Directory: | ./ |
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File: | unittest/centroidal-derivatives.cpp |
Date: | 2025-02-12 21:03:38 |
Exec | Total | Coverage | |
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Lines: | 162 | 163 | 99.4% |
Branches: | 680 | 1354 | 50.2% |
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1 | // | ||
2 | // Copyright (c) 2018-2021 INRIA | ||
3 | // | ||
4 | |||
5 | #include "pinocchio/algorithm/crba.hpp" | ||
6 | #include "pinocchio/algorithm/rnea.hpp" | ||
7 | #include "pinocchio/algorithm/centroidal.hpp" | ||
8 | #include "pinocchio/algorithm/centroidal-derivatives.hpp" | ||
9 | #include "pinocchio/algorithm/rnea-derivatives.hpp" | ||
10 | #include "pinocchio/algorithm/aba-derivatives.hpp" | ||
11 | #include "pinocchio/algorithm/jacobian.hpp" | ||
12 | #include "pinocchio/algorithm/center-of-mass.hpp" | ||
13 | #include "pinocchio/algorithm/joint-configuration.hpp" | ||
14 | #include "pinocchio/multibody/sample-models.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 | 1 | 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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1 | if (setRandomLimits) |
37 |
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1 | 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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1 | model.addJointFrame(idx); |
45 | |||
46 |
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1 | model.appendBodyToJoint(idx, Inertia::Random(), SE3::Identity()); |
47 |
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1 | model.addBodyFrame(name + "_body", idx); |
48 | 1 | } | |
49 | |||
50 | BOOST_AUTO_TEST_SUITE(BOOST_TEST_MODULE) | ||
51 | |||
52 |
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4 | BOOST_AUTO_TEST_CASE(test_centroidal_derivatives) |
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 | const std::string parent_name = model.names.back(); |
57 |
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2 | const std::string joint_name = "ee_spherical_joint"; |
58 |
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2 | addJointAndBody(model, pinocchio::JointModelSpherical(), parent_name, joint_name); |
59 | |||
60 |
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2 | pinocchio::Data data(model), data_ref(model); |
61 | |||
62 |
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2 | model.lowerPositionLimit.head<7>().fill(-1.); |
63 |
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2 | model.upperPositionLimit.head<7>().fill(1.); |
64 | |||
65 |
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2 | Eigen::VectorXd q = pinocchio::randomConfiguration(model); |
66 |
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2 | Eigen::VectorXd v = Eigen::VectorXd::Random(model.nv); |
67 |
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2 | Eigen::VectorXd a = Eigen::VectorXd::Random(model.nv); |
68 | |||
69 |
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2 | pinocchio::Data::Matrix6x dh_dq(6, model.nv), dhdot_dq(6, model.nv), dhdot_dv(6, model.nv), |
70 |
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2 | dhdot_da(6, model.nv); |
71 |
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2 | pinocchio::computeCentroidalDynamicsDerivatives( |
72 | model, data, q, v, a, dh_dq, dhdot_dq, dhdot_dv, dhdot_da); | ||
73 |
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2 | pinocchio::ccrba(model, data_ref, q, v); |
74 | |||
75 |
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60 | for (size_t k = 0; k < (size_t)model.njoints; ++k) |
76 | { | ||
77 |
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58 | BOOST_CHECK(data.oMi[k].isApprox(data_ref.oMi[k])); |
78 |
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58 | BOOST_CHECK(data.oYcrb[k].isApprox(data_ref.oYcrb[k])); |
79 | } | ||
80 |
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2 | BOOST_CHECK(dhdot_da.isApprox(data_ref.Ag)); |
81 | |||
82 |
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2 | pinocchio::computeCentroidalMomentumTimeVariation(model, data_ref, q, v, a); |
83 |
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58 | for (size_t k = 1; k < (size_t)model.njoints; ++k) |
84 | { | ||
85 |
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56 | BOOST_CHECK(data.v[k].isApprox(data_ref.v[k])); |
86 |
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56 | BOOST_CHECK(data.ov[k].isApprox(data.oMi[k].act(data_ref.v[k]))); |
87 |
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56 | BOOST_CHECK(data.oa[k].isApprox(data.oMi[k].act(data_ref.a[k]))); |
88 |
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56 | BOOST_CHECK(data.oh[k].isApprox(data.oMi[k].act(data_ref.h[k]))); |
89 | } | ||
90 | |||
91 |
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2 | BOOST_CHECK(data.mass[0] == data_ref.mass[0]); |
92 |
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2 | BOOST_CHECK(data.com[0].isApprox(data_ref.com[0])); |
93 | |||
94 |
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2 | BOOST_CHECK(data.oh[0].isApprox(data_ref.h[0])); |
