| Line | Branch | Exec | Source | 
|---|---|---|---|
| 1 | /* | ||
| 2 | * Copyright 2015, LAAS-CNRS | ||
| 3 | * Author: Andrea Del Prete | ||
| 4 | */ | ||
| 5 | #ifndef HPP_CENTROIDAL_DYNAMICS_UTIL_HH | ||
| 6 | #define HPP_CENTROIDAL_DYNAMICS_UTIL_HH | ||
| 7 | |||
| 8 | #include <Eigen/Dense> | ||
| 9 | // Macros.h needs to be included after Dense | ||
| 10 | #include <Eigen/src/Core/util/Macros.h> | ||
| 11 | |||
| 12 | #include <cassert> | ||
| 13 | #include <cmath> | ||
| 14 | #include <fstream> | ||
| 15 | #include <iostream> | ||
| 16 | |||
| 17 | #include "setoper.h" | ||
| 18 | // cdd.h needs to be included after setoper.h | ||
| 19 | #include "cdd.h" | ||
| 20 | |||
| 21 | namespace centroidal_dynamics { | ||
| 22 | |||
| 23 | // #define USE_FLOAT 1; | ||
| 24 | #ifdef USE_FLOAT | ||
| 25 | typedef float value_type; | ||
| 26 | #else | ||
| 27 | typedef double value_type; | ||
| 28 | #endif | ||
| 29 | |||
| 30 | typedef Eigen::Matrix<value_type, 2, 1> Vector2; | ||
| 31 | typedef Eigen::Matrix<value_type, 1, 2> RVector2; | ||
| 32 | typedef Eigen::Matrix<value_type, 3, 1> Vector3; | ||
| 33 | typedef Eigen::Matrix<value_type, 1, 3> RVector3; | ||
| 34 | typedef Eigen::Matrix<value_type, 6, 1> Vector6; | ||
| 35 | typedef Eigen::Matrix<value_type, Eigen::Dynamic, 1> VectorX; | ||
| 36 | typedef Eigen::Matrix<value_type, 1, Eigen::Dynamic> RVectorX; | ||
| 37 | typedef Eigen::Matrix<value_type, 3, 3, Eigen::RowMajor> Rotation; | ||
| 38 | typedef Eigen::Matrix<value_type, Eigen::Dynamic, 2, Eigen::RowMajor> MatrixX2; | ||
| 39 | typedef Eigen::Matrix<value_type, 3, 3, Eigen::RowMajor> Matrix3; | ||
| 40 | typedef Eigen::Matrix<value_type, Eigen::Dynamic, 3, Eigen::RowMajor> MatrixX3; | ||
| 41 | typedef Eigen::Matrix<value_type, 3, Eigen::Dynamic, Eigen::RowMajor> Matrix3X; | ||
| 42 | typedef Eigen::Matrix<value_type, 4, 3, Eigen::RowMajor> Matrix43; | ||
| 43 | typedef Eigen::Matrix<value_type, 6, Eigen::Dynamic, Eigen::RowMajor> Matrix6X; | ||
| 44 | typedef Eigen::Matrix<value_type, 6, 2, Eigen::RowMajor> Matrix62; | ||
| 45 | typedef Eigen::Matrix<value_type, 6, 3, Eigen::RowMajor> Matrix63; | ||
| 46 | typedef Eigen::Matrix<value_type, Eigen::Dynamic, 6, Eigen::RowMajor> MatrixX6; | ||
| 47 | typedef Eigen::Matrix<value_type, Eigen::Dynamic, Eigen::Dynamic, | ||
| 48 | Eigen::RowMajor> | ||
| 49 | MatrixXX; | ||
| 50 | |||
| 51 | typedef Eigen::Ref<Vector2> Ref_vector2; | ||
| 52 | typedef Eigen::Ref<Vector3> Ref_vector3; | ||
| 53 | typedef Eigen::Ref<VectorX> Ref_vectorX; | ||
| 54 | typedef Eigen::Ref<Rotation> Ref_rotation; | ||
| 55 | typedef Eigen::Ref<MatrixX3> Ref_matrixX3; | ||
| 56 | typedef Eigen::Ref<Matrix43> Ref_matrix43; | ||
| 57 | typedef Eigen::Ref<Matrix6X> Ref_matrix6X; | ||
| 58 | typedef Eigen::Ref<MatrixXX> Ref_matrixXX; | ||
| 59 | |||
| 60 | typedef const Eigen::Ref<const Vector2>& Cref_vector2; | ||
| 61 | typedef const Eigen::Ref<const Vector3>& Cref_vector3; | ||
| 62 | typedef const Eigen::Ref<const Vector6>& Cref_vector6; | ||
| 63 | typedef const Eigen::Ref<const VectorX>& Cref_vectorX; | ||
| 64 | typedef const Eigen::Ref<const Rotation>& Cref_rotation; | ||
| 65 | typedef const Eigen::Ref<const MatrixX3>& Cref_matrixX3; | ||
| 66 | typedef const Eigen::Ref<const Matrix43>& Cref_matrix43; | ||
