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|---|---|---|---|
| 1 | /* | ||
| 2 | * Copyright 2018, LAAS-CNRS | ||
| 3 | * Author: Steve Tonneau | ||
| 4 | */ | ||
| 5 | |||
| 6 | #ifndef BEZIER_COM_TRAJ_LIB_UTILS_H | ||
| 7 | #define BEZIER_COM_TRAJ_LIB_UTILS_H | ||
| 8 | |||
| 9 | #include <Eigen/Dense> | ||
| 10 | #include <hpp/bezier-com-traj/definitions.hh> | ||
| 11 | #include <hpp/bezier-com-traj/flags.hh> | ||
| 12 | #include <hpp/bezier-com-traj/local_config.hh> | ||
| 13 | #include <vector> | ||
| 14 | |||
| 15 | namespace bezier_com_traj { | ||
| 16 | |||
| 17 | template <typename T> | ||
| 18 | T initwp(); | ||
| 19 | waypoint_t initwp(const size_t rows, const size_t cols); | ||
| 20 | waypoint_t operator+(const waypoint_t& w1, const waypoint_t& w2); | ||
| 21 | waypoint_t operator-(const waypoint_t& w1, const waypoint_t& w2); | ||
| 22 | waypoint_t operator*(const double k, const waypoint_t& w); | ||
| 23 | waypoint_t operator*(const waypoint_t& w, const double k); | ||
| 24 | |||
| 25 | struct waypoint_t { | ||
| 26 | MatrixXX first; | ||
| 27 | VectorX second; | ||
| 28 | |||
| 29 |
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2209749 | waypoint_t() : first(MatrixXX()), second(VectorX()) {} |
| 30 | |||
| 31 |
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7845787 | waypoint_t(MatrixXX A, VectorX b) : first(A), second(b) {} |
| 32 | |||
| 33 | ✗ | static waypoint_t Zero(size_t dim) { return initwp(dim, dim); } | |
| 34 | |||
| 35 | 2611270 | size_t size() const { return second.size(); } | |
| 36 | |||
| 37 | ✗ | bool isApprox(const waypoint_t& other, | |
| 38 | const value_type prec = | ||
| 39 | Eigen::NumTraits<value_type>::dummy_precision()) const { | ||
| 40 | ✗ | return first.isApprox(other.first, prec) && | |
| 41 | ✗ | second.isApprox(other.second, prec); | |
| 42 | } | ||
| 43 | |||
| 44 | bool operator==(const waypoint_t& other) const { return isApprox(other); } | ||
| 45 | |||
| 46 | bool operator!=(const waypoint_t& other) const { return !(*this == other); } | ||
| 47 | }; | ||
| 48 | |||
| 49 | /** | ||
| 50 | * @brief Compute the Bernstein polynoms for a given degree | ||
| 51 | * @param degree required degree | ||
| 52 | * @return the bernstein polynoms | ||
| 53 | */ | ||
| 54 | BEZIER_COM_TRAJ_DLLAPI std::vector<ndcurves::Bern<double> > | ||
| 55 | ComputeBersteinPolynoms(const unsigned int degree); | ||
| 56 | |||
| 57 | /** | ||
| 58 | * @brief given the constraints of the problem, and a set of waypoints, return | ||
| 59 | * the bezier curve corresponding | ||
| 60 | * @param pData problem data | ||
| 61 | * @param T total trajectory time | ||
| 62 | * @param pis list of waypoints | ||
| 63 | * @return the bezier curve | ||
| 64 | */ | ||
| 65 | template <typename Bezier, typename Point> | ||
| 66 | BEZIER_COM_TRAJ_DLLAPI Bezier computeBezierCurve(const ConstraintFlag& flag, | ||
| 67 | const double T, | ||
| 68 | const std::vector<Point>& pi, | ||
| 69 | const Point& x); | ||
| 70 | |||
| 71 | /** | ||
| 72 | * @brief computeDiscretizedTime build an array of discretized points in time, | ||
| 73 | * such that there is the same number of point in each phase. Doesn't contain | ||
| 74 | * t=0, is of size pointsPerPhase*phaseTimings.size() | ||
| 75 | * @param phaseTimings | ||
| 76 | * @param pointsPerPhase | ||
| 77 | * @return | ||
| 78 | */ | ||
| 79 | T_time computeDiscretizedTimeFixed(const VectorX& phaseTimings, | ||
| 80 | const unsigned int pointsPerPhase); | ||
| 81 | |||
| 82 | /** | ||
| 83 | * @brief computeDiscretizedTime build an array of discretized points in time, | ||