95 |
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2 | BOOST_CHECK(data.of[0].isApprox(data_ref.f[0])); |
96 | |||
97 |
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2 | BOOST_CHECK(data.hg.isApprox(data_ref.hg)); |
98 |
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2 | BOOST_CHECK(data.dhg.isApprox(data_ref.dhg)); |
99 |
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2 | BOOST_CHECK(data.Ag.isApprox(data_ref.Ag)); |
100 | |||
101 |
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2 | pinocchio::Data data_fd(model); |
102 | |||
103 | 2 | const double eps = 1e-8; | |
104 | const pinocchio::Force dhg = | ||
105 |
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2 | pinocchio::computeCentroidalMomentumTimeVariation(model, data_fd, q, v, a); |
106 |
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2 | const pinocchio::Force hg = data_fd.hg; |
107 |
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2 | BOOST_CHECK(data.hg.isApprox(data_ref.hg)); |
108 | |||
109 | // Check dhdot_dq and dh_dq with finite differences | ||
110 |
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2 | Eigen::VectorXd q_plus(model.nq, 1); |
111 |
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2 | Eigen::VectorXd v_eps(model.nv, 1); |
112 |
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2 | v_eps.setZero(); |
113 |
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2 | pinocchio::Data::Matrix6x dhdot_dq_fd(6, model.nv); |
114 |
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2 | pinocchio::Data::Matrix6x dh_dq_fd(6, model.nv); |
115 | |||
116 |
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72 | for (Eigen::DenseIndex k = 0; k < model.nv; ++k) |
117 | { | ||
118 |
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70 | v_eps[k] = eps; |
119 |
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70 | q_plus = pinocchio::integrate(model, q, v_eps); |
120 | |||
121 | const pinocchio::Force & dhg_plus = | ||
122 |
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70 | pinocchio::computeCentroidalMomentumTimeVariation(model, data_fd, q_plus, v, a); |
123 |
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70 | const pinocchio::Force hg_plus = data_fd.hg; |
124 |
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70 | dhdot_dq_fd.col(k) = (dhg_plus - dhg).toVector() / eps; |
125 |
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70 | dh_dq_fd.col(k) = (hg_plus - hg).toVector() / eps; |
126 |
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70 | v_eps[k] = 0.; |
127 | } | ||
128 | |||
129 |
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2 | BOOST_CHECK(dhdot_dq.isApprox(dhdot_dq_fd, sqrt(eps))); |
130 |
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2 | BOOST_CHECK(dh_dq.isApprox(dh_dq_fd, sqrt(eps))); |
131 | // Check dhdot_dv with finite differences | ||
132 |
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2 | Eigen::VectorXd v_plus(v); |
133 |
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2 | pinocchio::Data::Matrix6x dhdot_dv_fd(6, model.nv); |
134 | |||
135 |
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72 | for (Eigen::DenseIndex k = 0; k < model.nv; ++k) |
136 | { | ||
137 |
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70 | v_plus[k] += eps; |
138 | |||
139 | const pinocchio::Force & dhg_plus = | ||
140 |
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70 | pinocchio::computeCentroidalMomentumTimeVariation(model, data_fd, q, v_plus, a); |
141 |
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70 | dhdot_dv_fd.col(k) = (dhg_plus - dhg).toVector() / eps; |
142 | |||
143 |
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70 | v_plus[k] -= eps; |
144 | } | ||
145 | |||
146 |
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2 | BOOST_CHECK(dhdot_dv.isApprox(dhdot_dv_fd, sqrt(eps))); |
147 | |||
148 | // Check dhdot_da with finite differences | ||
149 |
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2 | Eigen::VectorXd a_plus(a); |
150 |
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2 | pinocchio::Data::Matrix6x dhdot_da_fd(6, model.nv); |
151 | |||
152 |
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72 | for (Eigen::DenseIndex k = 0; k < model.nv; ++k) |
153 | { | ||
154 |
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70 | a_plus[k] += eps; |
155 | |||
156 | const pinocchio::Force & dhg_plus = | ||
157 |
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70 | pinocchio::computeCentroidalMomentumTimeVariation(model, data_fd, q, v, a_plus); |
158 |
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70 | dhdot_da_fd.col(k) = (dhg_plus - dhg).toVector() / eps; |
159 | |||
160 |
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70 | a_plus[k] -= eps; |
161 | } | ||
162 | |||
163 |
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2 | BOOST_CHECK(dhdot_da.isApprox(dhdot_da_fd, sqrt(eps))); |
164 | |||
165 |
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2 | pinocchio::computeRNEADerivatives(model, data_ref, q, v, a); |
166 |
