Directory: | ./ |
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File: | unittest/joint-jacobian.cpp |
Date: | 2025-02-12 21:03:38 |
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Lines: | 192 | 192 | 100.0% |
Branches: | 454 | 940 | 48.3% |
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1 | // | ||
2 | // Copyright (c) 2015-2020 CNRS INRIA | ||
3 | // | ||
4 | |||
5 | #include "pinocchio/multibody/model.hpp" | ||
6 | #include "pinocchio/multibody/data.hpp" | ||
7 | #include "pinocchio/algorithm/jacobian.hpp" | ||
8 | #include "pinocchio/algorithm/kinematics.hpp" | ||
9 | #include "pinocchio/algorithm/rnea.hpp" | ||
10 | #include "pinocchio/spatial/act-on-set.hpp" | ||
11 | #include "pinocchio/multibody/sample-models.hpp" | ||
12 | #include "pinocchio/utils/timer.hpp" | ||
13 | #include "pinocchio/algorithm/joint-configuration.hpp" | ||
14 | |||
15 | #include <iostream> | ||
16 | |||
17 | #include <boost/test/unit_test.hpp> | ||
18 | #include <boost/utility/binary.hpp> | ||
19 | |||
20 | template<typename Derived> | ||
21 | 1 | inline bool isFinite(const Eigen::MatrixBase<Derived> & x) | |
22 | { | ||
23 |
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1 | return ((x - x).array() == (x - x).array()).all(); |
24 | } | ||
25 | |||
26 | BOOST_AUTO_TEST_SUITE(BOOST_TEST_MODULE) | ||
27 | |||
28 |
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4 | BOOST_AUTO_TEST_CASE(test_jacobian) |
29 | { | ||
30 | using namespace Eigen; | ||
31 | using namespace pinocchio; | ||
32 | |||
33 |
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2 | pinocchio::Model model; |
34 |
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2 | pinocchio::buildModels::humanoidRandom(model); |
35 |
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2 | pinocchio::Data data(model); |
36 | |||
37 |
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2 | VectorXd q = VectorXd::Zero(model.nq); |
38 |
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2 | computeJointJacobians(model, data, q); |
39 | |||
40 | Model::Index idx = | ||
41 |
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2 | model.existJointName("rarm2") ? model.getJointId("rarm2") : (Model::Index)(model.njoints - 1); |
42 |
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2 | Data::Matrix6x Jrh(6, model.nv); |
43 |
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2 | Jrh.fill(0); |
44 |
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2 | getJointJacobian(model, data, idx, WORLD, Jrh); |
45 | |||
46 | /* Test J*q == v */ | ||
47 |
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2 | VectorXd qdot = VectorXd::Random(model.nv); |
48 |
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2 | VectorXd qddot = VectorXd::Zero(model.nv); |
49 |
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2 | rnea(model, data, q, qdot, qddot); |
50 |
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2 | Motion v = data.oMi[idx].act(data.v[idx]); |
51 |
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2 | BOOST_CHECK(v.toVector().isApprox(Jrh * qdot, 1e-12)); |
52 | |||
53 | /* Test local jacobian: rhJrh == rhXo oJrh */ | ||
54 |
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2 | Data::Matrix6x rhJrh(6, model.nv); |
55 |
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2 | rhJrh.fill(0); |
56 |
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2 | getJointJacobian(model, data, idx, LOCAL, rhJrh); |
57 |
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2 | Data::Matrix6x XJrh(6, model.nv); |
58 |
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2 | motionSet::se3Action(data.oMi[idx].inverse(), Jrh, XJrh); |
59 |
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2 | BOOST_CHECK(XJrh.isApprox(rhJrh, 1e-12)); |
60 | |||
61 |
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2 | XJrh.setZero(); |
62 |
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2 | Data data_jointJacobian(model); |
63 |
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2 | computeJointJacobian(model, data_jointJacobian, q, idx, XJrh); |
64 |
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2 | BOOST_CHECK(XJrh.isApprox(rhJrh, 1e-12)); |
65 | |||
66 | /* Test computeJointJacobians with pre-computation of the forward kinematics */ | ||
67 |
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2 | Data data_fk(model); |
68 |
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2 | forwardKinematics(model, data_fk, q); |
69 |
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2 | computeJointJacobians(model, data_fk); |
70 | |||
71 |
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2 | BOOST_CHECK(data_fk.J.isApprox(data.J)); |
72 | 2 | } | |
73 | |||
74 |
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4 | BOOST_AUTO_TEST_CASE(test_jacobian_time_variation) |
75 | { | ||
76 | using namespace Eigen; | ||
77 | using namespace pinocchio; | ||
78 | |||
79 |
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2 | pinocchio::Model model; |
80 |
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2 | pinocchio::buildModels::humanoidRandom(model); |
81 |
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2 | pinocchio::Data data(model); |
82 |
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2 | pinocchio::Data data_ref(model); |
83 | |||
84 | VectorXd q = randomConfiguration( | ||
85 |
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2 | model, -1 * Eigen::VectorXd::Ones(model.nq), Eigen::VectorXd::Ones(model.nq)); |
