Directory: | ./ |
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File: | unittest/centroidal.cpp |
Date: | 2025-02-12 21:03:38 |
Exec | Total | Coverage | |
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Lines: | 245 | 246 | 99.6% |
Branches: | 846 | 1690 | 50.1% |
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1 | // | ||
2 | // Copyright (c) 2015-2019 CNRS INRIA | ||
3 | // | ||
4 | |||
5 | #include "pinocchio/algorithm/crba.hpp" | ||
6 | #include "pinocchio/algorithm/centroidal.hpp" | ||
7 | #include "pinocchio/algorithm/rnea.hpp" | ||
8 | #include "pinocchio/algorithm/jacobian.hpp" | ||
9 | #include "pinocchio/algorithm/center-of-mass.hpp" | ||
10 | #include "pinocchio/algorithm/joint-configuration.hpp" | ||
11 | |||
12 | #include "pinocchio/multibody/sample-models.hpp" | ||
13 | |||
14 | #include "pinocchio/utils/timer.hpp" | ||
15 | |||
16 | #include <iostream> | ||
17 | |||
18 | #include <boost/test/unit_test.hpp> | ||
19 | #include <boost/utility/binary.hpp> | ||
20 | |||
21 | template<typename JointModel> | ||
22 | 2 | static void addJointAndBody( | |
23 | pinocchio::Model & model, | ||
24 | const pinocchio::JointModelBase<JointModel> & joint, | ||
25 | const std::string & parent_name, | ||
26 | const std::string & name, | ||
27 | const pinocchio::SE3 placement = pinocchio::SE3::Random(), | ||
28 | bool setRandomLimits = true) | ||
29 | { | ||
30 | using namespace pinocchio; | ||
31 | typedef typename JointModel::ConfigVector_t CV; | ||
32 | typedef typename JointModel::TangentVector_t TV; | ||
33 | |||
34 | Model::JointIndex idx; | ||
35 | |||
36 |
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2 | if (setRandomLimits) |
37 |
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2 | idx = model.addJoint( |
38 | model.getJointId(parent_name), joint, SE3::Random(), name + "_joint", | ||
39 | TV::Random() + TV::Constant(1), TV::Random() + TV::Constant(1), | ||
40 | CV::Random() - CV::Constant(1), CV::Random() + CV::Constant(1)); | ||
41 | else | ||
42 | ✗ | idx = model.addJoint(model.getJointId(parent_name), joint, placement, name + "_joint"); | |
43 | |||
44 |
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2 | model.addJointFrame(idx); |
45 | |||
46 |
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2 | model.appendBodyToJoint(idx, Inertia::Random(), SE3::Identity()); |
47 |
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2 | model.addBodyFrame(name + "_body", idx); |
48 | 2 | } | |
49 | |||
50 | BOOST_AUTO_TEST_SUITE(BOOST_TEST_MODULE) | ||
51 | |||
52 |
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4 | BOOST_AUTO_TEST_CASE(test_ccrba) |
53 | { | ||
54 |
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2 | pinocchio::Model model; |
55 |
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2 | pinocchio::buildModels::humanoidRandom(model); |
56 |
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2 | pinocchio::Data data(model), data_ref(model); |
57 | |||
58 |
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2 | model.lowerPositionLimit.head<3>().fill(-1.); |
59 |
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2 | model.upperPositionLimit.head<3>().fill(1.); |
60 |
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2 | Eigen::VectorXd q = randomConfiguration(model); |
61 |
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2 | Eigen::VectorXd v = Eigen::VectorXd::Ones(model.nv); |
62 | |||
63 |
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2 | pinocchio::crba(model, data_ref, q, pinocchio::Convention::LOCAL); |
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2 | data_ref.M.triangularView<Eigen::StrictlyLower>() = |
65 |
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4 | data_ref.M.transpose().triangularView<Eigen::StrictlyLower>(); |
66 | |||
67 |
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2 | data_ref.Ycrb[0] = data_ref.liMi[1].act(data_ref.Ycrb[1]); |
68 | |||
69 |
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2 | pinocchio::Data data_ref_other(model); |
70 |
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2 | pinocchio::crba(model, data_ref_other, q, pinocchio::Convention::WORLD); |
71 |
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2 | data_ref_other.M.triangularView<Eigen::StrictlyLower>() = |
72 |
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4 | data_ref_other.M.transpose().triangularView<Eigen::StrictlyLower>(); |
73 |
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2 | BOOST_CHECK(data_ref_other.M.isApprox(data_ref.M)); |
74 | |||
75 |
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2 | pinocchio::SE3 cMo(pinocchio::SE3::Matrix3::Identity(), -data_ref.Ycrb[0].lever()); |
76 |
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2 | BOOST_CHECK(data_ref.Ycrb[0].isApprox(data_ref_other.oYcrb[0])); |
77 | |||
78 |
