| Directory: | ./ |
|---|---|
| File: | unittest/contact-cholesky.cpp |
| Date: | 2025-02-12 21:03:38 |
| Exec | Total | Coverage | |
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| Lines: | 956 | 956 | 100.0% |
| Branches: | 2901 | 5788 | 50.1% |
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| 1 | // | ||
| 2 | // Copyright (c) 2019-2022 INRIA | ||
| 3 | // | ||
| 4 | |||
| 5 | #include <iostream> | ||
| 6 | |||
| 7 | #include "pinocchio/algorithm/jacobian.hpp" | ||
| 8 | #include "pinocchio/algorithm/cholesky.hpp" | ||
| 9 | #include "pinocchio/algorithm/contact-info.hpp" | ||
| 10 | #include "pinocchio/algorithm/crba.hpp" | ||
| 11 | #include "pinocchio/algorithm/contact-cholesky.hxx" | ||
| 12 | #include "pinocchio/algorithm/joint-configuration.hpp" | ||
| 13 | #include "pinocchio/multibody/sample-models.hpp" | ||
| 14 | |||
| 15 | #include <boost/test/unit_test.hpp> | ||
| 16 | #include <boost/utility/binary.hpp> | ||
| 17 | |||
| 18 | namespace pinocchio | ||
| 19 | { | ||
| 20 | namespace cholesky | ||
| 21 | { | ||
| 22 | template<typename Scalar, int Options> | ||
| 23 | struct ContactCholeskyDecompositionAccessorTpl | ||
| 24 | : public ContactCholeskyDecompositionTpl<Scalar, Options> | ||
| 25 | { | ||
| 26 | typedef ContactCholeskyDecompositionTpl<Scalar, Options> Base; | ||
| 27 | typedef typename Base::IndexVector IndexVector; | ||
| 28 | typedef typename Base::BooleanVector BooleanVector; | ||
| 29 | |||
| 30 | 3 | ContactCholeskyDecompositionAccessorTpl(const Base & other) | |
| 31 | 3 | : Base(other) | |
| 32 | { | ||
| 33 | 3 | } | |
| 34 | |||
| 35 | 96 | const IndexVector & getParents_fromRow() const | |
| 36 | { | ||
| 37 | 96 | return this->parents_fromRow; | |
| 38 | } | ||
| 39 | 28 | const IndexVector & getLastChild() const | |
| 40 | { | ||
| 41 | 28 | return this->last_child; | |
| 42 | } | ||
| 43 | 32 | const IndexVector & getNvSubtree_fromRow() const | |
| 44 | { | ||
| 45 | 32 | return this->nv_subtree_fromRow; | |
| 46 | } | ||
| 47 | const std::vector<BooleanVector> & getJoint1_indexes() const | ||
| 48 | { | ||
| 49 | return this->joint1_indexes; | ||
| 50 | } | ||
| 51 | const std::vector<BooleanVector> & getJoint2_indexes() const | ||
| 52 | { | ||
| 53 | return this->joint2_indexes; | ||
| 54 | } | ||
| 55 | }; | ||
| 56 | |||
| 57 | typedef ContactCholeskyDecompositionAccessorTpl<double, 0> ContactCholeskyDecompositionAccessor; | ||
| 58 | } // namespace cholesky | ||
| 59 | } // namespace pinocchio | ||
| 60 | |||
| 61 | BOOST_AUTO_TEST_SUITE(BOOST_TEST_MODULE) | ||
| 62 | |||
| 63 |
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4 | BOOST_AUTO_TEST_CASE(contact_operator_equal) |
| 64 | { | ||
| 65 | |||
| 66 | using namespace Eigen; | ||
| 67 | using namespace pinocchio; | ||
| 68 | using namespace cholesky; | ||
| 69 | |||
| 70 |
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2 | pinocchio::Model humanoid_model; |
| 71 |
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2 | pinocchio::buildModels::humanoidRandom(humanoid_model); |
| 72 |
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2 | Data humanoid_data(humanoid_model); |
| 73 | |||
| 74 |
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2 | pinocchio::Model manipulator_model; |
| 75 |
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2 | pinocchio::buildModels::manipulator(manipulator_model); |
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2 | Data manipulator_data(manipulator_model); |
| 77 | |||
| 78 |
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2 | const PINOCCHIO_STD_VECTOR_WITH_EIGEN_ALLOCATOR(RigidConstraintModel) contact_models_empty; |
| 79 |
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2 | PINOCCHIO_STD_VECTOR_WITH_EIGEN_ALLOCATOR(RigidConstraintData) contact_datas_empty; |
| 80 | |||
| 81 |
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2 | humanoid_model.lowerPositionLimit.head<3>().fill(-1.); |
| 82 |
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2 | humanoid_model.upperPositionLimit.head<3>().fill(1.); |
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2 | VectorXd humanoid_q = randomConfiguration(humanoid_model); |
| 84 |
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2 | crba(humanoid_model, humanoid_data, humanoid_q, Convention::WORLD); |
| 85 | |||
| 86 |
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2 | VectorXd manipulator_q = randomConfiguration(manipulator_model); |
| 87 |
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2 | crba(manipulator_model, manipulator_data, manipulator_q, Convention::WORLD); |
| 88 | |||
| 89 |
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2 | ContactCholeskyDecomposition humanoid_chol(humanoid_model), manipulator_chol(manipulator_model); |
| 90 |
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2 | humanoid_chol.compute(humanoid_model, humanoid_data, contact_models_empty, contact_datas_empty); |
| 91 |
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2 | manipulator_chol.compute( |
| 92 | manipulator_model, manipulator_data, contact_models_empty, contact_datas_empty); | ||
| 93 | |||
| 94 |
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2 | BOOST_CHECK(humanoid_chol == humanoid_chol); |
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2 | BOOST_CHECK(humanoid_chol != manipulator_chol); |
| 96 | 2 | } | |
| 97 | |||
| 98 |
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|
4 | BOOST_AUTO_TEST_CASE(contact_cholesky_simple) |
| 99 | { | ||
| 100 | using namespace Eigen; | ||
| 101 | using namespace pinocchio; | ||
| 102 | using namespace pinocchio::cholesky; | ||
| 103 | |||
| 104 |
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2 | pinocchio::Model model; |
| 105 |
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2 | pinocchio::buildModels::humanoidRandom(model, true); |
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2 | pinocchio::Data data_ref(model); |
| 107 | |||
| 108 |
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2 | model.lowerPositionLimit.head<3>().fill(-1.); |
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2 | model.upperPositionLimit.head<3>().fill(1.); |
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2 | VectorXd q = randomConfiguration(model); |
| 111 |
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2 | crba(model, data_ref, q, Convention::WORLD); |
| 112 | |||
| 113 |
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2 | pinocchio::cholesky::decompose(model, data_ref); |
| 114 |
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2 | data_ref.M.triangularView<Eigen::StrictlyLower>() = |
| 115 |
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4 | data_ref.M.triangularView<Eigen::StrictlyUpper>().transpose(); |
| 116 | |||
| 117 |
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2 | ContactCholeskyDecomposition contact_chol_decomposition; |
| 118 |
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2 | const PINOCCHIO_STD_VECTOR_WITH_EIGEN_ALLOCATOR(RigidConstraintModel) contact_models_empty; |
| 119 |
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2 | PINOCCHIO_STD_VECTOR_WITH_EIGEN_ALLOCATOR(RigidConstraintData) contact_datas_empty; |
| 120 |
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2 | contact_chol_decomposition.allocate(model, contact_models_empty); |
| 121 | |||
| 122 |
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2 | BOOST_CHECK(contact_chol_decomposition.D.size() == model.nv); |
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2 | BOOST_CHECK(contact_chol_decomposition.Dinv.size() == model.nv); |
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2 | BOOST_CHECK(contact_chol_decomposition.U.rows() == model.nv); |
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2 | BOOST_CHECK(contact_chol_decomposition.U.cols() == model.nv); |
| 126 |
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2 | BOOST_CHECK(contact_chol_decomposition.size() == model.nv); |
| 127 |
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2 | BOOST_CHECK(contact_chol_decomposition.U.diagonal().isOnes()); |
| 128 | |||
| 129 |
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2 | Data data(model); |
| 130 |
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2 | crba(model, data, q, Convention::WORLD); |
| 131 |
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2 | data.M.triangularView<Eigen::StrictlyLower>() = |
| 132 |
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4 | data.M.triangularView<Eigen::StrictlyUpper>().transpose(); |
| 133 | |||
| 134 |
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2 | contact_chol_decomposition.compute(model, data, contact_models_empty, contact_datas_empty); |
| 135 | |||
| 136 |
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2 | data_ref.Minv = data_ref.M.inverse(); |
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2 | Eigen::MatrixXd Minv_test(Eigen::MatrixXd::Zero(model.nv, model.nv)); |
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2 | contact_chol_decomposition.getInverseMassMatrix(Minv_test); |
| 139 | |||
| 140 |
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2 | BOOST_CHECK(data.M.isApprox(data_ref.M)); |
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2 | BOOST_CHECK(Minv_test.isApprox(data_ref.Minv)); |
| 142 | |||
| 143 |
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2 | BOOST_CHECK(data_ref.D.isApprox(contact_chol_decomposition.D.tail(model.nv))); |
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2 | BOOST_CHECK(data_ref.Dinv.isApprox(contact_chol_decomposition.Dinv.tail(model.nv))); |
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2 | BOOST_CHECK( |
| 146 | data_ref.U.isApprox(contact_chol_decomposition.U.bottomRightCorner(model.nv, model.nv))); | ||
| 147 | |||
| 148 |
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2 | ContactCholeskyDecompositionAccessor access(contact_chol_decomposition); |
| 149 |
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66 | for (Eigen::DenseIndex k = 0; k < model.nv; ++k) |
| 150 | { | ||
| 151 |
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64 | BOOST_CHECK(access.getParents_fromRow()[k] == data.parents_fromRow[(size_t)k]); |
| 152 | } | ||
| 153 | |||
| 154 |
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58 | for (Eigen::DenseIndex k = 0; k < model.njoints; ++k) |
| 155 | { | ||
| 156 |
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56 | BOOST_CHECK(access.getLastChild()[k] == data.lastChild[(size_t)k]); |
| 157 | } | ||
| 158 | |||
| 159 |
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66 | for (Eigen::DenseIndex k = 0; k < model.nv; ++k) |
| 160 | { | ||
| 161 |
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64 | BOOST_CHECK(access.getNvSubtree_fromRow()[k] == data.nvSubtree_fromRow[(size_t)k]); |
| 162 | } | ||
| 163 | |||
| 164 | // Test basic operation | ||
| 165 |
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2 | VectorXd v_in(VectorXd::Random(model.nv)); |
| 166 |
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2 | MatrixXd mat_in(MatrixXd::Random(contact_chol_decomposition.size(), 20)); |
| 167 | |||
| 168 | // Test Uv | ||
| 169 |
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2 | VectorXd Uv_op_res(v_in), Uv_op_ref(v_in); |
| 170 | |||
| 171 |
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2 | contact_chol_decomposition.Uv(Uv_op_res); |
| 172 |
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2 | pinocchio::cholesky::Uv(model, data_ref, Uv_op_ref); |
| 173 | |||
| 174 |
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2 | BOOST_CHECK(Uv_op_res.isApprox(Uv_op_ref)); |
| 175 | |||
| 176 |
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2 | MatrixXd Uv_mat_op_res(mat_in), Uv_mat_op_ref(mat_in); |
| 177 | |||
| 178 |
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2 | contact_chol_decomposition.Uv(Uv_mat_op_res); |
| 179 |
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2 | pinocchio::cholesky::Uv(model, data_ref, Uv_mat_op_ref); |
| 180 | |||
| 181 |
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2 | BOOST_CHECK(Uv_mat_op_res.isApprox(Uv_mat_op_ref)); |
| 182 | |||
| 183 | // Test Utv | ||
| 184 |
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2 | VectorXd Utv_op_res(v_in), Utv_op_ref(v_in); |
| 185 | |||
| 186 |
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2 | contact_chol_decomposition.Utv(Utv_op_res); |
| 187 |
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2 | pinocchio::cholesky::Utv(model, data_ref, Utv_op_ref); |
| 188 | |||
| 189 |
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2 | BOOST_CHECK(Utv_op_res.isApprox(Utv_op_ref)); |
| 190 | |||
| 191 |
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2 | MatrixXd Utv_mat_op_res(mat_in), Utv_mat_op_ref(mat_in); |
| 192 | |||
| 193 |
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2 | contact_chol_decomposition.Utv(Utv_mat_op_res); |
| 194 |
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2 | pinocchio::cholesky::Utv(model, data_ref, Utv_mat_op_ref); |
| 195 | |||
| 196 |
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2 | BOOST_CHECK(Utv_mat_op_res.isApprox(Utv_mat_op_ref)); |
| 197 | |||
| 198 | // Test Uiv | ||
| 199 |
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2 | VectorXd Uiv_op_res(v_in), Uiv_op_ref(v_in); |
| 200 | |||
| 201 |
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2 | contact_chol_decomposition.Uiv(Uiv_op_res); |
| 202 |
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2 | pinocchio::cholesky::Uiv(model, data_ref, Uiv_op_ref); |
| 203 | |||
| 204 |
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2 | BOOST_CHECK(Uiv_op_res.isApprox(Uiv_op_ref)); |
| 205 | |||
| 206 |
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2 | MatrixXd Uiv_mat_op_res(mat_in), Uiv_mat_op_ref(mat_in); |
| 207 | |||
| 208 |
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2 | contact_chol_decomposition.Uiv(Uiv_mat_op_res); |
| 209 |
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2 | pinocchio::cholesky::Uiv(model, data_ref, Uiv_mat_op_ref); |
| 210 | |||
| 211 |
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2 | BOOST_CHECK(Uiv_mat_op_res.isApprox(Uiv_mat_op_ref)); |
| 212 | |||
| 213 | // Test Utiv | ||
| 214 |
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2 | VectorXd Utiv_op_res(v_in), Utiv_op_ref(v_in); |
| 215 | |||
| 216 |
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2 | contact_chol_decomposition.Utiv(Utiv_op_res); |
| 217 |
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2 | pinocchio::cholesky::Utiv(model, data_ref, Utiv_op_ref); |
| 218 | |||
| 219 |
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2 | BOOST_CHECK(Utiv_op_res.isApprox(Utiv_op_ref)); |
| 220 | |||
| 221 |
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2 | MatrixXd Utiv_mat_op_res(mat_in), Utiv_mat_op_ref(mat_in); |
| 222 | |||
| 223 |
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2 | contact_chol_decomposition.Utiv(Utiv_mat_op_res); |
| 224 |
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2 | pinocchio::cholesky::Utiv(model, data_ref, Utiv_mat_op_ref); |
| 225 | |||
| 226 |
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2 | BOOST_CHECK(Utiv_mat_op_res.isApprox(Utiv_mat_op_ref)); |
| 227 | |||
| 228 | // SolveInPlace | ||
| 229 |
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2 | VectorXd sol(v_in); |
| 230 |
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2 | contact_chol_decomposition.solveInPlace(sol); |
| 231 | |||
| 232 |
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2 | VectorXd sol_ref(data.M.inverse() * v_in); |
| 233 | |||
| 234 |
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2 | BOOST_CHECK(sol.isApprox(sol_ref)); |
| 235 | |||
| 236 |
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2 | MatrixXd sol_mat(mat_in); |
| 237 |
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2 | contact_chol_decomposition.solveInPlace(sol_mat); |
