GCC Code Coverage Report


Directory: ./
File: unittest/joint-spherical.cpp
Date: 2025-02-12 21:03:38
Exec Total Coverage
Lines: 165 165 100.0%
Branches: 675 1350 50.0%

Line Branch Exec Source
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 12 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
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12 idx = model.addJoint(parent_id, jmodel, joint_placement, joint_name);
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12 model.appendBodyToJoint(idx, Y);
32 12 }
33
34 BOOST_AUTO_TEST_SUITE(JointSpherical)
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4 BOOST_AUTO_TEST_CASE(spatial)
37 {
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2 SE3 M(SE3::Random());
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2 Motion v(Motion::Random());
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2 MotionSpherical mp(MotionSpherical::Vector3(1., 2., 3.));
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2 Motion mp_dense(mp);
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2 BOOST_CHECK(M.act(mp).isApprox(M.act(mp_dense)));
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2 BOOST_CHECK(M.actInv(mp).isApprox(M.actInv(mp_dense)));
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2 BOOST_CHECK(v.cross(mp).isApprox(v.cross(mp_dense)));
48 2 }
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4 BOOST_AUTO_TEST_CASE(vsFreeFlyer)
51 {
52 using namespace pinocchio;
53 typedef SE3::Vector3 Vector3;
54 typedef Eigen::Matrix<double, 6, 1> Vector6;
55 typedef Eigen::Matrix<double, 7, 1> VectorFF;
56 typedef SE3::Matrix3 Matrix3;
57
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2 Model modelSpherical, modelFreeflyer;
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2 Inertia inertia(1., Vector3(0.5, 0., 0.0), Matrix3::Identity());
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2 SE3 pos(1);
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2 pos.translation() = SE3::LinearType(1., 0., 0.);
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2 addJointAndBody(modelSpherical, JointModelSpherical(), 0, pos, "spherical", inertia);
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2 addJointAndBody(modelFreeflyer, JointModelFreeFlyer(), 0, pos, "free-flyer", inertia);
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2 Data dataSpherical(modelSpherical);
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2 Data dataFreeFlyer(modelFreeflyer);
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2 Eigen::VectorXd q = Eigen::VectorXd::Ones(modelSpherical.nq);
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2 q.normalize();
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2 VectorFF qff;
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2 qff << 0, 0, 0, q[0], q[1], q[2], q[3];
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2 Eigen::VectorXd v = Eigen::VectorXd::Ones(modelSpherical.nv);
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2 Vector6 vff;
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2 vff << 0, 0, 0, 1, 1, 1;
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2 Eigen::VectorXd tauSpherical = Eigen::VectorXd::Ones(modelSpherical.nv);
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2 Eigen::VectorXd tauff;
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2 tauff.resize(7);
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2 tauff << 0, 0, 0, 1, 1, 1, 1;
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2 Eigen::VectorXd aSpherical = Eigen::VectorXd::Ones(modelSpherical.nv);
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2 Eigen::VectorXd aff(vff);
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2 forwardKinematics(modelSpherical, dataSpherical, q, v);
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2 forwardKinematics(modelFreeflyer, dataFreeFlyer, qff, vff);
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2 computeAllTerms(modelSpherical, dataSpherical, q, v);
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2 computeAllTerms(modelFreeflyer, dataFreeFlyer, qff, vff);
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2 BOOST_CHECK(dataFreeFlyer.oMi[1].isApprox(dataSpherical.oMi[1]));
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2 BOOST_CHECK(dataFreeFlyer.liMi[1].isApprox(dataSpherical.liMi[1]));
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2 BOOST_CHECK(dataFreeFlyer.Ycrb[1].matrix().isApprox(dataSpherical.Ycrb[1].matrix()));
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2 BOOST_CHECK(dataFreeFlyer.f[1].toVector().isApprox(dataSpherical.f[1].toVector()));
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2 Eigen::VectorXd nle_expected_ff(3);
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2 nle_expected_ff << dataFreeFlyer.nle[3], dataFreeFlyer.nle[4], dataFreeFlyer.nle[5];
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2 BOOST_CHECK(nle_expected_ff.isApprox(dataSpherical.nle));
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2 BOOST_CHECK(dataFreeFlyer.com[0].isApprox(dataSpherical.com[0]));
99
100 // InverseDynamics == rnea
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2 tauSpherical = rnea(modelSpherical, dataSpherical, q, v, aSpherical);
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2 tauff = rnea(modelFreeflyer, dataFreeFlyer, qff, vff, aff);
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2 Vector3 tau_expected;
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2 tau_expected << tauff(3), tauff(4), tauff(5);
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2 BOOST_CHECK(tauSpherical.isApprox(tau_expected));
107
108 // ForwardDynamics == aba
109 Eigen::VectorXd aAbaSpherical =
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2 aba(modelSpherical, dataSpherical, q, v, tauSpherical, Convention::WORLD);
111 Eigen::VectorXd aAbaFreeFlyer =
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2 aba(modelFreeflyer, dataFreeFlyer, qff, vff, tauff, Convention::WORLD);