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2 | ccrba(model, data, q, v); |
79 |
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2 | BOOST_CHECK(data.com[0].isApprox(-cMo.translation(), 1e-12)); |
80 |
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2 | BOOST_CHECK(data.oYcrb[0].matrix().isApprox(data_ref.Ycrb[0].matrix(), 1e-12)); |
81 | |||
82 |
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2 | pinocchio::Inertia Ig_ref(cMo.act(data.oYcrb[0])); |
83 |
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2 | BOOST_CHECK(data.Ig.matrix().isApprox(Ig_ref.matrix(), 1e-12)); |
84 | |||
85 |
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2 | pinocchio::SE3 oM1(data_ref.liMi[1]); |
86 |
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2 | pinocchio::SE3 cM1(cMo * oM1); |
87 | |||
88 | pinocchio::Data::Matrix6x Ag_ref( | ||
89 |
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2 | cM1.inverse().toActionMatrix().transpose() * data_ref.M.topRows<6>()); |
90 |
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2 | BOOST_CHECK(data.Ag.isApprox(Ag_ref, 1e-12)); |
91 | 2 | } | |
92 | |||
93 |
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4 | BOOST_AUTO_TEST_CASE(test_centroidal_mapping) |
94 | { | ||
95 |
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2 | pinocchio::Model model; |
96 |
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2 | pinocchio::buildModels::humanoidRandom(model); |
97 |
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2 | pinocchio::Data data(model), data_ref(model); |
98 | |||
99 |
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2 | model.lowerPositionLimit.head<3>().fill(-1.); |
100 |
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2 | model.upperPositionLimit.head<3>().fill(1.); |
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2 | Eigen::VectorXd q = randomConfiguration(model); |
102 |
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2 | Eigen::VectorXd v = Eigen::VectorXd::Zero(model.nv); |
103 | |||
104 |
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2 | computeCentroidalMap(model, data, q); |
105 |
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2 | ccrba(model, data_ref, q, v); |
106 | |||
107 |
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2 | BOOST_CHECK(data.J.isApprox(data_ref.J)); |
108 |
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2 | BOOST_CHECK(data.Ag.isApprox(data_ref.Ag)); |
109 | |||
110 |
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2 | computeJointJacobians(model, data_ref, q); |
111 | |||
112 |
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2 | BOOST_CHECK(data.J.isApprox(data_ref.J)); |
113 | 2 | } | |
114 | |||
115 |
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4 | BOOST_AUTO_TEST_CASE(test_dccrb) |
116 | { | ||
117 | using namespace pinocchio; | ||
118 |
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2 | Model model; |
119 |
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2 | buildModels::humanoidRandom(model); |
120 |
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2 | addJointAndBody(model, JointModelSpherical(), "larm6_joint", "larm7"); |
121 |
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2 | Data data(model), data_ref(model); |
122 | |||
123 |
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2 | model.lowerPositionLimit.head<7>().fill(-1.); |
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2 | model.upperPositionLimit.head<7>().fill(1.); |
125 | |||
126 | Eigen::VectorXd q = | ||
127 |
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2 | randomConfiguration(model, model.lowerPositionLimit, model.upperPositionLimit); |
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2 | Eigen::VectorXd v = Eigen::VectorXd::Random(model.nv); |
129 |
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2 | Eigen::VectorXd a = Eigen::VectorXd::Random(model.nv); |
130 | |||
131 |
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2 | const Eigen::VectorXd g = rnea(model, data_ref, q, 0 * v, 0 * a); |
132 |
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2 | rnea(model, data_ref, q, v, a); |
133 | |||
134 |
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2 | pinocchio::crba(model, data_ref, q, pinocchio::Convention::LOCAL); |
135 |
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2 | data_ref.M.triangularView<Eigen::StrictlyLower>() = |
136 |
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4 | data_ref.M.transpose().triangularView<Eigen::StrictlyLower>(); |
137 | |||
138 |
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2 | SE3 cMo(SE3::Identity()); |
139 |
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2 | data_ref.Ycrb[0] = data_ref.liMi[1].act(data_ref.Ycrb[1]); |
140 |
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2 | cMo.translation() = -data_ref.Ycrb[0].lever(); |
141 | |||
142 |