| 67 | typedef const Eigen::Ref<const Matrix6X>& Cref_matrix6X; | ||
| 68 | typedef const Eigen::Ref<const Matrix63>& Cref_matrix63; | ||
| 69 | typedef const Eigen::Ref<const MatrixXX>& Cref_matrixXX; | ||
| 70 | |||
| 71 | /**Column major definitions for compatibility with classical eigen use**/ | ||
| 72 | typedef Eigen::Matrix<value_type, Eigen::Dynamic, 3, Eigen::ColMajor> | ||
| 73 | MatrixX3ColMajor; | ||
| 74 | typedef Eigen::Matrix<value_type, Eigen::Dynamic, Eigen::Dynamic, | ||
| 75 | Eigen::ColMajor> | ||
| 76 | MatrixXXColMajor; | ||
| 77 | typedef const Eigen::Ref<const MatrixX3ColMajor>& Cref_matrixX3ColMajor; | ||
| 78 | typedef Eigen::Ref<MatrixXXColMajor>& ref_matrixXXColMajor; | ||
| 79 | |||
| 80 | /** | ||
| 81 | * Write the specified matrix to a binary file with the specified name. | ||
| 82 | */ | ||
| 83 | template <class Matrix> | ||
| 84 | bool writeMatrixToFile(const std::string& filename, const Matrix& matrix) { | ||
| 85 | std::ofstream out(filename.c_str(), | ||
| 86 | std::ios::out | std::ios::binary | std::ios::trunc); | ||
| 87 | if (!out.is_open()) return false; | ||
| 88 | typename Matrix::Index rows = matrix.rows(), cols = matrix.cols(); | ||
| 89 | out.write((char*)(&rows), sizeof(typename Matrix::Index)); | ||
| 90 | out.write((char*)(&cols), sizeof(typename Matrix::Index)); | ||
| 91 | out.write((char*)matrix.data(), | ||
| 92 | rows * cols * sizeof(typename Matrix::Scalar)); | ||
| 93 | out.close(); | ||
| 94 | return true; | ||
| 95 | } | ||
| 96 | |||
| 97 | /** | ||
| 98 | * Read a matrix from the specified input binary file. | ||
| 99 | */ | ||
| 100 | template <class Matrix> | ||
| 101 | 20 | bool readMatrixFromFile(const std::string& filename, Matrix& matrix) { | |
| 102 | 1/2✓ Branch 3 taken 17 times. ✗ Branch 4 not taken. | 20 | std::ifstream in(filename.c_str(), std::ios::in | std::ios::binary); | 
| 103 | 1/2✗ Branch 1 not taken. ✓ Branch 2 taken 17 times. | 20 | if (!in.is_open()) return false; | 
| 104 | 20 | typename Matrix::Index rows = 0, cols = 0; | |
| 105 | 1/2✓ Branch 1 taken 17 times. ✗ Branch 2 not taken. | 20 | in.read((char*)(&rows), sizeof(typename Matrix::Index)); | 
| 106 | 1/2✓ Branch 1 taken 17 times. ✗ Branch 2 not taken. | 20 | in.read((char*)(&cols), sizeof(typename Matrix::Index)); | 
| 107 | 1/2✓ Branch 1 taken 17 times. ✗ Branch 2 not taken. | 20 | matrix.resize(rows, cols); | 
| 108 | 2/4✓ Branch 1 taken 17 times. ✗ Branch 2 not taken. ✓ Branch 4 taken 17 times. ✗ Branch 5 not taken. | 20 | in.read((char*)matrix.data(), rows * cols * sizeof(typename Matrix::Scalar)); | 
| 109 | 1/2✓ Branch 1 taken 17 times. ✗ Branch 2 not taken. | 20 | in.close(); | 
| 110 | 20 | return true; | |
| 111 | 20 | } | |
| 112 | |||
| 113 | /** | ||
| 114 | * Convert the specified list of rays from Eigen to cdd format. | ||
| 115 | * @param input The mXn input Eigen matrix contains m rays of dimension n. | ||
| 116 | * @param bool whether to remove redundant inequalities | ||
| 117 | * @return The mX(n+1) output cdd matrix, which contains an additional column, | ||
| 118 | * the first one, with all zeros. | ||
| 119 | */ | ||
| 120 | dd_MatrixPtr cone_span_eigen_to_cdd(Cref_matrixXX input, | ||
| 121 | const bool canonicalize = false); | ||