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2 Vector3 a_expected;
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2 a_expected << aAbaFreeFlyer[3], aAbaFreeFlyer[4], aAbaFreeFlyer[5];
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2 BOOST_CHECK(aAbaSpherical.isApprox(a_expected));
116
117 // crba
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2 crba(modelSpherical, dataSpherical, q, Convention::WORLD);
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2 crba(modelFreeflyer, dataFreeFlyer, qff, Convention::WORLD);
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2 Eigen::Matrix<double, 3, 3> M_expected(dataFreeFlyer.M.bottomRightCorner<3, 3>());
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2 BOOST_CHECK(dataSpherical.M.isApprox(M_expected));
124
125 // Jacobian
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2 Eigen::Matrix<double, 6, Eigen::Dynamic> jacobian_planar;
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2 jacobian_planar.resize(6, 3);
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2 jacobian_planar.setZero();
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2 Eigen::Matrix<double, 6, Eigen::Dynamic> jacobian_ff;
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2 jacobian_ff.resize(6, 6);
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2 jacobian_ff.setZero();
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2 computeJointJacobians(modelSpherical, dataSpherical, q);
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2 computeJointJacobians(modelFreeflyer, dataFreeFlyer, qff);
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2 getJointJacobian(modelSpherical, dataSpherical, 1, LOCAL, jacobian_planar);
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2 getJointJacobian(modelFreeflyer, dataFreeFlyer, 1, LOCAL, jacobian_ff);
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2 Eigen::Matrix<double, 6, 3> jacobian_expected;
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2 jacobian_expected << jacobian_ff.col(3), jacobian_ff.col(4), jacobian_ff.col(5);
139
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2 BOOST_CHECK(jacobian_planar.isApprox(jacobian_expected));
141 2 }
142 BOOST_AUTO_TEST_SUITE_END()
143
144 BOOST_AUTO_TEST_SUITE(JointSphericalZYX)
145
146
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4 BOOST_AUTO_TEST_CASE(spatial)
147 {
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2 SE3 M(SE3::Random());
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2 Motion v(Motion::Random());
150
151
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2 MotionSpherical mp(MotionSpherical::Vector3(1., 2., 3.));
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2 Motion mp_dense(mp);
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2 BOOST_CHECK(M.act(mp).isApprox(M.act(mp_dense)));
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2 BOOST_CHECK(M.actInv(mp).isApprox(M.actInv(mp_dense)));
156
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2 BOOST_CHECK(v.cross(mp).isApprox(v.cross(mp_dense)));
158 2 }
159
160
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4 BOOST_AUTO_TEST_CASE(vsFreeFlyer)
161 {
162 // WARNIG : Dynamic algorithm's results cannot be compared to FreeFlyer's ones because
163 // of the representation of the rotation and the ConstraintSubspace difference.
164 using namespace pinocchio;
165 typedef SE3::Vector3 Vector3;
166 typedef Eigen::Matrix<double, 6, 1> Vector6;
167 typedef Eigen::Matrix<double, 7, 1> VectorFF;
168 typedef SE3::Matrix3 Matrix3;
169
170
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2 Model modelSphericalZYX, modelFreeflyer;
171
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2 Inertia inertia(1., Vector3(0.5, 0., 0.0), Matrix3::Identity());
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2 SE3 pos(1);
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2 pos.translation() = SE3::LinearType(1., 0., 0.);
175
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2 addJointAndBody(modelSphericalZYX, JointModelSphericalZYX(), 0, pos, "spherical-zyx", inertia);
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2 addJointAndBody(modelFreeflyer, JointModelFreeFlyer(), 0, pos, "free-flyer", inertia);
178
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2 Data dataSphericalZYX(modelSphericalZYX);
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2 Data dataFreeFlyer(modelFreeflyer);
181
182
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2 Eigen::AngleAxisd rollAngle(1, Eigen::Vector3d::UnitZ());
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2 Eigen::AngleAxisd yawAngle(1, Eigen::Vector3d::UnitY());
184
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2 Eigen::AngleAxisd pitchAngle(1, Eigen::Vector3d::UnitX());
185
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2 Eigen::Quaterniond q_sph = rollAngle * yawAngle * pitchAngle;
186
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2 Eigen::VectorXd q = Eigen::VectorXd::Ones(modelSphericalZYX.nq);
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2 VectorFF qff;
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2 qff << 0, 0, 0, q_sph.x(), q_sph.y(), q_sph.z(), q_sph.w();
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2 Eigen::VectorXd v = Eigen::VectorXd::Ones(modelSphericalZYX.nv);
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2 Vector6 vff;
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2 vff << 0, 0, 0, 1, 1, 1;
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2 Eigen::VectorXd tauSpherical = Eigen::VectorXd::Ones(modelSphericalZYX.nv);
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2 Eigen::VectorXd tauff;
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2 tauff.resize(6);
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2 tauff << 0, 0, 0, 1, 1, 1;
