| Directory: | ./ |
|---|---|
| File: | unittest/rnea-second-order-derivatives.cpp |
| Date: | 2025-02-12 21:03:38 |
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| Lines: | 147 | 147 | 100.0% |
| Branches: | 334 | 644 | 51.9% |
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| 1 | // | ||
| 2 | // Copyright (c) 2017-2020 CNRS INRIA | ||
| 3 | // | ||
| 4 | |||
| 5 | #include "pinocchio/multibody/model.hpp" | ||
| 6 | #include "pinocchio/multibody/data.hpp" | ||
| 7 | #include "pinocchio/algorithm/jacobian.hpp" | ||
| 8 | #include "pinocchio/algorithm/joint-configuration.hpp" | ||
| 9 | #include "pinocchio/algorithm/rnea-second-order-derivatives.hpp" | ||
| 10 | #include "pinocchio/algorithm/rnea-derivatives.hpp" | ||
| 11 | #include "pinocchio/multibody/sample-models.hpp" | ||
| 12 | |||
| 13 | #include <iostream> | ||
| 14 | |||
| 15 | #include <boost/test/unit_test.hpp> | ||
| 16 | #include <boost/utility/binary.hpp> | ||
| 17 | |||
| 18 | BOOST_AUTO_TEST_SUITE(BOOST_TEST_MODULE) | ||
| 19 | |||
| 20 |
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4 | BOOST_AUTO_TEST_CASE(test_rnea_derivatives_SO) |
| 21 | { | ||
| 22 | using namespace Eigen; | ||
| 23 | using namespace pinocchio; | ||
| 24 | |||
| 25 |
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2 | Model model; |
| 26 |
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2 | buildModels::humanoidRandom(model); |
| 27 | |||
| 28 |
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2 | Data data(model), data_fd(model); |
| 29 | |||
| 30 |
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2 | model.lowerPositionLimit.head<3>().fill(-1.); |
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2 | model.upperPositionLimit.head<3>().fill(1.); |
| 32 | |||
| 33 |
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2 | VectorXd q = randomConfiguration(model); |
| 34 |
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2 | VectorXd v(VectorXd::Random(model.nv)); |
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2 | VectorXd a(VectorXd::Random(model.nv)); |
| 36 | |||
| 37 | // check with only q non-zero | ||
| 38 |
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2 | Data::Tensor3x dtau2_dq(model.nv, model.nv, model.nv); |
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2 | Data::Tensor3x dtau2_dv(model.nv, model.nv, model.nv); |
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2 | Data::Tensor3x dtau2_dqdv(model.nv, model.nv, model.nv); |
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2 | Data::Tensor3x dtau2_dadq(model.nv, model.nv, model.nv); |
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2 | dtau2_dq.setZero(); |
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2 | dtau2_dv.setZero(); |
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2 | dtau2_dqdv.setZero(); |
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2 | dtau2_dadq.setZero(); |
| 46 | |||
| 47 |
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2 | ComputeRNEASecondOrderDerivatives( |
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2 | model, data, q, VectorXd::Zero(model.nv), VectorXd::Zero(model.nv), dtau2_dq, dtau2_dv, |
| 49 | dtau2_dqdv, dtau2_dadq); | ||
| 50 | |||
| 51 |
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2 | Data::Tensor3x dtau2_dq_fd(model.nv, model.nv, model.nv); |
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2 | Data::Tensor3x dtau2_dv_fd(model.nv, model.nv, model.nv); |
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2 | Data::Tensor3x dtau2_dqdv_fd(model.nv, model.nv, model.nv); |
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2 | Data::Tensor3x dtau2_dadq_fd(model.nv, model.nv, model.nv); |
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2 | dtau2_dq_fd.setZero(); |
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2 | dtau2_dv_fd.setZero(); |
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2 | dtau2_dqdv_fd.setZero(); |
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2 | dtau2_dadq_fd.setZero(); |
| 59 | |||
| 60 |
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2 | MatrixXd drnea_dq_plus(MatrixXd::Zero(model.nv, model.nv)); |
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2 | MatrixXd drnea_dv_plus(MatrixXd::Zero(model.nv, model.nv)); |
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2 | MatrixXd drnea_da_plus(MatrixXd::Zero(model.nv, model.nv)); |