86 |
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2 | VectorXd v = VectorXd::Random(model.nv); |
87 |
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2 | VectorXd a = VectorXd::Random(model.nv); |
88 | |||
89 |
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2 | computeJointJacobiansTimeVariation(model, data, q, v); |
90 | |||
91 |
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2 | BOOST_CHECK(isFinite(data.dJ)); |
92 | |||
93 |
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2 | forwardKinematics(model, data_ref, q, v, a); |
94 | Model::Index idx = | ||
95 |
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2 | model.existJointName("rarm2") ? model.getJointId("rarm2") : (Model::Index)(model.njoints - 1); |
96 | |||
97 |
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2 | Data::Matrix6x J(6, model.nv); |
98 |
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2 | J.fill(0.); |
99 |
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2 | Data::Matrix6x dJ(6, model.nv); |
100 |
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2 | dJ.fill(0.); |
101 | |||
102 | // Regarding to the WORLD origin | ||
103 |
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2 | getJointJacobian(model, data, idx, WORLD, J); |
104 |
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2 | BOOST_CHECK(J.isApprox(getJointJacobian(model, data, idx, WORLD))); |
105 |
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2 | getJointJacobianTimeVariation(model, data, idx, WORLD, dJ); |
106 | |||
107 |
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2 | Motion v_idx(J * v); |
108 |
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2 | BOOST_CHECK(v_idx.isApprox(data_ref.oMi[idx].act(data_ref.v[idx]))); |
109 | |||
110 |
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2 | Motion a_idx(J * a + dJ * v); |
111 |
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2 | const Motion & a_ref = data_ref.oMi[idx].act(data_ref.a[idx]); |
112 |
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2 | BOOST_CHECK(a_idx.isApprox(a_ref)); |
113 | |||
114 | // Regarding to the LOCAL frame | ||
115 |
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2 | getJointJacobian(model, data, idx, LOCAL, J); |
116 |
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2 | BOOST_CHECK(J.isApprox(getJointJacobian(model, data, idx, LOCAL))); |
117 |
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2 | getJointJacobianTimeVariation(model, data, idx, LOCAL, dJ); |
118 | |||
119 |
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2 | v_idx = (Motion::Vector6)(J * v); |
120 |
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2 | BOOST_CHECK(v_idx.isApprox(data_ref.v[idx])); |
121 | |||
122 |
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2 | a_idx = (Motion::Vector6)(J * a + dJ * v); |
123 |
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2 | BOOST_CHECK(a_idx.isApprox(data_ref.a[idx])); |
124 | |||
125 | // Regarding to the LOCAL_WORLD_ALIGNED frame | ||
126 |
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2 | getJointJacobian(model, data, idx, LOCAL_WORLD_ALIGNED, J); |
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2 | BOOST_CHECK(J.isApprox(getJointJacobian(model, data, idx, LOCAL_WORLD_ALIGNED))); |
128 |
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2 | getJointJacobianTimeVariation(model, data, idx, LOCAL_WORLD_ALIGNED, dJ); |
129 | |||
130 |
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2 | Data::SE3 worldMlocal = data.oMi[idx]; |
131 |
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2 | worldMlocal.translation().setZero(); |
132 |
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2 | Data::Motion world_v_local = data.ov[idx]; |
133 |
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2 | world_v_local.linear().setZero(); |
134 | |||
135 |
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2 | v_idx = (Motion::Vector6)(J * v); |
136 |
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2 | BOOST_CHECK(v_idx.isApprox(worldMlocal.act(data_ref.v[idx]))); |
137 | |||
138 |
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2 | a_idx = (Motion::Vector6)(J * a + dJ * v); |
139 |
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2 | BOOST_CHECK(a_idx.isApprox( |
140 | world_v_local.cross(worldMlocal.act(data_ref.v[idx])) + worldMlocal.act(data_ref.a[idx]))); | ||
141 | |||
142 | // compare to finite differencies : WORLD | ||
143 | { | ||
144 |
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2 | Data data_ref(model), data_ref_plus(model); |
145 | |||
146 | 2 | const double alpha = 1e-8; | |
147 |
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2 | Eigen::VectorXd q_plus(model.nq); |
148 |
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2 | q_plus = integrate(model, q, alpha * v); |
149 | |||
150 |
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2 | Data::Matrix6x J_ref(6, model.nv); |
151 |
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2 | J_ref.fill(0.); |
152 |
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2 | computeJointJacobians(model, data_ref, q); |
153 |
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2 | getJointJacobian(model, data_ref, idx, WORLD, J_ref); |
154 | |||
155 |
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2 | Data::Matrix6x J_ref_plus(6, model.nv); |
156 |
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2 | J_ref_plus.fill(0.); |
157 |
