Directory: | ./ |
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File: | unittest/casadi/algorithms.cpp |
Date: | 2025-02-12 21:03:38 |
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Lines: | 398 | 398 | 100.0% |
Branches: | 1155 | 2296 | 50.3% |
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1 | // | ||
2 | // Copyright (c) 2019-2021 INRIA | ||
3 | // | ||
4 | |||
5 | #include "pinocchio/autodiff/casadi.hpp" | ||
6 | |||
7 | #include "pinocchio/multibody/model.hpp" | ||
8 | #include "pinocchio/multibody/data.hpp" | ||
9 | |||
10 | #include "pinocchio/algorithm/kinematics.hpp" | ||
11 | #include "pinocchio/algorithm/frames.hpp" | ||
12 | #include "pinocchio/algorithm/jacobian.hpp" | ||
13 | #include "pinocchio/algorithm/crba.hpp" | ||
14 | #include "pinocchio/algorithm/rnea.hpp" | ||
15 | #include "pinocchio/algorithm/aba.hpp" | ||
16 | #include "pinocchio/algorithm/joint-configuration.hpp" | ||
17 | #include "pinocchio/algorithm/energy.hpp" | ||
18 | |||
19 | #include "pinocchio/multibody/sample-models.hpp" | ||
20 | |||
21 | #include <boost/test/unit_test.hpp> | ||
22 | #include <boost/utility/binary.hpp> | ||
23 | |||
24 | #include "casadi-utils.hpp" | ||
25 | |||
26 | BOOST_AUTO_TEST_SUITE(BOOST_TEST_MODULE) | ||
27 | |||
28 |
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4 | BOOST_AUTO_TEST_CASE(test_jacobian) |
29 | { | ||
30 | typedef double Scalar; | ||
31 | typedef casadi::SX ADScalar; | ||
32 | |||
33 | typedef pinocchio::ModelTpl<Scalar> Model; | ||
34 | typedef Model::Data Data; | ||
35 | |||
36 | typedef pinocchio::ModelTpl<ADScalar> ADModel; | ||
37 | typedef ADModel::Data ADData; | ||
38 | |||
39 |
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2 | Model model; |
40 |
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2 | pinocchio::buildModels::humanoidRandom(model); |
41 |
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2 | model.lowerPositionLimit.head<3>().fill(-1.); |
42 |
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2 | model.upperPositionLimit.head<3>().fill(1.); |
43 |
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2 | Data data(model); |
44 | |||
45 | typedef Model::ConfigVectorType ConfigVector; | ||
46 | typedef Model::TangentVectorType TangentVector; | ||
47 |
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2 | ConfigVector q(model.nq); |
48 |
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2 | q = pinocchio::randomConfiguration(model); |
49 |
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2 | TangentVector v(TangentVector::Random(model.nv)); |
50 | |||
51 | typedef ADModel::ConfigVectorType ConfigVectorAD; | ||
52 | typedef ADModel::TangentVectorType TangentVectorAD; | ||
53 |
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2 | ADModel ad_model = model.cast<ADScalar>(); |
54 |
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2 | ADData ad_data(ad_model); |
55 | |||
56 | Model::Index joint_id = | ||
57 |
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2 | model.existJointName("rarm2") ? model.getJointId("rarm2") : (Model::Index)(model.njoints - 1); |
58 |
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2 | Data::Matrix6x jacobian_local(6, model.nv), jacobian_world(6, model.nv); |
59 |
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2 | jacobian_local.setZero(); |
60 |
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2 | jacobian_world.setZero(); |
61 | |||
62 |
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2 | BOOST_CHECK(jacobian_local.isZero() && jacobian_world.isZero()); |
63 | |||
64 |
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2 | pinocchio::computeJointJacobians(model, data, q); |
65 |
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2 | pinocchio::getJointJacobian(model, data, joint_id, pinocchio::WORLD, jacobian_world); |
66 |
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2 | pinocchio::getJointJacobian(model, data, joint_id, pinocchio::LOCAL, jacobian_local); |
67 | |||
68 |
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4 | casadi::SX cs_q = casadi::SX::sym("q", model.nq); |
69 |
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2 | ConfigVectorAD q_ad(model.nq); |
70 |
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68 | for (Eigen::DenseIndex k = 0; k < model.nq; ++k) |
71 | { | ||
72 |
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66 | q_ad[k] = cs_q(k); |
73 | } | ||
74 |
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2 | std::cout << "q =\n " << q_ad << std::endl; |
75 | |||
76 |
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4 | casadi::SX cs_v = casadi::SX::sym("v", model.nv); |
77 |
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2 | TangentVectorAD v_ad(model.nv); |
78 |
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66 | for (Eigen::DenseIndex k = 0; k < model.nv; ++k) |
79 | { | ||
80 |
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64 | v_ad[k] = cs_v(k); |
81 | } | ||
82 |
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2 | std::cout << "v =\n " << v_ad << std::endl; |
83 | |||
84 |
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2 | pinocchio::forwardKinematics(ad_model, ad_data, q_ad, v_ad); |
85 | typedef pinocchio::MotionTpl<ADScalar> MotionAD; | ||
86 | 2 | MotionAD & v_local = ad_data.v[(size_t)joint_id]; | |
87 |
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2 | MotionAD v_world = ad_data.oMi[(size_t)joint_id].act(v_local); |
88 | |||
89 |
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2 | casadi::SX cs_v_local(6, 1), cs_v_world(6, 1); |
90 |
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14 | for (Eigen::DenseIndex k = 0; k < 6; ++k) |
91 | { | ||
92 |
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12 | cs_v_local(k) = v_local.toVector()[k]; |
93 |
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12 | cs_v_world(k) = v_world.toVector()[k]; |
94 | } | ||
95 |
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2 | std::cout << "v_local = " << cs_v_local << std::endl; |
96 |
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2 | std::cout << "v_world = " << cs_v_world << std::endl; |
97 | |||
98 | casadi::Function eval_velocity_local( | ||
99 |
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14 | "eval_velocity_local", casadi::SXVector{cs_q, cs_v}, casadi::SXVector{cs_v_local}); |
100 |