| 63 | |||
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2 | MatrixXd temp1(MatrixXd::Zero(model.nv, model.nv)); |
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2 | MatrixXd temp2(MatrixXd::Zero(model.nv, model.nv)); |
| 66 | |||
| 67 |
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2 | VectorXd v_eps(VectorXd::Zero(model.nv)); |
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2 | VectorXd q_plus(model.nq); |
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2 | VectorXd v_plus(model.nv); |
| 70 | |||
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2 | MatrixXd rnea_partial_dq(MatrixXd::Zero(model.nv, model.nv)); |
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2 | MatrixXd rnea_partial_dv(MatrixXd::Zero(model.nv, model.nv)); |
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2 | MatrixXd rnea_partial_da(MatrixXd::Zero(model.nv, model.nv)); |
| 74 | |||
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2 | computeRNEADerivatives( |
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2 | model, data, q, VectorXd::Zero(model.nv), VectorXd::Zero(model.nv), rnea_partial_dq, |
| 77 | rnea_partial_dv, rnea_partial_da); | ||
| 78 | |||
| 79 | 2 | const double alpha = 1e-7; | |
| 80 | |||
| 81 |
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66 | for (int k = 0; k < model.nv; ++k) |
| 82 | { | ||
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64 | v_eps[k] += alpha; |
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64 | q_plus = integrate(model, q, v_eps); |
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64 | computeRNEADerivatives( |
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64 | model, data_fd, q_plus, VectorXd::Zero(model.nv), VectorXd::Zero(model.nv), drnea_dq_plus, |
| 87 | drnea_dv_plus, drnea_da_plus); | ||
| 88 |
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64 | temp1 = (drnea_dq_plus - rnea_partial_dq) / alpha; |
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2112 | for (int ii = 0; ii < model.nv; ii++) |
| 90 | { | ||
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67584 | for (int jj = 0; jj < model.nv; jj++) |
| 92 | { | ||
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65536 | dtau2_dq_fd(jj, ii, k) = temp1(jj, ii); |
| 94 | } | ||
| 95 | } | ||
| 96 |
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64 | v_eps[k] -= alpha; |
| 97 | } | ||
| 98 | |||
| 99 |
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2 | Map<VectorXd> mq(dtau2_dq.data(), dtau2_dq.size()); |
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2 | Map<VectorXd> mq_fd(dtau2_dq_fd.data(), dtau2_dq_fd.size()); |
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2 | BOOST_CHECK(mq.isApprox(mq_fd, sqrt(alpha))); |
| 102 | |||
| 103 | // Check with q and a non zero | ||
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2 | dtau2_dq.setZero(); |
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2 | dtau2_dv.setZero(); |
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2 | dtau2_dqdv.setZero(); |
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2 | dtau2_dadq.setZero(); |
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2 | ComputeRNEASecondOrderDerivatives( |
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2 | model, data, q, VectorXd::Zero(model.nv), a, dtau2_dq, dtau2_dv, dtau2_dqdv, dtau2_dadq); |
| 110 | |||
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2 | rnea_partial_dq.setZero(); |
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2 | rnea_partial_dv.setZero(); |
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2 | rnea_partial_da.setZero(); |
| 114 | |||
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2 | dtau2_dq_fd.setZero(); |
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2 | dtau2_dadq_fd.setZero(); |
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2 | drnea_dq_plus.setZero(); |
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2 | drnea_dv_plus.setZero(); |
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2 | drnea_da_plus.setZero(); |
| 120 | |||
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2 | computeRNEADerivatives( |
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2 | model, data, q, VectorXd::Zero(model.nv), a, rnea_partial_dq, rnea_partial_dv, rnea_partial_da); |
| 123 | |||
| 124 |
