Directory: | ./ |
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File: | unittest/casadi/explog.cpp |
Date: | 2025-02-12 21:03:38 |
Exec | Total | Coverage | |
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Lines: | 106 | 106 | 100.0% |
Branches: | 313 | 624 | 50.2% |
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1 | // | ||
2 | // Copyright (c) 2021 INRIA | ||
3 | // | ||
4 | |||
5 | #include "pinocchio/autodiff/casadi.hpp" | ||
6 | #include "pinocchio/autodiff/casadi-algo.hpp" | ||
7 | |||
8 | #include "pinocchio/algorithm/joint-configuration.hpp" | ||
9 | |||
10 | #include "pinocchio/multibody/sample-models.hpp" | ||
11 | |||
12 | #include <casadi/casadi.hpp> | ||
13 | |||
14 | #include <iostream> | ||
15 | #include <boost/test/unit_test.hpp> | ||
16 | #include <boost/utility/binary.hpp> | ||
17 | |||
18 | BOOST_AUTO_TEST_SUITE(BOOST_TEST_MODULE) | ||
19 | |||
20 |
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4 | BOOST_AUTO_TEST_CASE(test_squaredDistance) |
21 | { | ||
22 | typedef double Scalar; | ||
23 | typedef casadi::SX ADScalar; | ||
24 | typedef pinocchio::ModelTpl<Scalar> Model; | ||
25 | typedef pinocchio::ModelTpl<ADScalar> ADModel; | ||
26 | using casadi::SXVector; | ||
27 | |||
28 |
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2 | Model model; |
29 |
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2 | pinocchio::buildModels::humanoidRandom(model, true); |
30 |
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2 | model.lowerPositionLimit.head<3>().fill(-1.); |
31 |
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2 | model.upperPositionLimit.head<3>().fill(1.); |
32 | |||
33 | typedef Model::ConfigVectorType ConfigVector; | ||
34 | typedef Eigen::Map<ConfigVector> ConfigVectorMap; | ||
35 | |||
36 |
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2 | ConfigVector q0(pinocchio::neutral(model)); |
37 |
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2 | ConfigVector q1(pinocchio::randomConfiguration(model)); |
38 |
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2 | ConfigVector q2(pinocchio::randomConfiguration(model)); |
39 | |||
40 |
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2 | ADModel ad_model = model.cast<ADScalar>(); |
41 | typedef ADModel::ConfigVectorType cConfig_t; | ||
42 | typedef ADModel::TangentVectorType cTangent_t; | ||
43 | |||
44 |
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4 | casadi::SX cs_q0 = casadi::SX::sym("q0", model.nq, 1); |
45 |
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4 | casadi::SX cs_q1 = casadi::SX::sym("q1", model.nq, 1); |
46 |
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4 | casadi::SX cv0 = casadi::SX::sym("v0", model.nv, 1); |
47 |
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4 | casadi::SX cv1 = casadi::SX::sym("v1", model.nv, 1); |
48 |
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2 | casadi::SX v_all = vertcat(cv0, cv1); |
49 |
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2 | cConfig_t q0_ad(model.nq), q1_ad(model.nq); |
50 |
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2 | cTangent_t v0_ad(model.nq), v1_ad(model.nv); |
51 | |||
52 |
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2 | q0_ad = Eigen::Map<cConfig_t>(static_cast<SXVector>(cs_q0).data(), model.nq, 1); |
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2 | q1_ad = Eigen::Map<cConfig_t>(static_cast<SXVector>(cs_q1).data(), model.nq, 1); |
54 |
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2 | v0_ad = Eigen::Map<cTangent_t>(static_cast<SXVector>(cv0).data(), model.nv, 1); |
55 |
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2 | v1_ad = Eigen::Map<cTangent_t>(static_cast<SXVector>(cv1).data(), model.nv, 1); |
56 | |||
57 |
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2 | auto cq0_i = pinocchio::integrate(ad_model, q0_ad, v0_ad); |
58 |
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2 | auto cq1_i = pinocchio::integrate(ad_model, q1_ad, v1_ad); |
59 | |||
60 |
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2 | cTangent_t d = pinocchio::difference(ad_model, cq0_i, cq1_i); |
61 |
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2 | casadi::SX d_vec(model.nv); |
62 |
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2 | pinocchio::casadi::copy(d, d_vec); |
63 |
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2 | ADScalar dist_expr = d.dot(d); |
64 | |||
65 | 2 | size_t nq = (size_t)model.nq; | |
66 | |||
67 |