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2 | std::cout << "eval_velocity_local = " << eval_velocity_local << std::endl; |
101 | |||
102 | casadi::Function eval_velocity_world( | ||
103 |
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14 | "eval_velocity_world", casadi::SXVector{cs_q, cs_v}, casadi::SXVector{cs_v_world}); |
104 |
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2 | std::cout << "eval_velocity_world = " << eval_velocity_world << std::endl; |
105 | |||
106 |
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2 | casadi::SX dv_dv_local = jacobian(cs_v_local, cs_v); |
107 | casadi::Function eval_jacobian_local( | ||
108 |
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14 | "eval_jacobian_local", casadi::SXVector{cs_q, cs_v}, casadi::SXVector{dv_dv_local}); |
109 |
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2 | std::cout << "eval_jacobian_local = " << eval_jacobian_local << std::endl; |
110 | |||
111 |
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2 | casadi::SX dv_dv_world = jacobian(cs_v_world, cs_v); |
112 | casadi::Function eval_jacobian_world( | ||
113 |
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14 | "eval_jacobian_world", casadi::SXVector{cs_q, cs_v}, casadi::SXVector{dv_dv_world}); |
114 | |||
115 |
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2 | std::vector<double> q_vec((size_t)model.nq); |
116 |
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2 | Eigen::Map<ConfigVector>(q_vec.data(), model.nq, 1) = q; |
117 | |||
118 |
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2 | std::vector<double> v_vec((size_t)model.nv); |
119 |
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2 | Eigen::Map<TangentVector>(v_vec.data(), model.nv, 1) = v; |
120 | |||
121 |
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8 | casadi::DMVector v_local_res = eval_velocity_local(casadi::DMVector{q_vec, v_vec}); |
122 |
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8 | casadi::DMVector J_local_res = eval_jacobian_local(casadi::DMVector{q_vec, v_vec}); |
123 |
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2 | std::cout << "J_local_res:" << J_local_res << std::endl; |
124 | |||
125 |
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2 | std::vector<double> v_local_vec(static_cast<std::vector<double>>(v_local_res[0])); |
126 |
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2 | BOOST_CHECK( |
127 | (jacobian_local * v).isApprox(Eigen::Map<pinocchio::Motion::Vector6>(v_local_vec.data()))); | ||
128 | |||
129 |
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8 | casadi::DMVector v_world_res = eval_velocity_world(casadi::DMVector{q_vec, v_vec}); |
130 |
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8 | casadi::DMVector J_world_res = eval_jacobian_world(casadi::DMVector{q_vec, v_vec}); |
131 | |||
132 |
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2 | std::vector<double> v_world_vec(static_cast<std::vector<double>>(v_world_res[0])); |
133 |
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2 | BOOST_CHECK( |
134 | (jacobian_world * v).isApprox(Eigen::Map<pinocchio::Motion::Vector6>(v_world_vec.data()))); | ||
135 | |||
136 |
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2 | Data::Matrix6x J_local_mat(6, model.nv), J_world_mat(6, model.nv); |
137 | |||
138 |
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2 | std::vector<double> J_local_vec(static_cast<std::vector<double>>(J_local_res[0])); |
139 |
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2 | J_local_mat = Eigen::Map<Data::Matrix6x>(J_local_vec.data(), 6, model.nv); |
140 |
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2 | BOOST_CHECK(jacobian_local.isApprox(J_local_mat)); |
141 | |||
142 |
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2 | std::vector<double> J_world_vec(static_cast<std::vector<double>>(J_world_res[0])); |
143 |
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2 | J_world_mat = Eigen::Map<Data::Matrix6x>(J_world_vec.data(), 6, model.nv); |
144 |
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2 | BOOST_CHECK(jacobian_world.isApprox(J_world_mat)); |
145 | 2 | } | |
146 | |||
147 |
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4 | BOOST_AUTO_TEST_CASE(test_fk) |
148 | { | ||
149 | typedef double Scalar; | ||
150 | typedef casadi::SX ADScalar; | ||
151 | |||
152 | typedef pinocchio::ModelTpl<Scalar> Model; | ||
153 | typedef Model::Data Data; | ||
154 | |||
155 | typedef pinocchio::ModelTpl<ADScalar> ADModel; | ||
156 | typedef ADModel::Data ADData; | ||
157 | |||
158 |
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2 | Model model; |
159 |
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2 | pinocchio::buildModels::humanoidRandom(model); |
160 |
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2 | model.lowerPositionLimit.head<3>().fill(-1.); |
161 |
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2 | model.upperPositionLimit.head<3>().fill(1.); |
162 |
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2 | Data data(model); |
163 | |||
164 | typedef Model::ConfigVectorType ConfigVector; | ||
165 | typedef Model::TangentVectorType TangentVector; | ||
166 |
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2 | ConfigVector q(model.nq); |
167 |
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2 | q = pinocchio::randomConfiguration(model); |
168 |
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2 | TangentVector v(TangentVector::Random(model.nv)); |
169 |
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2 | TangentVector a(TangentVector::Random(model.nv)); |
170 | |||
171 |
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2 | pinocchio::forwardKinematics(model, data, q); |
172 | |||
173 | typedef ADModel::ConfigVectorType ConfigVectorAD; | ||
174 | typedef ADModel::TangentVectorType TangentVectorAD; | ||
175 |
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2 | ADModel ad_model = model.cast<ADScalar>(); |
176 |
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2 | ADData ad_data(ad_model); |
177 | |||
178 |
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4 | casadi::SX cs_q = casadi::SX::sym("q", model.nq); |
179 |
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2 | ConfigVectorAD q_ad(model.nq); |
180 |
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2 | pinocchio::casadi::copy(cs_q, q_ad); |
181 | |||
182 |
