Directory: | ./ |
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File: | unittest/joint-prismatic.cpp |
Date: | 2025-02-12 21:03:38 |
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Lines: | 169 | 169 | 100.0% |
Branches: | 734 | 1468 | 50.0% |
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1 | // | ||
2 | // Copyright (c) 2015-2020 CNRS INRIA | ||
3 | // Copyright (c) 2015 Wandercraft, 86 rue de Paris 91400 Orsay, France. | ||
4 | // | ||
5 | |||
6 | #include "pinocchio/math/fwd.hpp" | ||
7 | #include "pinocchio/multibody/joint/joints.hpp" | ||
8 | #include "pinocchio/algorithm/rnea.hpp" | ||
9 | #include "pinocchio/algorithm/aba.hpp" | ||
10 | #include "pinocchio/algorithm/crba.hpp" | ||
11 | #include "pinocchio/algorithm/jacobian.hpp" | ||
12 | #include "pinocchio/algorithm/compute-all-terms.hpp" | ||
13 | |||
14 | #include <boost/test/unit_test.hpp> | ||
15 | #include <iostream> | ||
16 | |||
17 | using namespace pinocchio; | ||
18 | |||
19 | template<typename D> | ||
20 | 8 | void addJointAndBody( | |
21 | Model & model, | ||
22 | const JointModelBase<D> & jmodel, | ||
23 | const Model::JointIndex parent_id, | ||
24 | const SE3 & joint_placement, | ||
25 | const std::string & joint_name, | ||
26 | const Inertia & Y) | ||
27 | { | ||
28 | Model::JointIndex idx; | ||
29 | |||
30 |
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8 | idx = model.addJoint(parent_id, jmodel, joint_placement, joint_name); |
31 |
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8 | model.appendBodyToJoint(idx, Y); |
32 | 8 | } | |
33 | |||
34 | BOOST_AUTO_TEST_SUITE(JointPrismatic) | ||
35 | |||
36 |
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4 | BOOST_AUTO_TEST_CASE(spatial) |
37 | { | ||
38 | typedef TransformPrismaticTpl<double, 0, 0> TransformX; | ||
39 | typedef TransformPrismaticTpl<double, 0, 1> TransformY; | ||
40 | typedef TransformPrismaticTpl<double, 0, 2> TransformZ; | ||
41 | |||
42 | typedef SE3::Vector3 Vector3; | ||
43 | |||
44 | 2 | const double displacement = 0.2; | |
45 |
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2 | SE3 Mplain, Mrand(SE3::Random()); |
46 | |||
47 | 2 | TransformX Mx(displacement); | |
48 |
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2 | Mplain = Mx; |
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2 | BOOST_CHECK(Mplain.translation().isApprox(Vector3(displacement, 0, 0))); |
50 |
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2 | BOOST_CHECK(Mplain.rotation().isIdentity()); |
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2 | BOOST_CHECK((Mrand * Mplain).isApprox(Mrand * Mx)); |
52 | |||
53 | 2 | TransformY My(displacement); | |
54 |
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2 | Mplain = My; |
55 |
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2 | BOOST_CHECK(Mplain.translation().isApprox(Vector3(0, displacement, 0))); |
56 |
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2 | BOOST_CHECK(Mplain.rotation().isIdentity()); |
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2 | BOOST_CHECK((Mrand * Mplain).isApprox(Mrand * My)); |
58 | |||
59 | 2 | TransformZ Mz(displacement); | |
60 |
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2 | Mplain = Mz; |
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2 | BOOST_CHECK(Mplain.translation().isApprox(Vector3(0, 0, displacement))); |
62 |
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2 | BOOST_CHECK(Mplain.rotation().isIdentity()); |
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2 | BOOST_CHECK((Mrand * Mplain).isApprox(Mrand * Mz)); |
64 | |||
65 |
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2 | SE3 M(SE3::Random()); |
66 |
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2 | Motion v(Motion::Random()); |
67 | |||
68 | 2 | MotionPrismaticTpl<double, 0, 0> mp_x(2.); | |
69 |
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2 | Motion mp_dense_x(mp_x); |
70 | |||
71 |
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2 | BOOST_CHECK(M.act(mp_x).isApprox(M.act(mp_dense_x))); |
72 |
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2 | BOOST_CHECK(M.actInv(mp_x).isApprox(M.actInv(mp_dense_x))); |
73 | |||
74 |
