| Directory: | ./ |
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| File: | src/steering-method/spline.cc |
| Date: | 2025-03-10 11:18:21 |
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| Lines: | 40 | 43 | 93.0% |
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| 1 | // Copyright (c) 2017, 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/constraints/svd.hh> | ||
| 30 | #include <hpp/core/distance.hh> | ||
| 31 | #include <hpp/core/path/spline.hh> | ||
| 32 | #include <hpp/core/problem.hh> | ||
| 33 | #include <hpp/core/steering-method/spline.hh> | ||
| 34 | #include <hpp/pinocchio/configuration.hh> | ||
| 35 | #include <hpp/pinocchio/device.hh> | ||
| 36 | #include <hpp/pinocchio/liegroup.hh> | ||
| 37 | |||
| 38 | namespace hpp { | ||
| 39 | namespace core { | ||
| 40 | namespace steeringMethod { | ||
| 41 | template <int _PB, int _SO> | ||
| 42 | 2 | PathPtr_t Spline<_PB, _SO>::impl_compute(ConfigurationIn_t q1, | |
| 43 | ConfigurationIn_t q2) const { | ||
| 44 | enum { NDerivativeConstraintPerSide = int((SplineOrder + 1 - 2) / 2) }; | ||
| 45 | typedef Eigen::Matrix<value_type, Eigen::Dynamic, | ||
| 46 | NDerivativeConstraintPerSide> | ||
| 47 | DerMatrix_t; | ||
| 48 | typedef typename DerMatrix_t::ConstantReturnType DefaultDerivatives_t; | ||
| 49 | |||
| 50 |
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2 | DefaultDerivatives_t defaultDer(DerMatrix_t::Zero( |
| 51 | device_.lock()->numberDof(), NDerivativeConstraintPerSide)); | ||
| 52 |
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2 | std::vector<int> orders(NDerivativeConstraintPerSide); |
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2 | for (std::size_t i = 0; i < NDerivativeConstraintPerSide; ++i) |
| 54 | ✗ | orders[i] = int(i + 1); | |
| 55 |
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4 | return impl_compute(q1, orders, defaultDer, q2, orders, defaultDer, -1); |
| 56 | } | ||
| 57 | |||
| 58 | template <int _PB, int _SO> | ||
| 59 | 130 | PathPtr_t Spline<_PB, _SO>::steer(ConfigurationIn_t q1, std::vector<int> order1, | |
| 60 | matrixIn_t derivatives1, ConfigurationIn_t q2, | ||
| 61 | std::vector<int> order2, | ||
| 62 | matrixIn_t derivatives2, | ||
| 63 | value_type length) const { | ||
| 64 | // Check the size of the derivatives. | ||
| 65 |
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130 | assert(q1.size() == device_.lock()->configSize()); |
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130 | assert(q1.size() == q2.size()); |
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130 | assert(derivatives1.rows() == device_.lock()->numberDof()); |
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130 | assert(derivatives2.rows() == device_.lock()->numberDof()); |
| 69 | return impl_compute(q1, order1, derivatives1, q2, order2, derivatives2, | ||
| 70 |
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130 | length); |
| 71 | } | ||
| 72 | |||
| 73 | template <int _PB, int _SO> | ||
| 74 | template <typename Derived> | ||
| 75 | 132 | PathPtr_t Spline<_PB, _SO>::impl_compute( | |
| 76 | ConfigurationIn_t q1, std::vector<int> order1, | ||
| 77 | const Eigen::MatrixBase<Derived>& derivatives1, ConfigurationIn_t q2, | ||
| 78 | std::vector<int> order2, const Eigen::MatrixBase<Derived>& derivatives2, | ||
| 79 | value_type length) const { | ||
| 80 | // Compute the decomposition | ||
| 81 | // typedef Eigen::Matrix<value_type, SplineOrder+1, SplineOrder+1> | ||
| 82 | // ConstraintMatrix_t; | ||
| 83 | typedef Eigen::Matrix<value_type, Eigen::Dynamic, SplineOrder + 1, | ||
| 84 | Eigen::RowMajor> | ||
| 85 | ConstraintMatrix_t; | ||
| 86 | typedef Eigen::Matrix<value_type, Eigen::Dynamic, Eigen::Dynamic, | ||
| 87 | Eigen::RowMajor> | ||
| 88 | RhsMatrix_t; | ||
| 89 | |||
| 90 |
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132 | if (length <= 0) { |
| 91 | 24 | DistancePtr_t d = problem()->distance(); | |
| 92 |
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24 | length = (*d)(q1, q2); |
| 93 | } | ||
| 94 |
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262 | SplinePathPtr_t p = |
