Directory: | ./ |
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File: | unittest/rnea.cpp |
Date: | 2025-02-12 21:03:38 |
Exec | Total | Coverage | |
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Lines: | 184 | 184 | 100.0% |
Branches: | 597 | 1188 | 50.3% |
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1 | // | ||
2 | // Copyright (c) 2015-2020 CNRS INRIA | ||
3 | // | ||
4 | |||
5 | /* | ||
6 | * Unittest of the RNE algorithm. The code simply test that the algorithm does | ||
7 | * not cause any serious errors. The numerical values are not cross validated | ||
8 | * in any way. | ||
9 | * | ||
10 | */ | ||
11 | |||
12 | #include "pinocchio/spatial/fwd.hpp" | ||
13 | #include "pinocchio/multibody/model.hpp" | ||
14 | #include "pinocchio/multibody/data.hpp" | ||
15 | #include "pinocchio/algorithm/rnea.hpp" | ||
16 | #include "pinocchio/algorithm/jacobian.hpp" | ||
17 | #include "pinocchio/algorithm/center-of-mass.hpp" | ||
18 | #include "pinocchio/algorithm/joint-configuration.hpp" | ||
19 | #include "pinocchio/algorithm/crba.hpp" | ||
20 | #include "pinocchio/algorithm/centroidal.hpp" | ||
21 | #include "pinocchio/multibody/sample-models.hpp" | ||
22 | #include "pinocchio/utils/timer.hpp" | ||
23 | |||
24 | #include <iostream> | ||
25 | |||
26 | // #define __SSE3__ | ||
27 | #include <fenv.h> | ||
28 | |||
29 | #ifdef __SSE3__ | ||
30 | #include <pmmintrin.h> | ||
31 | #endif | ||
32 | |||
33 | #include <boost/test/unit_test.hpp> | ||
34 | #include <boost/utility/binary.hpp> | ||
35 | |||
36 | BOOST_AUTO_TEST_SUITE(BOOST_TEST_MODULE) | ||
37 | |||
38 |
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4 | BOOST_AUTO_TEST_CASE(test_rnea) |
39 | { | ||
40 | #ifdef __SSE3__ | ||
41 | _MM_SET_DENORMALS_ZERO_MODE(_MM_DENORMALS_ZERO_ON); | ||
42 | #endif | ||
43 | using namespace Eigen; | ||
44 | using namespace pinocchio; | ||
45 | |||
46 |
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2 | pinocchio::Model model; |
47 |
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2 | buildModels::humanoidRandom(model); |
48 | |||
49 |
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2 | model.lowerPositionLimit.head<3>().fill(-1.); |
50 |
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2 | model.upperPositionLimit.head<3>().fill(1.); |
51 | |||
52 |
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2 | pinocchio::Data data(model); |
53 |
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2 | data.v[0] = Motion::Zero(); |
54 |
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2 | data.a[0] = -model.gravity; |
55 | |||
56 |
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2 | VectorXd q = randomConfiguration(model); |
57 |
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2 | VectorXd v = VectorXd::Random(model.nv); |
58 |
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2 | VectorXd a = VectorXd::Random(model.nv); |
59 | |||
60 | #ifdef NDEBUG | ||
61 | const size_t NBT = 10000; | ||
62 | #else | ||
63 | 2 | const size_t NBT = 1; | |
64 |
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2 | std::cout << "(the time score in debug mode is not relevant) "; |
65 | #endif | ||
66 | |||
67 |
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2 | PinocchioTicToc timer(PinocchioTicToc::US); |
68 |
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2 | timer.tic(); |
69 |
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4 | SMOOTH(NBT) |
70 | { | ||
71 |
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2 | rnea(model, data, q, v, a); |
72 | } | ||
73 |
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2 | timer.toc(std::cout, NBT); |
74 | 2 | } | |
75 | |||
76 |
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4 | BOOST_AUTO_TEST_CASE(test_nle_vs_rnea) |
77 | { | ||
78 | using namespace Eigen; | ||
79 | using namespace pinocchio; | ||
80 | |||
81 |
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2 | pinocchio::Model model; |
82 |
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2 | buildModels::humanoidRandom(model); |
83 | |||
84 |
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2 | model.lowerPositionLimit.head<3>().fill(-1.); |
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2 | model.upperPositionLimit.head<3>().fill(1.); |
86 | |||
87 |
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2 | pinocchio::Data data_nle(model); |
88 |
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2 | pinocchio::Data data_rnea(model); |
89 | |||
90 |
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2 | VectorXd q = randomConfiguration(model); |
91 |
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2 | VectorXd v = VectorXd::Random(model.nv); |
92 | |||
93 |
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2 | VectorXd tau_nle(VectorXd::Zero(model.nv)); |
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2 | VectorXd tau_rnea(VectorXd::Zero(model.nv)); |
95 | |||
96 | // ------- | ||
97 |
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2 | q.tail(model.nq - 7).setZero(); |
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2 | v.setZero(); |
99 | |||
100 |
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2 | tau_nle = nonLinearEffects(model, data_nle, q, v); |
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2 | tau_rnea = rnea(model, data_rnea, q, v, VectorXd::Zero(model.nv)); |
102 | |||
103 |
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2 | BOOST_CHECK(tau_nle.isApprox(tau_rnea, 1e-12)); |
104 | |||
105 | // ------- | ||
106 |