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2 | casadi::SX zero_vec = casadi::SX::zeros(2 * model.nv); |
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4 | casadi::SX Jdist_expr = substitute(gradient(dist_expr, v_all), v_all, zero_vec); |
69 |
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14 | casadi::Function eval_Jdist("Jdistance", SXVector{cs_q0, cs_q1}, SXVector{Jdist_expr}); |
70 | |||
71 |
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2 | std::cout << "Jdistance func: " << eval_Jdist << '\n'; |
72 | |||
73 |
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2 | std::vector<Scalar> q0_vec(nq); |
74 |
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2 | ConfigVectorMap(q0_vec.data(), model.nq, 1) = q0; |
75 |
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2 | std::vector<Scalar> q1_vec(nq); |
76 |
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2 | ConfigVectorMap(q1_vec.data(), model.nq, 1) = q1; |
77 |
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2 | std::vector<Scalar> q2_vec(nq); |
78 |
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2 | ConfigVectorMap(q2_vec.data(), model.nq, 1) = q2; |
79 | |||
80 |
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8 | auto J0 = eval_Jdist(casadi::DMVector{q0_vec, q0_vec})[0]; |
81 |
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8 | auto J1 = eval_Jdist(casadi::DMVector{q0_vec, q1_vec})[0]; |
82 |
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8 | auto J2 = eval_Jdist(casadi::DMVector{q0_vec, q2_vec})[0]; |
83 | |||
84 |
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2 | ConfigVector q(model.nq); |
85 |
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2 | std::vector<Scalar> q_vec(nq); |
86 |
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22 | for (size_t it = 0; it < 10; it++) |
87 | { | ||
88 |
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20 | q.noalias() = pinocchio::randomConfiguration(model); |
89 |
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20 | ConfigVectorMap(q_vec.data(), model.nq, 1) = q; |
90 |
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80 | auto J_vec = static_cast<std::vector<Scalar>>(eval_Jdist(casadi::DMVector{q_vec, q_vec})[0]); |
91 |
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20 | Eigen::Map<Eigen::MatrixXd> J_as_mat(J_vec.data(), 2 * model.nv, 1); |
92 |
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20 | BOOST_CHECK(J_as_mat.isApprox(Eigen::MatrixXd::Zero(2 * model.nv, 1))); |
93 | 20 | } | |
94 | 2 | } | |
95 | |||
96 | template<typename Derived> | ||
97 | 4 | casadi::DM SE3toCasadiDM(const pinocchio::SE3Base<Derived> & M) | |
98 | { | ||
99 | typedef typename Derived::Scalar Scalar; | ||
100 |
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4 | auto M_mat = M.toHomogeneousMatrix(); |
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4 | std::vector<Scalar> flat_M_vec(M_mat.data(), M_mat.data() + M_mat.size()); |
102 |
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4 | casadi::DM out{flat_M_vec}; |
103 |
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8 | return reshape(out, 4, 4); |
104 | 4 | } | |
105 | |||
106 |
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4 | BOOST_AUTO_TEST_CASE(test_Jlog6) |
107 | { | ||
108 | namespace pin = pinocchio; | ||
109 | using casadi::DMVector; | ||
110 | using casadi::SXVector; | ||
111 | using casadi::SXVectorVector; | ||
112 | typedef pin::SE3Tpl<double> SE3; | ||
113 | typedef casadi::SX ADScalar; | ||
114 | typedef pin::SE3Tpl<ADScalar> cSE3; | ||
115 | typedef pin::MotionTpl<ADScalar> cMotion; | ||
116 | |||
117 |
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4 | casadi::SX csM0 = casadi::SX::sym("cM0", 4, 4); |
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4 | casadi::SX csM1 = casadi::SX::sym("cM1", 4, 4); |
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4 | casadi::SX csm0 = casadi::SX::sym("cm0", 6); |
120 |
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4 | casadi::SX csm1 = casadi::SX::sym("cm1", 6); |
121 |
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2 | casadi::SX csm_all = vertcat(csm0, csm1); |
122 | |||
123 |
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2 | cMotion::Vector6 cm0_v, cm1_v; |
124 | |||
125 |
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2 | cSE3 cM0_i, cM1_i; |
126 | { | ||
127 | |||
128 |
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2 | cm0_v = Eigen::Map<cMotion::Vector6>(static_cast<SXVector>(csm0).data(), 6, 1); |