| 238 | |||
| 239 |
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2 | MatrixXd sol_mat_ref(data.M.inverse() * mat_in); |
| 240 | |||
| 241 |
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2 | BOOST_CHECK(sol_mat.isApprox(sol_mat_ref)); |
| 242 | |||
| 243 | // solve | ||
| 244 |
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2 | MatrixXd sol_copy_mat = contact_chol_decomposition.solve(mat_in); |
| 245 |
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2 | BOOST_CHECK(sol_copy_mat.isApprox(sol_mat)); |
| 246 | |||
| 247 | // inverse | ||
| 248 |
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2 | MatrixXd M_inv(model.nv, model.nv); |
| 249 |
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2 | contact_chol_decomposition.inverse(M_inv); |
| 250 | |||
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2 | MatrixXd M_inv_ref = data.M.inverse(); |
| 252 |
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2 | BOOST_CHECK(M_inv.isApprox(M_inv_ref)); |
| 253 | |||
| 254 | // test retrieve Mass Matrix Cholesky Decomposition | ||
| 255 | ContactCholeskyDecomposition mass_matrix_chol = | ||
| 256 |
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2 | contact_chol_decomposition.getMassMatrixChoeslkyDecomposition(model); |
| 257 | |||
| 258 | // test Operational Space Inertia Matrix | ||
| 259 |
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2 | MatrixXd iosim = contact_chol_decomposition.getInverseOperationalSpaceInertiaMatrix(); |
| 260 |
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2 | MatrixXd osim = contact_chol_decomposition.getOperationalSpaceInertiaMatrix(); |
| 261 |
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2 | BOOST_CHECK(iosim.size() == 0); |
| 262 |
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2 | BOOST_CHECK(osim.size() == 0); |
| 263 | |||
| 264 |
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2 | BOOST_CHECK(mass_matrix_chol == contact_chol_decomposition); |
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2 | BOOST_CHECK(mass_matrix_chol.U.isApprox(data_ref.U)); |
| 266 |
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2 | BOOST_CHECK(mass_matrix_chol.D.isApprox(data_ref.D)); |
| 267 |
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2 | BOOST_CHECK(mass_matrix_chol.Dinv.isApprox(data_ref.Dinv)); |
| 268 | 2 | } | |
| 269 | |||
| 270 |
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|
4 | BOOST_AUTO_TEST_CASE(contact_cholesky_contact6D_LOCAL) |
| 271 | { | ||
| 272 | using namespace Eigen; | ||
| 273 | using namespace pinocchio; | ||
| 274 | using namespace pinocchio::cholesky; | ||
| 275 | |||
| 276 |
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2 | pinocchio::Model model; |
| 277 |
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2 | pinocchio::buildModels::humanoidRandom(model, true); |
| 278 |
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2 | pinocchio::Data data_ref(model); |
| 279 | |||
| 280 |
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2 | model.lowerPositionLimit.head<3>().fill(-1.); |
| 281 |
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2 | model.upperPositionLimit.head<3>().fill(1.); |
| 282 |
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2 | VectorXd q = randomConfiguration(model); |
| 283 | |||
| 284 |
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2 | const std::string RF = "rleg6_joint"; |
| 285 |
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2 | const std::string LF = "lleg6_joint"; |
| 286 | |||
| 287 |
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2 | PINOCCHIO_STD_VECTOR_WITH_EIGEN_ALLOCATOR(RigidConstraintModel) contact_models; |
| 288 |
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2 | PINOCCHIO_STD_VECTOR_WITH_EIGEN_ALLOCATOR(RigidConstraintData) contact_datas; |
| 289 |
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2 | RigidConstraintModel ci_RF(CONTACT_6D, model, model.getJointId(RF), LOCAL); |
| 290 |
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2 | contact_models.push_back(ci_RF); |
| 291 |
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2 | contact_datas.push_back(RigidConstraintData(ci_RF)); |
| 292 |
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2 | RigidConstraintModel ci_LF(CONTACT_6D, model, model.getJointId(LF), LOCAL); |
| 293 |
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2 | contact_models.push_back(ci_LF); |
| 294 |
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2 | contact_datas.push_back(RigidConstraintData(ci_LF)); |
| 295 | |||
| 296 | // Compute Mass Matrix | ||
| 297 |
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2 | crba(model, data_ref, q, Convention::WORLD); |
| 298 |
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2 | data_ref.M.triangularView<Eigen::StrictlyLower>() = |
| 299 |
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4 | data_ref.M.triangularView<Eigen::StrictlyUpper>().transpose(); |
| 300 | |||
| 301 | // Compute Cholesky decomposition | ||
| 302 |
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2 | pinocchio::cholesky::decompose(model, data_ref); |
| 303 | |||
| 304 | // Compute Jacobians | ||
| 305 |
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2 | Data::Matrix6x J_RF(6, model.nv), J_LF(6, model.nv); |
| 306 |
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2 | J_RF.setZero(); |
| 307 |
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2 | getJointJacobian(model, data_ref, model.getJointId(RF), LOCAL, J_RF); |
| 308 |
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2 | J_LF.setZero(); |
| 309 |
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2 | getJointJacobian(model, data_ref, model.getJointId(LF), LOCAL, J_LF); |
| 310 | |||
| 311 | 2 | const int constraint_dim = 12; | |
| 312 | 2 | const int total_dim = model.nv + constraint_dim; | |
| 313 | |||
| 314 |
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2 | Data::MatrixXs H(total_dim, total_dim); |
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2 | H.setZero(); |
| 316 |
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2 | H.bottomRightCorner(model.nv, model.nv) = data_ref.M; |
| 317 |
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2 | H.middleRows<6>(0).rightCols(model.nv) = J_RF; |
| 318 |
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2 | H.middleRows<6>(6).rightCols(model.nv) = J_LF; |
| 319 | |||
| 320 |
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2 | H.triangularView<Eigen::StrictlyLower>() = H.triangularView<Eigen::StrictlyUpper>().transpose(); |
| 321 | |||
| 322 |
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2 | Data data(model); |
| 323 |
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2 | crba(model, data, q, Convention::WORLD); |
| 324 |
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2 | ContactCholeskyDecomposition contact_chol_decomposition; |
| 325 |
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2 | contact_chol_decomposition.allocate(model, contact_models); |
| 326 | |||
| 327 |
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2 | ContactCholeskyDecompositionAccessor access(contact_chol_decomposition); |
| 328 |
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66 | for (Eigen::DenseIndex k = 0; k < model.nv; ++k) |
| 329 | { | ||
| 330 |
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64 | if (data.parents_fromRow[(size_t)k] == -1) |
| 331 |
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2 | BOOST_CHECK(access.getParents_fromRow()[k + constraint_dim] == -1); |
| 332 | else | ||
| 333 |
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62 | BOOST_CHECK( |
| 334 | access.getParents_fromRow()[k + constraint_dim] | ||
| 335 | == data.parents_fromRow[(size_t)k] + constraint_dim); | ||
| 336 | } | ||
| 337 | |||
| 338 |
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2 | contact_chol_decomposition.compute(model, data, contact_models, contact_datas); |
| 339 | |||
| 340 |
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2 | data.M.triangularView<Eigen::StrictlyLower>() = |
| 341 |
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4 | data.M.triangularView<Eigen::StrictlyUpper>().transpose(); |
| 342 | |||
| 343 |
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2 | BOOST_CHECK(data_ref.D.isApprox(contact_chol_decomposition.D.tail(model.nv))); |
| 344 |
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2 | BOOST_CHECK(data_ref.Dinv.isApprox(contact_chol_decomposition.Dinv.tail(model.nv))); |
| 345 |
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2 | BOOST_CHECK( |
| 346 | data_ref.U.isApprox(contact_chol_decomposition.U.bottomRightCorner(model.nv, model.nv))); | ||
| 347 | |||
| 348 | Data::MatrixXs M_recomposed = | ||
| 349 |
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2 | contact_chol_decomposition.U.bottomRightCorner(model.nv, model.nv) |
| 350 |
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4 | * contact_chol_decomposition.D.tail(model.nv).asDiagonal() |
| 351 |
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4 | * contact_chol_decomposition.U.bottomRightCorner(model.nv, model.nv).transpose(); |
| 352 |
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2 | BOOST_CHECK(M_recomposed.isApprox(data.M)); |
| 353 | |||
| 354 | Data::MatrixXs H_recomposed = contact_chol_decomposition.U | ||
| 355 |
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2 | * contact_chol_decomposition.D.asDiagonal() |
| 356 |
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4 | * contact_chol_decomposition.U.transpose(); |
| 357 | |||
| 358 |
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2 | BOOST_CHECK(H_recomposed.bottomRightCorner(model.nv, model.nv).isApprox(data.M)); |
| 359 |
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2 | BOOST_CHECK(H_recomposed.topRightCorner(constraint_dim, model.nv) |
| 360 | .isApprox(H.topRightCorner(constraint_dim, model.nv))); | ||
| 361 |
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2 | BOOST_CHECK(H_recomposed.isApprox(H)); |
| 362 | |||
| 363 | // test Operational Space Inertia Matrix | ||
| 364 | { | ||
| 365 |
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2 | MatrixXd JMinvJt = H.middleRows<12>(0).rightCols(model.nv) * data_ref.M.inverse() |
| 366 |
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4 | * H.middleRows<12>(0).rightCols(model.nv).transpose(); |
| 367 |
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2 | MatrixXd iosim = contact_chol_decomposition.getInverseOperationalSpaceInertiaMatrix(); |
| 368 |
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2 | MatrixXd osim = contact_chol_decomposition.getOperationalSpaceInertiaMatrix(); |
| 369 |
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2 | Eigen::MatrixXd JMinv_test(Eigen::MatrixXd::Zero(constraint_dim, model.nv)); |
| 370 |
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2 | contact_chol_decomposition.getJMinv(JMinv_test); |
| 371 |
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2 | MatrixXd JMinv_ref = H.middleRows<12>(0).rightCols(model.nv) * data_ref.M.inverse(); |
| 372 |
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2 | BOOST_CHECK(JMinv_ref.isApprox(JMinv_test)); |
| 373 | |||
| 374 |
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2 | BOOST_CHECK(iosim.isApprox(JMinvJt)); |
| 375 |
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2 | BOOST_CHECK(osim.isApprox(JMinvJt.inverse())); |
| 376 | |||
| 377 |
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2 | const MatrixXd rhs = MatrixXd::Random(12, 12); |
| 378 |
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2 | const MatrixXd res_delassus = contact_chol_decomposition.getDelassusCholeskyExpression() * rhs; |
| 379 |
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2 | const MatrixXd res_delassus_ref = iosim * rhs; |
| 380 | |||
| 381 |
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2 | BOOST_CHECK(res_delassus_ref.isApprox(res_delassus)); |
| 382 | |||
| 383 | const MatrixXd res_delassus_inverse = | ||
| 384 |
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2 | contact_chol_decomposition.getDelassusCholeskyExpression().solve(rhs); |
| 385 |
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2 | const MatrixXd res_delassus_inverse_ref = osim * rhs; |
| 386 | |||
| 387 |
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2 | BOOST_CHECK(res_delassus_inverse_ref.isApprox(res_delassus_inverse)); |
| 388 | 2 | } | |
| 389 | |||
| 390 | // test Mass matrix cholesky | ||
| 391 |
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2 | data_ref.Minv = data_ref.M.inverse(); |
| 392 |
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2 | Eigen::MatrixXd Minv_test(Eigen::MatrixXd::Zero(model.nv, model.nv)); |
| 393 |
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2 | contact_chol_decomposition.getInverseMassMatrix(Minv_test); |
| 394 | |||
| 395 |
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2 | BOOST_CHECK(Minv_test.isApprox(data_ref.Minv)); |
| 396 | |||
| 397 |
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2 | ContactCholeskyDecomposition contact_chol_decomposition_mu; |
| 398 |
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2 | contact_chol_decomposition_mu.allocate(model, contact_models); |
| 399 |
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2 | contact_chol_decomposition_mu.compute(model, data, contact_models, contact_datas, 0.); |
| 400 | |||
| 401 |
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2 | BOOST_CHECK(contact_chol_decomposition_mu.D.isApprox(contact_chol_decomposition.D)); |
| 402 |
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2 | BOOST_CHECK(contact_chol_decomposition_mu.Dinv.isApprox(contact_chol_decomposition.Dinv)); |
| 403 |
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2 | BOOST_CHECK(contact_chol_decomposition_mu.U.isApprox(contact_chol_decomposition.U)); |
| 404 | |||
| 405 | 2 | const double mu = 0.1; | |
| 406 |
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2 | contact_chol_decomposition_mu.compute(model, data, contact_models, contact_datas, mu); |
| 407 |
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2 | Data::MatrixXs H_mu(H); |
| 408 |
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2 | H_mu.topLeftCorner(constraint_dim, constraint_dim).diagonal().fill(-mu); |
| 409 | |||
| 410 | // test damped Operational Space Inertia Matrix | ||
| 411 | { | ||
| 412 |
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2 | MatrixXd JMinvJt_mu = H_mu.middleRows<12>(0).rightCols(model.nv) * data_ref.M.inverse() |
| 413 |
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4 | * H_mu.middleRows<12>(0).rightCols(model.nv).transpose() |
| 414 |
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4 | + mu * MatrixXd::Identity(12, 12); |
| 415 |
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2 | MatrixXd iosim_mu = contact_chol_decomposition_mu.getInverseOperationalSpaceInertiaMatrix(); |
| 416 |
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2 | MatrixXd osim_mu = contact_chol_decomposition_mu.getOperationalSpaceInertiaMatrix(); |
| 417 | |||
| 418 |
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2 | BOOST_CHECK(iosim_mu.isApprox(JMinvJt_mu)); |
| 419 |
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2 | BOOST_CHECK(osim_mu.isApprox(JMinvJt_mu.inverse())); |
| 420 | |||
| 421 |
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2 | const MatrixXd rhs = MatrixXd::Random(12, 1); |
| 422 |
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2 | const MatrixXd res = contact_chol_decomposition_mu.getDelassusCholeskyExpression() * rhs; |
| 423 |
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2 | const MatrixXd res_ref = iosim_mu * rhs; |
| 424 | |||
| 425 |
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2 | BOOST_CHECK(res_ref.isApprox(res)); |
| 426 | |||
| 427 | const MatrixXd res_no_mu = | ||
