| Directory: | ./ |
|---|---|
| File: | unittest/energy.cpp |
| Date: | 2025-02-12 21:03:38 |
| Exec | Total | Coverage | |
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| Lines: | 106 | 107 | 99.1% |
| Branches: | 346 | 688 | 50.3% |
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| 1 | // | ||
| 2 | // Copyright (c) 2016-2020 CNRS INRIA | ||
| 3 | // | ||
| 4 | |||
| 5 | #include "pinocchio/algorithm/energy.hpp" | ||
| 6 | #include "pinocchio/algorithm/crba.hpp" | ||
| 7 | #include "pinocchio/algorithm/rnea.hpp" | ||
| 8 | #include "pinocchio/algorithm/joint-configuration.hpp" | ||
| 9 | #include "pinocchio/algorithm/center-of-mass.hpp" | ||
| 10 | |||
| 11 | #include "pinocchio/multibody/sample-models.hpp" | ||
| 12 | |||
| 13 | #include <iostream> | ||
| 14 | #include <boost/test/unit_test.hpp> | ||
| 15 | #include <boost/utility/binary.hpp> | ||
| 16 | #include <boost/test/tools/floating_point_comparison.hpp> | ||
| 17 | |||
| 18 | BOOST_AUTO_TEST_SUITE(BOOST_TEST_MODULE) | ||
| 19 | |||
| 20 |
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|
4 | BOOST_AUTO_TEST_CASE(test_kinetic_energy) |
| 21 | { | ||
| 22 | using namespace Eigen; | ||
| 23 | using namespace pinocchio; | ||
| 24 | |||
| 25 |
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2 | Model model; |
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2 | buildModels::humanoidRandom(model); |
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2 | Data data(model); |
| 28 | |||
| 29 |
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2 | const VectorXd qmax = VectorXd::Ones(model.nq); |
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2 | VectorXd q = randomConfiguration(model, -qmax, qmax); |
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2 | VectorXd v = VectorXd::Random(model.nv); |
| 32 | |||
| 33 |
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2 | crba(model, data, q, Convention::WORLD); |
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2 | data.M.triangularView<Eigen::StrictlyLower>() = |
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4 | data.M.transpose().triangularView<Eigen::StrictlyLower>(); |
| 36 | |||
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2 | double kinetic_energy_ref = 0.5 * v.transpose() * data.M * v; |
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2 | double kinetic_energy = computeKineticEnergy(model, data, q, v); |
| 39 | |||
| 40 |
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2 | BOOST_CHECK_SMALL(kinetic_energy_ref - kinetic_energy, 1e-12); |
| 41 | 2 | } | |
| 42 | |||
| 43 |
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|
4 | BOOST_AUTO_TEST_CASE(test_kinetic_energy_with_armature) |
| 44 | { | ||
| 45 | using namespace Eigen; | ||
| 46 | using namespace pinocchio; | ||
| 47 | |||
| 48 |
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2 | Model model; |
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2 | buildModels::humanoidRandom(model); |
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2 | Data data(model), data_ref(model); |
| 51 | |||
| 52 |
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2 | model.armature = VectorXd::Random(model.nv) + VectorXd::Ones(model.nv); |
| 53 | |||
| 54 |
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2 | const VectorXd qmax = VectorXd::Ones(model.nq); |
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2 | VectorXd q = randomConfiguration(model, -qmax, qmax); |
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2 | VectorXd v = VectorXd::Random(model.nv); |
| 57 | |||
| 58 |
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2 | crba(model, data_ref, q, Convention::WORLD); |
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2 | data_ref.M.triangularView<Eigen::StrictlyLower>() = |
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4 | data_ref.M.transpose().triangularView<Eigen::StrictlyLower>(); |
| 61 | |||
| 62 |
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2 | double kinetic_energy_ref = 0.5 * v.transpose() * data_ref.M * v; |
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2 | double kinetic_energy = computeKineticEnergy(model, data, q, v); |
| 64 | |||
| 65 |
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2 | BOOST_CHECK_SMALL( |
| 66 | kinetic_energy_ref - kinetic_energy, Eigen::NumTraits<double>::dummy_precision()); | ||
| 67 | 2 | } | |
| 68 | |||
| 69 |
