 311 |
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2 | Data::Matrix6x Jrh(6, model.nv); |
| 312 |
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2 | Jrh.fill(0); |
| 313 | |||
| 314 |
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2 | timer.tic(); |
| 315 |
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4 | SMOOTH(NBT) |
| 316 | { | ||
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2 | computeJointJacobian(model, data, q, idx, Jrh); |
| 318 | } | ||
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2 | if (verbose) |
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2 | std::cout << "Single jacobian =\t"; |
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2 | timer.toc(std::cout, NBT); |
| 322 | 2 | } | |
| 323 | 2 | } | |
| 324 | |||
| 325 | BOOST_AUTO_TEST_SUITE_END() | ||
| 326 |