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4 | casadi::SX cs_v = casadi::SX::sym("v", model.nv); |
183 |
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2 | TangentVectorAD v_ad(model.nv); |
184 |
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2 | pinocchio::casadi::copy(cs_v, v_ad); |
185 | |||
186 |
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4 | casadi::SX cs_a = casadi::SX::sym("a", model.nv); |
187 |
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2 | TangentVectorAD a_ad(model.nv); |
188 |
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2 | pinocchio::casadi::copy(cs_a, a_ad); |
189 | |||
190 |
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2 | pinocchio::forwardKinematics(ad_model, ad_data, q_ad, v_ad, a_ad); |
191 |
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2 | pinocchio::updateGlobalPlacements(ad_model, ad_data); |
192 |
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2 | pinocchio::updateFramePlacements(ad_model, ad_data); |
193 | // typedef pinocchio::MotionTpl<ADScalar> MotionAD; | ||
194 | 2 | } | |
195 | |||
196 |
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4 | BOOST_AUTO_TEST_CASE(test_rnea) |
197 | { | ||
198 | typedef double Scalar; | ||
199 | typedef casadi::SX ADScalar; | ||
200 | |||
201 | typedef pinocchio::ModelTpl<Scalar> Model; | ||
202 | typedef Model::Data Data; | ||
203 | |||
204 | typedef pinocchio::ModelTpl<ADScalar> ADModel; | ||
205 | typedef ADModel::Data ADData; | ||
206 | |||
207 |
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2 | Model model; |
208 |
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2 | pinocchio::buildModels::humanoidRandom(model); |
209 |
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2 | model.lowerPositionLimit.head<3>().fill(-1.); |
210 |
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2 | model.upperPositionLimit.head<3>().fill(1.); |
211 |
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2 | Data data(model); |
212 | |||
213 | typedef Model::ConfigVectorType ConfigVector; | ||
214 | typedef Model::TangentVectorType TangentVector; | ||
215 |
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2 | ConfigVector q(model.nq); |
216 |
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2 | q = pinocchio::randomConfiguration(model); |
217 |
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2 | TangentVector v(TangentVector::Random(model.nv)); |
218 |
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2 | TangentVector a(TangentVector::Random(model.nv)); |
219 | |||
220 | typedef ADModel::ConfigVectorType ConfigVectorAD; | ||
221 | typedef ADModel::TangentVectorType TangentVectorAD; | ||
222 |
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2 | ADModel ad_model = model.cast<ADScalar>(); |
223 |
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2 | ADData ad_data(ad_model); |
224 | |||
225 |
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2 | pinocchio::rnea(model, data, q, v, a); |
226 | |||
227 |
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4 | casadi::SX cs_q = casadi::SX::sym("q", model.nq); |
228 |
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2 | ConfigVectorAD q_ad(model.nq); |
229 |
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2 | q_ad = Eigen::Map<ConfigVectorAD>(static_cast<std::vector<ADScalar>>(cs_q).data(), model.nq, 1); |
230 | |||
231 |
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4 | casadi::SX cs_v = casadi::SX::sym("v", model.nv); |
232 |
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2 | TangentVectorAD v_ad(model.nv); |
233 |
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2 | v_ad = Eigen::Map<TangentVectorAD>(static_cast<std::vector<ADScalar>>(cs_v).data(), model.nv, 1); |
234 | |||
235 |
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4 | casadi::SX cs_a = casadi::SX::sym("a", model.nv); |
236 |
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2 | TangentVectorAD a_ad(model.nv); |
237 |
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2 | a_ad = Eigen::Map<TangentVectorAD>(static_cast<std::vector<ADScalar>>(cs_a).data(), model.nv, 1); |
238 | |||
239 |
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2 | rnea(ad_model, ad_data, q_ad, v_ad, a_ad); |
240 |
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2 | casadi::SX tau_ad(model.nv, 1); |
241 | // Eigen::Map<TangentVectorAD>(tau_ad->data(),model.nv,1) | ||
242 | // = ad_data.tau; | ||
243 |
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66 | for (Eigen::DenseIndex k = 0; k < model.nv; ++k) |
244 |
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64 | tau_ad(k) = ad_data.tau[k]; |
245 | casadi::Function eval_rnea( | ||
246 |
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16 | "eval_rnea", casadi::SXVector{cs_q, cs_v, cs_a}, casadi::SXVector{tau_ad}); |
247 | |||
248 |
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2 | std::vector<double> q_vec((size_t)model.nq); |
249 |
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2 | Eigen::Map<ConfigVector>(q_vec.data(), model.nq, 1) = q; |
250 | |||
251 |
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2 | std::vector<double> v_vec((size_t)model.nv); |
252 |
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2 | Eigen::Map<TangentVector>(v_vec.data(), model.nv, 1) = v; |
253 | |||
254 |
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2 | std::vector<double> a_vec((size_t)model.nv); |
255 |
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2 | Eigen::Map<TangentVector>(a_vec.data(), model.nv, 1) = a; |
256 |
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10 | casadi::DM tau_res = eval_rnea(casadi::DMVector{q_vec, v_vec, a_vec})[0]; |
257 |
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2 | std::cout << "tau_res = " << tau_res << std::endl; |
258 |
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6 | Data::TangentVectorType tau_vec = Eigen::Map<Data::TangentVectorType>( |
259 |
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6 | static_cast<std::vector<double>>(tau_res).data(), model.nv, 1); |
260 | |||
261 |
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2 | BOOST_CHECK(data.tau.isApprox(tau_vec)); |
262 | 2 | } | |
263 | |||
264 |
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4 | BOOST_AUTO_TEST_CASE(test_crba) |
265 | { | ||
266 | typedef double Scalar; | ||