129 |
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2 | cm1_v = Eigen::Map<cMotion::Vector6>(static_cast<SXVector>(csm1).data(), 6, 1); |
130 | |||
131 |
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2 | cSE3::Matrix4 cM0_mat, cM1_mat; |
132 |
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2 | cM0_mat = Eigen::Map<cSE3::Matrix4>(&static_cast<SXVector>(csM0)[0], 4, 4); |
133 |
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2 | cM1_mat = Eigen::Map<cSE3::Matrix4>(&static_cast<SXVector>(csM1)[0], 4, 4); |
134 | |||
135 |
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2 | auto rot0 = cM0_mat.template block<3, 3>(0, 0); |
136 |
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2 | auto rot1 = cM1_mat.template block<3, 3>(0, 0); |
137 |
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2 | auto trans0 = cM0_mat.template block<3, 1>(0, 3); |
138 | |||
139 |
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2 | cSE3 cM0(rot0, trans0); |
140 |
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2 | cSE3 cM1(rot1, cM1_mat.template block<3, 1>(0, 3)); |
141 | |||
142 |
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2 | cM0_i = cM0 * pin::exp6(cm0_v); |
143 |
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2 | cM1_i = cM1 * pin::exp6(cm1_v); |
144 | 2 | } | |
145 | |||
146 |
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4 | auto cdM(pin::log6(cM0_i.actInv(cM1_i)).toVector()); |
147 |
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2 | casadi::SX cdM_s(6); |
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2 | pinocchio::casadi::copy(cdM, cdM_s); |
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2 | casadi::SX zeros = casadi::SX::zeros(12); |
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2 | auto dist = cdM.squaredNorm(); |
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2 | auto grad_cdM_expr = gradient(dist, csm_all); |
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2 | auto hess_cdM_expr = jacobian(grad_cdM_expr, csm_all); |
154 | |||
155 | casadi::Function grad_cdM_eval( | ||
156 |
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14 | "gdM", SXVector{csM0, csM1}, SXVector{substitute(grad_cdM_expr, csm_all, zeros)}); |
157 | casadi::Function hess_cdM_eval( | ||
158 |
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14 | "gdM", SXVector{csM0, csM1}, SXVector{substitute(hess_cdM_expr, csm_all, zeros)}); |
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2 | std::cout << "dM_eval: " << grad_cdM_eval << '\n'; |
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2 | SE3 M_neutral(SE3::Identity()); |
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2 | SE3 M0(SE3::Random()), M1(SE3::Random()); |
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2 | casadi::DM M_n_dm = SE3toCasadiDM(M_neutral); |
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2 | casadi::DM M0_dm = SE3toCasadiDM(M0); |
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2 | casadi::DM M1_dm = SE3toCasadiDM(M1); |
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2 | casadi::DM M2_dm = SE3toCasadiDM(M1.actInv(M1)); |
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2 | std::cout << M0_dm << "\n\n"; |
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2 | std::cout << M2_dm << '\n'; |
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8 | auto J0 = grad_cdM_eval(DMVector{M0_dm, M1_dm})[0]; |
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2 | std::cout << J0 << '\n'; |
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8 | auto J1 = grad_cdM_eval(DMVector{M0_dm, M2_dm})[0]; |
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2 | std::cout << J1 << '\n'; |
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8 | auto J2 = grad_cdM_eval(DMVector{M2_dm, M2_dm})[0]; |
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2 | std::cout << J2 << '\n'; |
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6 | std::cout << hess_cdM_eval(DMVector{M_n_dm, M_n_dm})[0]; |
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6 | std::cout << hess_cdM_eval(DMVector{M0_dm, M0_dm})[0]; |
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6 | std::cout << hess_cdM_eval(DMVector{M0_dm, M1_dm})[0]; |
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6 | std::cout << hess_cdM_eval(DMVector{M2_dm, M2_dm})[0]; |
185 | 2 | } | |
186 | |||
187 | BOOST_AUTO_TEST_SUITE_END() | ||
188 |