GCC Code Coverage Report


Directory: ./
File: unittest/joint-helical.cpp
Date: 2025-02-12 21:03:38
Exec Total Coverage
Lines: 154 154 100.0%
Branches: 640 1280 50.0%

Line Branch Exec Source
1 //
2 // Copyright (c) 2022 CNRS INRIA
3 //
4
5 #include "pinocchio/math/fwd.hpp"
6 #include "pinocchio/multibody/joint/joints.hpp"
7 #include "pinocchio/algorithm/rnea.hpp"
8 #include "pinocchio/algorithm/aba.hpp"
9 #include "pinocchio/algorithm/crba.hpp"
10 #include "pinocchio/algorithm/jacobian.hpp"
11 #include "pinocchio/algorithm/compute-all-terms.hpp"
12
13 #include <boost/test/unit_test.hpp>
14
15 using namespace pinocchio;
16
17 template<typename D>
18 10 void addJointAndBody(
19 Model & model,
20 const JointModelBase<D> & jmodel,
21 const Model::JointIndex parent_id,
22 const SE3 & joint_placement,
23 const std::string & joint_name,
24 const Inertia & Y)
25 {
26 Model::JointIndex idx;
27
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10 idx = model.addJoint(parent_id, jmodel, joint_placement, joint_name);
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10 model.appendBodyToJoint(idx, Y);
30 10 }
31
32 BOOST_AUTO_TEST_SUITE(JointHelical)
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4 BOOST_AUTO_TEST_CASE(vsPXRX)
35 {
36 typedef SE3::Vector3 Vector3;
37 typedef SE3::Matrix3 Matrix3;
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2 Model modelHX, modelPXRX;
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2 Inertia inertia(1., Vector3(0., 0., 0.0), Matrix3::Identity());
42 // Important to have the same mass for both systems, otherwise COM position not the same
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2 Inertia inertia_zero_mass(0., Vector3(0.0, 0.0, 0.0), Matrix3::Identity());
44 2 const double h = 0.4;
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2 JointModelHX joint_model_HX(h);
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2 addJointAndBody(modelHX, joint_model_HX, 0, SE3::Identity(), "helical x", inertia);
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2 JointModelPX joint_model_PX;
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2 JointModelRX joint_model_RX;
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2 addJointAndBody(modelPXRX, joint_model_PX, 0, SE3::Identity(), "prismatic x", inertia);
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2 addJointAndBody(modelPXRX, joint_model_RX, 1, SE3::Identity(), "revolute x", inertia_zero_mass);
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2 Data dataHX(modelHX);
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2 Data dataPXRX(modelPXRX);
56
57 // Set the prismatic joint to corresponding displacement, velocit and acceleration
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2 Eigen::VectorXd q_hx = Eigen::VectorXd::Ones(modelHX.nq); // dim 1
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2 Eigen::VectorXd q_PXRX = Eigen::VectorXd::Ones(modelPXRX.nq); // dim 2
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2 q_PXRX(0) = q_hx(0) * h;
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2 Eigen::VectorXd v_hx = Eigen::VectorXd::Ones(modelHX.nv);
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2 Eigen::VectorXd v_PXRX = Eigen::VectorXd::Ones(modelPXRX.nv);
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2 v_PXRX(0) = v_hx(0) * h;
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2 Eigen::VectorXd tauHX = Eigen::VectorXd::Ones(modelHX.nv);
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2 Eigen::VectorXd tauPXRX = Eigen::VectorXd::Ones(modelPXRX.nv);
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2 Eigen::VectorXd aHX = Eigen::VectorXd::Ones(modelHX.nv);
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2 Eigen::VectorXd aPXRX = Eigen::VectorXd::Ones(modelPXRX.nv);
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2 aPXRX(0) = aHX(0) * h * h;
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2 forwardKinematics(modelHX, dataHX, q_hx, v_hx);
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2 forwardKinematics(modelPXRX, dataPXRX, q_PXRX, v_PXRX);
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2 computeAllTerms(modelHX, dataHX, q_hx, v_hx);
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2 computeAllTerms(modelPXRX, dataPXRX, q_PXRX, v_PXRX);
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2 BOOST_CHECK(dataPXRX.oMi[2].isApprox(dataHX.oMi[1]));
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2 BOOST_CHECK((dataPXRX.liMi[2] * dataPXRX.liMi[1]).isApprox(dataHX.liMi[1]));
