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| 1 | /** | ||
| 2 | * \file piecewise_curve.h | ||
| 3 | * \brief class allowing to create a piecewise curve. | ||
| 4 | * \author Jason C. | ||
| 5 | * \date 05/2019 | ||
| 6 | */ | ||
| 7 | |||
| 8 | #ifndef _CLASS_PIECEWISE_CURVE | ||
| 9 | #define _CLASS_PIECEWISE_CURVE | ||
| 10 | |||
| 11 | #include <boost/serialization/vector.hpp> | ||
| 12 | #include <fstream> | ||
| 13 | #include <memory> | ||
| 14 | #include <sstream> | ||
| 15 | |||
| 16 | #include "curve_abc.h" | ||
| 17 | #include "curve_conversion.h" | ||
| 18 | |||
| 19 | namespace ndcurves { | ||
| 20 | /// \class PiecewiseCurve. | ||
| 21 | /// \brief Represent a piecewise curve. We can add some new curve, | ||
| 22 | /// but the starting time of the curve to add should be equal to the | ||
| 23 | /// ending time of the actual piecewise_curve.<br>\ Example : A piecewise | ||
| 24 | /// curve composed of three curves cf0, cf1 and cf2 where cf0 is defined | ||
| 25 | /// between \f$[T0_{min},T0_{max}]\f$, cf1 between | ||
| 26 | /// \f$[T0_{max},T1_{max}]\f$ and cf2 between \f$[T1_{max},T2_{max}]\f$. | ||
| 27 | /// On the piecewise polynomial curve, cf0 is located between | ||
| 28 | /// \f$[T0_{min},T0_{max}[\f$, cf1 between \f$[T0_{max},T1_{max}[\f$ and | ||
| 29 | /// cf2 between \f$[T1_{max},T2_{max}]\f$. | ||
| 30 | /// | ||
| 31 | template <typename Time = double, typename Numeric = Time, bool Safe = false, | ||
| 32 | typename Point = Eigen::Matrix<Numeric, Eigen::Dynamic, 1>, | ||
| 33 | typename Point_derivate = Point, | ||
| 34 | typename CurveType = | ||
| 35 | curve_abc<Time, Numeric, Safe, Point, Point_derivate> > | ||
| 36 | struct piecewise_curve | ||
| 37 | : public curve_abc<Time, Numeric, Safe, Point, Point_derivate> { | ||
| 38 | typedef Point point_t; | ||
| 39 | typedef Point_derivate point_derivate_t; | ||
| 40 | typedef std::vector<point_t, Eigen::aligned_allocator<point_t> > t_point_t; | ||
| 41 | typedef std::vector<point_derivate_t, | ||
| 42 | Eigen::aligned_allocator<point_derivate_t> > | ||
| 43 | t_point_derivate_t; | ||
| 44 | typedef Time time_t; | ||
| 45 | typedef Numeric num_t; | ||
| 46 | typedef curve_abc<Time, Numeric, Safe, point_t, point_derivate_t> | ||
| 47 | base_curve_t; // parent class | ||
| 48 | typedef CurveType curve_t; // contained curves base class | ||
| 49 | typedef std::shared_ptr<curve_t> curve_ptr_t; | ||
| 50 | typedef typename std::vector<curve_ptr_t> t_curve_ptr_t; | ||
| 51 | typedef typename std::vector<Time> t_time_t; | ||
| 52 | typedef piecewise_curve<Time, Numeric, Safe, Point, Point_derivate, CurveType> | ||
| 53 | piecewise_curve_t; | ||
| 54 | typedef piecewise_curve<Time, Numeric, Safe, Point_derivate, Point_derivate, | ||
| 55 | typename CurveType::curve_derivate_t> | ||
| 56 | piecewise_curve_derivate_t; | ||
| 57 | typedef std::shared_ptr<typename piecewise_curve_derivate_t::curve_t> | ||
| 58 | curve_derivate_ptr_t; | ||
| 59 | |||
| 60 | public: | ||
| 61 | /// \brief Empty constructor. Add at least one curve to call other class | ||
| 62 | /// functions. | ||
| 63 | /// | ||
| 64 | 170 | piecewise_curve() : dim_(0), size_(0), T_min_(0), T_max_(0) {} | |
| 65 | |||
| 66 | /// \brief Constructor. | ||
| 67 | /// Initialize a piecewise curve by giving the first curve. | ||