| 428 |
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2 | contact_chol_decomposition_mu.getDelassusCholeskyExpression() * rhs - mu * rhs; |
| 429 |
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4 | const MatrixXd res_no_mu_ref = contact_chol_decomposition.getDelassusCholeskyExpression() * rhs; |
| 430 | |||
| 431 |
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2 | BOOST_CHECK(res_no_mu.isApprox(res_no_mu_ref)); |
| 432 | 2 | } | |
| 433 | |||
| 434 | Data::MatrixXs H_recomposed_mu = contact_chol_decomposition_mu.U | ||
| 435 |
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2 | * contact_chol_decomposition_mu.D.asDiagonal() |
| 436 |
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4 | * contact_chol_decomposition_mu.U.transpose(); |
| 437 | |||
| 438 |
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2 | BOOST_CHECK(H_recomposed_mu.isApprox(H_mu)); |
| 439 | |||
| 440 | // Test basic operation | ||
| 441 |
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2 | VectorXd v_in(VectorXd::Random(contact_chol_decomposition.size())); |
| 442 |
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2 | MatrixXd mat_in(MatrixXd::Random(contact_chol_decomposition.size(), 20)); |
| 443 | |||
| 444 | // Test Uv | ||
| 445 |
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2 | VectorXd Uv_op_res(v_in), Uv_op_ref(v_in); |
| 446 | |||
| 447 |
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2 | contact_chol_decomposition.Uv(Uv_op_res); |
| 448 |
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2 | Uv_op_ref.noalias() = contact_chol_decomposition.U * v_in; |
| 449 | |||
| 450 |
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2 | BOOST_CHECK(Uv_op_res.isApprox(Uv_op_ref)); |
| 451 | |||
| 452 |
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2 | MatrixXd Uv_mat_op_res(mat_in), Uv_mat_op_ref(mat_in); |
| 453 | |||
| 454 |
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2 | contact_chol_decomposition.Uv(Uv_mat_op_res); |
| 455 |
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2 | Uv_mat_op_ref.noalias() = contact_chol_decomposition.U * mat_in; |
| 456 | |||
| 457 |
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2 | BOOST_CHECK(Uv_mat_op_res.isApprox(Uv_mat_op_ref)); |
| 458 | |||
| 459 | // Test Utv | ||
| 460 |
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2 | VectorXd Utv_op_res(v_in), Utv_op_ref(v_in); |
| 461 | |||
| 462 |
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2 | contact_chol_decomposition.Utv(Utv_op_res); |
| 463 |
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2 | Utv_op_ref.noalias() = contact_chol_decomposition.U.transpose() * v_in; |
| 464 | |||
| 465 |
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2 | BOOST_CHECK(Utv_op_res.isApprox(Utv_op_ref)); |
| 466 | |||
| 467 |
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2 | MatrixXd Utv_mat_op_res(mat_in), Utv_mat_op_ref(mat_in); |
| 468 | |||
| 469 |
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2 | contact_chol_decomposition.Utv(Utv_mat_op_res); |
| 470 |
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2 | Utv_mat_op_ref.noalias() = contact_chol_decomposition.U.transpose() * mat_in; |
| 471 | |||
| 472 |
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2 | BOOST_CHECK(Utv_mat_op_res.isApprox(Utv_mat_op_ref)); |
| 473 | |||
| 474 | // Test Uiv | ||
| 475 |
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2 | VectorXd Uiv_op_res(v_in), Uiv_op_ref(v_in); |
| 476 | |||
| 477 |
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2 | contact_chol_decomposition.Uiv(Uiv_op_res); |
| 478 |
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2 | Uiv_op_ref.noalias() = contact_chol_decomposition.U.inverse() * v_in; |
| 479 | |||
| 480 |
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2 | BOOST_CHECK(Uiv_op_res.isApprox(Uiv_op_ref)); |
| 481 | |||
| 482 |
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2 | MatrixXd Uiv_mat_op_res(mat_in), Uiv_mat_op_ref(mat_in); |
| 483 | |||
| 484 |
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2 | contact_chol_decomposition.Uiv(Uiv_mat_op_res); |
| 485 |
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2 | Uiv_mat_op_ref.noalias() = contact_chol_decomposition.U.inverse() * mat_in; |
| 486 | |||
| 487 |
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2 | BOOST_CHECK(Uiv_mat_op_res.isApprox(Uiv_mat_op_ref)); |
| 488 | |||
| 489 | // Test Utiv | ||
| 490 |
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2 | VectorXd Utiv_op_res(v_in), Utiv_op_ref(v_in); |
| 491 | |||
| 492 |
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2 | contact_chol_decomposition.Utiv(Utiv_op_res); |
| 493 |
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2 | Utiv_op_ref.noalias() = contact_chol_decomposition.U.inverse().transpose() * v_in; |
| 494 | |||
| 495 |
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2 | BOOST_CHECK(Utiv_op_res.isApprox(Utiv_op_ref)); |
| 496 | |||
| 497 |
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2 | MatrixXd Utiv_mat_op_res(mat_in), Utiv_mat_op_ref(mat_in); |
| 498 | |||
| 499 |
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2 | contact_chol_decomposition.Utiv(Utiv_mat_op_res); |
| 500 |
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2 | Utiv_mat_op_ref.noalias() = contact_chol_decomposition.U.inverse().transpose() * mat_in; |
| 501 | |||
| 502 |
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2 | BOOST_CHECK(Utiv_mat_op_res.isApprox(Utiv_mat_op_ref)); |
| 503 | |||
| 504 | // SolveInPlace | ||
| 505 |
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2 | VectorXd sol(v_in); |
| 506 |
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2 | contact_chol_decomposition.solveInPlace(sol); |
| 507 | |||
| 508 |
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2 | VectorXd sol_ref(H.inverse() * v_in); |
| 509 | |||
| 510 |
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2 | BOOST_CHECK(sol.isApprox(sol_ref)); |
| 511 | |||
| 512 |
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2 | MatrixXd sol_mat(mat_in), sol_mat_ref(mat_in); |
| 513 | |||
| 514 |
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2 | contact_chol_decomposition.solveInPlace(sol_mat); |
| 515 |
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2 | sol_mat_ref.noalias() = H.inverse() * mat_in; |
| 516 | |||
| 517 |
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2 | BOOST_CHECK(sol_mat.isApprox(sol_mat_ref)); |
| 518 | |||
| 519 | // solve | ||
| 520 |
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2 | MatrixXd sol_copy_mat = contact_chol_decomposition.solve(mat_in); |
| 521 |
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2 | BOOST_CHECK(sol_copy_mat.isApprox(sol_mat)); |
| 522 | |||
| 523 | // inverse | ||
| 524 |
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2 | MatrixXd H_inv(contact_chol_decomposition.size(), contact_chol_decomposition.size()); |
| 525 |
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2 | contact_chol_decomposition.inverse(H_inv); |
| 526 | |||
| 527 |
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2 | MatrixXd H_inv_ref = H.inverse(); |
| 528 |
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2 | BOOST_CHECK(H_inv.isApprox(H_inv_ref)); |
| 529 | |||
| 530 | // Check matrix | ||
| 531 |
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2 | MatrixXd mat1; |
| 532 |
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2 | contact_chol_decomposition.matrix(mat1); |
| 533 |
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2 | BOOST_CHECK(mat1.isApprox(H)); |
| 534 | |||
| 535 |
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2 | MatrixXd mat2(constraint_dim + model.nv, constraint_dim + model.nv); |
| 536 |
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2 | contact_chol_decomposition.matrix(mat2.middleCols(0, constraint_dim + model.nv)); |
| 537 |
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2 | BOOST_CHECK(mat2.isApprox(H)); |
| 538 | |||
| 539 |
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2 | MatrixXd mat3 = contact_chol_decomposition.matrix(); |
| 540 |
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2 | BOOST_CHECK(mat3.isApprox(H)); |
| 541 | 2 | } | |
| 542 | |||
| 543 |
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|
4 | BOOST_AUTO_TEST_CASE(contact_cholesky_contact3D_6D_LOCAL) |
| 544 | { | ||
| 545 | using namespace Eigen; | ||
| 546 | using namespace pinocchio; | ||
| 547 | using namespace pinocchio::cholesky; | ||
| 548 | |||
| 549 |
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2 | pinocchio::Model model; |
| 550 |
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2 | pinocchio::buildModels::humanoidRandom(model, true); |
| 551 |
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2 | pinocchio::Data data_ref(model); |
| 552 | |||
| 553 |
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2 | model.lowerPositionLimit.head<3>().fill(-1.); |
| 554 |
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2 | model.upperPositionLimit.head<3>().fill(1.); |
| 555 |
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2 | VectorXd q = randomConfiguration(model); |
| 556 | |||
| 557 |
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2 | const std::string RF = "rleg6_joint"; |
| 558 |
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2 | const std::string LF = "lleg6_joint"; |
| 559 |
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2 | const std::string RA = "rarm6_joint"; |
| 560 |
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2 | const std::string LA = "larm6_joint"; |
| 561 | |||
| 562 |
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2 | PINOCCHIO_STD_VECTOR_WITH_EIGEN_ALLOCATOR(RigidConstraintModel) contact_models; |
| 563 |
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2 | PINOCCHIO_STD_VECTOR_WITH_EIGEN_ALLOCATOR(RigidConstraintData) contact_datas; |
| 564 |
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2 | RigidConstraintModel ci_RF(CONTACT_6D, model, model.getJointId(RF), LOCAL); |
| 565 |
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2 | contact_models.push_back(ci_RF); |
| 566 |
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2 | contact_datas.push_back(RigidConstraintData(ci_RF)); |
| 567 |
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2 | RigidConstraintModel ci_LF(CONTACT_3D, model, model.getJointId(LF), LOCAL); |
| 568 |
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2 | contact_models.push_back(ci_LF); |
| 569 |
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2 | contact_datas.push_back(RigidConstraintData(ci_LF)); |
| 570 | // RigidConstraintModel ci_RA(CONTACT_3D,model.getJointId(RA),LOCAL); | ||
| 571 | // contact_models.push_back(ci_RA); | ||
| 572 | // contact_datas.push_back(RigidConstraintData(ci_RA)); | ||
| 573 | // RigidConstraintModel ci_LA(CONTACT_3D,model.getJointId(LA),LOCAL_WORLD_ALIGNED); | ||
| 574 | // contact_models.push_back(ci_LA); | ||
| 575 | // contact_datas.push_back(RigidConstraintData(ci_LA)); | ||
| 576 | |||
| 577 | // Compute Mass Matrix | ||
| 578 |
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2 | crba(model, data_ref, q, Convention::WORLD); |
| 579 |
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2 | data_ref.M.triangularView<Eigen::StrictlyLower>() = |
| 580 |
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4 | data_ref.M.triangularView<Eigen::StrictlyUpper>().transpose(); |
| 581 | |||
| 582 | // Compute Cholesky decomposition | ||
| 583 |
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2 | pinocchio::cholesky::decompose(model, data_ref); |
| 584 | |||
| 585 | // Compute Jacobians | ||
| 586 |
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2 | Data::Matrix6x J_RF(6, model.nv), J_LF(6, model.nv), J_RA(6, model.nv), J_LA(6, model.nv); |
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2 | J_RF.setZero(); |
| 588 |
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2 | getJointJacobian(model, data_ref, model.getJointId(RF), LOCAL, J_RF); |
| 589 |
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2 | J_LF.setZero(); |
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2 | getJointJacobian(model, data_ref, model.getJointId(LF), LOCAL, J_LF); |
| 591 |
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2 | J_RA.setZero(); |
| 592 |
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2 | getJointJacobian(model, data_ref, model.getJointId(RA), LOCAL, J_RA); |
| 593 |
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2 | J_LA.setZero(); |
| 594 |
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2 | getJointJacobian(model, data_ref, model.getJointId(LA), LOCAL_WORLD_ALIGNED, J_LA); |
| 595 | |||
| 596 | 2 | const int constraint_dim = 9; | |
| 597 | 2 | const int total_dim = model.nv + constraint_dim; | |
| 598 | |||
| 599 |
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2 | Data::MatrixXs H(total_dim, total_dim); |
| 600 |
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2 | H.setZero(); |
| 601 |
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2 | H.bottomRightCorner(model.nv, model.nv) = data_ref.M; |
| 602 |
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2 | H.middleRows<6>(0).rightCols(model.nv) = J_RF; |
| 603 |
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2 | H.middleRows<3>(6).rightCols(model.nv) = J_LF.middleRows<3>(Motion::LINEAR); |
| 604 | // H.middleRows<3>(9).rightCols(model.nv) = J_RA.middleRows<3>(Motion::LINEAR); | ||
| 605 | // H.middleRows<3>(12).rightCols(model.nv) = J_LA.middleRows<3>(Motion::LINEAR); | ||
| 606 | |||
| 607 |
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2 | H.triangularView<Eigen::StrictlyLower>() = H.triangularView<Eigen::StrictlyUpper>().transpose(); |
| 608 | |||
| 609 |
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2 | Data data(model); |
| 610 |
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2 | crba(model, data, q, Convention::WORLD); |
| 611 |
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2 | ContactCholeskyDecomposition contact_chol_decomposition; |
| 612 |
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2 | contact_chol_decomposition.allocate(model, contact_models); |
| 613 | |||
| 614 |
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2 | ContactCholeskyDecompositionAccessor access(contact_chol_decomposition); |
| 615 |
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66 | for (Eigen::DenseIndex k = 0; k < model.nv; ++k) |
| 616 | { | ||
| 617 |
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64 | if (data.parents_fromRow[(size_t)k] == -1) |
| 618 |
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2 | BOOST_CHECK(access.getParents_fromRow()[k + constraint_dim] == -1); |
| 619 | else | ||
| 620 |
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62 | BOOST_CHECK( |
| 621 | access.getParents_fromRow()[k + constraint_dim] | ||
| 622 | == data.parents_fromRow[(size_t)k] + constraint_dim); | ||
| 623 | } | ||
| 624 | |||
| 625 |
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2 | contact_chol_decomposition.compute(model, data, contact_models, contact_datas); |
| 626 | |||
| 627 |
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2 | data.M.triangularView<Eigen::StrictlyLower>() = |
| 628 |
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4 | data.M.triangularView<Eigen::StrictlyUpper>().transpose(); |
| 629 | |||
| 630 |
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2 | BOOST_CHECK(data_ref.D.isApprox(contact_chol_decomposition.D.tail(model.nv))); |
| 631 |
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2 | BOOST_CHECK(data_ref.Dinv.isApprox(contact_chol_decomposition.Dinv.tail(model.nv))); |
| 632 |
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2 | BOOST_CHECK( |
| 633 | data_ref.U.isApprox(contact_chol_decomposition.U.bottomRightCorner(model.nv, model.nv))); | ||
| 634 | |||