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4 | BOOST_AUTO_TEST_CASE(test_potential_energy) |
| 70 | { | ||
| 71 | using namespace Eigen; | ||
| 72 | using namespace pinocchio; | ||
| 73 | |||
| 74 |
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2 | Model model; |
| 75 |
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2 | buildModels::humanoidRandom(model); |
| 76 |
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2 | Data data(model), data_ref(model); |
| 77 | |||
| 78 |
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2 | const VectorXd qmax = VectorXd::Ones(model.nq); |
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2 | VectorXd q = randomConfiguration(model, -qmax, qmax); |
| 80 | |||
| 81 |
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2 | double potential_energy = computePotentialEnergy(model, data, q); |
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2 | centerOfMass(model, data_ref, q); |
| 83 | |||
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2 | double potential_energy_ref = -data_ref.mass[0] * (data_ref.com[0].dot(model.gravity.linear())); |
| 85 | |||
| 86 |
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2 | BOOST_CHECK_SMALL( |
| 87 | potential_energy_ref - potential_energy, Eigen::NumTraits<double>::dummy_precision()); | ||
| 88 | 2 | } | |
| 89 | |||
| 90 |
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4 | BOOST_AUTO_TEST_CASE(test_mechanical_energy) |
| 91 | { | ||
| 92 | using namespace Eigen; | ||
| 93 | using namespace pinocchio; | ||
| 94 | |||
| 95 |
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2 | Model model; |
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2 | buildModels::humanoidRandom(model); |
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2 | Data data(model), data_ref(model); |
| 98 | |||
| 99 |
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2 | const VectorXd qmax = VectorXd::Ones(model.nq); |
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2 | VectorXd q = randomConfiguration(model, -qmax, qmax); |
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2 | VectorXd v = VectorXd::Random(model.nv); |
| 102 | |||
| 103 |
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2 | computeKineticEnergy(model, data_ref, q, v); |
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2 | computePotentialEnergy(model, data_ref, q); |
| 105 | |||
| 106 | 2 | const double mechanical_energy_ref = data_ref.kinetic_energy + data_ref.potential_energy; | |
| 107 |
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2 | double mechanical_energy = computeMechanicalEnergy(model, data, q, v); |
| 108 | |||
| 109 |
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2 | BOOST_CHECK_SMALL( |
| 110 | mechanical_energy_ref - mechanical_energy, Eigen::NumTraits<double>::dummy_precision()); | ||
| 111 | 2 | } | |
| 112 | |||
| 113 | template<typename ConfigVectorType, typename TangentVectorType> | ||
| 114 | 2 | Eigen::VectorXd evalMv( | |
| 115 | const pinocchio::Model & model, | ||
| 116 | const Eigen::MatrixBase<ConfigVectorType> & q, | ||
| 117 | const Eigen::MatrixBase<TangentVectorType> & v) | ||
| 118 | { | ||
| 119 |
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2 | pinocchio::Data data(model); |
| 120 |
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2 | pinocchio::crba(model, data, q, pinocchio::Convention::WORLD); |
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2 | data.M.triangularView<Eigen::StrictlyLower>() = |
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2 | data.M.transpose().triangularView<Eigen::StrictlyLower>(); |
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4 | return data.M * v; |
| 124 | 2 | } | |
| 125 | |||
| 126 |
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4 | BOOST_AUTO_TEST_CASE(test_against_rnea) |
| 127 | { | ||
| 128 | using namespace Eigen; | ||
| 129 | using namespace pinocchio; | ||
| 130 | |||
| 131 |
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2 | Model model; |
| 132 |
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2 | buildModels::humanoidRandom(model); |
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2 | model.armature = VectorXd::Random(model.nv) + VectorXd::Ones(model.nv); |
| 134 |
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2 | model.armature.head<6>().setZero(); // Because we do not take into account the influcent of the |