| 84 | * given the timestep. Doesn't contain t=0, | ||
| 85 | * is of size pointsPerPhase*phaseTimings.size() | ||
| 86 | * @param phaseTimings | ||
| 87 | * @param timeStep | ||
| 88 | * @return */ | ||
| 89 | T_time computeDiscretizedTime(const VectorX& phaseTimings, | ||
| 90 | const double timeStep); | ||
| 91 | |||
| 92 | /** | ||
| 93 | * @brief write a polytope describe by A x <= b linear constraints in | ||
| 94 | * a given filename | ||
| 95 | * @return the bernstein polynoms | ||
| 96 | */ | ||
| 97 | void printQHullFile(const std::pair<MatrixXX, VectorX>& Ab, VectorX intPoint, | ||
| 98 | const std::string& fileName, bool clipZ = false); | ||
| 99 | |||
| 100 | /** | ||
| 101 | * @brief skew symmetric matrix | ||
| 102 | */ | ||
| 103 | BEZIER_COM_TRAJ_DLLAPI Matrix3 skew(point_t_tC x); | ||
| 104 | |||
| 105 | /** | ||
| 106 | * @brief normalize inequality constraints | ||
| 107 | */ | ||
| 108 | int Normalize(Ref_matrixXX A, Ref_vectorX b); | ||
| 109 | |||
| 110 | } // end namespace bezier_com_traj | ||
| 111 | |||
| 112 | template <typename Bezier, typename Point> | ||
| 113 | 49 | Bezier bezier_com_traj::computeBezierCurve(const ConstraintFlag& flag, | |
| 114 | const double T, | ||
| 115 | const std::vector<Point>& pi, | ||
| 116 | const Point& x) { | ||
| 117 | 49 | std::vector<Point> wps; | |
| 118 | 49 | size_t i = 0; | |
| 119 |
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49 | if (flag & INIT_POS) { |
| 120 |
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49 | wps.push_back(pi[i]); |
| 121 | 49 | i++; | |
| 122 |
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49 | if (flag & INIT_VEL) { |
| 123 |
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49 | wps.push_back(pi[i]); |
| 124 | 49 | i++; | |
| 125 |
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49 | if (flag & INIT_ACC) { |
| 126 |
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20 | wps.push_back(pi[i]); |
| 127 | 20 | i++; | |
| 128 | } | ||
| 129 | } | ||
| 130 | } | ||
| 131 |
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49 | wps.push_back(x); |
| 132 | 49 | i++; | |
| 133 |
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49 | if (flag & (END_VEL) && !(flag & (END_POS))) { |
| 134 |
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5 | wps.push_back(x); |
| 135 | 5 | i++; | |
| 136 | } else { | ||
| 137 |
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44 | if (flag & END_ACC) { |
| 138 |
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10 | assert(flag & END_VEL && |
| 139 | "You cannot constrain final acceleration if final velocity is not " | ||
| 140 | "constrained."); | ||
| 141 |
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10 | wps.push_back(pi[i]); |
| 142 | 10 | i++; | |
| 143 | } | ||
| 144 |
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44 | if (flag & END_VEL) { |
| 145 |
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34 | assert(flag & END_POS && |
| 146 | "You cannot constrain final velocity if final position is not " | ||
| 147 | "constrained."); | ||
| 148 |
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34 | wps.push_back(pi[i]); |
| 149 | 34 | i++; | |
| 150 | } | ||
| 151 |
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44 | if (flag & END_POS) { |
| 152 |
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41 | wps.push_back(pi[i]); |
| 153 | 41 | i++; | |
| 154 | } | ||
| 155 | } | ||
| 156 |
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98 | return Bezier(wps.begin(), wps.end(), 0., T); |
| 157 | 49 | } | |
| 158 | |||
| 159 | #endif | ||
| 160 |