| 635 | Data::MatrixXs M_recomposed = | ||
| 636 |
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2 | contact_chol_decomposition.U.bottomRightCorner(model.nv, model.nv) |
| 637 |
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4 | * contact_chol_decomposition.D.tail(model.nv).asDiagonal() |
| 638 |
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4 | * contact_chol_decomposition.U.bottomRightCorner(model.nv, model.nv).transpose(); |
| 639 |
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2 | BOOST_CHECK(M_recomposed.isApprox(data.M)); |
| 640 | |||
| 641 | Data::MatrixXs H_recomposed = contact_chol_decomposition.U | ||
| 642 |
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2 | * contact_chol_decomposition.D.asDiagonal() |
| 643 |
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4 | * contact_chol_decomposition.U.transpose(); |
| 644 | |||
| 645 |
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2 | BOOST_CHECK(H_recomposed.bottomRightCorner(model.nv, model.nv).isApprox(data.M)); |
| 646 |
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2 | BOOST_CHECK(H_recomposed.topRightCorner(constraint_dim, model.nv) |
| 647 | .isApprox(H.topRightCorner(constraint_dim, model.nv))); | ||
| 648 |
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2 | BOOST_CHECK(H_recomposed.isApprox(H)); |
| 649 | |||
| 650 | // Test basic operation | ||
| 651 |
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2 | VectorXd v_in(VectorXd::Random(contact_chol_decomposition.size())); |
| 652 |
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2 | MatrixXd mat_in(MatrixXd::Random(contact_chol_decomposition.size(), 20)); |
| 653 | |||
| 654 | // Test Uv | ||
| 655 |
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2 | VectorXd Uv_op_res(v_in), Uv_op_ref(v_in); |
| 656 | |||
| 657 |
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2 | contact_chol_decomposition.Uv(Uv_op_res); |
| 658 |
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2 | Uv_op_ref.noalias() = contact_chol_decomposition.U * v_in; |
| 659 | |||
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2 | BOOST_CHECK(Uv_op_res.isApprox(Uv_op_ref)); |
| 661 | |||
| 662 |
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2 | MatrixXd Uv_mat_op_res(mat_in), Uv_mat_op_ref(mat_in); |
| 663 | |||
| 664 |
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2 | contact_chol_decomposition.Uv(Uv_mat_op_res); |
| 665 |
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2 | Uv_mat_op_ref.noalias() = contact_chol_decomposition.U * mat_in; |
| 666 | |||
| 667 |
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2 | BOOST_CHECK(Uv_mat_op_res.isApprox(Uv_mat_op_ref)); |
| 668 | |||
| 669 | // Test Utv | ||
| 670 |
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2 | VectorXd Utv_op_res(v_in), Utv_op_ref(v_in); |
| 671 | |||
| 672 |
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2 | contact_chol_decomposition.Utv(Utv_op_res); |
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2 | Utv_op_ref.noalias() = contact_chol_decomposition.U.transpose() * v_in; |
| 674 | |||
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2 | BOOST_CHECK(Utv_op_res.isApprox(Utv_op_ref)); |
| 676 | |||
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2 | MatrixXd Utv_mat_op_res(mat_in), Utv_mat_op_ref(mat_in); |
| 678 | |||
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2 | contact_chol_decomposition.Utv(Utv_mat_op_res); |
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2 | Utv_mat_op_ref.noalias() = contact_chol_decomposition.U.transpose() * mat_in; |
| 681 | |||
| 682 |
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2 | BOOST_CHECK(Utv_mat_op_res.isApprox(Utv_mat_op_ref)); |
| 683 | |||
| 684 | // Test Uiv | ||
| 685 |
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2 | VectorXd Uiv_op_res(v_in), Uiv_op_ref(v_in); |
| 686 | |||
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2 | contact_chol_decomposition.Uiv(Uiv_op_res); |
| 688 |
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2 | Uiv_op_ref.noalias() = contact_chol_decomposition.U.inverse() * v_in; |
| 689 | |||
| 690 |
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2 | BOOST_CHECK(Uiv_op_res.isApprox(Uiv_op_ref)); |
| 691 | |||
| 692 |
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2 | MatrixXd Uiv_mat_op_res(mat_in), Uiv_mat_op_ref(mat_in); |
| 693 | |||
| 694 |
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2 | contact_chol_decomposition.Uiv(Uiv_mat_op_res); |
| 695 |
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2 | Uiv_mat_op_ref.noalias() = contact_chol_decomposition.U.inverse() * mat_in; |
| 696 | |||
| 697 |
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|
2 | BOOST_CHECK(Uiv_mat_op_res.isApprox(Uiv_mat_op_ref)); |
| 698 | |||
| 699 | // Test Utiv | ||
| 700 |
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2 | VectorXd Utiv_op_res(v_in), Utiv_op_ref(v_in); |
| 701 | |||
| 702 |
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2 | contact_chol_decomposition.Utiv(Utiv_op_res); |
| 703 |
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2 | Utiv_op_ref.noalias() = contact_chol_decomposition.U.inverse().transpose() * v_in; |
| 704 | |||
| 705 |
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2 | BOOST_CHECK(Utiv_op_res.isApprox(Utiv_op_ref)); |
| 706 | |||
| 707 |
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2 | MatrixXd Utiv_mat_op_res(mat_in), Utiv_mat_op_ref(mat_in); |
| 708 | |||
| 709 |
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2 | contact_chol_decomposition.Utiv(Utiv_mat_op_res); |
| 710 |
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2 | Utiv_mat_op_ref.noalias() = contact_chol_decomposition.U.inverse().transpose() * mat_in; |
| 711 | |||
| 712 |
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2 | BOOST_CHECK(Utiv_mat_op_res.isApprox(Utiv_mat_op_ref)); |
| 713 | |||
| 714 | // SolveInPlace | ||
| 715 |
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2 | VectorXd sol(v_in); |
| 716 |
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2 | contact_chol_decomposition.solveInPlace(sol); |
| 717 | |||
| 718 |
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2 | VectorXd sol_ref(H.inverse() * v_in); |
| 719 | |||
| 720 |
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2 | BOOST_CHECK(sol.isApprox(sol_ref)); |
| 721 | |||
| 722 |
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2 | MatrixXd sol_mat(mat_in), sol_mat_ref(mat_in); |
| 723 | |||
| 724 |
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2 | contact_chol_decomposition.solveInPlace(sol_mat); |
| 725 |
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2 | sol_mat_ref.noalias() = H.inverse() * mat_in; |
| 726 | |||
| 727 |
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2 | BOOST_CHECK(sol_mat.isApprox(sol_mat_ref)); |
| 728 | |||
| 729 | // solve | ||
| 730 |
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2 | MatrixXd sol_copy_mat = contact_chol_decomposition.solve(mat_in); |
| 731 |
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|
2 | BOOST_CHECK(sol_copy_mat.isApprox(sol_mat)); |
| 732 | |||
| 733 | // inverse | ||
| 734 |
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2 | MatrixXd H_inv(contact_chol_decomposition.size(), contact_chol_decomposition.size()); |
| 735 |
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2 | contact_chol_decomposition.inverse(H_inv); |
| 736 | |||
| 737 |
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2 | MatrixXd H_inv_ref = H.inverse(); |
| 738 |
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2 | BOOST_CHECK(H_inv.isApprox(H_inv_ref)); |
| 739 | |||
| 740 | // Check matrix | ||
| 741 |
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2 | MatrixXd mat1; |
| 742 |
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2 | contact_chol_decomposition.matrix(mat1); |
| 743 |
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2 | BOOST_CHECK(mat1.isApprox(H)); |
| 744 | |||
| 745 |
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2 | MatrixXd mat2(constraint_dim + model.nv, constraint_dim + model.nv); |
| 746 |
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2 | contact_chol_decomposition.matrix(mat2.middleCols(0, constraint_dim + model.nv)); |
| 747 |
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2 | BOOST_CHECK(mat2.isApprox(H)); |
| 748 | |||
| 749 |
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2 | MatrixXd mat3 = contact_chol_decomposition.matrix(); |
| 750 |
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2 | BOOST_CHECK(mat3.isApprox(H)); |
| 751 | |||
| 752 | // test Operational Space Inertia Matrix | ||
| 753 |
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2 | MatrixXd JMinvJt = H.middleRows<9>(0).rightCols(model.nv) * data_ref.M.inverse() |
| 754 |
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4 | * H.middleRows<9>(0).rightCols(model.nv).transpose(); |
| 755 |
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2 | MatrixXd iosim = contact_chol_decomposition.getInverseOperationalSpaceInertiaMatrix(); |
| 756 |
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2 | MatrixXd osim = contact_chol_decomposition.getOperationalSpaceInertiaMatrix(); |
| 757 | |||
| 758 |
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2 | BOOST_CHECK(iosim.isApprox(JMinvJt)); |
| 759 |
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2 | BOOST_CHECK(osim.isApprox(JMinvJt.inverse())); |
| 760 | |||
| 761 | // test Mass matrix cholesky | ||
| 762 |
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2 | data_ref.Minv = data_ref.M.inverse(); |
| 763 |
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2 | Eigen::MatrixXd Minv_test(Eigen::MatrixXd::Zero(model.nv, model.nv)); |
| 764 |
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2 | contact_chol_decomposition.getInverseMassMatrix(Minv_test); |
| 765 | |||
| 766 |
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2 | Eigen::MatrixXd JMinv_test(Eigen::MatrixXd::Zero(9, model.nv)); |
| 767 |
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2 | contact_chol_decomposition.getJMinv(JMinv_test); |
| 768 |
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2 | MatrixXd JMinv_ref = H.middleRows<9>(0).rightCols(model.nv) * data_ref.M.inverse(); |
| 769 |
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2 | BOOST_CHECK(JMinv_ref.isApprox(JMinv_test)); |
| 770 | |||
| 771 |
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2 | BOOST_CHECK(Minv_test.isApprox(data_ref.Minv)); |
| 772 | 2 | } | |
| 773 | |||
| 774 |
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|
4 | BOOST_AUTO_TEST_CASE(contact_cholesky_contact6D_LOCAL_WORLD_ALIGNED) |
| 775 | { | ||
| 776 | using namespace Eigen; | ||
| 777 | using namespace pinocchio; | ||
| 778 | using namespace pinocchio::cholesky; | ||
| 779 | |||
| 780 |
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2 | pinocchio::Model model; |
| 781 |
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2 | pinocchio::buildModels::humanoidRandom(model, true); |
| 782 |
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2 | pinocchio::Data data_ref(model); |
| 783 | |||
| 784 |
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2 | model.lowerPositionLimit.head<3>().fill(-1.); |
| 785 |
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2 | model.upperPositionLimit.head<3>().fill(1.); |
| 786 |
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2 | VectorXd q = randomConfiguration(model); |
| 787 | |||
| 788 |
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2 | const std::string RF = "rleg6_joint"; |
| 789 |
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2 | const std::string LF = "lleg6_joint"; |
| 790 | |||
| 791 |
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2 | PINOCCHIO_STD_VECTOR_WITH_EIGEN_ALLOCATOR(RigidConstraintModel) contact_models; |
| 792 |
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2 | PINOCCHIO_STD_VECTOR_WITH_EIGEN_ALLOCATOR(RigidConstraintData) contact_datas; |
| 793 |
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2 | RigidConstraintModel ci_RF(CONTACT_6D, model, model.getJointId(RF), LOCAL_WORLD_ALIGNED); |
| 794 |
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2 | contact_models.push_back(ci_RF); |
| 795 |
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2 | contact_datas.push_back(RigidConstraintData(ci_RF)); |
| 796 |
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2 | RigidConstraintModel ci_LF(CONTACT_6D, model, model.getJointId(LF), LOCAL); |
| 797 |
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2 | contact_models.push_back(ci_LF); |
| 798 |
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2 | contact_datas.push_back(RigidConstraintData(ci_LF)); |
| 799 | |||
| 800 | // Compute Mass Matrix | ||
| 801 |
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2 | crba(model, data_ref, q, Convention::WORLD); |
| 802 |
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2 | data_ref.M.triangularView<Eigen::StrictlyLower>() = |
| 803 |
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4 | data_ref.M.triangularView<Eigen::StrictlyUpper>().transpose(); |
| 804 | |||
| 805 | // Compute Cholesky decomposition | ||
| 806 |
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2 | pinocchio::cholesky::decompose(model, data_ref); |
| 807 | |||
| 808 | // Compute Jacobians | ||
| 809 |
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2 | Data::Matrix6x J_RF(6, model.nv), J_LF(6, model.nv); |
| 810 |
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2 | J_RF.setZero(); |
| 811 |
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2 | getJointJacobian(model, data_ref, model.getJointId(RF), ci_RF.reference_frame, J_RF); |
| 812 |
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2 | J_LF.setZero(); |
| 813 |
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2 | getJointJacobian(model, data_ref, model.getJointId(LF), ci_LF.reference_frame, J_LF); |
| 814 | |||
| 815 | 2 | const int constraint_dim = 12; | |
| 816 | 2 | const int total_dim = model.nv + constraint_dim; | |
| 817 | |||
| 818 |
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2 | Data::MatrixXs H(total_dim, total_dim); |
| 819 |
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2 | H.setZero(); |
| 820 |
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2 | H.bottomRightCorner(model.nv, model.nv) = data_ref.M; |
| 821 |
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2 | H.middleRows<6>(0).rightCols(model.nv) = J_RF; |
| 822 |
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2 | H.middleRows<6>(6).rightCols(model.nv) = J_LF; |
| 823 | |||
| 824 |
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2 | H.triangularView<Eigen::StrictlyLower>() = H.triangularView<Eigen::StrictlyUpper>().transpose(); |
| 825 | |||
| 826 |
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2 | Data data(model); |
| 827 |
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2 | crba(model, data, q, Convention::WORLD); |
| 828 |
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2 | ContactCholeskyDecomposition contact_chol_decomposition; |
| 829 |
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2 | contact_chol_decomposition.allocate(model, contact_models); |
| 830 |
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2 | contact_chol_decomposition.compute(model, data, contact_models, contact_datas); |
| 831 | |||
| 832 |
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2 | data.M.triangularView<Eigen::StrictlyLower>() = |
| 833 |
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4 | data.M.triangularView<Eigen::StrictlyUpper>().transpose(); |
| 834 | |||
| 835 |
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2 | Data::MatrixXs H_recomposed = contact_chol_decomposition.matrix(); |
| 836 | |||
| 837 |
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|