267 | typedef casadi::SX ADScalar; | ||
268 | |||
269 | typedef pinocchio::ModelTpl<Scalar> Model; | ||
270 | typedef Model::Data Data; | ||
271 | |||
272 | typedef pinocchio::ModelTpl<ADScalar> ADModel; | ||
273 | typedef ADModel::Data ADData; | ||
274 | |||
275 |
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2 | Model model; |
276 |
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2 | pinocchio::buildModels::humanoidRandom(model); |
277 |
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2 | model.lowerPositionLimit.head<3>().fill(-1.); |
278 |
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2 | model.upperPositionLimit.head<3>().fill(1.); |
279 |
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2 | Data data(model); |
280 | |||
281 | typedef Model::ConfigVectorType ConfigVector; | ||
282 | typedef Model::TangentVectorType TangentVector; | ||
283 |
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2 | ConfigVector q(model.nq); |
284 |
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2 | q = pinocchio::randomConfiguration(model); |
285 |
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2 | TangentVector v(TangentVector::Random(model.nv)); |
286 |
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2 | TangentVector a(TangentVector::Random(model.nv)); |
287 | |||
288 | typedef ADModel::ConfigVectorType ConfigVectorAD; | ||
289 | typedef ADModel::TangentVectorType TangentVectorAD; | ||
290 |
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2 | ADModel ad_model = model.cast<ADScalar>(); |
291 |
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2 | ADData ad_data(ad_model); |
292 | |||
293 |
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2 | pinocchio::crba(model, data, q, pinocchio::Convention::WORLD); |
294 |
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2 | data.M.triangularView<Eigen::StrictlyLower>() = |
295 |
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4 | data.M.transpose().triangularView<Eigen::StrictlyLower>(); |
296 |
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2 | pinocchio::rnea(model, data, q, v, a); |
297 | |||
298 |
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4 | casadi::SX cs_q = casadi::SX::sym("q", model.nq); |
299 |
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2 | ConfigVectorAD q_ad(model.nq); |
300 |
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2 | q_ad = Eigen::Map<ConfigVectorAD>(static_cast<std::vector<ADScalar>>(cs_q).data(), model.nq, 1); |
301 | |||
302 |
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4 | casadi::SX cs_v = casadi::SX::sym("v", model.nv); |
303 |
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2 | TangentVectorAD v_ad(model.nv); |
304 |
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2 | v_ad = Eigen::Map<TangentVectorAD>(static_cast<std::vector<ADScalar>>(cs_v).data(), model.nv, 1); |
305 | |||
306 |
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4 | casadi::SX cs_a = casadi::SX::sym("a", model.nv); |
307 |
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2 | TangentVectorAD a_ad(model.nv); |
308 |
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2 | a_ad = Eigen::Map<TangentVectorAD>(static_cast<std::vector<ADScalar>>(cs_a).data(), model.nv, 1); |
309 | |||
310 | // RNEA | ||
311 |
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2 | rnea(ad_model, ad_data, q_ad, v_ad, a_ad); |
312 |
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2 | casadi::SX cs_tau(model.nv, 1); |
313 | // Eigen::Map<TangentVectorAD>(tau_ad->data(),model.nv,1) | ||
314 | // = ad_data.tau; | ||
315 |
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66 | for (Eigen::DenseIndex k = 0; k < model.nv; ++k) |
316 |
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64 | cs_tau(k) = ad_data.tau[k]; |
317 | casadi::Function eval_rnea( | ||
318 |
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16 | "eval_rnea", casadi::SXVector{cs_q, cs_v, cs_a}, casadi::SXVector{cs_tau}); |
319 | // CRBA | ||
320 |
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2 | crba(ad_model, ad_data, q_ad, pinocchio::Convention::WORLD); |
321 |
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2 | ad_data.M.triangularView<Eigen::StrictlyLower>() = |
322 |
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4 | ad_data.M.transpose().triangularView<Eigen::StrictlyLower>(); |
323 |
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2 | casadi::SX M_ad(model.nv, model.nv); |
324 |
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66 | for (Eigen::DenseIndex j = 0; j < model.nv; ++j) |
325 | { | ||
326 |
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2112 | for (Eigen::DenseIndex i = 0; i < model.nv; ++i) |
327 | { | ||
328 |
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2048 | M_ad(i, j) = ad_data.M(i, j); |
329 | } | ||
330 | } | ||
331 | |||
332 |
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2 | std::vector<double> q_vec((size_t)model.nq); |
333 |
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2 | Eigen::Map<ConfigVector>(q_vec.data(), model.nq, 1) = q; |
334 | |||
335 |
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2 | std::vector<double> v_vec((size_t)model.nv); |
336 |
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2 | Eigen::Map<TangentVector>(v_vec.data(), model.nv, 1) = v; |
337 | |||
338 |
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2 | std::vector<double> a_vec((size_t)model.nv); |
339 |
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2 | Eigen::Map<TangentVector>(a_vec.data(), model.nv, 1) = a; |
340 | |||
341 |
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12 | casadi::Function eval_crba("eval_crba", casadi::SXVector{cs_q}, casadi::SXVector{M_ad}); |
342 |
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6 | casadi::DM M_res = eval_crba(casadi::DMVector{q_vec})[0]; |
343 | Data::MatrixXs M_mat = | ||
344 |
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2 | Eigen::Map<Data::MatrixXs>(static_cast<std::vector<double>>(M_res).data(), model.nv, model.nv); |
345 | |||
346 |
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2 | BOOST_CHECK(data.M.isApprox(M_mat)); |
347 | |||
348 |
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2 | casadi::SX dtau_da = jacobian(cs_tau, cs_a); |
349 | casadi::Function eval_dtau_da( | ||
350 |