| 122 | |||
| 123 | /** | ||
| 124 | * Compute the cross-product skew-symmetric matrix associated to the specified | ||
| 125 | * vector. | ||
| 126 | */ | ||
| 127 | Rotation crossMatrix(Cref_vector3 x); | ||
| 128 | |||
| 129 | void init_cdd_library(); | ||
| 130 | |||
| 131 | void release_cdd_library(); | ||
| 132 | |||
| 133 | // in some distribution the conversion Ref_matrixXX to Ref_vector3 does not | ||
| 134 | // compile | ||
| 135 | void uniform3(Cref_vector3 lower_bounds, Cref_vector3 upper_bounds, | ||
| 136 | Ref_vector3 out); | ||
| 137 | void uniform(Cref_matrixXX lower_bounds, Cref_matrixXX upper_bounds, | ||
| 138 | Ref_matrixXX out); | ||
| 139 | |||
| 140 | void euler_matrix(double roll, double pitch, double yaw, Ref_rotation R); | ||
| 141 | |||
| 142 | bool generate_rectangle_contacts(double lx, double ly, Cref_vector3 pos, | ||
| 143 | Cref_vector3 rpy, Ref_matrix43 p, | ||
| 144 | Ref_matrix43 N); | ||
| 145 | |||
| 146 | std::string getDateAndTimeAsString(); | ||
| 147 | |||
| 148 | /** | ||
| 149 | * Computes a binomal coefficient | ||
| 150 | * @return n!/((n–k)! k!). | ||
| 151 | */ | ||
| 152 | value_type nchoosek(const int n, const int k); | ||
| 153 | |||
| 154 | template <typename DerivedV, typename DerivedU> | ||
| 155 | void doCombs( | ||
| 156 | Eigen::Matrix<typename DerivedU::Scalar, 1, Eigen::Dynamic>& running, | ||
| 157 | int& running_i, int& running_j, Eigen::PlainObjectBase<DerivedU>& U, | ||
| 158 | const Eigen::MatrixBase<DerivedV>& V, int offset, int k) { | ||
| 159 | int N = (int)(V.size()); | ||
| 160 | if (k == 0) { | ||
| 161 | U.row(running_i) = running; | ||
| 162 | running_i++; | ||
| 163 | return; | ||
| 164 | } | ||
| 165 | for (int i = offset; i <= N - k; ++i) { | ||
| 166 | running(running_j) = V(i); | ||
| 167 | running_j++; | ||
| 168 | doCombs(running, running_i, running_j, U, V, i + 1, k - 1); | ||
| 169 | running_j--; | ||
| 170 | } | ||
| 171 | } | ||
| 172 | |||
| 173 | /** | ||
| 174 | * Computes a matrix C containing all possible combinations of the elements of | ||
| 175 | * vector v taken k at a time. Matrix C has k columns and n!/((n–k)! k!) rows, | ||
| 176 | * where n is length(v). | ||
| 177 | * @param V n-long vector of elements | ||
| 178 | * @param k size of sub-set to consider | ||
| 179 | * @param U result matrix | ||
| 180 | * @return nchoosek by k long matrix where each row is a unique k-size | ||
| 181 | * the first one, with all zeros. | ||
| 182 | */ | ||
| 183 | template <typename DerivedV, typename DerivedU> | ||
| 184 | void nchoosek(const Eigen::MatrixBase<DerivedV>& V, const int k, | ||
| 185 | Eigen::PlainObjectBase<DerivedU>& U) { | ||
| 186 | using namespace Eigen; | ||
| 187 | if (V.size() == 0) { | ||
| 188 | U.resize(0, k); | ||
| 189 | return; | ||
| 190 | } | ||
| 191 | assert((V.cols() == 1 || V.rows() == 1) && "V must be a vector"); | ||
| 192 | U.resize(nchoosek((int)(V.size()), k), k); | ||
| 193 | int running_i = 0; | ||
| 194 | int running_j = 0; | ||
| 195 | Matrix<typename DerivedU::Scalar, 1, Dynamic> running(1, k); | ||
| 196 | doCombs(running, running_i, running_j, U, V, 0, k); | ||
| 197 | } | ||
| 198 | } // namespace centroidal_dynamics | ||
| 199 | |||
| 200 | #endif // HPP_CENTROIDAL_DYNAMICS_UTIL_HH | ||
| 201 |