2 | BOOST_CHECK(H_recomposed.bottomRightCorner(model.nv, model.nv).isApprox(data.M)); |
| 838 |
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|
2 | BOOST_CHECK(H_recomposed.topRightCorner(constraint_dim, model.nv) |
| 839 | .isApprox(H.topRightCorner(constraint_dim, model.nv))); | ||
| 840 |
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|
2 | BOOST_CHECK(H_recomposed.isApprox(H)); |
| 841 | |||
| 842 | // inverse | ||
| 843 |
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2 | MatrixXd H_inv(contact_chol_decomposition.size(), contact_chol_decomposition.size()); |
| 844 |
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2 | contact_chol_decomposition.inverse(H_inv); |
| 845 | |||
| 846 |
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2 | MatrixXd H_inv_ref = H_recomposed.inverse(); |
| 847 |
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|
2 | BOOST_CHECK(H_inv.isApprox(H_inv_ref)); |
| 848 | |||
| 849 | // test Operational Space Inertia Matrix | ||
| 850 |
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2 | MatrixXd JMinvJt = H.middleRows<12>(0).rightCols(model.nv) * data_ref.M.inverse() |
| 851 |
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4 | * H.middleRows<12>(0).rightCols(model.nv).transpose(); |
| 852 |
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2 | MatrixXd iosim = contact_chol_decomposition.getInverseOperationalSpaceInertiaMatrix(); |
| 853 |
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2 | MatrixXd osim = contact_chol_decomposition.getOperationalSpaceInertiaMatrix(); |
| 854 | |||
| 855 |
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2 | BOOST_CHECK(iosim.isApprox(JMinvJt)); |
| 856 |
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|
2 | BOOST_CHECK(osim.isApprox(JMinvJt.inverse())); |
| 857 | |||
| 858 | // test Mass matrix cholesky | ||
| 859 |
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2 | data_ref.Minv = data_ref.M.inverse(); |
| 860 |
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2 | Eigen::MatrixXd Minv_test(Eigen::MatrixXd::Zero(model.nv, model.nv)); |
| 861 |
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2 | contact_chol_decomposition.getInverseMassMatrix(Minv_test); |
| 862 | |||
| 863 |
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2 | Eigen::MatrixXd JMinv_test(Eigen::MatrixXd::Zero(12, model.nv)); |
| 864 |
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2 | contact_chol_decomposition.getJMinv(JMinv_test); |
| 865 |
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2 | MatrixXd JMinv_ref = H.middleRows<12>(0).rightCols(model.nv) * data_ref.M.inverse(); |
| 866 |
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2 | BOOST_CHECK(JMinv_ref.isApprox(JMinv_test)); |
| 867 | |||
| 868 |
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2 | BOOST_CHECK(Minv_test.isApprox(data_ref.Minv)); |
| 869 | 2 | } | |
| 870 | |||
| 871 |
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|
4 | BOOST_AUTO_TEST_CASE(contact_cholesky_contact6D_by_joint_2) |
| 872 | { | ||
| 873 | using namespace Eigen; | ||
| 874 | using namespace pinocchio; | ||
| 875 | using namespace pinocchio::cholesky; | ||
| 876 | |||
| 877 |
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2 | pinocchio::Model model; |
| 878 |
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2 | pinocchio::buildModels::humanoidRandom(model, true); |
| 879 |
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2 | pinocchio::Data data_ref(model); |
| 880 | |||
| 881 |
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2 | model.lowerPositionLimit.head<3>().fill(-1.); |
| 882 |
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2 | model.upperPositionLimit.head<3>().fill(1.); |
| 883 |
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2 | VectorXd q = randomConfiguration(model); |
| 884 | |||
| 885 |
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2 | const std::string RF = "rleg6_joint"; |
| 886 |
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2 | const std::string LF = "lleg6_joint"; |
| 887 |
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2 | const std::string RA = "rarm6_joint"; |
| 888 |
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2 | const std::string LA = "larm6_joint"; |
| 889 | |||
| 890 |
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2 | PINOCCHIO_STD_VECTOR_WITH_EIGEN_ALLOCATOR(RigidConstraintModel) contact_models; |
| 891 |
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2 | PINOCCHIO_STD_VECTOR_WITH_EIGEN_ALLOCATOR(RigidConstraintData) contact_datas; |
| 892 |
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2 | RigidConstraintModel ci_RF(CONTACT_6D, model, 0, model.getJointId(RF), LOCAL); |
| 893 |
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2 | contact_models.push_back(ci_RF); |
| 894 |
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2 | contact_datas.push_back(RigidConstraintData(ci_RF)); |
| 895 |
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|
2 | RigidConstraintModel ci_LF(CONTACT_6D, model, 0, model.getJointId(LF), LOCAL); |
| 896 |
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2 | contact_models.push_back(ci_LF); |
| 897 |
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2 | contact_datas.push_back(RigidConstraintData(ci_LF)); |
| 898 |
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2 | RigidConstraintModel ci_RA(CONTACT_6D, model, 0, model.getJointId(RA), LOCAL_WORLD_ALIGNED); |
| 899 |
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2 | contact_models.push_back(ci_RA); |
| 900 |
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2 | contact_datas.push_back(RigidConstraintData(ci_RA)); |
| 901 |
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2 | RigidConstraintModel ci_LA(CONTACT_6D, model, 0, model.getJointId(LA), LOCAL); |
| 902 |
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2 | contact_models.push_back(ci_LA); |
| 903 |
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|
2 | contact_datas.push_back(RigidConstraintData(ci_LA)); |
| 904 | |||
| 905 | // Compute Mass Matrix | ||
| 906 |
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2 | crba(model, data_ref, q, Convention::WORLD); |
| 907 |
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2 | data_ref.M.triangularView<Eigen::StrictlyLower>() = |
| 908 |
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4 | data_ref.M.triangularView<Eigen::StrictlyUpper>().transpose(); |
| 909 | |||
| 910 | // Compute Cholesky decomposition | ||
| 911 |
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2 | pinocchio::cholesky::decompose(model, data_ref); |
| 912 | |||
| 913 | // Compute Jacobians | ||
| 914 |
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2 | Data::Matrix6x J_RF(6, model.nv), J_LF(6, model.nv), J_RA(6, model.nv), J_LA(6, model.nv); |
| 915 |
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2 | J_RF.setZero(); |
| 916 |
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2 | getJointJacobian(model, data_ref, model.getJointId(RF), WORLD, J_RF); |
| 917 |
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2 | J_LF.setZero(); |
| 918 |
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2 | getJointJacobian(model, data_ref, model.getJointId(LF), WORLD, J_LF); |
| 919 |
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2 | J_RA.setZero(); |
| 920 |
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2 | getJointJacobian(model, data_ref, model.getJointId(RA), WORLD, J_RA); |
| 921 |
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2 | J_LA.setZero(); |
| 922 |
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2 | getJointJacobian(model, data_ref, model.getJointId(LA), WORLD, J_LA); |
| 923 | |||
| 924 | 2 | const int constraint_dim = 24; | |
| 925 | 2 | const int total_dim = model.nv + constraint_dim; | |
| 926 | |||
| 927 |
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2 | const SE3 oMRA_wla = SE3(SE3::Matrix3::Identity(), ci_RA.joint1_placement.translation()); |
| 928 | |||
| 929 | 2 | const double mu = 0.1; | |
| 930 |
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2 | Data::MatrixXs H(total_dim, total_dim); |
| 931 |
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2 | H.setZero(); |
| 932 |
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2 | H.topLeftCorner(constraint_dim, constraint_dim).diagonal().fill(-mu); |
| 933 |
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2 | H.bottomRightCorner(model.nv, model.nv) = data_ref.M; |
| 934 |
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2 | H.middleRows<6>(0).rightCols(model.nv) = -ci_RF.joint1_placement.toActionMatrixInverse() * J_RF; |
| 935 |
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2 | H.middleRows<6>(6).rightCols(model.nv) = -ci_LF.joint1_placement.toActionMatrixInverse() * J_LF; |
| 936 |
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2 | H.middleRows<6>(12).rightCols(model.nv) = -oMRA_wla.toActionMatrixInverse() * J_RA; |
| 937 |
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2 | H.middleRows<6>(18).rightCols(model.nv) = -ci_LA.joint1_placement.toActionMatrixInverse() * J_LA; |
| 938 | |||
| 939 |
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2 | H.triangularView<Eigen::StrictlyLower>() = H.triangularView<Eigen::StrictlyUpper>().transpose(); |
| 940 | |||
| 941 |
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2 | Data data(model); |
| 942 |
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2 | crba(model, data, q, Convention::WORLD); |
| 943 |
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2 | ContactCholeskyDecomposition contact_chol_decomposition; |
| 944 |
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2 | contact_chol_decomposition.allocate(model, contact_models); |
| 945 |
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2 | contact_chol_decomposition.compute(model, data, contact_models, contact_datas, mu); |
| 946 | |||
| 947 |
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2 | data.M.triangularView<Eigen::StrictlyLower>() = |
| 948 |
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4 | data.M.triangularView<Eigen::StrictlyUpper>().transpose(); |
| 949 | |||
| 950 |
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2 | Data::MatrixXs H_recomposed = contact_chol_decomposition.matrix(); |
| 951 | |||
| 952 |
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2 | BOOST_CHECK(H_recomposed.bottomRightCorner(model.nv, model.nv).isApprox(data.M)); |
| 953 |
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|
2 | BOOST_CHECK(H_recomposed.topRightCorner(constraint_dim, model.nv) |
| 954 | .isApprox(H.topRightCorner(constraint_dim, model.nv))); | ||
| 955 |
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2 | BOOST_CHECK(H_recomposed.isApprox(H)); |
| 956 | |||
| 957 |
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2 | VectorXd v_in(VectorXd::Random(contact_chol_decomposition.size())); |
| 958 |
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2 | MatrixXd mat_in(MatrixXd::Random(contact_chol_decomposition.size(), 20)); |
| 959 | |||
| 960 | // Test Uv | ||
| 961 |
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2 | VectorXd Uv_op_res(v_in), Uv_op_ref(v_in); |
| 962 | |||
| 963 |
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2 | contact_chol_decomposition.Uv(Uv_op_res); |
| 964 |
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2 | Uv_op_ref.noalias() = contact_chol_decomposition.U * v_in; |
| 965 | |||
| 966 |
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2 | BOOST_CHECK(Uv_op_res.isApprox(Uv_op_ref)); |
| 967 | |||
| 968 |
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2 | MatrixXd Uv_mat_op_res(mat_in), Uv_mat_op_ref(mat_in); |
| 969 | |||
| 970 |
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2 | contact_chol_decomposition.Uv(Uv_mat_op_res); |
| 971 |
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2 | Uv_mat_op_ref.noalias() = contact_chol_decomposition.U * mat_in; |
| 972 | |||
| 973 |
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2 | BOOST_CHECK(Uv_mat_op_res.isApprox(Uv_mat_op_ref)); |
| 974 | |||
| 975 | // Test Utv | ||
| 976 |
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2 | VectorXd Utv_op_res(v_in), Utv_op_ref(v_in); |
| 977 | |||
| 978 |
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2 | contact_chol_decomposition.Utv(Utv_op_res); |
| 979 |
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2 | Utv_op_ref.noalias() = contact_chol_decomposition.U.transpose() * v_in; |
| 980 | |||
| 981 |
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2 | BOOST_CHECK(Utv_op_res.isApprox(Utv_op_ref)); |
| 982 | |||
| 983 |
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2 | MatrixXd Utv_mat_op_res(mat_in), Utv_mat_op_ref(mat_in); |
| 984 | |||
| 985 |
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2 | contact_chol_decomposition.Utv(Utv_mat_op_res); |
| 986 |
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2 | Utv_mat_op_ref.noalias() = contact_chol_decomposition.U.transpose() * mat_in; |
| 987 | |||
| 988 |
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2 | BOOST_CHECK(Utv_mat_op_res.isApprox(Utv_mat_op_ref)); |
| 989 | |||
| 990 | // Test Uiv | ||
| 991 |
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2 | VectorXd Uiv_op_res(v_in), Uiv_op_ref(v_in); |
| 992 | |||
| 993 |
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2 | contact_chol_decomposition.Uiv(Uiv_op_res); |
| 994 |
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2 | Uiv_op_ref.noalias() = contact_chol_decomposition.U.inverse() * v_in; |
| 995 | |||
| 996 |
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2 | BOOST_CHECK(Uiv_op_res.isApprox(Uiv_op_ref)); |
| 997 | |||
| 998 |
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2 | MatrixXd Uiv_mat_op_res(mat_in), Uiv_mat_op_ref(mat_in); |
| 999 | |||
| 1000 |
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2 | contact_chol_decomposition.Uiv(Uiv_mat_op_res); |
| 1001 |
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2 | Uiv_mat_op_ref.noalias() = contact_chol_decomposition.U.inverse() * mat_in; |
| 1002 | |||
| 1003 |
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2 | BOOST_CHECK(Uiv_mat_op_res.isApprox(Uiv_mat_op_ref)); |
| 1004 | |||
| 1005 | // Test Utiv | ||
| 1006 |
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2 | VectorXd Utiv_op_res(v_in), Utiv_op_ref(v_in); |
| 1007 | |||
| 1008 |
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2 | contact_chol_decomposition.Utiv(Utiv_op_res); |
| 1009 |
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2 | Utiv_op_ref.noalias() = contact_chol_decomposition.U.inverse().transpose() * v_in; |
| 1010 | |||
| 1011 |
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2 | BOOST_CHECK(Utiv_op_res.isApprox(Utiv_op_ref)); |
| 1012 | |||
| 1013 |
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2 | MatrixXd Utiv_mat_op_res(mat_in), Utiv_mat_op_ref(mat_in); |
| 1014 | |||
| 1015 |
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2 | contact_chol_decomposition.Utiv(Utiv_mat_op_res); |
| 1016 |
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2 | Utiv_mat_op_ref.noalias() = contact_chol_decomposition.U.inverse().transpose() * mat_in; |
| 1017 | |||
| 1018 |
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2 | BOOST_CHECK(Utiv_mat_op_res.isApprox(Utiv_mat_op_ref)); |
| 1019 | |||
| 1020 | // inverse | ||
| 1021 |
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2 | MatrixXd H_inv(contact_chol_decomposition.size(), contact_chol_decomposition.size()); |
| 1022 |
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2 | contact_chol_decomposition.inverse(H_inv); |
| 1023 | |||
| 1024 |
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2 | MatrixXd H_inv2 = contact_chol_decomposition.U.transpose().inverse() |
| 1025 |
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4 | * contact_chol_decomposition.Dinv.asDiagonal() |
| 1026 |