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2 | computeJointJacobians(model, data_ref_plus, q_plus); |
158 |
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2 | getJointJacobian(model, data_ref_plus, idx, WORLD, J_ref_plus); |
159 | |||
160 |
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2 | Data::Matrix6x dJ_ref(6, model.nv); |
161 |
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2 | dJ_ref.fill(0.); |
162 |
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2 | dJ_ref = (J_ref_plus - J_ref) / alpha; |
163 | |||
164 |
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2 | computeJointJacobiansTimeVariation(model, data, q, v); |
165 |
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2 | Data::Matrix6x dJ(6, model.nv); |
166 |
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2 | dJ.fill(0.); |
167 |
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2 | getJointJacobianTimeVariation(model, data, idx, WORLD, dJ); |
168 | |||
169 |
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2 | BOOST_CHECK(dJ.isApprox(dJ_ref, sqrt(alpha))); |
170 | 2 | } | |
171 | |||
172 | // compare to finite differencies : LOCAL | ||
173 | { | ||
174 |
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2 | Data data_ref(model), data_ref_plus(model); |
175 | |||
176 | 2 | const double alpha = 1e-8; | |
177 |
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2 | Eigen::VectorXd q_plus(model.nq); |
178 |
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2 | q_plus = integrate(model, q, alpha * v); |
179 | |||
180 |
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2 | Data::Matrix6x J_ref(6, model.nv); |
181 |
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2 | J_ref.fill(0.); |
182 |
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2 | computeJointJacobians(model, data_ref, q); |
183 |
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2 | getJointJacobian(model, data_ref, idx, LOCAL, J_ref); |
184 | |||
185 |
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2 | Data::Matrix6x J_ref_plus(6, model.nv); |
186 |
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2 | J_ref_plus.fill(0.); |
187 |
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2 | computeJointJacobians(model, data_ref_plus, q_plus); |
188 |
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2 | getJointJacobian(model, data_ref_plus, idx, LOCAL, J_ref_plus); |
189 | |||
190 |
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2 | Data::Matrix6x dJ_ref(6, model.nv); |
191 |
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2 | dJ_ref = (J_ref_plus - J_ref) / alpha; |
192 | |||
193 |
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2 | computeJointJacobiansTimeVariation(model, data, q, v); |
194 |
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2 | Data::Matrix6x dJ(6, model.nv); |
195 |
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2 | dJ.fill(0.); |
196 |
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2 | getJointJacobianTimeVariation(model, data, idx, LOCAL, dJ); |
197 | |||
198 |
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2 | BOOST_CHECK(dJ.isApprox(dJ_ref, sqrt(alpha))); |
199 | 2 | } | |
200 | |||
201 | // compare to finite differencies : LOCAL_WORLD_ALIGNED | ||
202 | { | ||
203 |
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2 | Data data_ref(model), data_ref_plus(model); |
204 | |||
205 | 2 | const double alpha = 1e-8; | |
206 |
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2 | Eigen::VectorXd q_plus(model.nq); |
207 |
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2 | q_plus = integrate(model, q, alpha * v); |
208 | |||
209 |
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2 | Data::Matrix6x J_ref(6, model.nv); |
210 |
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2 | J_ref.fill(0.); |
211 |
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2 | computeJointJacobians(model, data_ref, q); |
212 |
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2 | getJointJacobian(model, data_ref, idx, LOCAL_WORLD_ALIGNED, J_ref); |
213 | |||
214 |
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2 | Data::Matrix6x J_ref_plus(6, model.nv); |
215 |
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2 | J_ref_plus.fill(0.); |
216 |
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2 | computeJointJacobians(model, data_ref_plus, q_plus); |
217 |
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2 | getJointJacobian(model, data_ref_plus, idx, LOCAL_WORLD_ALIGNED, J_ref_plus); |
218 | |||
219 |
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2 | Data::Matrix6x dJ_ref(6, model.nv); |
220 |
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2 | dJ_ref = (J_ref_plus - J_ref) / alpha; |
221 | |||
222 |
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2 | computeJointJacobiansTimeVariation(model, data, q, v); |
223 |
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2 | Data::Matrix6x dJ(6, model.nv); |
224 |
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2 | dJ.fill(0.); |
225 |
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2 | getJointJacobianTimeVariation(model, data, idx, LOCAL_WORLD_ALIGNED, dJ); |
226 | |||
227 |
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2 | BOOST_CHECK(dJ.isApprox(dJ_ref, sqrt(alpha))); |
228 | 2 | } | |
229 | 2 | } | |
230 | |||
231 |
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4 | BOOST_AUTO_TEST_CASE(test_timings) |
232 | { | ||
233 | using namespace Eigen; | ||