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16 | "eval_dtau_da", casadi::SXVector{cs_q, cs_v, cs_a}, casadi::SXVector{dtau_da}); |
351 |
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10 | casadi::DM dtau_da_res = eval_dtau_da(casadi::DMVector{q_vec, v_vec, a_vec})[0]; |
352 |
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6 | Data::MatrixXs dtau_da_mat = Eigen::Map<Data::MatrixXs>( |
353 |
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6 | static_cast<std::vector<double>>(dtau_da_res).data(), model.nv, model.nv); |
354 |
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2 | BOOST_CHECK(data.M.isApprox(dtau_da_mat)); |
355 | 2 | } | |
356 | |||
357 |
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4 | BOOST_AUTO_TEST_CASE(test_aba) |
358 | { | ||
359 | typedef double Scalar; | ||
360 | typedef casadi::SX ADScalar; | ||
361 | |||
362 | typedef pinocchio::ModelTpl<Scalar> Model; | ||
363 | typedef Model::Data Data; | ||
364 | |||
365 | typedef pinocchio::ModelTpl<ADScalar> ADModel; | ||
366 | typedef ADModel::Data ADData; | ||
367 | |||
368 |
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2 | Model model; |
369 |
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2 | pinocchio::buildModels::humanoidRandom(model); |
370 |
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2 | model.lowerPositionLimit.head<3>().fill(-1.); |
371 |
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2 | model.upperPositionLimit.head<3>().fill(1.); |
372 |
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2 | Data data(model); |
373 | |||
374 | typedef Model::ConfigVectorType ConfigVector; | ||
375 | typedef Model::TangentVectorType TangentVector; | ||
376 |
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2 | ConfigVector q(model.nq); |
377 |
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2 | q = pinocchio::randomConfiguration(model); |
378 |
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2 | TangentVector v(TangentVector::Random(model.nv)); |
379 |
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2 | TangentVector tau(TangentVector::Random(model.nv)); |
380 | |||
381 | typedef ADModel::ConfigVectorType ConfigVectorAD; | ||
382 | typedef ADModel::TangentVectorType TangentVectorAD; | ||
383 |
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2 | ADModel ad_model = model.cast<ADScalar>(); |
384 |
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2 | ADData ad_data(ad_model); |
385 | |||
386 |
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2 | pinocchio::aba(model, data, q, v, tau, pinocchio::Convention::WORLD); |
387 | |||
388 |
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4 | casadi::SX cs_q = casadi::SX::sym("q", model.nq); |
389 |
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2 | ConfigVectorAD q_ad(model.nq); |
390 |
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2 | q_ad = Eigen::Map<ConfigVectorAD>(static_cast<std::vector<ADScalar>>(cs_q).data(), model.nq, 1); |
391 | |||
392 |
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4 | casadi::SX cs_v = casadi::SX::sym("v", model.nv); |
393 |
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2 | TangentVectorAD v_ad(model.nv); |
394 |
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2 | v_ad = Eigen::Map<TangentVectorAD>(static_cast<std::vector<ADScalar>>(cs_v).data(), model.nv, 1); |
395 | |||
396 |
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4 | casadi::SX cs_tau = casadi::SX::sym("tau", model.nv); |
397 |
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2 | TangentVectorAD tau_ad(model.nv); |
398 | tau_ad = | ||
399 |
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2 | Eigen::Map<TangentVectorAD>(static_cast<std::vector<ADScalar>>(cs_tau).data(), model.nv, 1); |
400 | |||
401 | // ABA | ||
402 |
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2 | pinocchio::aba(ad_model, ad_data, q_ad, v_ad, tau_ad, pinocchio::Convention::WORLD); |
403 |
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2 | casadi::SX cs_ddq(model.nv, 1); |
404 |
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66 | for (Eigen::DenseIndex k = 0; k < model.nv; ++k) |
405 |
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64 | cs_ddq(k) = ad_data.ddq[k]; |
406 | casadi::Function eval_aba( | ||
407 |
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16 | "eval_aba", casadi::SXVector{cs_q, cs_v, cs_tau}, casadi::SXVector{cs_ddq}); |
408 | |||
409 |
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2 | std::vector<double> q_vec((size_t)model.nq); |
410 |
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2 | Eigen::Map<ConfigVector>(q_vec.data(), model.nq, 1) = q; |
411 | |||
412 |
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2 | std::vector<double> v_vec((size_t)model.nv); |
413 |
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2 | Eigen::Map<TangentVector>(v_vec.data(), model.nv, 1) = v; |
414 | |||
415 |
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2 | std::vector<double> tau_vec((size_t)model.nv); |
416 |
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2 | Eigen::Map<TangentVector>(tau_vec.data(), model.nv, 1) = tau; |
417 | |||
418 |
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10 | casadi::DM ddq_res = eval_aba(casadi::DMVector{q_vec, v_vec, tau_vec})[0]; |
419 |
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6 | Data::TangentVectorType ddq_mat = Eigen::Map<Data::TangentVectorType>( |
420 |
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6 | static_cast<std::vector<double>>(ddq_res).data(), model.nv, 1); |
421 | |||
422 |
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2 | BOOST_CHECK(ddq_mat.isApprox(data.ddq)); |
423 | 2 | } | |
424 | |||
425 | 2 | void test_interp_for_model(const pinocchio::ModelTpl<double> & model) | |
426 | { | ||
427 | using casadi::DMVector; | ||
428 | using casadi::SX; | ||
429 | using casadi::SXVector; | ||
430 | typedef SX ADScalar; | ||
431 | typedef pinocchio::ModelTpl<double> Model; | ||
432 | typedef pinocchio::ModelTpl<ADScalar> ADModel; | ||
433 |
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2 | std::cout << model; |
434 | |||
435 |
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2 | ADModel ad_model = model.cast<ADScalar>(); |
436 | 2 | int nq = model.nq; | |
437 | 2 | int nv = model.nv; | |
438 | |||
439 |
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4 | SX cs_q0 = SX::sym("q0", nq); |
