| Directory: | ./ |
|---|---|
| File: | unittest/joint-prismatic.cpp |
| Date: | 2025-02-12 21:03:38 |
| Exec | Total | Coverage | |
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| Lines: | 169 | 169 | 100.0% |
| Branches: | 734 | 1468 | 50.0% |
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| 1 | // | ||
| 2 | // Copyright (c) 2015-2020 CNRS INRIA | ||
| 3 | // Copyright (c) 2015 Wandercraft, 86 rue de Paris 91400 Orsay, France. | ||
| 4 | // | ||
| 5 | |||
| 6 | #include "pinocchio/math/fwd.hpp" | ||
| 7 | #include "pinocchio/multibody/joint/joints.hpp" | ||
| 8 | #include "pinocchio/algorithm/rnea.hpp" | ||
| 9 | #include "pinocchio/algorithm/aba.hpp" | ||
| 10 | #include "pinocchio/algorithm/crba.hpp" | ||
| 11 | #include "pinocchio/algorithm/jacobian.hpp" | ||
| 12 | #include "pinocchio/algorithm/compute-all-terms.hpp" | ||
| 13 | |||
| 14 | #include <boost/test/unit_test.hpp> | ||
| 15 | #include <iostream> | ||
| 16 | |||
| 17 | using namespace pinocchio; | ||
| 18 | |||
| 19 | template<typename D> | ||
| 20 | 8 | void addJointAndBody( | |
| 21 | Model & model, | ||
| 22 | const JointModelBase<D> & jmodel, | ||
| 23 | const Model::JointIndex parent_id, | ||
| 24 | const SE3 & joint_placement, | ||
| 25 | const std::string & joint_name, | ||
| 26 | const Inertia & Y) | ||
| 27 | { | ||
| 28 | Model::JointIndex idx; | ||
| 29 | |||
| 30 |
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8 | idx = model.addJoint(parent_id, jmodel, joint_placement, joint_name); |
| 31 |
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8 | model.appendBodyToJoint(idx, Y); |
| 32 | 8 | } | |
| 33 | |||
| 34 | BOOST_AUTO_TEST_SUITE(JointPrismatic) | ||
| 35 | |||
| 36 |
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4 | BOOST_AUTO_TEST_CASE(spatial) |
| 37 | { | ||
| 38 | typedef TransformPrismaticTpl<double, 0, 0> TransformX; | ||
| 39 | typedef TransformPrismaticTpl<double, 0, 1> TransformY; | ||
| 40 | typedef TransformPrismaticTpl<double, 0, 2> TransformZ; | ||
| 41 | |||
| 42 | typedef SE3::Vector3 Vector3; | ||
| 43 | |||
| 44 | 2 | const double displacement = 0.2; | |
| 45 |
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2 | SE3 Mplain, Mrand(SE3::Random()); |
| 46 | |||
| 47 | 2 | TransformX Mx(displacement); | |
| 48 |
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2 | Mplain = Mx; |
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2 | BOOST_CHECK(Mplain.translation().isApprox(Vector3(displacement, 0, 0))); |
| 50 |
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2 | BOOST_CHECK(Mplain.rotation().isIdentity()); |
| 51 |
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2 | BOOST_CHECK((Mrand * Mplain).isApprox(Mrand * Mx)); |
| 52 | |||
| 53 | 2 | TransformY My(displacement); | |
| 54 |
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2 | Mplain = My; |
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2 | BOOST_CHECK(Mplain.translation().isApprox(Vector3(0, displacement, 0))); |
| 56 |
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2 | BOOST_CHECK(Mplain.rotation().isIdentity()); |
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2 | BOOST_CHECK((Mrand * Mplain).isApprox(Mrand * My)); |
| 58 | |||
| 59 | 2 | TransformZ Mz(displacement); | |
| 60 |
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2 | Mplain = Mz; |
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2 | BOOST_CHECK(Mplain.translation().isApprox(Vector3(0, 0, displacement))); |
| 62 |
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2 | BOOST_CHECK(Mplain.rotation().isIdentity()); |
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2 | BOOST_CHECK((Mrand * Mplain).isApprox(Mrand * Mz)); |
| 64 | |||
| 65 |
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2 | SE3 M(SE3::Random()); |
| 66 |
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2 | Motion v(Motion::Random()); |
| 67 | |||
| 68 | 2 | MotionPrismaticTpl<double, 0, 0> mp_x(2.); | |
| 69 |
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2 | Motion mp_dense_x(mp_x); |
| 70 | |||
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2 | BOOST_CHECK(M.act(mp_x).isApprox(M.act(mp_dense_x))); |
| 72 |
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2 | BOOST_CHECK(M.actInv(mp_x).isApprox(M.actInv(mp_dense_x))); |
| 73 | |||