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2 BOOST_CHECK(dataPXRX.Ycrb[2].matrix().isApprox(dataHX.Ycrb[1].matrix()));
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2 BOOST_CHECK((dataPXRX.liMi[2].actInv(dataPXRX.f[1])).toVector().isApprox(dataHX.f[1].toVector()));
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2 BOOST_CHECK(
83 (Eigen::Matrix<double, 1, 1>(dataPXRX.nle.dot(Eigen::VectorXd::Ones(2)))).isApprox(dataHX.nle));
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2 BOOST_CHECK(dataPXRX.com[0].isApprox(dataHX.com[0]));
85
86 // InverseDynamics == rnea
87
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2 tauHX = rnea(modelHX, dataHX, q_hx, v_hx, aHX);
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2 tauPXRX = rnea(modelPXRX, dataPXRX, q_PXRX, v_PXRX, aPXRX);
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2 BOOST_CHECK(tauHX.isApprox(Eigen::Matrix<double, 1, 1>(tauPXRX.dot(Eigen::VectorXd::Ones(2)))));
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91 // ForwardDynamics == aba
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2 Eigen::VectorXd aAbaHX = aba(modelHX, dataHX, q_hx, v_hx, tauHX, Convention::WORLD);
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2 Eigen::VectorXd aAbaPXRX = aba(modelPXRX, dataPXRX, q_PXRX, v_PXRX, tauPXRX, Convention::WORLD);
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2 BOOST_CHECK(aAbaHX.isApprox(aHX));
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2 BOOST_CHECK(aAbaPXRX.isApprox(aPXRX));
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2 BOOST_CHECK(aAbaPXRX.isApprox(Eigen::Matrix<double, 2, 1>(aHX(0) * h * h, aHX(0))));
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2 aAbaHX = aba(modelHX, dataHX, q_hx, v_hx, tauHX, Convention::LOCAL);
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2 aAbaPXRX = aba(modelPXRX, dataPXRX, q_PXRX, v_PXRX, tauPXRX, Convention::LOCAL);
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2 BOOST_CHECK(aAbaHX.isApprox(aHX));
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2 BOOST_CHECK(aAbaPXRX.isApprox(aPXRX));
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2 BOOST_CHECK(aAbaPXRX.isApprox(Eigen::Matrix<double, 2, 1>(aHX(0) * h * h, aHX(0))));
105
106 // crba
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2 crba(modelHX, dataHX, q_hx, Convention::WORLD);
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2 crba(modelPXRX, dataPXRX, q_PXRX, Convention::WORLD);
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2 tauHX = dataHX.M * aHX;
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2 tauPXRX = dataPXRX.M * aPXRX;
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2 BOOST_CHECK(tauHX.isApprox(Eigen::Matrix<double, 1, 1>(tauPXRX.dot(Eigen::VectorXd::Ones(2)))));
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2 crba(modelHX, dataHX, q_hx, Convention::LOCAL);
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2 crba(modelPXRX, dataPXRX, q_PXRX, Convention::LOCAL);
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2 tauHX = dataHX.M * aHX;
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2 tauPXRX = dataPXRX.M * aPXRX;
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2 BOOST_CHECK(tauHX.isApprox(Eigen::Matrix<double, 1, 1>(tauPXRX.dot(Eigen::VectorXd::Ones(2)))));
122
123 // Jacobian
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2 computeJointJacobians(modelHX, dataHX, q_hx);
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2 computeJointJacobians(modelPXRX, dataPXRX, q_PXRX);
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2 Eigen::VectorXd v_body_hx = dataHX.J * v_hx;
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2 Eigen::VectorXd v_body_PXRX = dataPXRX.J * v_PXRX;
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2 BOOST_CHECK(v_body_hx.isApprox(v_body_PXRX));
129 2 }
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4 BOOST_AUTO_TEST_CASE(spatial)
132 {
133 typedef TransformHelicalTpl<double, 0, 0> TransformX;
134 typedef TransformHelicalTpl<double, 0, 1> TransformY;
135 typedef TransformHelicalTpl<double, 0, 2> TransformZ;
136
137 typedef SE3::Vector3 Vector3;
138
139 2 const double alpha = 0.2, h = 0.1;
140 double sin_alpha, cos_alpha;
141 2 SINCOS(alpha, &sin_alpha, &cos_alpha);
142
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2 SE3 Mplain, Mrand(SE3::Random());
143
144 2 TransformX Mx(sin_alpha, cos_alpha, alpha * h);
145
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2 Mplain = Mx;
146