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2 | BOOST_CHECK(v.cross(mp_x).isApprox(v.cross(mp_dense_x))); |
75 | |||
76 | 2 | MotionPrismaticTpl<double, 0, 1> mp_y(2.); | |
77 |
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2 | Motion mp_dense_y(mp_y); |
78 | |||
79 |
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2 | BOOST_CHECK(M.act(mp_y).isApprox(M.act(mp_dense_y))); |
80 |
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2 | BOOST_CHECK(M.actInv(mp_y).isApprox(M.actInv(mp_dense_y))); |
81 | |||
82 |
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2 | BOOST_CHECK(v.cross(mp_y).isApprox(v.cross(mp_dense_y))); |
83 | |||
84 | 2 | MotionPrismaticTpl<double, 0, 2> mp_z(2.); | |
85 |
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2 | Motion mp_dense_z(mp_z); |
86 | |||
87 |
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2 | BOOST_CHECK(M.act(mp_z).isApprox(M.act(mp_dense_z))); |
88 |
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2 | BOOST_CHECK(M.actInv(mp_z).isApprox(M.actInv(mp_dense_z))); |
89 | |||
90 |
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2 | BOOST_CHECK(v.cross(mp_z).isApprox(v.cross(mp_dense_z))); |
91 | 2 | } | |
92 | |||
93 |
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4 | BOOST_AUTO_TEST_CASE(test_kinematics) |
94 | { | ||
95 | using namespace pinocchio; | ||
96 | |||
97 |
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2 | Motion expected_v_J(Motion::Zero()); |
98 |
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2 | Motion expected_c_J(Motion::Zero()); |
99 | |||
100 |
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2 | SE3 expected_configuration(SE3::Identity()); |
101 | |||
102 |
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2 | JointDataPX joint_data; |
103 |
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2 | JointModelPX joint_model; |
104 | |||
105 |
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2 | joint_model.setIndexes(0, 0, 0); |
106 | |||
107 |
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2 | Eigen::VectorXd q(Eigen::VectorXd::Zero(1)); |
108 |
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2 | Eigen::VectorXd q_dot(Eigen::VectorXd::Zero(1)); |
109 | |||
110 | // ------- | ||
111 |
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2 | q << 0.; |
112 |
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2 | q_dot << 0.; |
113 | |||
114 |
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2 | joint_model.calc(joint_data, q, q_dot); |
115 | |||
116 |
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2 | BOOST_CHECK(expected_configuration.rotation().isApprox(joint_data.M.rotation(), 1e-12)); |
117 |
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2 | BOOST_CHECK(expected_configuration.translation().isApprox(joint_data.M.translation(), 1e-12)); |
118 |
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2 | BOOST_CHECK(expected_v_J.toVector().isApprox(((Motion)joint_data.v).toVector(), 1e-12)); |
119 |
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2 | BOOST_CHECK(expected_c_J.isApprox((Motion)joint_data.c, 1e-12)); |
120 | |||
121 | // ------- | ||
122 |
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2 | q << 1.; |
123 |
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2 | q_dot << 1.; |
124 | |||
125 |
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2 | joint_model.calc(joint_data, q, q_dot); |
126 | |||
127 |
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2 | expected_configuration.translation() << 1, 0, 0; |
128 | |||
129 |
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2 | expected_v_J.linear() << 1., 0., 0.; |
130 | |||
131 |
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2 | BOOST_CHECK(expected_configuration.rotation().isApprox(joint_data.M.rotation(), 1e-12)); |
132 |
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2 | BOOST_CHECK(expected_configuration.translation().isApprox(joint_data.M.translation(), 1e-12)); |
133 |
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2 | BOOST_CHECK(expected_v_J.toVector().isApprox(((Motion)joint_data.v).toVector(), 1e-12)); |
134 |
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2 | BOOST_CHECK(expected_c_J.isApprox((Motion)joint_data.c, 1e-12)); |
