Directory: | ./ |
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File: | unittest/joint-spherical.cpp |
Date: | 2025-02-12 21:03:38 |
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Lines: | 165 | 165 | 100.0% |
Branches: | 675 | 1350 | 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 | 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 | |||
30 |
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12 | idx = model.addJoint(parent_id, jmodel, joint_placement, joint_name); |
31 |
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12 | model.appendBodyToJoint(idx, Y); |
32 | 12 | } | |
33 | |||
34 | BOOST_AUTO_TEST_SUITE(JointSpherical) | ||
35 | |||
36 |
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4 | BOOST_AUTO_TEST_CASE(spatial) |
37 | { | ||
38 |
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2 | SE3 M(SE3::Random()); |
39 |
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2 | Motion v(Motion::Random()); |
40 | |||
41 |
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2 | MotionSpherical mp(MotionSpherical::Vector3(1., 2., 3.)); |
42 |
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2 | Motion mp_dense(mp); |
43 | |||
44 |
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2 | BOOST_CHECK(M.act(mp).isApprox(M.act(mp_dense))); |
45 |
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2 | BOOST_CHECK(M.actInv(mp).isApprox(M.actInv(mp_dense))); |
46 | |||
47 |
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2 | BOOST_CHECK(v.cross(mp).isApprox(v.cross(mp_dense))); |
48 | 2 | } | |
49 | |||
50 |
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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 | |||
58 |
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2 | Model modelSpherical, modelFreeflyer; |
59 | |||
60 |
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2 | Inertia inertia(1., Vector3(0.5, 0., 0.0), Matrix3::Identity()); |
61 |
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2 | SE3 pos(1); |
62 |
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2 | pos.translation() = SE3::LinearType(1., 0., 0.); |
63 | |||
64 |
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2 | addJointAndBody(modelSpherical, JointModelSpherical(), 0, pos, "spherical", inertia); |
65 |
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2 | addJointAndBody(modelFreeflyer, JointModelFreeFlyer(), 0, pos, "free-flyer", inertia); |
66 | |||
67 |
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2 | Data dataSpherical(modelSpherical); |
68 |
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2 | Data dataFreeFlyer(modelFreeflyer); |
69 | |||
70 |
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2 | Eigen::VectorXd q = Eigen::VectorXd::Ones(modelSpherical.nq); |
71 |
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2 | q.normalize(); |
72 |
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2 | VectorFF qff; |
73 |
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2 | qff << 0, 0, 0, q[0], q[1], q[2], q[3]; |
74 |
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2 | Eigen::VectorXd v = Eigen::VectorXd::Ones(modelSpherical.nv); |
75 |
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2 | Vector6 vff; |
76 |
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2 | vff << 0, 0, 0, 1, 1, 1; |
77 |
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2 | Eigen::VectorXd tauSpherical = Eigen::VectorXd::Ones(modelSpherical.nv); |
78 |
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2 | Eigen::VectorXd tauff; |
79 |
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2 | tauff.resize(7); |
80 |
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2 | tauff << 0, 0, 0, 1, 1, 1, 1; |
81 |
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2 | Eigen::VectorXd aSpherical = Eigen::VectorXd::Ones(modelSpherical.nv); |
82 |
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2 | Eigen::VectorXd aff(vff); |
83 | |||
84 |
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2 | forwardKinematics(modelSpherical, dataSpherical, q, v); |
85 |
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2 | forwardKinematics(modelFreeflyer, dataFreeFlyer, qff, vff); |
86 | |||
87 |
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2 | computeAllTerms(modelSpherical, dataSpherical, q, v); |
88 |
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2 | computeAllTerms(modelFreeflyer, dataFreeFlyer, qff, vff); |
89 | |||
90 |
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2 | BOOST_CHECK(dataFreeFlyer.oMi[1].isApprox(dataSpherical.oMi[1])); |
91 |
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2 | BOOST_CHECK(dataFreeFlyer.liMi[1].isApprox(dataSpherical.liMi[1])); |
92 |
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2 | BOOST_CHECK(dataFreeFlyer.Ycrb[1].matrix().isApprox(dataSpherical.Ycrb[1].matrix())); |
93 |
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2 | BOOST_CHECK(dataFreeFlyer.f[1].toVector().isApprox(dataSpherical.f[1].toVector())); |
94 | |||
95 |
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2 | Eigen::VectorXd nle_expected_ff(3); |
96 |
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2 | nle_expected_ff << dataFreeFlyer.nle[3], dataFreeFlyer.nle[4], dataFreeFlyer.nle[5]; |
97 |
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2 | BOOST_CHECK(nle_expected_ff.isApprox(dataSpherical.nle)); |
98 |
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2 | BOOST_CHECK(dataFreeFlyer.com[0].isApprox(dataSpherical.com[0])); |
99 | |||
100 | // InverseDynamics == rnea | ||
101 |
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2 | tauSpherical = rnea(modelSpherical, dataSpherical, q, v, aSpherical); |
102 |
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2 | tauff = rnea(modelFreeflyer, dataFreeFlyer, qff, vff, aff); |
103 | |||
104 |
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2 | Vector3 tau_expected; |
105 |
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2 | tau_expected << tauff(3), tauff(4), tauff(5); |
106 |