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2 BOOST_CHECK(Mplain.translation().isApprox(Vector3::UnitX() * alpha * h));
147
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2 BOOST_CHECK(
148 Mplain.rotation().isApprox(Eigen::AngleAxisd(alpha, Vector3::UnitX()).toRotationMatrix()));
149
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2 BOOST_CHECK((Mrand * Mplain).isApprox(Mrand * Mx));
150
151 2 TransformY My(sin_alpha, cos_alpha, alpha * h);
152
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2 Mplain = My;
153
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2 BOOST_CHECK(Mplain.translation().isApprox(Vector3::UnitY() * alpha * h));
154
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2 BOOST_CHECK(
155 Mplain.rotation().isApprox(Eigen::AngleAxisd(alpha, Vector3::UnitY()).toRotationMatrix()));
156
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2 BOOST_CHECK((Mrand * Mplain).isApprox(Mrand * My));
157
158 2 TransformZ Mz(sin_alpha, cos_alpha, alpha * h);
159
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2 Mplain = Mz;
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2 BOOST_CHECK(Mplain.translation().isApprox(Vector3::UnitZ() * alpha * h));
161
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2 BOOST_CHECK(
162 Mplain.rotation().isApprox(Eigen::AngleAxisd(alpha, Vector3::UnitZ()).toRotationMatrix()));
163
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2 BOOST_CHECK((Mrand * Mplain).isApprox(Mrand * Mz));
164
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2 SE3 M(SE3::Random());
166
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2 Motion v(Motion::Random());
167
168 2 MotionHelicalTpl<double, 0, 0> mh_x(2., h);
169
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2 Motion mh_dense_x(mh_x);
170
171
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2 BOOST_CHECK(M.act(mh_x).isApprox(M.act(mh_dense_x)));
172
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2 BOOST_CHECK(M.actInv(mh_x).isApprox(M.actInv(mh_dense_x)));
173
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2 BOOST_CHECK(v.cross(mh_x).isApprox(v.cross(mh_dense_x)));
175
176 2 MotionHelicalTpl<double, 0, 1> mh_y(2., h);
177
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2 Motion mh_dense_y(mh_y);
178
179
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2 BOOST_CHECK(M.act(mh_y).isApprox(M.act(mh_dense_y)));
180
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2 BOOST_CHECK(M.actInv(mh_y).isApprox(M.actInv(mh_dense_y)));
181
182
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2 BOOST_CHECK(v.cross(mh_y).isApprox(v.cross(mh_dense_y)));
183
184 2 MotionHelicalTpl<double, 0, 2> mh_z(2., h);
185
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2 Motion mh_dense_z(mh_z);
186
187
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2 BOOST_CHECK(M.act(mh_z).isApprox(M.act(mh_dense_z)));
188
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2 BOOST_CHECK(M.actInv(mh_z).isApprox(M.actInv(mh_dense_z)));
189
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2 BOOST_CHECK(v.cross(mh_z).isApprox(v.cross(mh_dense_z)));
191 2 }
192 BOOST_AUTO_TEST_SUITE_END()
193
194 BOOST_AUTO_TEST_SUITE(JointHelicalUnaligned)
195
196
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4 BOOST_AUTO_TEST_CASE(vsHX)
197 {
198 using namespace pinocchio;
199 typedef SE3::Vector3 Vector3;
200 typedef SE3::Matrix3 Matrix3;
201
202
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2 Vector3 axis;
203
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2 axis << 1.0, 0.0, 0.0;
204 2 const double h = 0.2;
205
206
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2 Model modelHX, modelHelicalUnaligned;
207
208
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2 Inertia inertia(1., Vector3(0.0, 0., 0.0), Matrix3::Identity());
209
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2 SE3 pos(1);
210
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2 pos.translation() = SE3::LinearType(1., 0., 0.);
211
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2 JointModelHelicalUnaligned joint_model_HU(axis, h);
213
214
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2 addJointAndBody(modelHX, JointModelHX(h), 0, pos, "HX", inertia);
215
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2 addJointAndBody(modelHelicalUnaligned, joint_model_HU, 0, pos, "Helical-unaligned", inertia);
216
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2 Data dataHX(modelHX);
218
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2 Data dataHelicalUnaligned(modelHelicalUnaligned);