135 | 2 | } | |
136 | |||
137 |
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4 | BOOST_AUTO_TEST_CASE(test_rnea) |
138 | { | ||
139 | using namespace pinocchio; | ||
140 | typedef SE3::Vector3 Vector3; | ||
141 | typedef SE3::Matrix3 Matrix3; | ||
142 | |||
143 |
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2 | Model model; |
144 |
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2 | Inertia inertia(1., Vector3(0.5, 0., 0.0), Matrix3::Identity()); |
145 | |||
146 |
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10 | addJointAndBody( |
147 |
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8 | model, JointModelPX(), model.getJointId("universe"), SE3::Identity(), "root", inertia); |
148 | |||
149 |
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2 | Data data(model); |
150 | |||
151 |
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2 | Eigen::VectorXd q(Eigen::VectorXd::Zero(model.nq)); |
152 |
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2 | Eigen::VectorXd v(Eigen::VectorXd::Zero(model.nv)); |
153 |
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2 | Eigen::VectorXd a(Eigen::VectorXd::Zero(model.nv)); |
154 | |||
155 |
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2 | rnea(model, data, q, v, a); |
156 | |||
157 |
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2 | Eigen::VectorXd tau_expected(Eigen::VectorXd::Zero(model.nq)); |
158 |
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2 | tau_expected << 0; |
159 | |||
160 |
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2 | BOOST_CHECK(tau_expected.isApprox(data.tau, 1e-14)); |
161 | |||
162 | // ----- | ||
163 |
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2 | q = Eigen::VectorXd::Ones(model.nq); |
164 |
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2 | v = Eigen::VectorXd::Ones(model.nv); |
165 |
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2 | a = Eigen::VectorXd::Ones(model.nv); |
166 | |||
167 |
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2 | rnea(model, data, q, v, a); |
168 |
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2 | tau_expected << 1; |
169 | |||
170 |
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2 | BOOST_CHECK(tau_expected.isApprox(data.tau, 1e-12)); |
171 | |||
172 |
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2 | q << 3; |
173 |
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2 | v = Eigen::VectorXd::Ones(model.nv); |
174 |
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2 | a = Eigen::VectorXd::Ones(model.nv); |
175 | |||
176 |
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2 | rnea(model, data, q, v, a); |
177 |
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2 | tau_expected << 1; |
178 | |||
179 |
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2 | BOOST_CHECK(tau_expected.isApprox(data.tau, 1e-12)); |
180 | 2 | } | |
181 | |||
182 |
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4 | BOOST_AUTO_TEST_CASE(test_crba) |
183 | { | ||
184 | using namespace pinocchio; | ||
185 | using namespace std; | ||
186 | typedef SE3::Vector3 Vector3; | ||
187 | typedef SE3::Matrix3 Matrix3; | ||
188 | |||
189 |
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2 | Model model; |
190 |
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2 | Inertia inertia(1., Vector3(0.5, 0., 0.0), Matrix3::Identity()); |
191 | |||
192 |
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10 | addJointAndBody( |
193 |
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8 | model, JointModelPX(), model.getJointId("universe"), SE3::Identity(), "root", inertia); |
194 | |||
195 |
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2 | Data data(model); |
196 | |||
197 |
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2 | Eigen::VectorXd q(Eigen::VectorXd::Zero(model.nq)); |
198 |
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2 | Eigen::MatrixXd M_expected(model.nv, model.nv); |
199 | |||
200 |
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2 | crba(model, data, q, Convention::WORLD); |
201 |
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2 | M_expected << 1.0; |