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2 Eigen::VectorXd aSpherical = Eigen::VectorXd::Ones(modelSphericalZYX.nv);
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2 Eigen::VectorXd aff(vff);
199
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2 forwardKinematics(modelSphericalZYX, dataSphericalZYX, q, v);
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2 forwardKinematics(modelFreeflyer, dataFreeFlyer, qff, vff);
202
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2 computeAllTerms(modelSphericalZYX, dataSphericalZYX, q, v);
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2 computeAllTerms(modelFreeflyer, dataFreeFlyer, qff, vff);
205
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2 BOOST_CHECK(dataFreeFlyer.oMi[1].isApprox(dataSphericalZYX.oMi[1]));
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2 BOOST_CHECK(dataFreeFlyer.liMi[1].isApprox(dataSphericalZYX.liMi[1]));
208
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2 BOOST_CHECK(dataFreeFlyer.Ycrb[1].matrix().isApprox(dataSphericalZYX.Ycrb[1].matrix()));
209
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2 BOOST_CHECK(dataFreeFlyer.com[0].isApprox(dataSphericalZYX.com[0]));
211 2 }
212
213
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4 BOOST_AUTO_TEST_CASE(test_rnea)
214 {
215 using namespace pinocchio;
216 typedef SE3::Vector3 Vector3;
217 typedef SE3::Matrix3 Matrix3;
218
219
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2 Model model;
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2 Inertia inertia(1., Vector3(0.5, 0., 0.0), Matrix3::Identity());
221
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10 addJointAndBody(
223
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8 model, JointModelSphericalZYX(), model.getJointId("universe"), SE3::Identity(), "root",
224 inertia);
225
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2 Data data(model);
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2 Eigen::VectorXd q = Eigen::VectorXd::Zero(model.nq);
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2 Eigen::VectorXd v = Eigen::VectorXd::Zero(model.nv);
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2 Eigen::VectorXd a = Eigen::VectorXd::Zero(model.nv);
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2 rnea(model, data, q, v, a);
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2 Vector3 tau_expected(0., -4.905, 0.);
234
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2 BOOST_CHECK(tau_expected.isApprox(data.tau, 1e-14));
236
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2 q = Eigen::VectorXd::Ones(model.nq);
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2 v = Eigen::VectorXd::Ones(model.nv);
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2 a = Eigen::VectorXd::Ones(model.nv);
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2 rnea(model, data, q, v, a);
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2 tau_expected << -0.53611600195085, -0.74621832606188, -0.38177329067604;
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2 BOOST_CHECK(tau_expected.isApprox(data.tau, 1e-12));
245
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2 q << 3, 2, 1;
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2 v = Eigen::VectorXd::Ones(model.nv);
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2 a = Eigen::VectorXd::Ones(model.nv);
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2 rnea(model, data, q, v, a);
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2 tau_expected << 0.73934458094049, 2.7804530848031, 0.50684940972146;
252
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2 BOOST_CHECK(tau_expected.isApprox(data.tau, 1e-12));
254 2 }
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4 BOOST_AUTO_TEST_CASE(test_crba)
257 {
258 using namespace pinocchio;
259 using namespace std;
260 typedef SE3::Vector3 Vector3;
261 typedef SE3::Matrix3 Matrix3;
262
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2 Model model;
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2 Inertia inertia(1., Vector3(0.5, 0., 0.0), Matrix3::Identity());
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10 addJointAndBody(
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8 model, JointModelSphericalZYX(), model.getJointId("universe"), SE3::Identity(), "root",
268 inertia);
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2 Data data(model);
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2 Eigen::VectorXd q(Eigen::VectorXd::Zero(model.nq));
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2 Eigen::MatrixXd M_expected(model.nv, model.nv);
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2 crba(model, data, q, Convention::WORLD);
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2 M_expected << 1.25, 0, 0, 0, 1.25, 0, 0, 0, 1;
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2 BOOST_CHECK(M_expected.isApprox(data.M, 1e-14));
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2 q = Eigen::VectorXd::Ones(model.nq);
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2 crba(model, data, q, Convention::WORLD);
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4 M_expected << 1.0729816454316, -5.5511151231258e-17, -0.8414709848079, -5.5511151231258e-17, 1.25,
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2 0, -0.8414709848079, 0, 1;
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2 BOOST_CHECK(M_expected.isApprox(data.M, 1e-12));
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2 q << 3, 2, 1;
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2 crba(model, data, q, Convention::WORLD);
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4 M_expected << 1.043294547392, 2.7755575615629e-17, -0.90929742682568, 0, 1.25, 0,
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2 -0.90929742682568, 0, 1;
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2 BOOST_CHECK(M_expected.isApprox(data.M, 1e-10));
295 2 }
296
297 BOOST_AUTO_TEST_SUITE_END()
298