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2 | SE3 oM1(data_ref.liMi[1]); |
143 |
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2 | SE3 cM1(cMo * oM1); |
144 |
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2 | Data::Matrix6x Ag_ref(cM1.toDualActionMatrix() * data_ref.M.topRows<6>()); |
145 | |||
146 |
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2 | Force hdot_ref(cM1.act(Force(data_ref.tau.head<6>() - g.head<6>()))); |
147 | |||
148 |
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2 | ccrba(model, data_ref, q, v); |
149 |
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2 | dccrba(model, data, q, v); |
150 |
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2 | BOOST_CHECK(data.Ag.isApprox(Ag_ref)); |
151 |
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2 | BOOST_CHECK(data.Ag.isApprox(data_ref.Ag)); |
152 |
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2 | BOOST_CHECK(data.hg.isApprox(data_ref.hg)); |
153 | |||
154 |
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2 | centerOfMass(model, data_ref, q, v, a); |
155 |
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2 | BOOST_CHECK(data_ref.com[0].isApprox(data_ref.Ycrb[0].lever())); |
156 |
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2 | BOOST_CHECK(data_ref.vcom[0].isApprox(data.hg.linear() / data_ref.M(0, 0))); |
157 |
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2 | BOOST_CHECK(data_ref.vcom[0].isApprox(data.vcom[0])); |
158 |
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2 | BOOST_CHECK(data_ref.acom[0].isApprox(hdot_ref.linear() / data_ref.M(0, 0))); |
159 | |||
160 |
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2 | Force hdot(data.Ag * a + data.dAg * v); |
161 |
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2 | BOOST_CHECK(hdot.isApprox(hdot_ref)); |
162 | |||
163 |
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2 | dccrba(model, data, q, 0 * v); |
164 |
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2 | BOOST_CHECK(data.dAg.isZero()); |
165 | |||
166 | // Check that dYcrb is equal to doYcrb | ||
167 | { | ||
168 | // Compute dYcrb | ||
169 |
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2 | Data data_ref(model), data_ref_plus(model), data(model); |
170 | |||
171 | 2 | const double alpha = 1e-8; | |
172 |
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2 | Eigen::VectorXd q_plus(model.nq); |
173 |
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2 | q_plus = integrate(model, q, alpha * v); |
174 | |||
175 |
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2 | forwardKinematics(model, data_ref, q); |
176 |
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2 | pinocchio::crba(model, data_ref, q, pinocchio::Convention::LOCAL); |
177 |
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2 | pinocchio::crba(model, data_ref_plus, q_plus, pinocchio::Convention::LOCAL); |
178 |
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2 | forwardKinematics(model, data_ref_plus, q_plus); |
179 |
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2 | dccrba(model, data, q, v); |
180 | |||
181 |
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58 | for (size_t i = 1; i < (size_t)model.njoints; ++i) |
182 | { | ||
183 |
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56 | Inertia::Matrix6 dYcrb = (data_ref_plus.oMi[i].act(data_ref_plus.Ycrb[i]).matrix() |
184 |
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112 | - data_ref.oMi[i].act(data_ref.Ycrb[i]).matrix()) |
185 |
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56 | / alpha; |
186 |
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56 | BOOST_CHECK(data.doYcrb[i].isApprox(dYcrb, sqrt(alpha))); |
187 | } | ||
188 | 2 | } | |
189 | |||
190 | { | ||
191 |
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2 | Data data(model); |
192 |
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2 | ccrba(model, data_ref, q, v); |
193 |
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2 | SE3 oMc_ref(SE3::Identity()); |
194 |
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2 | oMc_ref.translation() = data_ref.com[0]; |
195 |
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2 | const Data::Matrix6x Ag_ref = oMc_ref.toDualActionMatrix() * data_ref.Ag; |
196 |
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2 | pinocchio::crba(model, data_ref, q, pinocchio::Convention::LOCAL); |
197 | const Data::Matrix6x Ag_ref_from_M = | ||
198 |
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2 | data_ref.oMi[1].toDualActionMatrix() * data_ref.M.topRows<6>(); |
199 | |||
200 | 2 | const double alpha = 1e-8; | |
201 |
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2 | Eigen::VectorXd q_plus(model.nq); |
202 |
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2 | q_plus = integrate(model, q, alpha * v); |
203 |
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2 | ccrba(model, data_ref, q_plus, v); |