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4 | * contact_chol_decomposition.U.inverse(); |
| 1027 | |||
| 1028 | MatrixXd H_inv3 = | ||
| 1029 |
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2 | MatrixXd::Identity(contact_chol_decomposition.size(), contact_chol_decomposition.size()); |
| 1030 |
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2 | contact_chol_decomposition.solveInPlace(H_inv3); |
| 1031 | |||
| 1032 |
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2 | MatrixXd H_inv_ref = H_recomposed.inverse(); |
| 1033 |
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|
2 | BOOST_CHECK(H_inv.topLeftCorner(constraint_dim, constraint_dim) |
| 1034 | .isApprox(H_inv_ref.topLeftCorner(constraint_dim, constraint_dim))); | ||
| 1035 |
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|
2 | BOOST_CHECK(H_inv.bottomRightCorner(model.nv, model.nv) |
| 1036 | .isApprox(H_inv_ref.bottomRightCorner(model.nv, model.nv))); | ||
| 1037 |
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|
2 | BOOST_CHECK(H_inv.topRightCorner(constraint_dim, model.nv) |
| 1038 | .isApprox(H_inv_ref.topRightCorner(constraint_dim, model.nv))); | ||
| 1039 | |||
| 1040 |
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2 | BOOST_CHECK(H_inv_ref.isApprox(H_inv)); |
| 1041 |
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2 | BOOST_CHECK(H_inv_ref.isApprox(H_inv2)); |
| 1042 |
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2 | BOOST_CHECK(H_inv_ref.isApprox(H_inv3)); |
| 1043 |
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2 | const VectorXd ei = VectorXd::Unit(contact_chol_decomposition.size(), constraint_dim); |
| 1044 |
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2 | VectorXd ei_inv = ei; |
| 1045 |
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2 | contact_chol_decomposition.solveInPlace(ei_inv); |
| 1046 |
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2 | VectorXd ei_inv2 = ei; |
| 1047 |
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2 | contact_chol_decomposition.Uiv(ei_inv2); |
| 1048 |
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2 | ei_inv2 = contact_chol_decomposition.Dinv.asDiagonal() * ei_inv2; |
| 1049 |
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2 | contact_chol_decomposition.Utiv(ei_inv2); |
| 1050 | |||
| 1051 |
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2 | BOOST_CHECK(ei_inv.isApprox(H_inv_ref * ei)); |
| 1052 |
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|
2 | BOOST_CHECK(ei_inv2.isApprox(H_inv_ref * ei)); |
| 1053 |
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2 | BOOST_CHECK(ei_inv.isApprox(H_inv * ei)); |
| 1054 |
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|
2 | BOOST_CHECK(ei_inv2.isApprox(H_inv * ei)); |
| 1055 | |||
| 1056 | // test Operational Space Inertia Matrix | ||
| 1057 |
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2 | MatrixXd JMinvJt = H.middleRows<24>(0).rightCols(model.nv) * data_ref.M.inverse() |
| 1058 |
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|
4 | * H.middleRows<24>(0).rightCols(model.nv).transpose() |
| 1059 |
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|
4 | + mu * Eigen::MatrixXd::Identity(24, 24); |
| 1060 |
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2 | MatrixXd iosim = contact_chol_decomposition.getInverseOperationalSpaceInertiaMatrix(); |
| 1061 |
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2 | MatrixXd osim = contact_chol_decomposition.getOperationalSpaceInertiaMatrix(); |
| 1062 | |||
| 1063 |
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|
2 | BOOST_CHECK(iosim.isApprox(JMinvJt)); |
| 1064 |
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|
2 | BOOST_CHECK(osim.isApprox(JMinvJt.inverse())); |
| 1065 | |||
| 1066 | // test Mass matrix cholesky | ||
| 1067 |
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2 | data_ref.Minv = data_ref.M.inverse(); |
| 1068 |
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2 | Eigen::MatrixXd Minv_test(Eigen::MatrixXd::Zero(model.nv, model.nv)); |
| 1069 |
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2 | contact_chol_decomposition.getInverseMassMatrix(Minv_test); |
| 1070 | |||
| 1071 |
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2 | BOOST_CHECK(Minv_test.isApprox(data_ref.Minv)); |
| 1072 |
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2 | Eigen::MatrixXd JMinv_test(Eigen::MatrixXd::Zero(24, model.nv)); |
| 1073 |
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2 | contact_chol_decomposition.getJMinv(JMinv_test); |
| 1074 |
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2 | MatrixXd JMinv_ref = H.middleRows<24>(0).rightCols(model.nv) * data_ref.M.inverse(); |
| 1075 |
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2 | BOOST_CHECK(JMinv_ref.isApprox(JMinv_test)); |
| 1076 | 2 | } | |
| 1077 | |||
| 1078 |
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|
4 | BOOST_AUTO_TEST_CASE(contact_cholesky_contact3D_6D_WORLD_by_joint_2) |
| 1079 | { | ||
| 1080 | using namespace Eigen; | ||
| 1081 | using namespace pinocchio; | ||
| 1082 | using namespace pinocchio::cholesky; | ||
| 1083 | |||
| 1084 |
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2 | pinocchio::Model model; |
| 1085 |
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2 | pinocchio::buildModels::humanoidRandom(model, true); |
| 1086 |
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2 | pinocchio::Data data_ref(model); |
| 1087 | |||
| 1088 |
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2 | model.lowerPositionLimit.head<3>().fill(-1.); |
| 1089 |
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2 | model.upperPositionLimit.head<3>().fill(1.); |
| 1090 |
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2 | VectorXd q = randomConfiguration(model); |
| 1091 | |||
| 1092 |
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2 | const std::string RF = "rleg6_joint"; |
| 1093 |
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2 | const std::string LF = "lleg6_joint"; |
| 1094 |
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2 | const std::string RA = "rarm6_joint"; |
| 1095 |
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2 | const std::string LA = "larm6_joint"; |
| 1096 | |||
| 1097 |
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2 | PINOCCHIO_STD_VECTOR_WITH_EIGEN_ALLOCATOR(RigidConstraintModel) contact_models; |
| 1098 |
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2 | PINOCCHIO_STD_VECTOR_WITH_EIGEN_ALLOCATOR(RigidConstraintData) contact_datas; |
| 1099 |
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|
2 | RigidConstraintModel ci_RF(CONTACT_6D, model, 0, model.getJointId(RF), LOCAL); |
| 1100 |
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2 | contact_models.push_back(ci_RF); |
| 1101 |
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2 | contact_datas.push_back(RigidConstraintData(ci_RF)); |
| 1102 |
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|
2 | RigidConstraintModel ci_LF(CONTACT_3D, model, 0, model.getJointId(LF), LOCAL); |
| 1103 |
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2 | contact_models.push_back(ci_LF); |
| 1104 |
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2 | contact_datas.push_back(RigidConstraintData(ci_LF)); |
| 1105 |
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2 | RigidConstraintModel ci_RA(CONTACT_3D, model, 0, model.getJointId(RA), LOCAL); |
| 1106 |
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2 | contact_models.push_back(ci_RA); |
| 1107 |
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2 | contact_datas.push_back(RigidConstraintData(ci_RA)); |
| 1108 |
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2 | RigidConstraintModel ci_LA(CONTACT_3D, model, 0, model.getJointId(LA), LOCAL_WORLD_ALIGNED); |
| 1109 |
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2 | contact_models.push_back(ci_LA); |
| 1110 |
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|
2 | contact_datas.push_back(RigidConstraintData(ci_LA)); |
| 1111 | |||
| 1112 | // Compute Mass Matrix | ||
| 1113 |
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2 | crba(model, data_ref, q, Convention::WORLD); |
| 1114 |
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2 | data_ref.M.triangularView<Eigen::StrictlyLower>() = |
| 1115 |
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4 | data_ref.M.triangularView<Eigen::StrictlyUpper>().transpose(); |
| 1116 | |||
| 1117 | // Compute Cholesky decomposition | ||
| 1118 |
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2 | pinocchio::cholesky::decompose(model, data_ref); |
| 1119 | |||
| 1120 | // Compute Jacobians | ||
| 1121 |
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|
2 | Data::Matrix6x J_RF(6, model.nv), J_LF(6, model.nv), J_RA(6, model.nv), J_LA(6, model.nv); |
| 1122 |
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2 | J_RF.setZero(); |
| 1123 |
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2 | getJointJacobian(model, data_ref, model.getJointId(RF), WORLD, J_RF); |
| 1124 |
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2 | J_LF.setZero(); |
| 1125 |
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2 | getJointJacobian(model, data_ref, model.getJointId(LF), LOCAL, J_LF); |
| 1126 |
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2 | J_RA.setZero(); |
| 1127 |
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2 | getJointJacobian(model, data_ref, model.getJointId(RA), LOCAL, J_RA); |
| 1128 |
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2 | J_LA.setZero(); |
| 1129 |
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2 | getJointJacobian(model, data_ref, model.getJointId(LA), LOCAL_WORLD_ALIGNED, J_LA); |
| 1130 | |||
| 1131 | 2 | const int constraint_dim = 15; | |
| 1132 | 2 | const int total_dim = model.nv + constraint_dim; | |
| 1133 | |||
| 1134 |
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2 | Data::MatrixXs H(total_dim, total_dim); |
| 1135 |
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2 | H.setZero(); |
| 1136 |
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2 | H.bottomRightCorner(model.nv, model.nv) = data_ref.M; |
| 1137 |
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2 | H.middleRows<6>(0).rightCols(model.nv) = -ci_RF.joint1_placement.toActionMatrix() * J_RF; |
| 1138 |
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2 | H.middleRows<3>(6).rightCols(model.nv) = |
| 1139 |
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4 | -data_ref.oMi[model.getJointId(LF)].rotation() * J_LF.middleRows<3>(Motion::LINEAR); |
| 1140 |
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2 | H.middleRows<3>(9).rightCols(model.nv) = |
| 1141 |
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4 | -data_ref.oMi[model.getJointId(RA)].rotation() * J_RA.middleRows<3>(Motion::LINEAR); |
| 1142 |
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2 | H.middleRows<3>(12).rightCols(model.nv) = -J_LA.middleRows<3>(Motion::LINEAR); |
| 1143 | |||
| 1144 |
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2 | H.triangularView<Eigen::StrictlyLower>() = H.triangularView<Eigen::StrictlyUpper>().transpose(); |
| 1145 | |||
| 1146 |
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2 | Data data(model); |
| 1147 |
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2 | crba(model, data, q, Convention::WORLD); |
| 1148 |
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2 | ContactCholeskyDecomposition contact_chol_decomposition; |
| 1149 |
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2 | contact_chol_decomposition.allocate(model, contact_models); |
| 1150 | |||
| 1151 |
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2 | contact_chol_decomposition.compute(model, data, contact_models, contact_datas); |
| 1152 | |||
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2 | data.M.triangularView<Eigen::StrictlyLower>() = |
| 1154 |
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4 | data.M.triangularView<Eigen::StrictlyUpper>().transpose(); |
| 1155 | |||
| 1156 |
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2 | BOOST_CHECK(data_ref.D.isApprox(contact_chol_decomposition.D.tail(model.nv))); |
| 1157 |
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2 | BOOST_CHECK(data_ref.Dinv.isApprox(contact_chol_decomposition.Dinv.tail(model.nv))); |
| 1158 |
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|
2 | BOOST_CHECK( |
| 1159 | data_ref.U.isApprox(contact_chol_decomposition.U.bottomRightCorner(model.nv, model.nv))); | ||
| 1160 | |||
| 1161 | Data::MatrixXs M_recomposed = | ||
| 1162 |
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2 | contact_chol_decomposition.U.bottomRightCorner(model.nv, model.nv) |
| 1163 |
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4 | * contact_chol_decomposition.D.tail(model.nv).asDiagonal() |
| 1164 |
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4 | * contact_chol_decomposition.U.bottomRightCorner(model.nv, model.nv).transpose(); |
| 1165 |
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|
2 | BOOST_CHECK(M_recomposed.isApprox(data.M)); |
| 1166 | |||
| 1167 | Data::MatrixXs H_recomposed = contact_chol_decomposition.U | ||
| 1168 |
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2 | * contact_chol_decomposition.D.asDiagonal() |
| 1169 |
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4 | * contact_chol_decomposition.U.transpose(); |
| 1170 | |||
| 1171 |
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|
2 | BOOST_CHECK(H_recomposed.bottomRightCorner(model.nv, model.nv).isApprox(data.M)); |
| 1172 |
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|
2 | BOOST_CHECK(H_recomposed.topRightCorner(constraint_dim, model.nv) |
| 1173 | .isApprox(H.topRightCorner(constraint_dim, model.nv))); | ||
| 1174 |
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|
2 | BOOST_CHECK(H_recomposed.isApprox(H)); |
| 1175 | |||
| 1176 | // test Operational Space Inertia Matrix | ||
| 1177 |
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2 | MatrixXd JMinvJt = H.middleRows<15>(0).rightCols(model.nv) * data_ref.M.inverse() |
| 1178 |
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4 | * H.middleRows<15>(0).rightCols(model.nv).transpose(); |
| 1179 |
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2 | MatrixXd iosim = contact_chol_decomposition.getInverseOperationalSpaceInertiaMatrix(); |
| 1180 |
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2 | MatrixXd osim = contact_chol_decomposition.getOperationalSpaceInertiaMatrix(); |
| 1181 | |||
| 1182 |
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|
2 | BOOST_CHECK(iosim.isApprox(JMinvJt)); |
| 1183 |
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|
2 | BOOST_CHECK(osim.isApprox(JMinvJt.inverse())); |
| 1184 | |||
| 1185 | // test Mass matrix cholesky | ||
| 1186 |
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2 | data_ref.Minv = data_ref.M.inverse(); |
| 1187 |
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2 | Eigen::MatrixXd Minv_test(Eigen::MatrixXd::Zero(model.nv, model.nv)); |
| 1188 |
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2 | contact_chol_decomposition.getInverseMassMatrix(Minv_test); |
| 1189 | |||
| 1190 |
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2 | BOOST_CHECK(Minv_test.isApprox(data_ref.Minv)); |
| 1191 |
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2 | Eigen::MatrixXd JMinv_test(Eigen::MatrixXd::Zero(15, model.nv)); |
| 1192 |
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2 | contact_chol_decomposition.getJMinv(JMinv_test); |
| 1193 |
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2 | MatrixXd JMinv_ref = H.middleRows<15>(0).rightCols(model.nv) * data_ref.M.inverse(); |
| 1194 |
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|
2 | BOOST_CHECK(JMinv_ref.isApprox(JMinv_test)); |
| 1195 | 2 | } | |
| 1196 | |||
| 1197 |