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66 | for (int k = 0; k < model.nv; ++k) |
| 125 | { | ||
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64 | v_eps[k] += alpha; |
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64 | q_plus = integrate(model, q, v_eps); |
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64 | computeRNEADerivatives( |
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64 | model, data_fd, q_plus, VectorXd::Zero(model.nv), a, drnea_dq_plus, drnea_dv_plus, |
| 130 | drnea_da_plus); | ||
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64 | temp1 = (drnea_dq_plus - rnea_partial_dq) / alpha; |
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64 | temp2 = (drnea_da_plus - rnea_partial_da) / alpha; |
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64 | temp2.triangularView<Eigen::StrictlyLower>() = |
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128 | temp2.transpose().triangularView<Eigen::StrictlyLower>(); |
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2112 | for (int ii = 0; ii < model.nv; ii++) |
| 136 | { | ||
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67584 | for (int jj = 0; jj < model.nv; jj++) |
| 138 | { | ||
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65536 | dtau2_dq_fd(jj, ii, k) = temp1(jj, ii); |
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65536 | dtau2_dadq_fd(jj, ii, k) = temp2(jj, ii); |
| 141 | } | ||
| 142 | } | ||
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64 | v_eps[k] -= alpha; |
| 144 | } | ||
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2 | Map<VectorXd> maq(dtau2_dadq.data(), dtau2_dadq.size()); |
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2 | Map<VectorXd> maq_fd(dtau2_dadq_fd.data(), dtau2_dadq_fd.size()); |
| 147 | |||
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2 | BOOST_CHECK(mq.isApprox(mq_fd, sqrt(alpha))); |
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2 | BOOST_CHECK(maq.isApprox(maq_fd, sqrt(alpha))); |
| 150 | |||
| 151 | // Check with q,v and a non zero | ||
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2 | dtau2_dq.setZero(); |
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2 | dtau2_dv.setZero(); |
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2 | dtau2_dqdv.setZero(); |
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2 | dtau2_dadq.setZero(); |
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2 | ComputeRNEASecondOrderDerivatives( |
| 157 | model, data, q, v, a, dtau2_dq, dtau2_dv, dtau2_dqdv, dtau2_dadq); | ||
| 158 | |||
| 159 |
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2 | rnea_partial_dq.setZero(); |
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2 | rnea_partial_dv.setZero(); |
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2 | rnea_partial_da.setZero(); |
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2 | computeRNEADerivatives(model, data, q, v, a, rnea_partial_dq, rnea_partial_dv, rnea_partial_da); |
| 163 | |||
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2 | dtau2_dq_fd.setZero(); |
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2 | dtau2_dadq_fd.setZero(); |
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2 | drnea_dq_plus.setZero(); |
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2 | drnea_dv_plus.setZero(); |
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2 | drnea_da_plus.setZero(); |
| 169 | |||
| 170 |
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66 | for (int k = 0; k < model.nv; ++k) |
| 171 | { | ||
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64 | v_eps[k] += alpha; |
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64 | q_plus = integrate(model, q, v_eps); |
| 174 |
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64 | computeRNEADerivatives( |
| 175 | model, data_fd, q_plus, v, a, drnea_dq_plus, drnea_dv_plus, drnea_da_plus); | ||
| 176 |
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64 | temp1 = (drnea_dq_plus - rnea_partial_dq) / alpha; |
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64 | temp2 = (drnea_da_plus - rnea_partial_da) / alpha; |
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64 | temp2.triangularView<Eigen::StrictlyLower>() = |
| 179 |
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128 | temp2.transpose().triangularView<Eigen::StrictlyLower>(); |