204 |
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2 | SE3 oMc_ref_plus(SE3::Identity()); |
205 |
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2 | oMc_ref_plus.translation() = data_ref.com[0]; |
206 |
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2 | const Data::Matrix6x Ag_plus_ref = oMc_ref_plus.toDualActionMatrix() * data_ref.Ag; |
207 |
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2 | pinocchio::crba(model, data_ref, q_plus, pinocchio::Convention::LOCAL); |
208 | const Data::Matrix6x Ag_plus_ref_from_M = | ||
209 |
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2 | data_ref.oMi[1].toDualActionMatrix() * data_ref.M.topRows<6>(); |
210 |
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2 | const Data::Matrix6x dAg_ref = (Ag_plus_ref - Ag_ref) / alpha; |
211 |
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2 | const Data::Matrix6x dAg_ref_from_M = (Ag_plus_ref_from_M - Ag_ref_from_M) / alpha; |
212 | |||
213 |
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2 | dccrba(model, data, q, v); |
214 |
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2 | SE3 oMc(SE3::Identity()); |
215 |
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2 | oMc.translation() = data.com[0]; |
216 |
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2 | Data::Matrix6x dAg = oMc.toDualActionMatrix() * data.dAg; |
217 |
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2 | BOOST_CHECK(oMc.isApprox(oMc_ref)); |
218 |
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2 | BOOST_CHECK(dAg_ref.isApprox(dAg_ref_from_M, sqrt(alpha))); |
219 | 2 | } | |
220 | |||
221 | // Check for dAg/dt | ||
222 | { | ||
223 |
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2 | Data data(model); |
224 |
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2 | ccrba(model, data_ref, q, v); |
225 |
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2 | const Data::Matrix6x Ag_ref = data_ref.Ag; |
226 | |||
227 | 2 | const double alpha = 1e-8; | |
228 |
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2 | Eigen::VectorXd q_plus(model.nq); |
229 |
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2 | q_plus = integrate(model, q, alpha * v); |
230 |
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2 | ccrba(model, data_ref, q_plus, v); |
231 |
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2 | const Data::Matrix6x Ag_plus_ref = data_ref.Ag; |
232 |
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2 | const Data::Matrix6x dAg_ref = (Ag_plus_ref - Ag_ref) / alpha; |
233 | |||
234 |
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2 | dccrba(model, data, q, v); |
235 |
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2 | BOOST_CHECK(data.dAg.isApprox(dAg_ref, sqrt(alpha))); |
236 | 2 | } | |
237 | |||
238 | // Compute tensor dAg/dq | ||
239 | { | ||
240 |
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4 | std::vector<Data::Matrix6x> dAgdq((size_t)model.nv, Data::Matrix6x::Zero(6, model.nv)); |
241 |
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2 | Data data(model), data_fd(model); |
242 |
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2 | Eigen::VectorXd v_fd(Eigen::VectorXd::Zero(model.nv)); |
243 |
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2 | ccrba(model, data_fd, q, v); |
244 |
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2 | SE3 oMc_ref(SE3::Identity()); |
245 |
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2 | oMc_ref.translation() = data_fd.com[0]; |
246 | |||
247 |
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2 | Data::Matrix6x Ag0 = oMc_ref.toDualActionMatrix() * data_fd.Ag; |
248 |
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2 | const Force hg0 = oMc_ref.act(data_fd.hg); |
249 | |||
250 |
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2 | Data::Matrix6x Ag_fd(6, model.nv); |
251 |
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2 | Force hg_fd; |
252 | 2 | const double alpha = 1e-8; | |
253 |
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2 | Eigen::VectorXd q_plus(model.nq); |
254 |
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2 | Data::Matrix6x dhdq(6, model.nv); |
255 |
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72 | for (int k = 0; k < model.nv; ++k) |
256 | { | ||
257 |
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70 | v_fd[k] = alpha; |
258 |
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70 | q_plus = integrate(model, q, v_fd); |
259 |
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70 | ccrba(model, data_fd, q_plus, v); |
260 |
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70 | SE3 oMc_fd(SE3::Identity()); |
261 |
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70 | oMc_fd.translation() = data_fd.com[0]; |
262 |
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70 | Ag_fd = oMc_fd.toDualActionMatrix() * data_fd.Ag; |