440 |
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4 | SX cs_q1 = SX::sym("q1", nq); |
441 |
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4 | SX cs_dq0 = SX::sym("dq0", nv); |
442 |
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4 | SX cs_dq1 = SX::sym("dq0", nv); |
443 |
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2 | SX zero_vec(SX::zeros(2 * nv)); |
444 | |||
445 | typedef ADModel::ConfigVectorType cConfig_t; | ||
446 | typedef ADModel::TangentVectorType cTangent_t; | ||
447 | |||
448 |
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2 | cConfig_t cq0(nq), cq1(nq); |
449 |
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2 | cTangent_t cdq0(nv), cdq1(nv); |
450 |
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2 | pinocchio::casadi::copy(cs_q0, cq0); |
451 |
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2 | pinocchio::casadi::copy(cs_q1, cq1); |
452 |
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2 | pinocchio::casadi::copy(cs_dq0, cdq0); |
453 |
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2 | pinocchio::casadi::copy(cs_dq1, cdq1); |
454 |
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2 | ADScalar cs_dqall = vertcat(cs_dq0, cs_dq1); |
455 | |||
456 |
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2 | auto cq0_i = pinocchio::integrate(ad_model, cq0, cdq0); |
457 |
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2 | auto cq1_i = pinocchio::integrate(ad_model, cq1, cdq1); |
458 | |||
459 |
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2 | ADScalar alpha(0.5); |
460 | |||
461 |
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2 | cConfig_t qinterp = pinocchio::interpolate(ad_model, cq0_i, cq1_i, alpha); |
462 |
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2 | cConfig_t qneutral = pinocchio::neutral(ad_model); |
463 |
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2 | cTangent_t log_interp = pinocchio::difference(ad_model, qinterp, qneutral); |
464 | |||
465 |
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2 | auto norm_interp = log_interp.dot(log_interp); |
466 |
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2 | auto Jnorm_interp = jacobian(norm_interp, cs_dqall); |
467 | |||
468 | casadi::Function Jnorm_eval( | ||
469 |
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14 | "Jnorm", SXVector{cs_q0, cs_q1}, SXVector{substitute(Jnorm_interp, cs_dqall, zero_vec)}); |
470 |
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2 | std::cout << Jnorm_eval << '\n'; |
471 | |||
472 |
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2 | const auto q0 = pinocchio::neutral(model); |
473 |
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2 | const auto q1 = pinocchio::randomConfiguration(model); |
474 |
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2 | const auto q2 = pinocchio::randomConfiguration(model); |
475 | |||
476 | typedef Eigen::Map<Model::ConfigVectorType> ConfigMap_t; | ||
477 |
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2 | std::vector<double> q0_vec((size_t)nq); |
478 |
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2 | std::vector<double> q1_vec((size_t)nq); |
479 |
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2 | std::vector<double> q2_vec((size_t)nq); |
480 |
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2 | ConfigMap_t(q0_vec.data(), nq, 1) = q0; |
481 |
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2 | ConfigMap_t(q1_vec.data(), nq, 1) = q1; |
482 |
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2 | ConfigMap_t(q2_vec.data(), nq, 1) = q2; |
483 | |||
484 |
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6 | std::cout << Jnorm_eval(DMVector{q0_vec, q0_vec})[0] << '\n'; |
485 |
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6 | std::cout << Jnorm_eval(DMVector{q0_vec, q1_vec})[0] << '\n'; |
486 |
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6 | std::cout << Jnorm_eval(DMVector{q1_vec, q1_vec})[0] << '\n'; |
487 |
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6 | std::cout << Jnorm_eval(DMVector{q2_vec, q2_vec})[0] << '\n'; |
488 | 2 | } | |
489 | |||
490 |
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4 | BOOST_AUTO_TEST_CASE(test_interp) |
491 | { | ||
492 | typedef pinocchio::ModelTpl<double> Model; | ||
493 |
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2 | Model model; |
494 |
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2 | pinocchio::buildModels::humanoidRandom(model, true); |
495 |
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2 | model.lowerPositionLimit.head<3>().fill(-1.); |
496 |
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2 | model.upperPositionLimit.head<3>().fill(1.); |
497 | |||
498 |
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2 | test_interp_for_model(model); |
499 | |||
500 |
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2 | Model model2; |
501 | typedef pinocchio::SE3Tpl<double> SE3; | ||
502 |
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2 | size_t baseId = model2.addJoint(0, pinocchio::JointModelSpherical(), SE3::Identity(), "base"); |
503 |
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2 | model2.addJoint(baseId, pinocchio::JointModelRX(), SE3::Random(), "pole"); |
504 |
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2 | model2.lowerPositionLimit.tail<1>().fill(-4.); |
505 |
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2 | model2.upperPositionLimit.tail<1>().fill(4.); |
506 | |||
507 |
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2 | test_interp_for_model(model2); |
508 | 2 | } | |
509 | |||
510 |
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4 | BOOST_AUTO_TEST_CASE(test_kinetic_energy) |
511 | { | ||
512 | using casadi::DMVector; | ||
513 | using casadi::SX; | ||
514 | using casadi::SXVector; | ||
515 | typedef SX ADScalar; | ||
516 | typedef pinocchio::ModelTpl<double> Model; | ||
517 | typedef pinocchio::ModelTpl<ADScalar> ADModel; | ||
518 | typedef ADModel::Data ADData; | ||
519 | |||
520 |
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2 | Model model; |
521 | // pinocchio::buildModels::humanoidRandom(model, true); | ||
522 |
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2 | model.addJoint(0, pinocchio::JointModelSpherical(), pinocchio::SE3::Identity(), "base"); |
523 |