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|
4 | BOOST_AUTO_TEST_CASE(loop_contact_cholesky_contact6D) |
| 1198 | { | ||
| 1199 | using namespace Eigen; | ||
| 1200 | using namespace pinocchio; | ||
| 1201 | using namespace pinocchio::cholesky; | ||
| 1202 | |||
| 1203 |
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2 | pinocchio::Model model; |
| 1204 |
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2 | pinocchio::buildModels::humanoidRandom(model, true); |
| 1205 |
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2 | pinocchio::Data data_ref(model); |
| 1206 | |||
| 1207 |
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2 | model.lowerPositionLimit.head<3>().fill(-1.); |
| 1208 |
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2 | model.upperPositionLimit.head<3>().fill(1.); |
| 1209 |
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2 | VectorXd q = randomConfiguration(model); |
| 1210 | |||
| 1211 |
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2 | const std::string RF = "rleg6_joint"; |
| 1212 |
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2 | const std::string LF = "lleg6_joint"; |
| 1213 |
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2 | const std::string RA = "rarm6_joint"; |
| 1214 |
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2 | const std::string LA = "larm6_joint"; |
| 1215 | |||
| 1216 |
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2 | PINOCCHIO_STD_VECTOR_WITH_EIGEN_ALLOCATOR(RigidConstraintModel) contact_models; |
| 1217 |
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2 | PINOCCHIO_STD_VECTOR_WITH_EIGEN_ALLOCATOR(RigidConstraintData) contact_datas; |
| 1218 | RigidConstraintModel loop_RF_LF_local( | ||
| 1219 |
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|
2 | CONTACT_6D, model, model.getJointId(RF), model.getJointId(LF), LOCAL); |
| 1220 | RigidConstraintModel loop_RA_LA_lwa( | ||
| 1221 |
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|
2 | CONTACT_6D, model, model.getJointId(RA), model.getJointId(LA), LOCAL_WORLD_ALIGNED); |
| 1222 | |||
| 1223 |
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2 | loop_RF_LF_local.joint1_placement.setRandom(); |
| 1224 |
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2 | loop_RF_LF_local.joint2_placement.setRandom(); |
| 1225 | |||
| 1226 |
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2 | loop_RA_LA_lwa.joint1_placement.setRandom(); |
| 1227 |
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2 | loop_RA_LA_lwa.joint2_placement.setRandom(); |
| 1228 | |||
| 1229 |
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2 | contact_models.push_back(loop_RF_LF_local); |
| 1230 |
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2 | contact_datas.push_back(RigidConstraintData(loop_RF_LF_local)); |
| 1231 | |||
| 1232 |
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2 | contact_models.push_back(loop_RA_LA_lwa); |
| 1233 |
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2 | contact_datas.push_back(RigidConstraintData(loop_RA_LA_lwa)); |
| 1234 | |||
| 1235 | // Compute Mass Matrix | ||
| 1236 |
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2 | crba(model, data_ref, q, Convention::WORLD); |
| 1237 |
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2 | data_ref.M.triangularView<Eigen::StrictlyLower>() = |
| 1238 |
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|
4 | data_ref.M.triangularView<Eigen::StrictlyUpper>().transpose(); |
| 1239 | |||
| 1240 | // Compute Cholesky decomposition | ||
| 1241 | 2 | const double mu = 0.1; | |
| 1242 |
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2 | pinocchio::cholesky::decompose(model, data_ref); |
| 1243 | |||
| 1244 | // Compute Jacobians | ||
| 1245 |
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2 | Data::Matrix6x J_RF(6, model.nv), J_LF(6, model.nv), J_RA_local(6, model.nv), |
| 1246 |
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2 | J_LA_local(6, model.nv); |
| 1247 |
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2 | J_RF.setZero(); |
| 1248 |
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2 | getJointJacobian(model, data_ref, model.getJointId(RF), LOCAL, J_RF); |
| 1249 |
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2 | Data::Matrix6x J_RF_local = loop_RF_LF_local.joint1_placement.toActionMatrixInverse() * J_RF; |
| 1250 |
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2 | J_LF.setZero(); |
| 1251 |
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2 | getJointJacobian(model, data_ref, model.getJointId(LF), LOCAL, J_LF); |
| 1252 |
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2 | Data::Matrix6x J_LF_local = loop_RF_LF_local.joint2_placement.toActionMatrixInverse() * J_LF; |
| 1253 |
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2 | J_RA_local.setZero(); |
| 1254 |
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2 | getJointJacobian(model, data_ref, model.getJointId(RA), LOCAL, J_RA_local); |
| 1255 |
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2 | J_RA_local = loop_RA_LA_lwa.joint1_placement.toActionMatrixInverse() * J_RA_local; |
| 1256 |
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2 | J_LA_local.setZero(); |
| 1257 |
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2 | getJointJacobian(model, data_ref, model.getJointId(LA), LOCAL, J_LA_local); |
| 1258 |
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2 | J_LA_local = loop_RA_LA_lwa.joint2_placement.toActionMatrixInverse() * J_LA_local; |
| 1259 | |||
| 1260 |
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2 | Data::Matrix6x J_RF_world(6, model.nv), J_LF_world(6, model.nv); |
| 1261 |
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2 | J_RF_world.setZero(); |
| 1262 |
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2 | getJointJacobian(model, data_ref, model.getJointId(RF), WORLD, J_RF_world); |
| 1263 |
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|
2 | J_LF_world.setZero(); |
| 1264 |
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|
2 | getJointJacobian(model, data_ref, model.getJointId(LF), WORLD, J_LF_world); |
| 1265 | |||
| 1266 |
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|
2 | forwardKinematics(model, data_ref, q); |
| 1267 | const SE3 oM1_loop1 = | ||
| 1268 |
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2 | data_ref.oMi[loop_RF_LF_local.joint1_id] * loop_RF_LF_local.joint1_placement; |
| 1269 | const SE3 oM2_loop1 = | ||
| 1270 |
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2 | data_ref.oMi[loop_RF_LF_local.joint2_id] * loop_RF_LF_local.joint2_placement; |
| 1271 |
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2 | const SE3 _1M2_loop1 = oM1_loop1.inverse() * oM2_loop1; |
| 1272 |
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2 | const SE3 oM1_loop2 = data_ref.oMi[loop_RA_LA_lwa.joint1_id] * loop_RA_LA_lwa.joint1_placement; |
| 1273 |
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2 | const SE3 oM2_loop2 = data_ref.oMi[loop_RA_LA_lwa.joint2_id] * loop_RA_LA_lwa.joint2_placement; |
| 1274 |
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2 | const SE3 _1M2_loop2 = oM1_loop2.inverse() * oM2_loop2; |
| 1275 | |||
| 1276 | 2 | const int constraint_dim = 12; | |
| 1277 | 2 | const int total_dim = model.nv + constraint_dim; | |
| 1278 | |||
| 1279 |
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2 | Data::MatrixXs H(total_dim, total_dim); |
| 1280 |
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2 | H.setZero(); |
| 1281 |
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2 | H.topLeftCorner(constraint_dim, constraint_dim).diagonal().fill(-mu); |
| 1282 |
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2 | H.bottomRightCorner(model.nv, model.nv) = data_ref.M; |
| 1283 |
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2 | H.middleRows<6>(0).rightCols(model.nv) = J_RF_local - _1M2_loop1.toActionMatrix() * J_LF_local; |
| 1284 |
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2 | const SE3 oM1_loop2_lwa = SE3(oM1_loop2.rotation(), SE3::Vector3::Zero()); |
| 1285 |
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2 | H.middleRows<6>(6).rightCols(model.nv) = |
| 1286 |
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2 | oM1_loop2_lwa.toActionMatrix() * J_RA_local |
| 1287 |
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|
6 | - (oM1_loop2_lwa.toActionMatrix() * _1M2_loop2.toActionMatrix()) * J_LA_local; |
| 1288 | |||
| 1289 |
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|
2 | H.triangularView<Eigen::StrictlyLower>() = H.triangularView<Eigen::StrictlyUpper>().transpose(); |
| 1290 | |||
| 1291 |
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|
2 | Data data(model); |
| 1292 |
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|
2 | crba(model, data, q, Convention::WORLD); |
| 1293 |
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|
2 | ContactCholeskyDecomposition contact_chol_decomposition; |
| 1294 |
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2 | contact_chol_decomposition.allocate(model, contact_models); |
| 1295 |
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|
2 | contact_chol_decomposition.compute(model, data, contact_models, contact_datas, mu); |
| 1296 | |||
| 1297 |
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|
2 | Data::MatrixXs H_recomposed = contact_chol_decomposition.matrix(); |
| 1298 | |||
| 1299 |
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|
2 | data.M.triangularView<Eigen::StrictlyLower>() = |
| 1300 |
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4 | data.M.triangularView<Eigen::StrictlyUpper>().transpose(); |
| 1301 |
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|
2 | BOOST_CHECK(H_recomposed.bottomRightCorner(model.nv, model.nv).isApprox(data.M)); |
| 1302 |
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|
2 | BOOST_CHECK(H_recomposed.topRightCorner(constraint_dim, model.nv) |
| 1303 | .isApprox(H.topRightCorner(constraint_dim, model.nv))); | ||
| 1304 |
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|
2 | BOOST_CHECK(H_recomposed.isApprox(H)); |
| 1305 | |||
| 1306 | // inverse | ||
| 1307 |
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2 | MatrixXd H_inv(contact_chol_decomposition.size(), contact_chol_decomposition.size()); |
| 1308 |
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2 | contact_chol_decomposition.inverse(H_inv); |
| 1309 | |||
| 1310 |
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2 | MatrixXd H_inv_ref = H_recomposed.inverse(); |
| 1311 | |||
| 1312 |
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|
2 | BOOST_CHECK(H_inv_ref.isApprox(H_inv)); |
| 1313 | |||
| 1314 | // test Operational Space Inertia Matrix | ||
| 1315 |
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|
2 | MatrixXd JMinvJt = H.middleRows<12>(0).rightCols(model.nv) * data_ref.M.inverse() |
| 1316 |
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|
4 | * H.middleRows<12>(0).rightCols(model.nv).transpose() |
| 1317 |
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|
4 | + mu * Eigen::MatrixXd::Identity(12, 12); |
| 1318 |
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2 | MatrixXd iosim = contact_chol_decomposition.getInverseOperationalSpaceInertiaMatrix(); |
| 1319 |
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2 | MatrixXd osim = contact_chol_decomposition.getOperationalSpaceInertiaMatrix(); |
| 1320 | |||
| 1321 |
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|
2 | BOOST_CHECK(iosim.isApprox(JMinvJt)); |
| 1322 |
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|
2 | BOOST_CHECK(osim.isApprox(JMinvJt.inverse())); |
| 1323 | |||
| 1324 | // test Mass matrix cholesky | ||
| 1325 |
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2 | data_ref.Minv = data_ref.M.inverse(); |
| 1326 |
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2 | Eigen::MatrixXd Minv_test(Eigen::MatrixXd::Zero(model.nv, model.nv)); |
| 1327 |
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2 | contact_chol_decomposition.getInverseMassMatrix(Minv_test); |
| 1328 | |||
| 1329 |
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|
2 | BOOST_CHECK(Minv_test.isApprox(data_ref.Minv)); |
| 1330 |
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2 | Eigen::MatrixXd JMinv_test(Eigen::MatrixXd::Zero(12, model.nv)); |
| 1331 |
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2 | contact_chol_decomposition.getJMinv(JMinv_test); |
| 1332 |
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2 | MatrixXd JMinv_ref = H.middleRows<12>(0).rightCols(model.nv) * data_ref.M.inverse(); |
| 1333 |
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2 | BOOST_CHECK(JMinv_ref.isApprox(JMinv_test)); |
| 1334 | 2 | } | |
| 1335 | |||
| 1336 |
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|
4 | BOOST_AUTO_TEST_CASE(loop_contact_cholesky_contact_3d) |
| 1337 | { | ||
| 1338 | using namespace Eigen; | ||
| 1339 | using namespace pinocchio; | ||
| 1340 | using namespace pinocchio::cholesky; | ||
| 1341 | |||
| 1342 |
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2 | pinocchio::Model model; |
| 1343 |
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2 | pinocchio::buildModels::humanoidRandom(model, true); |
| 1344 |
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2 | pinocchio::Data data_ref(model); |
| 1345 | |||
| 1346 |
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2 | model.lowerPositionLimit.head<3>().fill(-1.); |
| 1347 |
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2 | model.upperPositionLimit.head<3>().fill(1.); |
| 1348 |
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2 | VectorXd q = randomConfiguration(model); |
| 1349 | |||
| 1350 |
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|
2 | const std::string RF = "rleg6_joint"; |
| 1351 |
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2 | const std::string LF = "lleg6_joint"; |
| 1352 |
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2 | const std::string RA = "rarm6_joint"; |
| 1353 |
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2 | const std::string LA = "larm6_joint"; |
| 1354 | |||
| 1355 |
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2 | PINOCCHIO_STD_VECTOR_WITH_EIGEN_ALLOCATOR(RigidConstraintModel) contact_models; |
| 1356 |
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2 | PINOCCHIO_STD_VECTOR_WITH_EIGEN_ALLOCATOR(RigidConstraintData) contact_datas; |
| 1357 | RigidConstraintModel loop_RF_LF_local( | ||
| 1358 |
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|
2 | CONTACT_3D, model, model.getJointId(RF), model.getJointId(LF), LOCAL); |
| 1359 | RigidConstraintModel loop_RA_LA_lwa( | ||
| 1360 |
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|
2 | CONTACT_3D, model, model.getJointId(RA), model.getJointId(LA), LOCAL_WORLD_ALIGNED); |
| 1361 | |||
| 1362 |
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2 | loop_RF_LF_local.joint1_placement.setRandom(); |
| 1363 |
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2 | loop_RF_LF_local.joint2_placement.setRandom(); |
| 1364 | |||
| 1365 |
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2 | loop_RA_LA_lwa.joint1_placement.setRandom(); |
| 1366 |
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2 | loop_RA_LA_lwa.joint2_placement.setRandom(); |
| 1367 | |||
| 1368 |
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2 | contact_models.push_back(loop_RF_LF_local); |
| 1369 |
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|
2 | contact_datas.push_back(RigidConstraintData(loop_RF_LF_local)); |
| 1370 | |||
| 1371 |
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2 | contact_models.push_back(loop_RA_LA_lwa); |
| 1372 |
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2 | contact_datas.push_back(RigidConstraintData(loop_RA_LA_lwa)); |
| 1373 | |||
| 1374 | // Compute Mass Matrix | ||
| 1375 |