202 | |||
203 |
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2 | BOOST_CHECK(M_expected.isApprox(data.M, 1e-14)); |
204 | |||
205 |
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2 | q = Eigen::VectorXd::Ones(model.nq); |
206 | |||
207 |
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2 | crba(model, data, q, Convention::WORLD); |
208 | |||
209 |
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2 | BOOST_CHECK(M_expected.isApprox(data.M, 1e-12)); |
210 | |||
211 |
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2 | q << 3; |
212 | |||
213 |
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2 | crba(model, data, q, Convention::WORLD); |
214 | |||
215 |
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2 | BOOST_CHECK(M_expected.isApprox(data.M, 1e-10)); |
216 | 2 | } | |
217 | |||
218 | BOOST_AUTO_TEST_SUITE_END() | ||
219 | |||
220 | BOOST_AUTO_TEST_SUITE(JointPrismaticUnaligned) | ||
221 | |||
222 |
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4 | BOOST_AUTO_TEST_CASE(spatial) |
223 | { | ||
224 |
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2 | SE3 M(SE3::Random()); |
225 |
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2 | Motion v(Motion::Random()); |
226 | |||
227 |
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2 | MotionPrismaticUnaligned mp(MotionPrismaticUnaligned::Vector3(1., 2., 3.), 6.); |
228 |
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2 | Motion mp_dense(mp); |
229 | |||
230 |
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2 | BOOST_CHECK(M.act(mp).isApprox(M.act(mp_dense))); |
231 |
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2 | BOOST_CHECK(M.actInv(mp).isApprox(M.actInv(mp_dense))); |
232 | |||
233 |
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2 | BOOST_CHECK(v.cross(mp).isApprox(v.cross(mp_dense))); |
234 | 2 | } | |
235 | |||
236 |
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4 | BOOST_AUTO_TEST_CASE(vsPX) |
237 | { | ||
238 | using namespace pinocchio; | ||
239 | typedef SE3::Vector3 Vector3; | ||
240 | typedef SE3::Matrix3 Matrix3; | ||
241 | |||
242 |
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2 | Eigen::Vector3d axis; |
243 |
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2 | axis << 1.0, 0.0, 0.0; |
244 | |||
245 |
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2 | Model modelPX, modelPrismaticUnaligned; |
246 | |||
247 |
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2 | Inertia inertia(1., Vector3(0.5, 0., 0.0), Matrix3::Identity()); |
248 |
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2 | SE3 pos(1); |
249 |
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2 | pos.translation() = SE3::LinearType(1., 0., 0.); |
250 | |||
251 |
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2 | JointModelPrismaticUnaligned joint_model_PU(axis); |
252 | |||
253 |
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2 | addJointAndBody(modelPX, JointModelPX(), 0, pos, "px", inertia); |
254 |
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2 | addJointAndBody(modelPrismaticUnaligned, joint_model_PU, 0, pos, "prismatic-unaligned", inertia); |
255 | |||
256 |
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2 | Data dataPX(modelPX); |
257 |
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2 | Data dataPrismaticUnaligned(modelPrismaticUnaligned); |
258 | |||
259 |
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2 | Eigen::VectorXd q = Eigen::VectorXd::Ones(modelPX.nq); |
260 |
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2 | Eigen::VectorXd v = Eigen::VectorXd::Ones(modelPX.nv); |
261 |
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2 | Eigen::VectorXd tauPX = Eigen::VectorXd::Ones(modelPX.nv); |
262 |
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2 | Eigen::VectorXd tauPrismaticUnaligned = Eigen::VectorXd::Ones(modelPrismaticUnaligned.nv); |
263 |
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2 | Eigen::VectorXd aPX = Eigen::VectorXd::Ones(modelPX.nv); |
264 |
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2 | Eigen::VectorXd aPrismaticUnaligned(aPX); |
265 | |||
266 |
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2 | forwardKinematics(modelPX, dataPX, q, v); |