| 95 | 128 | SplinePath::create(device_.lock(), interval_t(0, length), constraints()); | |
| 96 | |||
| 97 | 128 | const size_type nbConstraints = 2 + derivatives1.cols() + derivatives2.cols(); | |
| 98 |
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126 | ConstraintMatrix_t coeffs(nbConstraints, SplineOrder + 1); |
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132 | RhsMatrix_t rhs(nbConstraints, device_.lock()->numberDof()); |
| 100 | |||
| 101 |
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132 | p->base(q1); // TODO use the center ? |
| 102 | // p->base(device_.lock()->neutralConfiguration()); // TODO use the center ? | ||
| 103 | // Configuration_t qmiddle (q1.size()); | ||
| 104 | // pinocchio::interpolate<pinocchio::RnxSOnLieGroupMap>(device_.lock(), q1, | ||
| 105 | // q2, 0.5, qmiddle); p->base(qmiddle); | ||
| 106 | |||
| 107 | // Compute the matrices | ||
| 108 | // TODO calls to basisFunctionDerivative could be cached as they do not | ||
| 109 | // depend on the inputs. | ||
| 110 |
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132 | p->basisFunctionDerivative(0, 0, coeffs.row(0).transpose()); |
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254 | pinocchio::difference<pinocchio::RnxSOnLieGroupMap>(device_.lock(), q1, |
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254 | p->base(), rhs.row(0)); |
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312 | for (std::size_t i = 0; i < order1.size(); ++i) |
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186 | p->basisFunctionDerivative(order1[i], 0, coeffs.row(i + 1).transpose()); |
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132 | rhs.middleRows(1, order1.size()).transpose() = derivatives1; |
| 116 | |||
| 117 | 126 | size_type row = 1 + order1.size(); | |
| 118 |
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126 | p->basisFunctionDerivative(0, 1, coeffs.row(row).transpose()); |
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258 | pinocchio::difference<pinocchio::RnxSOnLieGroupMap>(device_.lock(), q2, |
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260 | p->base(), rhs.row(row)); |
| 121 | 132 | ++row; | |
| 122 |
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318 | for (std::size_t i = 0; i < order2.size(); ++i) |
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186 | p->basisFunctionDerivative(order2[i], 1, coeffs.row(i + row).transpose()); |
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132 | rhs.middleRows(row, order2.size()).transpose() = derivatives2; |
| 125 | |||
| 126 | // Solve the problem | ||
| 127 | // coeffs * P = rhs | ||
| 128 | typedef Eigen::JacobiSVD<ConstraintMatrix_t> SVD_t; | ||
| 129 |
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130 | SVD_t svd(coeffs, Eigen::ComputeFullU | Eigen::ComputeFullV); |
| 130 |
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132 | p->parameters(svd.solve(rhs)); |
| 131 | |||
| 132 | 262 | return p; | |
| 133 | } | ||
| 134 | |||
| 135 | template <int _PB, int _SO> | ||
| 136 | 42 | Spline<_PB, _SO>::Spline(const ProblemConstPtr_t& problem) | |
| 137 | 42 | : SteeringMethod(problem), device_(problem->robot()) {} | |
| 138 | |||
| 139 | /// Copy constructor | ||
| 140 | template <int _PB, int _SO> | ||
| 141 | ✗ | Spline<_PB, _SO>::Spline(const Spline& other) | |
| 142 | ✗ | : SteeringMethod(other), device_(other.device_) {} | |
| 143 | |||
| 144 | // template class Spline<path::CanonicalPolynomeBasis, 1>; // equivalent to | ||
| 145 | // StraightPath template class Spline<path::CanonicalPolynomeBasis, 2>; template | ||
| 146 | // class Spline<path::CanonicalPolynomeBasis, 3>; | ||
| 147 | template class Spline<path::BernsteinBasis, 1>; // equivalent to StraightPath | ||
| 148 | // template class Spline<path::BernsteinBasis, 2>; | ||
| 149 | template class Spline<path::BernsteinBasis, 3>; | ||
| 150 | template class Spline<path::BernsteinBasis, 5>; | ||
| 151 | template class Spline<path::BernsteinBasis, 7>; | ||
| 152 | } // namespace steeringMethod | ||
| 153 | } // namespace core | ||
| 154 | } // namespace hpp | ||
| 155 |