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2 | q.tail(model.nq - 7).setZero(); |
107 |
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2 | v.setOnes(); |
108 | |||
109 |
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2 | tau_nle = nonLinearEffects(model, data_nle, q, v); |
110 |
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2 | tau_rnea = rnea(model, data_rnea, q, v, VectorXd::Zero(model.nv)); |
111 | |||
112 |
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2 | BOOST_CHECK(tau_nle.isApprox(tau_rnea, 1e-12)); |
113 | |||
114 | // ------- | ||
115 |
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2 | q.tail(model.nq - 7).setOnes(); |
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2 | v.setOnes(); |
117 | |||
118 |
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2 | tau_nle = nonLinearEffects(model, data_nle, q, v); |
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2 | tau_rnea = rnea(model, data_rnea, q, v, VectorXd::Zero(model.nv)); |
120 | |||
121 |
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2 | BOOST_CHECK(tau_nle.isApprox(tau_rnea, 1e-12)); |
122 | |||
123 | // ------- | ||
124 |
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2 | q = randomConfiguration(model); |
125 |
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2 | v.setRandom(); |
126 | |||
127 |
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2 | tau_nle = nonLinearEffects(model, data_nle, q, v); |
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2 | tau_rnea = rnea(model, data_rnea, q, v, VectorXd::Zero(model.nv)); |
129 | |||
130 |
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2 | BOOST_CHECK(tau_nle.isApprox(tau_rnea, 1e-12)); |
131 | 2 | } | |
132 | |||
133 |
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4 | BOOST_AUTO_TEST_CASE(test_rnea_with_fext) |
134 | { | ||
135 | using namespace Eigen; | ||
136 | using namespace pinocchio; | ||
137 | |||
138 |
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2 | Model model; |
139 |
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2 | buildModels::humanoidRandom(model); |
140 | |||
141 |
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2 | model.lowerPositionLimit.head<3>().fill(-1.); |
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2 | model.upperPositionLimit.head<3>().fill(1.); |
143 | |||
144 |
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2 | Data data_rnea_fext(model); |
145 |
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2 | Data data_rnea(model); |
146 | |||
147 |
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2 | VectorXd q = randomConfiguration(model); |
148 | |||
149 |
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2 | VectorXd v(VectorXd::Random(model.nv)); |
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2 | VectorXd a(VectorXd::Random(model.nv)); |
151 | |||
152 |
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2 | PINOCCHIO_ALIGNED_STD_VECTOR(Force) fext(model.joints.size(), Force::Zero()); |
153 | |||
154 |
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2 | JointIndex rf = model.getJointId("rleg6_joint"); |
155 |
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2 | Force Frf = Force::Random(); |
156 |
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2 | fext[rf] = Frf; |
157 |
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2 | JointIndex lf = model.getJointId("lleg6_joint"); |
158 |
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2 | Force Flf = Force::Random(); |
159 |
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2 | fext[lf] = Flf; |
160 | |||
161 |
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2 | rnea(model, data_rnea, q, v, a); |
162 |
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2 | VectorXd tau_ref(data_rnea.tau); |
163 |
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2 | Data::Matrix6x Jrf(Data::Matrix6x::Zero(6, model.nv)); |
164 |
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2 | computeJointJacobian(model, data_rnea, q, rf, Jrf); |
165 |
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2 | tau_ref -= Jrf.transpose() * Frf.toVector(); |
166 | |||
167 |
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2 | Data::Matrix6x Jlf(Data::Matrix6x::Zero(6, model.nv)); |
168 |
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2 | computeJointJacobian(model, data_rnea, q, lf, Jlf); |
169 |
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2 | tau_ref -= Jlf.transpose() * Flf.toVector(); |
170 | |||
171 |
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2 | rnea(model, data_rnea_fext, q, v, a, fext); |
172 | |||
173 |
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2 | BOOST_CHECK(tau_ref.isApprox(data_rnea_fext.tau)); |
174 | 2 | } | |
175 | |||
176 |
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4 | BOOST_AUTO_TEST_CASE(test_rnea_with_armature) |
177 | { | ||
178 | using namespace Eigen; | ||
179 | using namespace pinocchio; | ||
180 | |||
181 |
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2 | Model model; |
182 |
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2 | buildModels::humanoidRandom(model); |
183 |
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2 | model.armature = VectorXd::Random(model.nv) + VectorXd::Ones(model.nv); |
184 | |||
185 |
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2 | model.lowerPositionLimit.head<3>().fill(-1.); |
186 |
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2 | model.upperPositionLimit.head<3>().fill(1.); |
187 | |||
188 |