| 74 |
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2 | BOOST_CHECK(v.cross(mp_x).isApprox(v.cross(mp_dense_x))); |
| 75 | |||
| 76 | 2 | MotionPrismaticTpl<double, 0, 1> mp_y(2.); | |
| 77 |
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2 | Motion mp_dense_y(mp_y); |
| 78 | |||
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2 | BOOST_CHECK(M.act(mp_y).isApprox(M.act(mp_dense_y))); |
| 80 |
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2 | BOOST_CHECK(M.actInv(mp_y).isApprox(M.actInv(mp_dense_y))); |
| 81 | |||
| 82 |
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2 | BOOST_CHECK(v.cross(mp_y).isApprox(v.cross(mp_dense_y))); |
| 83 | |||
| 84 | 2 | MotionPrismaticTpl<double, 0, 2> mp_z(2.); | |
| 85 |
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2 | Motion mp_dense_z(mp_z); |
| 86 | |||
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2 | BOOST_CHECK(M.act(mp_z).isApprox(M.act(mp_dense_z))); |
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2 | BOOST_CHECK(M.actInv(mp_z).isApprox(M.actInv(mp_dense_z))); |
| 89 | |||
| 90 |
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2 | BOOST_CHECK(v.cross(mp_z).isApprox(v.cross(mp_dense_z))); |
| 91 | 2 | } | |
| 92 | |||
| 93 |
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4 | BOOST_AUTO_TEST_CASE(test_kinematics) |
| 94 | { | ||
| 95 | using namespace pinocchio; | ||
| 96 | |||
| 97 |
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2 | Motion expected_v_J(Motion::Zero()); |
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2 | Motion expected_c_J(Motion::Zero()); |
| 99 | |||
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2 | SE3 expected_configuration(SE3::Identity()); |
| 101 | |||
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2 | JointDataPX joint_data; |
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2 | JointModelPX joint_model; |
| 104 | |||
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2 | joint_model.setIndexes(0, 0, 0); |
| 106 | |||
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2 | Eigen::VectorXd q(Eigen::VectorXd::Zero(1)); |
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2 | Eigen::VectorXd q_dot(Eigen::VectorXd::Zero(1)); |
| 109 | |||
| 110 | // ------- | ||
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2 | q << 0.; |
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2 | q_dot << 0.; |
| 113 | |||
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2 | joint_model.calc(joint_data, q, q_dot); |
| 115 | |||
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2 | BOOST_CHECK(expected_configuration.rotation().isApprox(joint_data.M.rotation(), 1e-12)); |
| 117 |
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2 | BOOST_CHECK(expected_configuration.translation().isApprox(joint_data.M.translation(), 1e-12)); |
| 118 |
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2 | BOOST_CHECK(expected_v_J.toVector().isApprox(((Motion)joint_data.v).toVector(), 1e-12)); |
| 119 |
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2 | BOOST_CHECK(expected_c_J.isApprox((Motion)joint_data.c, 1e-12)); |
| 120 | |||
| 121 | // ------- | ||
| 122 |
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2 | q << 1.; |
| 123 |
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2 | q_dot << 1.; |
| 124 | |||
| 125 |
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2 | joint_model.calc(joint_data, q, q_dot); |
| 126 | |||
| 127 |
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2 | expected_configuration.translation() << 1, 0, 0; |
| 128 | |||
| 129 |
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2 | expected_v_J.linear() << 1., 0., 0.; |
| 130 | |||
| 131 |
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2 | BOOST_CHECK(expected_configuration.rotation().isApprox(joint_data.M.rotation(), 1e-12)); |
| 132 |
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2 | BOOST_CHECK(expected_configuration.translation().isApprox(joint_data.M.translation(), 1e-12)); |
| 133 |
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2 | BOOST_CHECK(expected_v_J.toVector().isApprox(((Motion)joint_data.v).toVector(), 1e-12)); |
| 134 |
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2 | BOOST_CHECK(expected_c_J.isApprox((Motion)joint_data.c, 1e-12)); |
| 135 | 2 | } | |