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2 | BOOST_CHECK(data.dAdv.isApprox(data_ref.dAdv)); |
167 |
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2 | BOOST_CHECK(data.dAdq.isApprox(data_ref.dAdq)); |
168 |
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2 | BOOST_CHECK(data.J.isApprox(data_ref.J)); |
169 |
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2 | BOOST_CHECK(data.dJ.isApprox(data_ref.dJ)); |
170 |
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2 | BOOST_CHECK(data.dVdq.isApprox(data_ref.dVdq)); |
171 | |||
172 |
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2 | pinocchio::computeCentroidalMap(model, data_ref, q); |
173 |
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2 | BOOST_CHECK(data.Ag.isApprox(data_ref.Ag)); |
174 | 2 | } | |
175 | |||
176 |
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4 | BOOST_AUTO_TEST_CASE(test_retrieve_centroidal_derivatives_fromRNEA) |
177 | { | ||
178 |
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2 | pinocchio::Model model; |
179 |
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2 | pinocchio::buildModels::humanoidRandom(model); |
180 |
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2 | pinocchio::Data data(model), data_ref(model); |
181 | |||
182 |
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2 | model.lowerPositionLimit.head<7>().fill(-1.); |
183 |
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2 | model.upperPositionLimit.head<7>().fill(1.); |
184 | |||
185 |
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2 | Eigen::VectorXd q = pinocchio::randomConfiguration(model); |
186 |
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2 | Eigen::VectorXd v = Eigen::VectorXd::Random(model.nv); |
187 |
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2 | Eigen::VectorXd a = Eigen::VectorXd::Random(model.nv); |
188 | |||
189 |
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2 | pinocchio::Data::Matrix6x dh_dq(6, model.nv), dhdot_dq(6, model.nv), dhdot_dv(6, model.nv), |
190 |
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2 | dhdot_da(6, model.nv); |
191 |
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2 | pinocchio::Data::Matrix6x dh_dq_ref(6, model.nv), dhdot_dq_ref(6, model.nv), |
192 |
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2 | dhdot_dv_ref(6, model.nv), dhdot_da_ref(6, model.nv); |
193 | |||
194 |
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2 | pinocchio::computeCentroidalDynamicsDerivatives( |
195 | model, data_ref, q, v, a, dh_dq_ref, dhdot_dq_ref, dhdot_dv_ref, dhdot_da_ref); | ||
196 | |||
197 |
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2 | pinocchio::computeRNEADerivatives(model, data, q, v, a); |
198 |
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2 | pinocchio::getCentroidalDynamicsDerivatives(model, data, dh_dq, dhdot_dq, dhdot_dv, dhdot_da); |
199 | |||
200 |
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2 | BOOST_CHECK(data.J.isApprox(data_ref.J)); |
201 | |||
202 |
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56 | for (pinocchio::Model::JointIndex k = 1; k < (pinocchio::Model::JointIndex)model.njoints; ++k) |
203 | { | ||
204 |
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54 | BOOST_CHECK(data.oYcrb[k].isApprox(data_ref.oYcrb[k])); |
205 |
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54 | pinocchio::Force force_ref = data_ref.of[k]; |
206 |
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54 | pinocchio::Force gravity_contribution = data.oYcrb[k] * (-model.gravity); |
207 |
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54 | pinocchio::Force force = data.of[k] - gravity_contribution; |
208 |
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54 | BOOST_CHECK(force.isApprox(force_ref)); |
209 | } | ||
210 | |||
211 |
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2 | BOOST_CHECK(data.com[0].isApprox(data_ref.com[0])); |
212 | |||
213 |
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2 | BOOST_CHECK(data.hg.isApprox(data_ref.hg)); |
214 |
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2 | BOOST_CHECK(data.dhg.isApprox(data_ref.dhg)); |
215 | |||
216 |
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2 | BOOST_CHECK(data.Fcrb[0].isApprox(data_ref.dFdq)); |
217 |
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2 | BOOST_CHECK(data.dFdv.isApprox(data_ref.dFdv)); |
218 |
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2 | BOOST_CHECK(data.dFda.isApprox(data_ref.dFda)); |
219 |
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2 | BOOST_CHECK(dh_dq.isApprox(dh_dq_ref)); |
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2 | BOOST_CHECK(dhdot_dq.isApprox(dhdot_dq_ref)); |
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2 | BOOST_CHECK(dhdot_dv.isApprox(dhdot_dv_ref)); |
222 |
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2 | BOOST_CHECK(dhdot_da.isApprox(dhdot_da_ref)); |
223 | 2 | } | |
224 | |||
225 |
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4 | BOOST_AUTO_TEST_CASE(test_retrieve_centroidal_derivatives_fromABA) |
226 | { | ||
227 |
