| Directory: | ./ |
|---|---|
| File: | src/path-optimization/linear-constraint.cc |
| Date: | 2025-03-10 11:18:21 |
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| Lines: | 26 | 32 | 81.2% |
| Branches: | 37 | 98 | 37.8% |
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| 1 | // Copyright (c) 2018, Joseph Mirabel | ||
| 2 | // Authors: Joseph Mirabel (joseph.mirabel@laas.fr) | ||
| 3 | // | ||
| 4 | |||
| 5 | // Redistribution and use in source and binary forms, with or without | ||
| 6 | // modification, are permitted provided that the following conditions are | ||
| 7 | // met: | ||
| 8 | // | ||
| 9 | // 1. Redistributions of source code must retain the above copyright | ||
| 10 | // notice, this list of conditions and the following disclaimer. | ||
| 11 | // | ||
| 12 | // 2. Redistributions in binary form must reproduce the above copyright | ||
| 13 | // notice, this list of conditions and the following disclaimer in the | ||
| 14 | // documentation and/or other materials provided with the distribution. | ||
| 15 | // | ||
| 16 | // THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS | ||
| 17 | // "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT | ||
| 18 | // LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR | ||
| 19 | // A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT | ||
| 20 | // HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, | ||
| 21 | // SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT | ||
| 22 | // LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, | ||
| 23 | // DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY | ||
| 24 | // THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT | ||
| 25 | // (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE | ||
| 26 | // OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH | ||
| 27 | // DAMAGE. | ||
| 28 | |||
| 29 | #include <hpp/core/path-optimization/linear-constraint.hh> | ||
| 30 | #include <hpp/pinocchio/util.hh> | ||
| 31 | #include <hpp/util/exception-factory.hh> | ||
| 32 | #include <hpp/util/timer.hh> | ||
| 33 | |||
| 34 | // #define USE_SVD | ||
| 35 | #ifdef USE_SVD | ||
| 36 | #include <hpp/constraints/svd.hh> | ||
| 37 | #endif | ||
| 38 | |||
| 39 | namespace hpp { | ||
| 40 | namespace core { | ||
| 41 | namespace pathOptimization { | ||
| 42 | HPP_DEFINE_TIMECOUNTER(LinearConstraint_decompose); | ||
| 43 | |||
| 44 | 75 | LinearConstraint::~LinearConstraint() { | |
| 45 | HPP_DISPLAY_TIMECOUNTER(LinearConstraint_decompose); | ||
| 46 | 75 | } | |
| 47 | |||
| 48 | 15 | bool LinearConstraint::decompose(bool check, bool throwIfNotValid) { | |
| 49 | HPP_SCOPE_TIMECOUNTER(LinearConstraint_decompose); | ||
| 50 | |||
| 51 |
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15 | if (J.rows() == 0) { // No constraint |
| 52 | ✗ | PK = matrix_t::Identity(J.cols(), J.cols()); | |
| 53 | ✗ | xStar = vector_t::Zero(PK.rows()); | |
| 54 | ✗ | return true; | |
| 55 | } | ||
| 56 | |||
| 57 | #ifdef USE_SVD | ||
| 58 | typedef Eigen::JacobiSVD<matrix_t> Decomposition_t; | ||
| 59 | Decomposition_t dec(J, Eigen::ComputeThinU | Eigen::ComputeFullV); | ||
| 60 | rank = dec.rank(); | ||
| 61 | |||
| 62 | PK.resize(J.cols(), J.cols() - rank); | ||
| 63 | xStar.resize(PK.rows()); | ||
| 64 | |||
| 65 | xStar = dec.solve(b); | ||
| 66 | |||
| 67 | PK.noalias() = constraints::getV2(dec, rank); | ||
| 68 | #else // USE_SVD | ||
| 69 |
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15 | Eigen::ColPivHouseholderQR<matrix_t> qr(J.transpose()); |
| 70 |
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15 | rank = qr.rank(); |
| 71 | |||
| 72 |
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15 | PK.resize(J.cols(), J.cols() - rank); |
| 73 |
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15 | xStar.resize(PK.rows()); |
| 74 | |||
| 75 |
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15 | vector_t rhs((qr.colsPermutation().inverse() * b).head(rank)); |
| 76 | |||
| 77 |
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15 | vector_t z(J.cols()); |
| 78 |
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30 | z.head(rank).noalias() = qr.matrixR() |
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15 | .topLeftCorner(rank, rank) |
| 80 |
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15 | .triangularView<Eigen::Upper>() |
| 81 |
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15 | .transpose() |
| 82 |
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30 | .solve(rhs); |
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15 | z.tail(J.cols() - rank).setZero(); |
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15 | xStar.noalias() = qr.householderQ() * z; |
| 85 | |||
| 86 |
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15 | PK.noalias() = |
| 87 |
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30 | qr.householderQ() * |
| 88 |
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30 | matrix_t::Identity(J.cols(), J.cols()).rightCols(J.cols() - rank); |
| 89 | #endif // USE_SVD | ||
| 90 | |||
| 91 |
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15 | if (check) { |
| 92 | // check that the constraints are feasible | ||
| 93 |
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15 | matrix_t error = J * xStar - b; |
| 94 |
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15 | if (!error.isZero(1e-7)) { |
| 95 | ✗ | if (throwIfNotValid) { | |
| 96 | ✗ | HPP_THROW(std::invalid_argument, | |
| 97 | "Constraints are not feasible.\nError is " | ||
| 98 | << setpyformat << one_line(error) << unsetpyformat); | ||
| 99 | } | ||
| 100 | hppDout(warning, "Constraint not feasible: " << error.norm() << '\n' | ||
| 101 | << error.transpose()); | ||
| 102 | ✗ | return false; | |
| 103 | } | ||
| 104 |
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15 | } |
| 105 | 15 | return true; | |
| 106 | 15 | } | |
| 107 | } // namespace pathOptimization | ||
| 108 | } // namespace core | ||
| 109 | } // namespace hpp | ||
| 110 | |||
| 111 | #ifdef USE_SVD | ||
| 112 | #undef USE_SVD | ||
| 113 | #endif // USE_SVD | ||
| 114 |