| 136 | |||
| 137 |
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|
4 | BOOST_AUTO_TEST_CASE(test_rnea) |
| 138 | { | ||
| 139 | using namespace pinocchio; | ||
| 140 | typedef SE3::Vector3 Vector3; | ||
| 141 | typedef SE3::Matrix3 Matrix3; | ||
| 142 | |||
| 143 |
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2 | Model model; |
| 144 |
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2 | Inertia inertia(1., Vector3(0.5, 0., 0.0), Matrix3::Identity()); |
| 145 | |||
| 146 |
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10 | addJointAndBody( |
| 147 |
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8 | model, JointModelPX(), model.getJointId("universe"), SE3::Identity(), "root", inertia); |
| 148 | |||
| 149 |
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2 | Data data(model); |
| 150 | |||
| 151 |
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2 | Eigen::VectorXd q(Eigen::VectorXd::Zero(model.nq)); |
| 152 |
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2 | Eigen::VectorXd v(Eigen::VectorXd::Zero(model.nv)); |
| 153 |
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2 | Eigen::VectorXd a(Eigen::VectorXd::Zero(model.nv)); |
| 154 | |||
| 155 |
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2 | rnea(model, data, q, v, a); |
| 156 | |||
| 157 |
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2 | Eigen::VectorXd tau_expected(Eigen::VectorXd::Zero(model.nq)); |
| 158 |
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2 | tau_expected << 0; |
| 159 | |||
| 160 |
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2 | BOOST_CHECK(tau_expected.isApprox(data.tau, 1e-14)); |
| 161 | |||
| 162 | // ----- | ||
| 163 |
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2 | q = Eigen::VectorXd::Ones(model.nq); |
| 164 |
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2 | v = Eigen::VectorXd::Ones(model.nv); |
| 165 |
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2 | a = Eigen::VectorXd::Ones(model.nv); |
| 166 | |||
| 167 |
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2 | rnea(model, data, q, v, a); |
| 168 |
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2 | tau_expected << 1; |
| 169 | |||
| 170 |
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2 | BOOST_CHECK(tau_expected.isApprox(data.tau, 1e-12)); |
| 171 | |||
| 172 |
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2 | q << 3; |
| 173 |
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2 | v = Eigen::VectorXd::Ones(model.nv); |
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2 | a = Eigen::VectorXd::Ones(model.nv); |
| 175 | |||
| 176 |
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2 | rnea(model, data, q, v, a); |
| 177 |
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2 | tau_expected << 1; |
| 178 | |||
| 179 |
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2 | BOOST_CHECK(tau_expected.isApprox(data.tau, 1e-12)); |
| 180 | 2 | } | |
| 181 | |||
| 182 |
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|
4 | BOOST_AUTO_TEST_CASE(test_crba) |
| 183 | { | ||
| 184 | using namespace pinocchio; | ||
| 185 | using namespace std; | ||
| 186 | typedef SE3::Vector3 Vector3; | ||
| 187 | typedef SE3::Matrix3 Matrix3; | ||
| 188 | |||
| 189 |
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2 | Model model; |
| 190 |
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2 | Inertia inertia(1., Vector3(0.5, 0., 0.0), Matrix3::Identity()); |
| 191 | |||
| 192 |
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10 | addJointAndBody( |
| 193 |
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8 | model, JointModelPX(), model.getJointId("universe"), SE3::Identity(), "root", inertia); |
| 194 | |||
| 195 |
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2 | Data data(model); |
| 196 | |||
| 197 |
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2 | Eigen::VectorXd q(Eigen::VectorXd::Zero(model.nq)); |
| 198 |
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2 | Eigen::MatrixXd M_expected(model.nv, model.nv); |
| 199 | |||
| 200 |
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2 | crba(model, data, q, Convention::WORLD); |
| 201 |
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2 | M_expected << 1.0; |
| 202 | |||
| 203 |