| 180 |
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2112 | for (int ii = 0; ii < model.nv; ii++) |
| 181 | { | ||
| 182 |
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67584 | for (int jj = 0; jj < model.nv; jj++) |
| 183 | { | ||
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65536 | dtau2_dq_fd(jj, ii, k) = temp1(jj, ii); |
| 185 |
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65536 | dtau2_dadq_fd(jj, ii, k) = temp2(jj, ii); |
| 186 | } | ||
| 187 | } | ||
| 188 |
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64 | v_eps[k] -= alpha; |
| 189 | } | ||
| 190 |
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2 | dtau2_dv_fd.setZero(); |
| 191 |
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2 | dtau2_dqdv_fd.setZero(); |
| 192 |
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66 | for (int k = 0; k < model.nv; ++k) |
| 193 | { | ||
| 194 |
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64 | v_eps[k] += alpha; |
| 195 |
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64 | v_plus = v + v_eps; |
| 196 |
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64 | computeRNEADerivatives( |
| 197 | model, data_fd, q, v_plus, a, drnea_dq_plus, drnea_dv_plus, drnea_da_plus); | ||
| 198 |
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64 | temp1 = (drnea_dv_plus - rnea_partial_dv) / alpha; |
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64 | temp2 = (drnea_dq_plus - rnea_partial_dq) / alpha; |
| 200 |
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2112 | for (int ii = 0; ii < model.nv; ii++) |
| 201 | { | ||
| 202 |
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67584 | for (int jj = 0; jj < model.nv; jj++) |
| 203 | { | ||
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65536 | dtau2_dv_fd(jj, ii, k) = temp1(jj, ii); |
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65536 | dtau2_dqdv_fd(jj, ii, k) = temp2(jj, ii); |
| 206 | } | ||
| 207 | } | ||
| 208 |
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64 | v_eps[k] -= alpha; |
| 209 | } | ||
| 210 |
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2 | Map<VectorXd> mv(dtau2_dv.data(), dtau2_dv.size()); |
| 211 |
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2 | Map<VectorXd> mv_fd(dtau2_dv_fd.data(), dtau2_dv_fd.size()); |
| 212 | |||
| 213 |
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2 | Map<VectorXd> mqv(dtau2_dqdv.data(), dtau2_dqdv.size()); |
| 214 |
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2 | Map<VectorXd> mqv_fd(dtau2_dqdv_fd.data(), dtau2_dqdv_fd.size()); |
| 215 | |||
| 216 |
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2 | BOOST_CHECK(mq.isApprox(mq_fd, sqrt(alpha))); |
| 217 |
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2 | BOOST_CHECK(maq.isApprox(maq_fd, sqrt(alpha))); |
| 218 |
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2 | BOOST_CHECK(mv.isApprox(mv_fd, sqrt(alpha))); |
| 219 |
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2 | BOOST_CHECK(mqv.isApprox(mqv_fd, sqrt(alpha))); |
| 220 | |||
| 221 |
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2 | Data data2(model); |
| 222 |
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2 | ComputeRNEASecondOrderDerivatives(model, data2, q, v, a); |
| 223 | |||
| 224 |
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2 | Map<VectorXd> mq2(data2.d2tau_dqdq.data(), (data2.d2tau_dqdq).size()); |
| 225 |
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2 | Map<VectorXd> mv2(data2.d2tau_dvdv.data(), (data2.d2tau_dvdv).size()); |
| 226 |
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2 | Map<VectorXd> mqv2(data2.d2tau_dqdv.data(), (data2.d2tau_dqdv).size()); |
| 227 |
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2 | Map<VectorXd> maq2(data2.d2tau_dadq.data(), (data2.d2tau_dadq).size()); |
| 228 | |||
| 229 |
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2 | BOOST_CHECK(mq.isApprox(mq2, sqrt(alpha))); |
| 230 |
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2 | BOOST_CHECK(mv.isApprox(mv2, sqrt(alpha))); |
| 231 |
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2 | BOOST_CHECK(mqv.isApprox(mqv2, sqrt(alpha))); |
| 232 |
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2 | BOOST_CHECK(maq.isApprox(maq2, sqrt(alpha))); |
| 233 | 2 | } | |
| 234 | |||
| 235 | BOOST_AUTO_TEST_SUITE_END() | ||
| 236 |