| 135 | // armature on the Coriolis terms | ||
| 136 | // model.gravity.setZero(); | ||
| 137 |
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2 | Data data(model), data_ref(model); |
| 138 | |||
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2 | const VectorXd qmax = VectorXd::Ones(model.nq); |
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2 | VectorXd q = randomConfiguration(model, -qmax, qmax); |
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2 | VectorXd v = VectorXd::Random(model.nv); // v.setZero(); |
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2 | VectorXd a = VectorXd::Random(model.nv); // a.setZero(); |
| 143 | |||
| 144 |
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2 | const VectorXd tau_ref = rnea(model, data_ref, q, v, a); |
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2 | VectorXd tau_fd = VectorXd::Zero(model.nv); |
| 146 | |||
| 147 | 2 | const double eps = 1e-8; | |
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2 | computeMechanicalEnergy(model, data, q, v); |
| 149 | 2 | const double mechanical_energy = data.kinetic_energy - data.potential_energy; | |
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2 | forwardKinematics(model, data, q); |
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2 | const SE3 oM1 = data.oMi[1]; |
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2 | Data data_plus(model); |
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66 | for (Eigen::DenseIndex k = 0; k < model.nv; ++k) |
| 154 | { | ||
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64 | VectorXd q_plus = integrate(model, q, VectorXd::Unit(model.nv, k) * eps); |
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64 | computeMechanicalEnergy(model, data_plus, q_plus, v); |
| 157 | 64 | const double mechanical_energy_plus = data_plus.kinetic_energy - data_plus.potential_energy; | |
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64 | const SE3 oM1_plus = data_plus.oMi[1]; |
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64 | const SE3 Mdiff = oM1.actInv(oM1_plus); |
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64 | if (k < 6) |
| 161 | { | ||
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12 | Force f = Force::Zero(); |
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12 | f.toVector()[k] = mechanical_energy; |
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12 | Force f_plus = Force::Zero(); |
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12 | f_plus.toVector()[k] = mechanical_energy_plus; |
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12 | tau_fd.head<6>() -= (Mdiff.act(f_plus) - f).toVector() / eps; |
| 167 | } | ||
| 168 | else | ||
| 169 | { | ||
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52 | tau_fd[k] = -(mechanical_energy_plus - mechanical_energy) / eps; |
| 171 | } | ||
| 172 | 64 | } | |
| 173 | |||
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2 | const VectorXd Mv = evalMv(model, q, v); |
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2 | const VectorXd q_plus = integrate(model, q, v * eps); |
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2 | const VectorXd v_plus = v + a * eps; |
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2 | VectorXd Mv_plus = evalMv(model, q_plus, v_plus); |
| 178 | |||
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2 | forwardKinematics(model, data, q_plus); |
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2 | const SE3 oM1_plus = data.oMi[1]; |
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2 | const SE3 Mdiff = oM1.actInv(oM1_plus); |
| 182 | ✗ | Mv_plus.head<6>() = | |
| 183 |
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2 | Mdiff.act(Force(Mv_plus.head<6>())) |
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2 | .toVector(); // The torque at the free flyer level is expressed in a translated frame. |
| 185 | |||
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2 | tau_fd += (Mv_plus - Mv) / eps; |
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2 | std::cout << "tau_fd: " << tau_fd.transpose() << std::endl; |
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2 | std::cout << "tau_ref: " << tau_ref.transpose() << std::endl; |
| 189 | |||
| 190 |
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2 | BOOST_CHECK(tau_fd.isApprox(tau_ref, sqrt(eps))); |
| 191 | 2 | } | |
| 192 | |||
| 193 | BOOST_AUTO_TEST_SUITE_END() | ||
| 194 |