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2 | pinocchio::Model model; |
228 |
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2 | pinocchio::buildModels::humanoidRandom(model); |
229 |
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2 | pinocchio::Data data(model), data_ref(model), data_rnea(model); |
230 | |||
231 |
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2 | model.lowerPositionLimit.head<7>().fill(-1.); |
232 |
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2 | model.upperPositionLimit.head<7>().fill(1.); |
233 | |||
234 |
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2 | Eigen::VectorXd q = pinocchio::randomConfiguration(model); |
235 |
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2 | Eigen::VectorXd v = Eigen::VectorXd::Random(model.nv); |
236 |
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2 | Eigen::VectorXd a = Eigen::VectorXd::Random(model.nv); |
237 | |||
238 |
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2 | pinocchio::Data::Matrix6x dh_dq(6, model.nv), dhdot_dq(6, model.nv), dhdot_dv(6, model.nv), |
239 |
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2 | dhdot_da(6, model.nv); |
240 |
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2 | pinocchio::Data::Matrix6x dh_dq_ref(6, model.nv), dhdot_dq_ref(6, model.nv), |
241 |
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2 | dhdot_dv_ref(6, model.nv), dhdot_da_ref(6, model.nv); |
242 | |||
243 |
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2 | pinocchio::computeCentroidalDynamicsDerivatives( |
244 | model, data_ref, q, v, a, dh_dq_ref, dhdot_dq_ref, dhdot_dv_ref, dhdot_da_ref); | ||
245 | |||
246 |
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2 | Eigen::VectorXd tau = rnea(model, data_rnea, q, v, a); |
247 |
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2 | pinocchio::computeABADerivatives(model, data, q, v, tau); |
248 |
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2 | pinocchio::computeRNEADerivatives(model, data_rnea, q, v, a); |
249 |
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2 | pinocchio::getCentroidalDynamicsDerivatives(model, data, dh_dq, dhdot_dq, dhdot_dv, dhdot_da); |
250 | |||
251 |
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2 | BOOST_CHECK(data.J.isApprox(data_ref.J)); |
252 |
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2 | BOOST_CHECK(data.dVdq.isApprox(data_rnea.dVdq)); |
253 |
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2 | BOOST_CHECK(data.dAdq.isApprox(data_rnea.dAdq)); |
254 |
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2 | BOOST_CHECK(data.dAdv.isApprox(data_rnea.dAdv)); |
255 |
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2 | BOOST_CHECK(data.dFdq.isApprox(data_rnea.dFdq)); |
256 |
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2 | BOOST_CHECK(data.dFdv.isApprox(data_rnea.dFdv)); |
257 |
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2 | BOOST_CHECK(data.dFda.isApprox(data_rnea.dFda)); |
258 | |||
259 |
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56 | for (pinocchio::Model::JointIndex k = 1; k < (pinocchio::Model::JointIndex)model.njoints; ++k) |
260 | { | ||
261 |
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54 | BOOST_CHECK(data.oYcrb[k].isApprox(data_ref.oYcrb[k])); |
262 |
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54 | BOOST_CHECK(data.oh[k].isApprox(data_ref.oh[k])); |
263 | 54 | const pinocchio::Force & force_ref = data_ref.of[k]; | |
264 |
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54 | const pinocchio::Force gravity_contribution = data.oYcrb[k] * (-model.gravity); |
265 |
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54 | const pinocchio::Force force = data.of[k] - gravity_contribution; |
266 |
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54 | BOOST_CHECK(force.isApprox(force_ref)); |
267 | } | ||
268 | |||
269 |
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2 | BOOST_CHECK(data.com[0].isApprox(data_ref.com[0])); |
270 | |||
271 |
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2 | BOOST_CHECK(data.hg.isApprox(data_ref.hg)); |
272 |
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2 | BOOST_CHECK(data.dhg.isApprox(data_ref.dhg)); |
273 | |||
274 |
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2 | BOOST_CHECK(data.Fcrb[0].isApprox(data_ref.dFdq)); |
275 |
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2 | BOOST_CHECK(data.dFdv.isApprox(data_ref.dFdv)); |
276 |
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2 | BOOST_CHECK(data.dFda.isApprox(data_ref.dFda)); |
277 |
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2 | BOOST_CHECK(dh_dq.isApprox(dh_dq_ref)); |
278 |
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2 | BOOST_CHECK(dhdot_dq.isApprox(dhdot_dq_ref)); |
279 |
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2 | BOOST_CHECK(dhdot_dv.isApprox(dhdot_dv_ref)); |
280 |
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2 | BOOST_CHECK(dhdot_da.isApprox(dhdot_da_ref)); |
281 | 2 | } | |
282 | |||
283 | BOOST_AUTO_TEST_SUITE_END() | ||
284 |