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2 | BOOST_CHECK(M_expected.isApprox(data.M, 1e-14)); |
| 204 | |||
| 205 |
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2 | q = Eigen::VectorXd::Ones(model.nq); |
| 206 | |||
| 207 |
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2 | crba(model, data, q, Convention::WORLD); |
| 208 | |||
| 209 |
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2 | BOOST_CHECK(M_expected.isApprox(data.M, 1e-12)); |
| 210 | |||
| 211 |
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2 | q << 3; |
| 212 | |||
| 213 |
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2 | crba(model, data, q, Convention::WORLD); |
| 214 | |||
| 215 |
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2 | BOOST_CHECK(M_expected.isApprox(data.M, 1e-10)); |
| 216 | 2 | } | |
| 217 | |||
| 218 | BOOST_AUTO_TEST_SUITE_END() | ||
| 219 | |||
| 220 | BOOST_AUTO_TEST_SUITE(JointPrismaticUnaligned) | ||
| 221 | |||
| 222 |
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|
4 | BOOST_AUTO_TEST_CASE(spatial) |
| 223 | { | ||
| 224 |
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2 | SE3 M(SE3::Random()); |
| 225 |
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2 | Motion v(Motion::Random()); |
| 226 | |||
| 227 |
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2 | MotionPrismaticUnaligned mp(MotionPrismaticUnaligned::Vector3(1., 2., 3.), 6.); |
| 228 |
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2 | Motion mp_dense(mp); |
| 229 | |||
| 230 |
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2 | BOOST_CHECK(M.act(mp).isApprox(M.act(mp_dense))); |
| 231 |
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2 | BOOST_CHECK(M.actInv(mp).isApprox(M.actInv(mp_dense))); |
| 232 | |||
| 233 |
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2 | BOOST_CHECK(v.cross(mp).isApprox(v.cross(mp_dense))); |
| 234 | 2 | } | |
| 235 | |||
| 236 |
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4 | BOOST_AUTO_TEST_CASE(vsPX) |
| 237 | { | ||
| 238 | using namespace pinocchio; | ||
| 239 | typedef SE3::Vector3 Vector3; | ||
| 240 | typedef SE3::Matrix3 Matrix3; | ||
| 241 | |||
| 242 |
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2 | Eigen::Vector3d axis; |
| 243 |
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2 | axis << 1.0, 0.0, 0.0; |
| 244 | |||
| 245 |
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2 | Model modelPX, modelPrismaticUnaligned; |
| 246 | |||
| 247 |
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2 | Inertia inertia(1., Vector3(0.5, 0., 0.0), Matrix3::Identity()); |
| 248 |
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2 | SE3 pos(1); |
| 249 |
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2 | pos.translation() = SE3::LinearType(1., 0., 0.); |
| 250 | |||
| 251 |
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2 | JointModelPrismaticUnaligned joint_model_PU(axis); |
| 252 | |||
| 253 |
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2 | addJointAndBody(modelPX, JointModelPX(), 0, pos, "px", inertia); |
| 254 |
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2 | addJointAndBody(modelPrismaticUnaligned, joint_model_PU, 0, pos, "prismatic-unaligned", inertia); |
| 255 | |||
| 256 |
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2 | Data dataPX(modelPX); |
| 257 |
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2 | Data dataPrismaticUnaligned(modelPrismaticUnaligned); |
| 258 | |||
| 259 |
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2 | Eigen::VectorXd q = Eigen::VectorXd::Ones(modelPX.nq); |
| 260 |
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2 | Eigen::VectorXd v = Eigen::VectorXd::Ones(modelPX.nv); |
| 261 |
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2 | Eigen::VectorXd tauPX = Eigen::VectorXd::Ones(modelPX.nv); |
| 262 |
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2 | Eigen::VectorXd tauPrismaticUnaligned = Eigen::VectorXd::Ones(modelPrismaticUnaligned.nv); |
| 263 |
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2 | Eigen::VectorXd aPX = Eigen::VectorXd::Ones(modelPX.nv); |
| 264 |
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2 | Eigen::VectorXd aPrismaticUnaligned(aPX); |
| 265 | |||
| 266 |
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2 | forwardKinematics(modelPX, dataPX, q, v); |