219
220
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2 Eigen::VectorXd q = 3 * Eigen::VectorXd::Ones(modelHX.nq);
221
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2 Eigen::VectorXd v = 30 * Eigen::VectorXd::Ones(modelHX.nv);
222
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2 Eigen::VectorXd tauHX = Eigen::VectorXd::Ones(modelHX.nv);
223
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2 Eigen::VectorXd tauHelicalUnaligned = Eigen::VectorXd::Ones(modelHelicalUnaligned.nv);
224
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2 Eigen::VectorXd aHX = 5 * Eigen::VectorXd::Ones(modelHX.nv);
225
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2 Eigen::VectorXd aHelicalUnaligned(aHX);
226
227
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2 forwardKinematics(modelHX, dataHX, q, v);
228
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2 forwardKinematics(modelHelicalUnaligned, dataHelicalUnaligned, q, v);
229
230
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2 computeAllTerms(modelHX, dataHX, q, v);
231
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2 computeAllTerms(modelHelicalUnaligned, dataHelicalUnaligned, q, v);
232
233
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2 BOOST_CHECK(dataHelicalUnaligned.oMi[1].isApprox(dataHX.oMi[1]));
234
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2 BOOST_CHECK(dataHelicalUnaligned.liMi[1].isApprox(dataHX.liMi[1]));
235
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2 BOOST_CHECK(dataHelicalUnaligned.Ycrb[1].matrix().isApprox(dataHX.Ycrb[1].matrix()));
236
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2 BOOST_CHECK(dataHelicalUnaligned.f[1].toVector().isApprox(dataHX.f[1].toVector()));
237
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2 BOOST_CHECK(dataHelicalUnaligned.nle.isApprox(dataHX.nle));
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2 BOOST_CHECK(dataHelicalUnaligned.com[0].isApprox(dataHX.com[0]));
240
241 // InverseDynamics == rnea
242
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2 tauHX = rnea(modelHX, dataHX, q, v, aHX);
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2 tauHelicalUnaligned = rnea(modelHelicalUnaligned, dataHelicalUnaligned, q, v, aHelicalUnaligned);
244
245
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2 BOOST_CHECK(tauHX.isApprox(tauHelicalUnaligned));
246
247 // ForwardDynamics == aba
248
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2 Eigen::VectorXd aAbaHX = aba(modelHX, dataHX, q, v, tauHX, Convention::WORLD);
249 Eigen::VectorXd aAbaHelicalUnaligned =
250
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2 aba(modelHelicalUnaligned, dataHelicalUnaligned, q, v, tauHelicalUnaligned, Convention::WORLD);
251
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2 BOOST_CHECK(aAbaHX.isApprox(aAbaHelicalUnaligned));
253
254 // crba
255
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2 crba(modelHX, dataHX, q, Convention::WORLD);
256
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2 crba(modelHelicalUnaligned, dataHelicalUnaligned, q, Convention::WORLD);
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2 BOOST_CHECK(dataHX.M.isApprox(dataHelicalUnaligned.M));
259
260 // Jacobian
261
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2 Eigen::Matrix<double, 6, Eigen::Dynamic> jacobianPX;
262
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2 jacobianPX.resize(6, 1);
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2 jacobianPX.setZero();
264
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2 Eigen::Matrix<double, 6, Eigen::Dynamic> jacobianPrismaticUnaligned;
265
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2 jacobianPrismaticUnaligned.resize(6, 1);
266
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2 jacobianPrismaticUnaligned.setZero();
267
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2 computeJointJacobians(modelHX, dataHX, q);
268
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2 computeJointJacobians(modelHelicalUnaligned, dataHelicalUnaligned, q);
269
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2 getJointJacobian(modelHX, dataHX, 1, LOCAL, jacobianPX);
270
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2 getJointJacobian(
271 modelHelicalUnaligned, dataHelicalUnaligned, 1, LOCAL, jacobianPrismaticUnaligned);
272
273
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2 BOOST_CHECK(jacobianPX.isApprox(jacobianPrismaticUnaligned));
274 2 }
275
276 BOOST_AUTO_TEST_SUITE_END()
277