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2 | crba(model, data_ref, q, Convention::WORLD); |
| 1376 |
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2 | data_ref.M.triangularView<Eigen::StrictlyLower>() = |
| 1377 |
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4 | data_ref.M.triangularView<Eigen::StrictlyUpper>().transpose(); |
| 1378 | |||
| 1379 | // Compute Cholesky decomposition | ||
| 1380 | 2 | const double mu = 0.1; | |
| 1381 |
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2 | pinocchio::cholesky::decompose(model, data_ref); |
| 1382 | |||
| 1383 | // Compute Jacobians | ||
| 1384 |
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2 | Data::Matrix6x J_RF(6, model.nv), J_LF(6, model.nv), J_RA_local(6, model.nv), |
| 1385 |
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2 | J_LA_local(6, model.nv); |
| 1386 |
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2 | J_RF.setZero(); |
| 1387 |
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2 | getJointJacobian(model, data_ref, model.getJointId(RF), LOCAL, J_RF); |
| 1388 | const Data::Matrix6x J_RF_local = | ||
| 1389 |
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2 | loop_RF_LF_local.joint1_placement.toActionMatrixInverse() * J_RF; |
| 1390 |
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2 | J_LF.setZero(); |
| 1391 |
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2 | getJointJacobian(model, data_ref, model.getJointId(LF), LOCAL, J_LF); |
| 1392 | const Data::Matrix6x J_LF_local = | ||
| 1393 |
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2 | loop_RF_LF_local.joint2_placement.toActionMatrixInverse() * J_LF; |
| 1394 |
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2 | J_RA_local.setZero(); |
| 1395 |
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2 | getJointJacobian(model, data_ref, model.getJointId(RA), LOCAL, J_RA_local); |
| 1396 |
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2 | J_RA_local = loop_RA_LA_lwa.joint1_placement.toActionMatrixInverse() * J_RA_local; |
| 1397 |
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2 | J_LA_local.setZero(); |
| 1398 |
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|
2 | getJointJacobian(model, data_ref, model.getJointId(LA), LOCAL, J_LA_local); |
| 1399 |
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2 | J_LA_local = loop_RA_LA_lwa.joint2_placement.toActionMatrixInverse() * J_LA_local; |
| 1400 | |||
| 1401 |
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2 | Data::Matrix6x J_RF_world(6, model.nv), J_LF_world(6, model.nv); |
| 1402 |
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2 | J_RF_world.setZero(); |
| 1403 |
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2 | getJointJacobian(model, data_ref, model.getJointId(RF), WORLD, J_RF_world); |
| 1404 |
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2 | J_LF_world.setZero(); |
| 1405 |
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2 | getJointJacobian(model, data_ref, model.getJointId(LF), WORLD, J_LF_world); |
| 1406 | |||
| 1407 |
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2 | forwardKinematics(model, data_ref, q); |
| 1408 | const SE3 oM1_loop1 = | ||
| 1409 |
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2 | data_ref.oMi[loop_RF_LF_local.joint1_id] * loop_RF_LF_local.joint1_placement; |
| 1410 | const SE3 oM2_loop1 = | ||
| 1411 |
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2 | data_ref.oMi[loop_RF_LF_local.joint2_id] * loop_RF_LF_local.joint2_placement; |
| 1412 |
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2 | const SE3 _1M2_loop1 = oM1_loop1.inverse() * oM2_loop1; |
| 1413 |
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2 | const SE3 oM1_loop2 = data_ref.oMi[loop_RA_LA_lwa.joint1_id] * loop_RA_LA_lwa.joint1_placement; |
| 1414 |
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2 | const SE3 oM2_loop2 = data_ref.oMi[loop_RA_LA_lwa.joint2_id] * loop_RA_LA_lwa.joint2_placement; |
| 1415 |
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2 | const SE3 _1M2_loop2 = oM1_loop2.inverse() * oM2_loop2; |
| 1416 | |||
| 1417 | 2 | const int constraint_dim = 6; | |
| 1418 | 2 | const int total_dim = model.nv + constraint_dim; | |
| 1419 | |||
| 1420 |
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2 | Data::MatrixXs H(total_dim, total_dim); |
| 1421 |
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2 | H.setZero(); |
| 1422 |
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2 | H.topLeftCorner(constraint_dim, constraint_dim).diagonal().fill(-mu); |
| 1423 |
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2 | H.bottomRightCorner(model.nv, model.nv) = data_ref.M; |
| 1424 |
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2 | H.middleRows<3>(0).rightCols(model.nv) = |
| 1425 |
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2 | J_RF_local.middleRows<3>(Motion::LINEAR) |
| 1426 |
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6 | - _1M2_loop1.rotation() * J_LF_local.middleRows<3>(Motion::LINEAR); |
| 1427 |
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2 | const SE3 oM1_loop2_lwa = SE3(oM1_loop2.rotation(), SE3::Vector3::Zero()); |
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2 | const SE3 oM2_loop2_lwa = SE3(oM2_loop2.rotation(), SE3::Vector3::Zero()); |
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2 | H.middleRows<3>(3).rightCols(model.nv) = |
| 1430 |
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2 | (oM1_loop2_lwa.toActionMatrix() * J_RA_local - (oM2_loop2_lwa.toActionMatrix()) * J_LA_local) |
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4 | .middleRows<3>(Motion::LINEAR); |
| 1432 | |||
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2 | H.triangularView<Eigen::StrictlyLower>() = H.triangularView<Eigen::StrictlyUpper>().transpose(); |
| 1434 | |||
| 1435 |
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2 | Data data(model); |
| 1436 |
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2 | crba(model, data, q, Convention::WORLD); |
| 1437 |
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2 | ContactCholeskyDecomposition contact_chol_decomposition; |
| 1438 |
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2 | contact_chol_decomposition.allocate(model, contact_models); |
| 1439 |
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2 | contact_chol_decomposition.compute(model, data, contact_models, contact_datas, mu); |
| 1440 |
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2 | BOOST_CHECK(contact_datas[0].c1Mc2.isApprox(_1M2_loop1)); |
| 1441 |
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2 | BOOST_CHECK(contact_datas[1].c1Mc2.isApprox(_1M2_loop2)); |
| 1442 | |||
| 1443 |
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2 | Data::MatrixXs H_recomposed = contact_chol_decomposition.matrix(); |
| 1444 | |||
| 1445 |
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2 | data.M.triangularView<Eigen::StrictlyLower>() = |
| 1446 |
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4 | data.M.triangularView<Eigen::StrictlyUpper>().transpose(); |
| 1447 |
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2 | BOOST_CHECK(H_recomposed.bottomRightCorner(model.nv, model.nv).isApprox(data.M)); |
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|
2 | BOOST_CHECK(H_recomposed.topRightCorner(constraint_dim, model.nv) |
| 1449 | .isApprox(H.topRightCorner(constraint_dim, model.nv))); | ||
| 1450 |
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|
2 | BOOST_CHECK(H_recomposed.isApprox(H)); |
| 1451 | |||
| 1452 | // std::cout << "H_recomposed.topRightCorner(constraint_dim,model.nv):\n" << | ||
| 1453 | // H_recomposed.topRightCorner(constraint_dim,model.nv) << std::endl; std::cout << | ||
| 1454 | // "H.topRightCorner(constraint_dim,model.nv):\n" << H .topRightCorner(constraint_dim,model.nv) | ||
| 1455 | // << std::endl; | ||
| 1456 | |||
| 1457 | // inverse | ||
| 1458 |
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2 | MatrixXd H_inv(contact_chol_decomposition.size(), contact_chol_decomposition.size()); |
| 1459 |
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2 | contact_chol_decomposition.inverse(H_inv); |
| 1460 | |||
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2 | MatrixXd H_inv_ref = H_recomposed.inverse(); |
| 1462 | |||
| 1463 |
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2 | BOOST_CHECK(H_inv_ref.isApprox(H_inv)); |
| 1464 | |||
| 1465 | // test Operational Space Inertia Matrix | ||
| 1466 |
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2 | MatrixXd JMinvJt = H.middleRows<6>(0).rightCols(model.nv) * data_ref.M.inverse() |
| 1467 |
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4 | * H.middleRows<6>(0).rightCols(model.nv).transpose() |
| 1468 |
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4 | + mu * Eigen::MatrixXd::Identity(6, 6); |
| 1469 |
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2 | MatrixXd iosim = contact_chol_decomposition.getInverseOperationalSpaceInertiaMatrix(); |
| 1470 |
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2 | MatrixXd osim = contact_chol_decomposition.getOperationalSpaceInertiaMatrix(); |
| 1471 | |||
| 1472 |
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2 | BOOST_CHECK(iosim.isApprox(JMinvJt)); |
| 1473 |
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2 | BOOST_CHECK(osim.isApprox(JMinvJt.inverse())); |
| 1474 | |||
| 1475 | // test Mass matrix cholesky | ||
| 1476 |
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2 | data_ref.Minv = data_ref.M.inverse(); |
| 1477 |
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2 | Eigen::MatrixXd Minv_test(Eigen::MatrixXd::Zero(model.nv, model.nv)); |
| 1478 |
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2 | contact_chol_decomposition.getInverseMassMatrix(Minv_test); |
| 1479 | |||
| 1480 |
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2 | Eigen::MatrixXd JMinv_test(Eigen::MatrixXd::Zero(6, model.nv)); |
| 1481 |
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2 | contact_chol_decomposition.getJMinv(JMinv_test); |
| 1482 |
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2 | MatrixXd JMinv_ref = H.middleRows<6>(0).rightCols(model.nv) * data_ref.M.inverse(); |
| 1483 |
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2 | BOOST_CHECK(JMinv_ref.isApprox(JMinv_test)); |
| 1484 |
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2 | BOOST_CHECK(Minv_test.isApprox(data_ref.Minv)); |
| 1485 | 2 | } | |
| 1486 | |||
| 1487 |
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|
4 | BOOST_AUTO_TEST_CASE(contact_cholesky_updateDamping) |
| 1488 | { | ||
| 1489 | using namespace Eigen; | ||
| 1490 | using namespace pinocchio; | ||
| 1491 | using namespace pinocchio::cholesky; | ||
| 1492 | |||
| 1493 |
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2 | pinocchio::Model model; |
| 1494 |
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2 | pinocchio::buildModels::humanoidRandom(model, true); |
| 1495 |
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2 | pinocchio::Data data_ref(model); |
| 1496 | |||
| 1497 |
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2 | model.lowerPositionLimit.head<3>().fill(-1.); |
| 1498 |
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2 | model.upperPositionLimit.head<3>().fill(1.); |
| 1499 |
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2 | VectorXd q = randomConfiguration(model); |
| 1500 | |||
| 1501 |
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2 | const std::string RF = "rleg6_joint"; |
| 1502 |
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2 | const std::string LF = "lleg6_joint"; |
| 1503 | |||
| 1504 |
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2 | PINOCCHIO_STD_VECTOR_WITH_EIGEN_ALLOCATOR(RigidConstraintModel) contact_models; |
| 1505 |
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2 | PINOCCHIO_STD_VECTOR_WITH_EIGEN_ALLOCATOR(RigidConstraintData) contact_datas; |
| 1506 |
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2 | RigidConstraintModel ci_RF(CONTACT_6D, model, model.getJointId(RF), LOCAL); |
| 1507 |
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2 | contact_models.push_back(ci_RF); |
| 1508 |
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2 | contact_datas.push_back(RigidConstraintData(ci_RF)); |
| 1509 |
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2 | RigidConstraintModel ci_LF(CONTACT_6D, model, model.getJointId(LF), LOCAL); |
| 1510 |
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2 | contact_models.push_back(ci_LF); |
| 1511 |
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2 | contact_datas.push_back(RigidConstraintData(ci_LF)); |
| 1512 | |||
| 1513 |
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2 | Data data(model); |
| 1514 |
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2 | crba(model, data, q, Convention::WORLD); |
| 1515 | |||
| 1516 | 2 | const double mu1 = 1e-2, mu2 = 1e-10; | |
| 1517 | |||
| 1518 | { | ||
| 1519 |
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2 | ContactCholeskyDecomposition contact_chol_decomposition; |
| 1520 |
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2 | contact_chol_decomposition.allocate(model, contact_models); |
| 1521 |
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2 | contact_chol_decomposition.compute(model, data, contact_models, contact_datas, mu1); |
| 1522 |
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2 | contact_chol_decomposition.updateDamping(mu2); |
| 1523 | |||
| 1524 |
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2 | ContactCholeskyDecomposition contact_chol_decomposition_ref; |
| 1525 |
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2 | contact_chol_decomposition_ref.allocate(model, contact_models); |
| 1526 |
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2 | contact_chol_decomposition_ref.compute(model, data, contact_models, contact_datas, mu2); |
| 1527 | |||
| 1528 |
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2 | BOOST_CHECK(contact_chol_decomposition.D.isApprox(contact_chol_decomposition_ref.D)); |
| 1529 |
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2 | BOOST_CHECK(contact_chol_decomposition.Dinv.isApprox(contact_chol_decomposition_ref.Dinv)); |
| 1530 |
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2 | BOOST_CHECK(contact_chol_decomposition.U.isApprox(contact_chol_decomposition_ref.U)); |
| 1531 | 2 | } | |
| 1532 | |||
| 1533 | { | ||
| 1534 |
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2 | ContactCholeskyDecomposition contact_chol_decomposition; |
| 1535 |
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2 | contact_chol_decomposition.allocate(model, contact_models); |
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2 | contact_chol_decomposition.compute(model, data, contact_models, contact_datas, mu1); |
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2 | contact_chol_decomposition.getDelassusCholeskyExpression().updateDamping(mu2); |
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2 | ContactCholeskyDecomposition contact_chol_decomposition_ref; |
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2 | contact_chol_decomposition_ref.allocate(model, contact_models); |
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2 | contact_chol_decomposition_ref.compute(model, data, contact_models, contact_datas, mu2); |
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2 | BOOST_CHECK(contact_chol_decomposition.D.isApprox(contact_chol_decomposition_ref.D)); |
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2 | BOOST_CHECK(contact_chol_decomposition.Dinv.isApprox(contact_chol_decomposition_ref.Dinv)); |
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2 | BOOST_CHECK(contact_chol_decomposition.U.isApprox(contact_chol_decomposition_ref.U)); |
| 1546 | 2 | } | |
| 1547 | 2 | } | |
| 1548 | |||
| 1549 | BOOST_AUTO_TEST_SUITE_END() | ||
| 1550 |