267 |
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2 | forwardKinematics(modelPrismaticUnaligned, dataPrismaticUnaligned, q, v); |
268 | |||
269 |
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2 | computeAllTerms(modelPX, dataPX, q, v); |
270 |
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2 | computeAllTerms(modelPrismaticUnaligned, dataPrismaticUnaligned, q, v); |
271 | |||
272 |
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2 | BOOST_CHECK(dataPrismaticUnaligned.oMi[1].isApprox(dataPX.oMi[1])); |
273 |
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2 | BOOST_CHECK(dataPrismaticUnaligned.liMi[1].isApprox(dataPX.liMi[1])); |
274 |
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2 | BOOST_CHECK(dataPrismaticUnaligned.Ycrb[1].matrix().isApprox(dataPX.Ycrb[1].matrix())); |
275 |
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2 | BOOST_CHECK(dataPrismaticUnaligned.f[1].toVector().isApprox(dataPX.f[1].toVector())); |
276 | |||
277 |
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2 | BOOST_CHECK(dataPrismaticUnaligned.nle.isApprox(dataPX.nle)); |
278 |
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2 | BOOST_CHECK(dataPrismaticUnaligned.com[0].isApprox(dataPX.com[0])); |
279 | |||
280 | // InverseDynamics == rnea | ||
281 |
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2 | tauPX = rnea(modelPX, dataPX, q, v, aPX); |
282 | tauPrismaticUnaligned = | ||
283 |
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2 | rnea(modelPrismaticUnaligned, dataPrismaticUnaligned, q, v, aPrismaticUnaligned); |
284 | |||
285 |
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2 | BOOST_CHECK(tauPX.isApprox(tauPrismaticUnaligned)); |
286 | |||
287 | // ForwardDynamics == aba | ||
288 |
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2 | Eigen::VectorXd aAbaPX = aba(modelPX, dataPX, q, v, tauPX, Convention::WORLD); |
289 |
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2 | Eigen::VectorXd aAbaPrismaticUnaligned = aba( |
290 | modelPrismaticUnaligned, dataPrismaticUnaligned, q, v, tauPrismaticUnaligned, | ||
291 |
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2 | Convention::WORLD); |
292 | |||
293 |
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2 | BOOST_CHECK(aAbaPX.isApprox(aAbaPrismaticUnaligned)); |
294 | |||
295 | // crba | ||
296 |
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2 | crba(modelPX, dataPX, q, Convention::WORLD); |
297 |
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2 | crba(modelPrismaticUnaligned, dataPrismaticUnaligned, q, Convention::WORLD); |
298 | |||
299 |
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2 | BOOST_CHECK(dataPX.M.isApprox(dataPrismaticUnaligned.M)); |
300 | |||
301 | // Jacobian | ||
302 |
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2 | Eigen::Matrix<double, 6, Eigen::Dynamic> jacobianPX; |
303 |
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2 | jacobianPX.resize(6, 1); |
304 |
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2 | jacobianPX.setZero(); |
305 |
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2 | Eigen::Matrix<double, 6, Eigen::Dynamic> jacobianPrismaticUnaligned; |
306 |
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2 | jacobianPrismaticUnaligned.resize(6, 1); |
307 |
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2 | jacobianPrismaticUnaligned.setZero(); |
308 |
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2 | computeJointJacobians(modelPX, dataPX, q); |
309 |
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2 | computeJointJacobians(modelPrismaticUnaligned, dataPrismaticUnaligned, q); |
310 |
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2 | getJointJacobian(modelPX, dataPX, 1, LOCAL, jacobianPX); |
311 |
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2 | getJointJacobian( |
312 | modelPrismaticUnaligned, dataPrismaticUnaligned, 1, LOCAL, jacobianPrismaticUnaligned); | ||
313 | |||
314 |
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2 | BOOST_CHECK(jacobianPX.isApprox(jacobianPrismaticUnaligned)); |
315 | 2 | } | |
316 | |||
317 | BOOST_AUTO_TEST_SUITE_END() | ||
318 |