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2 | model.appendBodyToJoint(1, pinocchio::Inertia::Identity()); |
524 |
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2 | std::cout << model; |
525 |
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2 | model.lowerPositionLimit.head<3>().fill(-1.); |
526 |
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2 | model.upperPositionLimit.head<3>().fill(1.); |
527 | |||
528 |
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2 | ADModel ad_model = model.cast<ADScalar>(); |
529 |
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2 | ADData ad_data(ad_model); |
530 | 2 | int nq = model.nq; | |
531 | 2 | int nv = model.nv; | |
532 | |||
533 |
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4 | SX cs_q0 = SX::sym("q0", nq); |
534 |
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4 | SX cs_q1 = SX::sym("q1", nq); |
535 |
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4 | SX cs_dq0 = SX::sym("dq0", nv); |
536 |
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4 | SX cs_dq1 = SX::sym("dq0", nv); |
537 |
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2 | SX zero_vec(SX::zeros(2 * nv)); |
538 | |||
539 | typedef ADModel::ConfigVectorType cConfig_t; | ||
540 | typedef ADModel::TangentVectorType cTangent_t; | ||
541 | |||
542 |
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2 | cConfig_t cq0(nq), cq1(nq); |
543 |
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2 | cTangent_t cdq0(nv), cdq1(nv); |
544 |
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2 | pinocchio::casadi::copy(cs_q0, cq0); |
545 |
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2 | pinocchio::casadi::copy(cs_q1, cq1); |
546 |
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2 | pinocchio::casadi::copy(cs_dq0, cdq0); |
547 |
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2 | pinocchio::casadi::copy(cs_dq1, cdq1); |
548 |
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2 | ADScalar cs_dqall = vertcat(cs_dq0, cs_dq1); |
549 | |||
550 |
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2 | cConfig_t cq0_i = pinocchio::integrate(ad_model, cq0, cdq0); |
551 |
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2 | cConfig_t cq1_i = pinocchio::integrate(ad_model, cq1, cdq1); |
552 | |||
553 | 2 | const double dt(0.05); | |
554 | |||
555 |
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4 | cTangent_t cv = pinocchio::difference(ad_model, cq0_i, cq1_i) / dt; |
556 |
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2 | pinocchio::computeKineticEnergy(ad_model, ad_data, cq0_i, cv); |
557 |
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2 | const auto KE_expr = ad_data.kinetic_energy; |
558 |
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2 | const auto gKE_expr = jacobian(KE_expr, cs_dqall); |
559 |
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2 | const auto HKE_expr = jacobian(gKE_expr, cs_dqall); |
560 | |||
561 | casadi::Function KE_eval( | ||
562 |
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14 | "KE", SXVector{cs_q0, cs_q1}, SXVector{substitute(KE_expr, cs_dqall, zero_vec)}); |
563 | casadi::Function gKE_eval( | ||
564 |
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14 | "gKE", SXVector{cs_q0, cs_q1}, SXVector{substitute(gKE_expr, cs_dqall, zero_vec)}); |
565 | casadi::Function HKE_eval( | ||
566 |
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14 | "HKE", SXVector{cs_q0, cs_q1}, SXVector{substitute(HKE_expr, cs_dqall, zero_vec)}); |
567 |
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2 | std::cout << HKE_eval << std::endl; |
568 | |||
569 |
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2 | auto q0 = pinocchio::neutral(model); |
570 |
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2 | auto q1 = pinocchio::randomConfiguration(model); |
571 |
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2 | auto q2 = pinocchio::randomConfiguration(model); |
572 |
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2 | casadi::DM q0d(nq); |
573 |
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2 | pinocchio::casadi::copy(q0, q0d); |
574 |
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2 | casadi::DM q1d(nq); |
575 |
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2 | pinocchio::casadi::copy(q1, q1d); |
576 |
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2 | casadi::DM q2d(nq); |
577 |
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2 | pinocchio::casadi::copy(q2, q2d); |
578 | |||
579 | const static double eps = 1e-8; | ||
580 | |||
581 | auto fd_grad_lambda = | ||
582 | 56 | [&model, &KE_eval](const Model::ConfigVectorType q0_, const Model::ConfigVectorType & q1_) { | |
583 | 4 | auto nv = model.nv; | |
584 | // finite differencing | ||
585 |
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4 | Model::TangentVectorType dq0(nv), dq1(nv); |
586 |
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4 | dq0.setZero(); |
587 |
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4 | dq1.setZero(); |
588 |
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4 | Eigen::VectorXd jac_fd(2 * nv); |
589 | |||
590 |
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16 | const casadi::DM dm = KE_eval(DMVector{eigenToDM(q0_), eigenToDM(q1_)})[0]; |
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16 | for (int i = 0; i < nv; i++) |
592 | { | ||
593 |
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12 | dq0[i] = eps; |
594 |
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12 | dq1[i] = eps; |
595 | |||
596 |
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12 | Model::ConfigVectorType q0_i = pinocchio::integrate(model, q0_, dq0); |
597 | // std::cout << "\nq0_i: " << q0_i.transpose() << std::endl; | ||
598 |
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48 | casadi::DM dp1 = KE_eval(DMVector{eigenToDM(q0_i), eigenToDM(q1_)})[0]; |
599 | // std::cout << "dp1: " << dp1 << std::endl; | ||
600 |
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24 | casadi::DM diff1 = (dp1 - dm) / eps; |
601 | |||
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12 | Model::ConfigVectorType q1_i = pinocchio::integrate(model, q1_, dq1); |
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48 | casadi::DM dp2 = KE_eval(DMVector{eigenToDM(q0_), eigenToDM(q1_i)})[0]; |
604 | // std::cout << "dp2: " << dp2 << std::endl; | ||
605 |