263 |
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70 | hg_fd = oMc_fd.act(data_fd.hg); |
264 |
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70 | dAgdq[(size_t)k] = (Ag_fd - Ag0) / alpha; |
265 |
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70 | dhdq.col(k) = (hg_fd - hg0).toVector() / alpha; |
266 |
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70 | v_fd[k] = 0.; |
267 | } | ||
268 | |||
269 |
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2 | Data::Matrix6x dAg_ref(6, model.nv); |
270 |
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2 | dAg_ref.setZero(); |
271 |
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72 | for (int k = 0; k < model.nv; ++k) |
272 | { | ||
273 |
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70 | dAg_ref.col(k) = dAgdq[(size_t)k] * v; |
274 | } | ||
275 | |||
276 |
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2 | BOOST_CHECK(dhdq.isApprox(dAg_ref, sqrt(alpha))); |
277 |
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2 | BOOST_CHECK((dAg_ref * v).isApprox(dhdq * v, sqrt(alpha))); |
278 | 2 | } | |
279 | 2 | } | |
280 | |||
281 |
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4 | BOOST_AUTO_TEST_CASE(test_centroidal_mapping_time_derivative) |
282 | { | ||
283 |
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2 | pinocchio::Model model; |
284 |
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2 | pinocchio::buildModels::humanoidRandom(model); |
285 |
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2 | pinocchio::Data data(model), data_ref(model); |
286 | |||
287 |
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2 | model.lowerPositionLimit.head<3>().fill(-1.); |
288 |
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2 | model.upperPositionLimit.head<3>().fill(1.); |
289 |
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2 | Eigen::VectorXd q = randomConfiguration(model); |
290 |
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2 | Eigen::VectorXd v = Eigen::VectorXd::Zero(model.nv); |
291 | |||
292 |
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2 | computeCentroidalMapTimeVariation(model, data, q, v); |
293 |
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2 | dccrba(model, data_ref, q, v); |
294 | |||
295 |
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2 | BOOST_CHECK(data.J.isApprox(data_ref.J)); |
296 |
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2 | BOOST_CHECK(data.dJ.isApprox(data_ref.dJ)); |
297 |
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2 | BOOST_CHECK(data.Ag.isApprox(data_ref.Ag)); |
298 |
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2 | BOOST_CHECK(data.dAg.isApprox(data_ref.dAg)); |
299 | |||
300 |
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2 | computeJointJacobiansTimeVariation(model, data_ref, q, v); |
301 | |||
302 |
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2 | BOOST_CHECK(data.J.isApprox(data_ref.J)); |
303 |
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2 | BOOST_CHECK(data.dJ.isApprox(data_ref.dJ)); |
304 | 2 | } | |
305 | |||
306 |
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4 | BOOST_AUTO_TEST_CASE(test_computeCentroidalMomentum_computeCentroidalMomentumTimeVariation) |
307 | { | ||
308 | using namespace pinocchio; | ||
309 |
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2 | Model model; |
310 |
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2 | buildModels::humanoidRandom(model); |
311 |
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2 | addJointAndBody(model, JointModelSpherical(), "larm6_joint", "larm7"); |
312 |
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2 | Data data(model), data_fk1(model), data_fk2(model), data_ref(model); |
313 | |||
314 |
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2 | model.lowerPositionLimit.head<7>().fill(-1.); |
315 |
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2 | model.upperPositionLimit.head<7>().fill(1.); |
316 | |||
317 | Eigen::VectorXd q = | ||
318 |
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2 | randomConfiguration(model, model.lowerPositionLimit, model.upperPositionLimit); |
319 |
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2 | Eigen::VectorXd v = Eigen::VectorXd::Random(model.nv); |
320 |
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2 | Eigen::VectorXd a = Eigen::VectorXd::Random(model.nv); |
321 | |||
322 |
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2 | ccrba(model, data_ref, q, v); |
323 |
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2 | forwardKinematics(model, data_ref, q, v); |
324 |
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2 | centerOfMass(model, data_ref, q, v, false); |
325 |
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2 | computeCentroidalMomentum(model, data, q, v); |