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2 | BOOST_CHECK(tauSpherical.isApprox(tau_expected)); |
107 | |||
108 | // ForwardDynamics == aba | ||
109 | Eigen::VectorXd aAbaSpherical = | ||
110 |
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2 | aba(modelSpherical, dataSpherical, q, v, tauSpherical, Convention::WORLD); |
111 | Eigen::VectorXd aAbaFreeFlyer = | ||
112 |
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2 | aba(modelFreeflyer, dataFreeFlyer, qff, vff, tauff, Convention::WORLD); |
113 |
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2 | Vector3 a_expected; |
114 |
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2 | a_expected << aAbaFreeFlyer[3], aAbaFreeFlyer[4], aAbaFreeFlyer[5]; |
115 |
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2 | BOOST_CHECK(aAbaSpherical.isApprox(a_expected)); |
116 | |||
117 | // crba | ||
118 |
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2 | crba(modelSpherical, dataSpherical, q, Convention::WORLD); |
119 |
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2 | crba(modelFreeflyer, dataFreeFlyer, qff, Convention::WORLD); |
120 | |||
121 |
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2 | Eigen::Matrix<double, 3, 3> M_expected(dataFreeFlyer.M.bottomRightCorner<3, 3>()); |
122 | |||
123 |
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2 | BOOST_CHECK(dataSpherical.M.isApprox(M_expected)); |
124 | |||
125 | // Jacobian | ||
126 |
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2 | Eigen::Matrix<double, 6, Eigen::Dynamic> jacobian_planar; |
127 |
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2 | jacobian_planar.resize(6, 3); |
128 |
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2 | jacobian_planar.setZero(); |
129 |
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2 | Eigen::Matrix<double, 6, Eigen::Dynamic> jacobian_ff; |
130 |
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2 | jacobian_ff.resize(6, 6); |
131 |
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2 | jacobian_ff.setZero(); |
132 |
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2 | computeJointJacobians(modelSpherical, dataSpherical, q); |
133 |
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2 | computeJointJacobians(modelFreeflyer, dataFreeFlyer, qff); |
134 |
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2 | getJointJacobian(modelSpherical, dataSpherical, 1, LOCAL, jacobian_planar); |
135 |
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2 | getJointJacobian(modelFreeflyer, dataFreeFlyer, 1, LOCAL, jacobian_ff); |
136 | |||
137 |
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2 | Eigen::Matrix<double, 6, 3> jacobian_expected; |
138 |
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2 | jacobian_expected << jacobian_ff.col(3), jacobian_ff.col(4), jacobian_ff.col(5); |
139 | |||
140 |
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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 | { | ||
148 |
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2 | SE3 M(SE3::Random()); |
149 |
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2 | Motion v(Motion::Random()); |
150 | |||
151 |
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2 | MotionSpherical mp(MotionSpherical::Vector3(1., 2., 3.)); |
152 |
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2 | Motion mp_dense(mp); |
153 | |||
154 |
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2 | BOOST_CHECK(M.act(mp).isApprox(M.act(mp_dense))); |
155 |
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2 | BOOST_CHECK(M.actInv(mp).isApprox(M.actInv(mp_dense))); |
156 | |||
157 |
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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 | |||
172 |
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2 | Inertia inertia(1., Vector3(0.5, 0., 0.0), Matrix3::Identity()); |
173 |
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2 | SE3 pos(1); |
174 |
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2 | pos.translation() = SE3::LinearType(1., 0., 0.); |
175 | |||
176 |
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2 | addJointAndBody(modelSphericalZYX, JointModelSphericalZYX(), 0, pos, "spherical-zyx", inertia); |
177 |
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2 | addJointAndBody(modelFreeflyer, JointModelFreeFlyer(), 0, pos, "free-flyer", inertia); |
178 | |||
179 |
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2 | Data dataSphericalZYX(modelSphericalZYX); |
180 |
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2 | Data dataFreeFlyer(modelFreeflyer); |
181 | |||
182 |
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2 | Eigen::AngleAxisd rollAngle(1, Eigen::Vector3d::UnitZ()); |
183 |
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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 | |||
187 |
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2 | Eigen::VectorXd q = Eigen::VectorXd::Ones(modelSphericalZYX.nq); |
188 |
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2 | VectorFF qff; |
189 |
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2 | qff << 0, 0, 0, q_sph.x(), q_sph.y(), q_sph.z(), q_sph.w(); |
190 |
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2 | Eigen::VectorXd v = Eigen::VectorXd::Ones(modelSphericalZYX.nv); |
191 |
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2 | Vector6 vff; |
192 |
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2 | vff << 0, 0, 0, 1, 1, 1; |
193 |
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2 | Eigen::VectorXd tauSpherical = Eigen::VectorXd::Ones(modelSphericalZYX.nv); |
194 |
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2 | Eigen::VectorXd tauff; |
195 |
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2 | tauff.resize(6); |
196 |
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2 | tauff << 0, 0, 0, 1, 1, 1; |
197 |
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2 | Eigen::VectorXd aSpherical = Eigen::VectorXd::Ones(modelSphericalZYX.nv); |
198 |