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24 | casadi::DM diff2 = (dp2 - dm) / eps; |
606 | |||
607 |
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12 | jac_fd[i] = static_cast<double>(diff1); |
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12 | jac_fd[i + nv] = static_cast<double>(diff2); |
609 | |||
610 |
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12 | dq0[i] = 0.; |
611 |
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12 | dq1[i] = 0.; |
612 | } | ||
613 | 8 | return jac_fd; | |
614 | 6 | }; | |
615 | |||
616 |
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6 | std::cout << "eval: {q0d,q0d}: " << KE_eval(DMVector{q0d, q0d}) << std::endl; |
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6 | std::cout << "grad: {q0d,q0d}: " << gKE_eval(DMVector{q0d, q0d}) << std::endl; |
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2 | std::cout << "FD grad: {q0d,q0d}:" << fd_grad_lambda(q0, q0).transpose() << std::endl; |
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2 | std::cout << "---" << std::endl; |
620 | |||
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6 | std::cout << "eval: {q1d,q1d}: " << KE_eval(DMVector{q1d, q1d}) << std::endl; |
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6 | std::cout << "grad: {q1d,q1d}: " << gKE_eval(DMVector{q1d, q1d}) << std::endl; |
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2 | std::cout << "FD grad: {q1d,q1d}:" << fd_grad_lambda(q1, q1).transpose() << std::endl; |
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2 | std::cout << "---" << std::endl; |
625 | |||
626 |
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6 | std::cout << "eval: {q1d,q2d}: " << KE_eval(DMVector{q1d, q2d}) << std::endl; |
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6 | std::cout << "grad: {q1d,q2d}: " << gKE_eval(DMVector{q1d, q2d}) << std::endl; |
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2 | std::cout << "FD grad: {q1d,q2d}:" << fd_grad_lambda(q1, q2).transpose() << std::endl; |
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2 | std::cout << "---" << std::endl; |
630 | |||
631 |
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6 | std::cout << "eval: {q2d,q2d}: " << KE_eval(DMVector{q2d, q2d}) << std::endl; |
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6 | std::cout << "grad: {q2d,q2d}: " << gKE_eval(DMVector{q2d, q2d}) << std::endl; |
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2 | std::cout << "FD grad: {q2d,q2d}:" << fd_grad_lambda(q2, q2).transpose() << std::endl; |
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2 | std::cout << "---" << std::endl; |
635 |
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2 | std::cout << '\n'; |
636 | |||
637 | auto fd_hess_ambda = | ||
638 | 64 | [&model, &gKE_eval](const Model::ConfigVectorType & q0_, const Model::ConfigVectorType & q1_) { | |
639 | 4 | auto nv = model.nv; | |
640 | // finite differencing | ||
641 |
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4 | Model::TangentVectorType dq0(nv), dq1(nv); |
642 |
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4 | dq0.setZero(); |
643 |
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4 | dq1.setZero(); |
644 |
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4 | Eigen::MatrixXd jac_fd(2 * nv, 2 * nv); |
645 |
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16 | for (int i = 0; i < nv; i++) |
646 | { | ||
647 |
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12 | dq0(i, 0) = eps; |
648 |
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12 | dq1(i, 0) = eps; |
649 | |||
650 |
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12 | Model::ConfigVectorType q0_i = pinocchio::integrate(model, q0_, dq0); |
651 |
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48 | auto dp = gKE_eval(DMVector{eigenToDM(q0_i), eigenToDM(q1_)}); |
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48 | auto dm = gKE_eval(DMVector{eigenToDM(q0_), eigenToDM(q1_)}); |
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24 | auto diff1 = (dp[0] - dm[0]) / eps; |
654 | |||
655 |
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12 | Model::ConfigVectorType q1_i = pinocchio::integrate(model, q1_, dq1); |
656 |
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36 | dp = gKE_eval(DMVector{eigenToDM(q0_), eigenToDM(q1_i)}); |
657 |
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24 | auto diff2 = (dp[0] - dm[0]) / eps; |
658 | |||
659 |
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84 | for (int j = 0; j < jac_fd.rows(); j++) |
660 | { | ||
661 |
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72 | jac_fd(j, i) = static_cast<double>(diff1(j)); |
662 |
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72 | jac_fd(j, i + nv) = static_cast<double>(diff2(j)); |
663 | } | ||
664 | |||
665 |
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12 | dq0(i, 0) = 0.; |
666 |
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12 | dq1(i, 0) = 0.; |
667 | } | ||
668 | 8 | return jac_fd; | |
669 | 6 | }; | |
670 | |||
671 |
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6 | std::cout << HKE_eval(DMVector{q0d, q0d})[0] << '\n'; |
672 |
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2 | auto jac_fd = fd_hess_ambda(q0, q0); |
673 |
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2 | std::cout << jac_fd << '\n'; |
674 | |||
675 |
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6 | std::cout << HKE_eval(DMVector{q1d, q2d})[0] << '\n'; |
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2 | jac_fd = fd_hess_ambda(q1, q2); |
677 |
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2 | std::cout << jac_fd << '\n'; |
678 | |||
679 |
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6 | std::cout << HKE_eval(DMVector{q0d, q2d})[0] << '\n'; |
680 |
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2 | jac_fd = fd_hess_ambda(q0, q2); |
681 |
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2 | std::cout << jac_fd << '\n'; |
682 | |||
683 |
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6 | std::cout << HKE_eval(DMVector{q2d, q2d})[0] << '\n'; |
684 |
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2 | jac_fd = fd_hess_ambda(q2, q2); |
685 |
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2 | std::cout << jac_fd << '\n'; |
686 | 2 | } | |
687 | |||
688 | BOOST_AUTO_TEST_SUITE_END() | ||
689 |