326 | |||
327 |
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2 | BOOST_CHECK(data.mass[0] == data_ref.mass[0]); |
328 |
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2 | BOOST_CHECK(data.com[0].isApprox(data_ref.com[0])); |
329 |
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2 | BOOST_CHECK(data.hg.isApprox(data_ref.hg)); |
330 |
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58 | for (size_t k = 1; k < (size_t)model.njoints; ++k) |
331 | { | ||
332 |
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56 | BOOST_CHECK(data.mass[k] == data_ref.mass[k]); |
333 |
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56 | BOOST_CHECK(data.com[k].isApprox(data_ref.com[k])); |
334 |
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56 | BOOST_CHECK(data.v[k].isApprox(data_ref.v[k])); |
335 | } | ||
336 | |||
337 | // Check other signature | ||
338 |
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2 | forwardKinematics(model, data_fk1, q, v); |
339 |
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2 | computeCentroidalMomentum(model, data_fk1); |
340 | |||
341 |
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2 | BOOST_CHECK(data_fk1.hg.isApprox(data.hg)); |
342 | |||
343 |
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2 | computeCentroidalMomentumTimeVariation(model, data, q, v, a); |
344 |
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2 | model.gravity.setZero(); |
345 |
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2 | rnea(model, data_ref, q, v, a); |
346 |
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2 | dccrba(model, data_ref, q, v); |
347 |
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2 | const Force hgdot(data_ref.Ag * a + data_ref.dAg * v); |
348 | |||
349 |
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2 | BOOST_CHECK(data.mass[0] == data_ref.mass[0]); |
350 |
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2 | BOOST_CHECK(data.com[0].isApprox(data_ref.com[0])); |
351 |
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2 | BOOST_CHECK(data.hg.isApprox(data_ref.hg)); |
352 |
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2 | BOOST_CHECK(data.dhg.isApprox(hgdot)); |
353 |
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58 | for (size_t k = 1; k < (size_t)model.njoints; ++k) |
354 | { | ||
355 |
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56 | BOOST_CHECK(data.mass[k] == data_ref.mass[k]); |
356 |
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56 | BOOST_CHECK(data.com[k].isApprox(data_ref.com[k])); |
357 |
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56 | BOOST_CHECK(data.v[k].isApprox(data_ref.v[k])); |
358 |
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56 | BOOST_CHECK(data.a[k].isApprox(data_ref.a_gf[k])); |
359 |
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56 | BOOST_CHECK(data.f[k].isApprox(data_ref.f[k])); |
360 | } | ||
361 | |||
362 | // Check other signature | ||
363 |
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2 | forwardKinematics(model, data_fk2, q, v, a); |
364 |
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2 | computeCentroidalMomentumTimeVariation(model, data_fk2); |
365 | |||
366 |
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2 | BOOST_CHECK(data_fk2.hg.isApprox(data.hg)); |
367 |
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2 | BOOST_CHECK(data_fk2.dhg.isApprox(data.dhg)); |
368 | |||
369 | // Check against finite differences | ||
370 |
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2 | Data data_fd(model); |
371 | 2 | const double eps = 1e-8; | |
372 |
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2 | Eigen::VectorXd v_plus = v + eps * a; |
373 |
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2 | Eigen::VectorXd q_plus = integrate(model, q, eps * v); |
374 | |||
375 |
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2 | const Force hg = computeCentroidalMomentum(model, data_fd, q, v); |
376 |
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2 | const SE3::Vector3 com = data_fd.com[0]; |
377 |
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2 | const Force hg_plus = computeCentroidalMomentum(model, data_fd, q_plus, v_plus); |
378 |
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2 | const SE3::Vector3 com_plus = data_fd.com[0]; |
379 | |||
380 |
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2 | SE3 transform(SE3::Identity()); |
381 |
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2 | transform.translation() = com_plus - com; |
382 |
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2 | Force dhg_ref = (transform.act(hg_plus) - hg) / eps; |
383 | |||
384 |
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2 | BOOST_CHECK(data.dhg.isApprox(dhg_ref, sqrt(eps))); |
385 | 2 | } | |
386 | |||
387 | BOOST_AUTO_TEST_SUITE_END() | ||
388 |