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2 | Eigen::VectorXd aff(vff); |
199 | |||
200 |
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2 | forwardKinematics(modelSphericalZYX, dataSphericalZYX, q, v); |
201 |
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2 | forwardKinematics(modelFreeflyer, dataFreeFlyer, qff, vff); |
202 | |||
203 |
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2 | computeAllTerms(modelSphericalZYX, dataSphericalZYX, q, v); |
204 |
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2 | computeAllTerms(modelFreeflyer, dataFreeFlyer, qff, vff); |
205 | |||
206 |
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2 | BOOST_CHECK(dataFreeFlyer.oMi[1].isApprox(dataSphericalZYX.oMi[1])); |
207 |
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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 | |||
210 |
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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; |
220 |
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2 | Inertia inertia(1., Vector3(0.5, 0., 0.0), Matrix3::Identity()); |
221 | |||
222 |
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10 | addJointAndBody( |
223 |
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8 | model, JointModelSphericalZYX(), model.getJointId("universe"), SE3::Identity(), "root", |
224 | inertia); | ||
225 | |||
226 |
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2 | Data data(model); |
227 | |||
228 |
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2 | Eigen::VectorXd q = Eigen::VectorXd::Zero(model.nq); |
229 |
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2 | Eigen::VectorXd v = Eigen::VectorXd::Zero(model.nv); |
230 |
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2 | Eigen::VectorXd a = Eigen::VectorXd::Zero(model.nv); |
231 | |||
232 |
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2 | rnea(model, data, q, v, a); |
233 |
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2 | Vector3 tau_expected(0., -4.905, 0.); |
234 | |||
235 |
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2 | BOOST_CHECK(tau_expected.isApprox(data.tau, 1e-14)); |
236 | |||
237 |
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2 | q = Eigen::VectorXd::Ones(model.nq); |
238 |
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2 | v = Eigen::VectorXd::Ones(model.nv); |
239 |
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2 | a = Eigen::VectorXd::Ones(model.nv); |
240 | |||
241 |
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2 | rnea(model, data, q, v, a); |
242 |
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2 | tau_expected << -0.53611600195085, -0.74621832606188, -0.38177329067604; |
243 | |||
244 |
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2 | BOOST_CHECK(tau_expected.isApprox(data.tau, 1e-12)); |
245 | |||
246 |
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2 | q << 3, 2, 1; |
247 |
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2 | v = Eigen::VectorXd::Ones(model.nv); |
248 |
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2 | a = Eigen::VectorXd::Ones(model.nv); |
249 | |||
250 |
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2 | rnea(model, data, q, v, a); |
251 |
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2 | tau_expected << 0.73934458094049, 2.7804530848031, 0.50684940972146; |
252 | |||
253 |
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2 | BOOST_CHECK(tau_expected.isApprox(data.tau, 1e-12)); |
254 | 2 | } | |
255 | |||
256 |
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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 | |||
263 |
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2 | Model model; |
264 |
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2 | Inertia inertia(1., Vector3(0.5, 0., 0.0), Matrix3::Identity()); |
265 | |||
266 |
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10 | addJointAndBody( |
267 |
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8 | model, JointModelSphericalZYX(), model.getJointId("universe"), SE3::Identity(), "root", |
268 | inertia); | ||
269 | |||
270 |
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2 | Data data(model); |
271 | |||
272 |
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2 | Eigen::VectorXd q(Eigen::VectorXd::Zero(model.nq)); |
273 |
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2 | Eigen::MatrixXd M_expected(model.nv, model.nv); |
274 | |||
275 |
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2 | crba(model, data, q, Convention::WORLD); |
276 |
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2 | M_expected << 1.25, 0, 0, 0, 1.25, 0, 0, 0, 1; |
277 | |||
278 |
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2 | BOOST_CHECK(M_expected.isApprox(data.M, 1e-14)); |
279 | |||
280 |
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2 | q = Eigen::VectorXd::Ones(model.nq); |
281 | |||
282 |
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2 | crba(model, data, q, Convention::WORLD); |
283 |
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4 | M_expected << 1.0729816454316, -5.5511151231258e-17, -0.8414709848079, -5.5511151231258e-17, 1.25, |
284 |
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2 | 0, -0.8414709848079, 0, 1; |
285 | |||
286 |
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2 | BOOST_CHECK(M_expected.isApprox(data.M, 1e-12)); |
287 | |||
288 |
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2 | q << 3, 2, 1; |
289 | |||
290 |
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2 | crba(model, data, q, Convention::WORLD); |
291 |
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4 | M_expected << 1.043294547392, 2.7755575615629e-17, -0.90929742682568, 0, 1.25, 0, |
292 |
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2 | -0.90929742682568, 0, 1; |
293 | |||
294 |
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2 | BOOST_CHECK(M_expected.isApprox(data.M, 1e-10)); |
295 | 2 | } | |
296 | |||
297 | BOOST_AUTO_TEST_SUITE_END() | ||
298 |