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2 | Data data(model); |
189 |
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2 | Data data_ref(model); |
190 | |||
191 |
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2 | VectorXd q = randomConfiguration(model); |
192 |
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2 | VectorXd v(VectorXd::Random(model.nv)); |
193 |
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2 | VectorXd a(VectorXd::Random(model.nv)); |
194 | |||
195 |
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2 | crba(model, data_ref, q, Convention::WORLD); |
196 |
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2 | data_ref.M.triangularView<StrictlyLower>() = |
197 |
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4 | data_ref.M.transpose().triangularView<StrictlyLower>(); |
198 |
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2 | const VectorXd nle = nonLinearEffects(model, data_ref, q, v); |
199 | |||
200 |
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2 | const VectorXd tau_ref = data_ref.M * a + nle; |
201 | |||
202 |
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2 | rnea(model, data, q, v, a); |
203 |
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2 | BOOST_CHECK(tau_ref.isApprox(data.tau)); |
204 | 2 | } | |
205 | |||
206 |
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4 | BOOST_AUTO_TEST_CASE(test_compute_gravity) |
207 | { | ||
208 | using namespace Eigen; | ||
209 | using namespace pinocchio; | ||
210 | |||
211 |
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2 | Model model; |
212 |
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2 | buildModels::humanoidRandom(model); |
213 | |||
214 |
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2 | model.lowerPositionLimit.head<3>().fill(-1.); |
215 |
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2 | model.upperPositionLimit.head<3>().fill(1.); |
216 | |||
217 |
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2 | Data data_rnea(model); |
218 |
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2 | Data data(model); |
219 | |||
220 |
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2 | VectorXd q = randomConfiguration(model); |
221 | |||
222 |
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2 | rnea(model, data_rnea, q, VectorXd::Zero(model.nv), VectorXd::Zero(model.nv)); |
223 |
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2 | computeGeneralizedGravity(model, data, q); |
224 | |||
225 |
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2 | BOOST_CHECK(data_rnea.tau.isApprox(data.g)); |
226 | |||
227 | // Compare with Jcom | ||
228 |
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2 | crba(model, data_rnea, q, Convention::WORLD); |
229 |
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2 | Data::Matrix3x Jcom = getJacobianComFromCrba(model, data_rnea); |
230 | |||
231 |
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2 | VectorXd g_ref(-data_rnea.mass[0] * Jcom.transpose() * Model::gravity981); |
232 | |||
233 |
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2 | BOOST_CHECK(g_ref.isApprox(data.g)); |
234 | 2 | } | |
235 | |||
236 |
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4 | BOOST_AUTO_TEST_CASE(test_compute_static_torque) |
237 | { | ||
238 | using namespace Eigen; | ||
239 | using namespace pinocchio; | ||
240 | |||
241 |
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2 | Model model; |
242 |
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2 | buildModels::humanoidRandom(model); |
243 | |||
244 |
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2 | model.lowerPositionLimit.head<3>().fill(-1.); |
245 |
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2 | model.upperPositionLimit.head<3>().fill(1.); |
246 | |||
247 |
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2 | Data data_rnea(model); |
248 |
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2 | Data data(model); |
249 | |||
250 |
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2 | VectorXd q = randomConfiguration(model); |
251 | |||
252 | typedef PINOCCHIO_ALIGNED_STD_VECTOR(Force) ForceVector; | ||
253 |
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2 | ForceVector fext((size_t)model.njoints); |
254 |
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58 | for (ForceVector::iterator it = fext.begin(); it != fext.end(); ++it) |
255 |
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56 | (*it).setRandom(); |
256 | |||
257 |
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2 | rnea(model, data_rnea, q, VectorXd::Zero(model.nv), VectorXd::Zero(model.nv), fext); |
258 |
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2 | computeStaticTorque(model, data, q, fext); |
259 | |||
260 |
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2 | BOOST_CHECK(data_rnea.tau.isApprox(data.tau)); |
261 | |||
262 | // Compare with Jcom + Jacobian of joint | ||
263 |
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2 | crba(model, data_rnea, q, Convention::WORLD); |
264 |
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2 | Data::Matrix3x Jcom = getJacobianComFromCrba(model, data_rnea); |
265 | |||
266 |
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2 | VectorXd static_torque_ref = -data_rnea.mass[0] * Jcom.transpose() * Model::gravity981; |
267 |
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2 | computeJointJacobians(model, data_rnea, q); |
268 | |||
269 |
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2 | Data::Matrix6x J_local(6, model.nv); |