234 | using namespace pinocchio; | ||
235 | |||
236 |
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2 | pinocchio::Model model; |
237 |
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2 | pinocchio::buildModels::humanoidRandom(model); |
238 |
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2 | pinocchio::Data data(model); |
239 | |||
240 | 2 | long flag = BOOST_BINARY(1111); | |
241 |
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2 | PinocchioTicToc timer(PinocchioTicToc::US); |
242 | #ifdef NDEBUG | ||
243 | #ifdef _INTENSE_TESTING_ | ||
244 | const size_t NBT = 1000 * 1000; | ||
245 | #else | ||
246 | const size_t NBT = 10; | ||
247 | #endif | ||
248 | #else | ||
249 | 2 | const size_t NBT = 1; | |
250 |
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2 | std::cout << "(the time score in debug mode is not relevant) "; |
251 | #endif | ||
252 | |||
253 | 2 | bool verbose = flag & (flag - 1); // True is two or more binaries of the flag are 1. | |
254 |
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2 | if (verbose) |
255 |
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2 | std::cout << "--" << std::endl; |
256 |
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2 | Eigen::VectorXd q = Eigen::VectorXd::Zero(model.nq); |
257 | |||
258 |
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2 | if (flag >> 0 & 1) |
259 | { | ||
260 |
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2 | timer.tic(); |
261 |
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4 | SMOOTH(NBT) |
262 | { | ||
263 |
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2 | computeJointJacobians(model, data, q); |
264 | } | ||
265 |
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2 | if (verbose) |
266 |
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2 | std::cout << "Compute =\t"; |
267 |
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2 | timer.toc(std::cout, NBT); |
268 | } | ||
269 | |||
270 |
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2 | if (flag >> 1 & 1) |
271 | { | ||
272 |
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2 | computeJointJacobians(model, data, q); |
273 | Model::Index idx = | ||
274 |
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2 | model.existJointName("rarm6") ? model.getJointId("rarm6") : (Model::Index)(model.njoints - 1); |
275 |
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2 | Data::Matrix6x Jrh(6, model.nv); |
276 |
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2 | Jrh.fill(0); |
277 | |||
278 |
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2 | timer.tic(); |
279 |
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4 | SMOOTH(NBT) |
280 | { | ||
281 |
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2 | getJointJacobian(model, data, idx, WORLD, Jrh); |
282 | } | ||
283 |
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2 | if (verbose) |
284 |
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2 | std::cout << "Copy =\t"; |
285 |
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2 | timer.toc(std::cout, NBT); |
286 | 2 | } | |
287 | |||
288 |
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2 | if (flag >> 2 & 1) |
289 | { | ||
290 |
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2 | computeJointJacobians(model, data, q); |
291 | Model::Index idx = | ||
292 |
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2 | model.existJointName("rarm6") ? model.getJointId("rarm6") : (Model::Index)(model.njoints - 1); |
293 |
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2 | Data::Matrix6x Jrh(6, model.nv); |
294 |
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2 | Jrh.fill(0); |
295 | |||
296 |
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2 | timer.tic(); |
297 |
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4 | SMOOTH(NBT) |
298 | { | ||
299 |
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2 | getJointJacobian(model, data, idx, LOCAL, Jrh); |
300 | } | ||
301 |
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2 | if (verbose) |
302 |
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2 | std::cout << "Change frame =\t"; |
303 |
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2 | timer.toc(std::cout, NBT); |
304 | 2 | } | |
305 | |||
306 |
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2 | if (flag >> 3 & 1) |
307 | { | ||
308 |
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2 | computeJointJacobians(model, data, q); |
309 | Model::Index idx = | ||
310 |
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2 | model.existJointName("rarm6") ? model.getJointId("rarm6") : (Model::Index)(model.njoints - 1); |
311 |
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2 | Data::Matrix6x Jrh(6, model.nv); |
312 |
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2 | Jrh.fill(0); |
313 | |||
314 |
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2 | timer.tic(); |
315 |
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4 | SMOOTH(NBT) |
316 | { | ||
317 |
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2 | computeJointJacobian(model, data, q, idx, Jrh); |
318 | } | ||
319 |
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2 | if (verbose) |
320 |
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2 | std::cout << "Single jacobian =\t"; |
321 |
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2 | timer.toc(std::cout, NBT); |
322 | 2 | } | |
323 | 2 | } | |
324 | |||
325 | BOOST_AUTO_TEST_SUITE_END() | ||
326 |