| 267 |
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2 | forwardKinematics(modelPrismaticUnaligned, dataPrismaticUnaligned, q, v); |
| 268 | |||
| 269 |
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2 | computeAllTerms(modelPX, dataPX, q, v); |
| 270 |
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2 | computeAllTerms(modelPrismaticUnaligned, dataPrismaticUnaligned, q, v); |
| 271 | |||
| 272 |
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2 | BOOST_CHECK(dataPrismaticUnaligned.oMi[1].isApprox(dataPX.oMi[1])); |
| 273 |
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2 | BOOST_CHECK(dataPrismaticUnaligned.liMi[1].isApprox(dataPX.liMi[1])); |
| 274 |
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2 | BOOST_CHECK(dataPrismaticUnaligned.Ycrb[1].matrix().isApprox(dataPX.Ycrb[1].matrix())); |
| 275 |
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2 | BOOST_CHECK(dataPrismaticUnaligned.f[1].toVector().isApprox(dataPX.f[1].toVector())); |
| 276 | |||
| 277 |
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2 | BOOST_CHECK(dataPrismaticUnaligned.nle.isApprox(dataPX.nle)); |
| 278 |
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2 | BOOST_CHECK(dataPrismaticUnaligned.com[0].isApprox(dataPX.com[0])); |
| 279 | |||
| 280 | // InverseDynamics == rnea | ||
| 281 |
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2 | tauPX = rnea(modelPX, dataPX, q, v, aPX); |
| 282 | tauPrismaticUnaligned = | ||
| 283 |
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2 | rnea(modelPrismaticUnaligned, dataPrismaticUnaligned, q, v, aPrismaticUnaligned); |
| 284 | |||
| 285 |
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2 | BOOST_CHECK(tauPX.isApprox(tauPrismaticUnaligned)); |
| 286 | |||
| 287 | // ForwardDynamics == aba | ||
| 288 |
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2 | Eigen::VectorXd aAbaPX = aba(modelPX, dataPX, q, v, tauPX, Convention::WORLD); |
| 289 |
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2 | Eigen::VectorXd aAbaPrismaticUnaligned = aba( |
| 290 | modelPrismaticUnaligned, dataPrismaticUnaligned, q, v, tauPrismaticUnaligned, | ||
| 291 |
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2 | Convention::WORLD); |
| 292 | |||
| 293 |
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2 | BOOST_CHECK(aAbaPX.isApprox(aAbaPrismaticUnaligned)); |
| 294 | |||
| 295 | // crba | ||
| 296 |
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2 | crba(modelPX, dataPX, q, Convention::WORLD); |
| 297 |
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2 | crba(modelPrismaticUnaligned, dataPrismaticUnaligned, q, Convention::WORLD); |
| 298 | |||
| 299 |
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2 | BOOST_CHECK(dataPX.M.isApprox(dataPrismaticUnaligned.M)); |
| 300 | |||
| 301 | // Jacobian | ||
| 302 |
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2 | Eigen::Matrix<double, 6, Eigen::Dynamic> jacobianPX; |
| 303 |
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2 | jacobianPX.resize(6, 1); |
| 304 |
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2 | jacobianPX.setZero(); |
| 305 |
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2 | Eigen::Matrix<double, 6, Eigen::Dynamic> jacobianPrismaticUnaligned; |
| 306 |
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2 | jacobianPrismaticUnaligned.resize(6, 1); |
| 307 |
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2 | jacobianPrismaticUnaligned.setZero(); |
| 308 |
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2 | computeJointJacobians(modelPX, dataPX, q); |
| 309 |
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2 | computeJointJacobians(modelPrismaticUnaligned, dataPrismaticUnaligned, q); |
| 310 |
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2 | getJointJacobian(modelPX, dataPX, 1, LOCAL, jacobianPX); |
| 311 |
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2 | getJointJacobian( |
| 312 | modelPrismaticUnaligned, dataPrismaticUnaligned, 1, LOCAL, jacobianPrismaticUnaligned); | ||
| 313 | |||
| 314 |
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2 | BOOST_CHECK(jacobianPX.isApprox(jacobianPrismaticUnaligned)); |
| 315 | 2 | } | |
| 316 | |||
| 317 | BOOST_AUTO_TEST_SUITE_END() | ||
| 318 |