270 |
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56 | for (JointIndex joint_id = 1; joint_id < (JointIndex)(model.njoints); ++joint_id) |
271 | { | ||
272 |
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54 | J_local.setZero(); |
273 |
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54 | getJointJacobian(model, data_rnea, joint_id, LOCAL, J_local); |
274 |
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54 | static_torque_ref -= J_local.transpose() * fext[joint_id].toVector(); |
275 | } | ||
276 | |||
277 |
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2 | BOOST_CHECK(static_torque_ref.isApprox(data.tau)); |
278 | 2 | } | |
279 | |||
280 |
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4 | BOOST_AUTO_TEST_CASE(test_compute_coriolis) |
281 | { | ||
282 | using namespace Eigen; | ||
283 | using namespace pinocchio; | ||
284 | |||
285 | 2 | const double prec = Eigen::NumTraits<double>::dummy_precision(); | |
286 | |||
287 |
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2 | Model model; |
288 |
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2 | buildModels::humanoidRandom(model); |
289 | |||
290 |
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2 | model.lowerPositionLimit.head<3>().fill(-1.); |
291 |
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2 | model.upperPositionLimit.head<3>().fill(1.); |
292 | |||
293 |
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2 | Data data_ref(model); |
294 |
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2 | Data data(model); |
295 | |||
296 |
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2 | VectorXd q = randomConfiguration(model); |
297 | |||
298 |
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2 | VectorXd v(VectorXd::Random(model.nv)); |
299 |
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2 | computeCoriolisMatrix(model, data, q, Eigen::VectorXd::Zero(model.nv)); |
300 |
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2 | BOOST_CHECK(data.C.isZero(prec)); |
301 | |||
302 |
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2 | model.gravity.setZero(); |
303 |
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2 | rnea(model, data_ref, q, v, VectorXd::Zero(model.nv)); |
304 |
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2 | computeJointJacobiansTimeVariation(model, data_ref, q, v); |
305 |
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2 | computeCoriolisMatrix(model, data, q, v); |
306 | |||
307 |
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2 | BOOST_CHECK(data.dJ.isApprox(data_ref.dJ)); |
308 |
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2 | BOOST_CHECK(data.J.isApprox(data_ref.J)); |
309 | |||
310 |
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2 | VectorXd tau = data.C * v; |
311 |
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2 | BOOST_CHECK(tau.isApprox(data_ref.tau, prec)); |
312 | |||
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2 | dccrba(model, data_ref, q, v); |
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2 | crba(model, data_ref, q, Convention::WORLD); |
315 | |||
316 | 2 | const Data::Vector3 & com = data_ref.com[0]; | |
317 |
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2 | Motion vcom(data_ref.vcom[0], Data::Vector3::Zero()); |
318 |
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2 | SE3 cM1(data.oMi[1]); |
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2 | cM1.translation() -= com; |
320 | |||
321 |
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2 | BOOST_CHECK((cM1.toDualActionMatrix() * data_ref.M.topRows<6>()).isApprox(data_ref.Ag, prec)); |
322 | |||
323 |
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2 | Force dh_ref = cM1.act(Force(data_ref.tau.head<6>())); |
324 |
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2 | Force dh(data_ref.dAg * v); |
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2 | BOOST_CHECK(dh.isApprox(dh_ref, prec)); |
326 | |||
327 | { | ||
328 |
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2 | Data data_ref(model), data_ref_plus(model); |
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2 | Eigen::MatrixXd dM(data.C + data.C.transpose()); |
330 | |||
331 | 2 | const double alpha = 1e-8; | |
332 |
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2 | Eigen::VectorXd q_plus(model.nq); |
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2 | q_plus = integrate(model, q, alpha * v); |
334 | |||
335 |
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2 | crba(model, data_ref, q, Convention::WORLD); |
336 |
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2 | data_ref.M.triangularView<Eigen::StrictlyLower>() = |
337 |
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4 | data_ref.M.transpose().triangularView<Eigen::StrictlyLower>(); |
338 |
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2 | crba(model, data_ref_plus, q_plus, Convention::WORLD); |
339 |
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2 | data_ref_plus.M.triangularView<Eigen::StrictlyLower>() = |
340 |
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4 | data_ref_plus.M.transpose().triangularView<Eigen::StrictlyLower>(); |
341 | |||
342 |
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2 | Eigen::MatrixXd dM_ref = (data_ref_plus.M - data_ref.M) / alpha; |
343 |
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2 | BOOST_CHECK(dM.isApprox(dM_ref, sqrt(alpha))); |
344 | 2 | } | |
345 | 2 | } | |
346 | |||
347 | BOOST_AUTO_TEST_SUITE_END() | ||
348 |