| 68 | /// \param cf : a curve. | ||
| 69 | /// | ||
| 70 | 32 | piecewise_curve(const curve_ptr_t& cf) | |
| 71 | 32 | : dim_(0), size_(0), T_min_(0), T_max_(0) { | |
| 72 |
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32 | add_curve_ptr(cf); |
| 73 | 32 | } | |
| 74 | |||
| 75 | piecewise_curve(const t_curve_ptr_t& curves_list) | ||
| 76 | : dim_(0), size_(0), T_min_(0), T_max_(0) { | ||
| 77 | for (typename t_curve_ptr_t::const_iterator it = curves_list.begin(); | ||
| 78 | it != curves_list.end(); ++it) { | ||
| 79 | add_curve_ptr(*it); | ||
| 80 | } | ||
| 81 | } | ||
| 82 | |||
| 83 | 62 | piecewise_curve(const piecewise_curve& other) | |
| 84 | 62 | : dim_(other.dim_), | |
| 85 | 62 | curves_(other.curves_), | |
| 86 |
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62 | time_curves_(other.time_curves_), |
| 87 | 62 | size_(other.size_), | |
| 88 | 62 | T_min_(other.T_min_), | |
| 89 |
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124 | T_max_(other.T_max_) {} |
| 90 | |||
| 91 | 328 | virtual ~piecewise_curve() {} | |
| 92 | |||
| 93 | 26930 | virtual point_t operator()(const Time t) const { | |
| 94 | 26930 | check_if_not_empty(); | |
| 95 |
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24916 | if (Safe & !(T_min_ <= t && t <= T_max_)) { |
| 96 | // std::cout<<"[Min,Max]=["<<T_min_<<","<<T_max_<<"]"<<" | ||
| 97 | // t="<<t<<std::endl; | ||
| 98 |
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2 | throw std::out_of_range("can't evaluate piecewise curve, out of range"); |
| 99 | } | ||
| 100 | 26928 | return (*curves_.at(find_interval(t)))(t); | |
| 101 | } | ||
| 102 | |||
| 103 | /** | ||
| 104 | * @brief isApprox check if other and *this are approximately equals. | ||
| 105 | * Only two curves of the same class can be approximately equals, for | ||
| 106 | * comparison between different type of curves see isEquivalent | ||
| 107 | * @param other the other curve to check | ||
| 108 | * @param prec the precision threshold, default | ||
| 109 | * Eigen::NumTraits<Numeric>::dummy_precision() | ||
| 110 | * @return true is the two curves are approximately equals | ||
| 111 | */ | ||
| 112 | 26 | bool isApprox( | |
| 113 | const piecewise_curve_t& other, | ||
| 114 | const Numeric prec = Eigen::NumTraits<Numeric>::dummy_precision()) const { | ||
| 115 |
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26 | if (num_curves() != other.num_curves()) return false; |
| 116 |
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60 | for (size_t i = 0; i < num_curves(); ++i) { |
| 117 |
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42 | if (!curve_at_index(i)->isApprox(other.curve_at_index(i).get(), prec)) |
| 118 | 6 | return false; | |
| 119 | } | ||
| 120 | 18 | return true; | |
| 121 | } | ||
| 122 | |||
| 123 | ✗ | virtual bool isApprox( | |
| 124 | const base_curve_t* other, | ||
| 125 | const Numeric prec = Eigen::NumTraits<Numeric>::dummy_precision()) const { | ||
| 126 | ✗ | const piecewise_curve_t* other_cast = | |
| 127 | ✗ | dynamic_cast<const piecewise_curve_t*>(other); | |
| 128 | ✗ | if (other_cast) | |
| 129 | ✗ | return isApprox(*other_cast, prec); | |
| 130 | else | ||
| 131 | ✗ | return false; | |
| 132 | } | ||
| 133 | |||
| 134 | 26 | virtual bool operator==(const piecewise_curve_t& other) const { | |
| 135 | 26 | return isApprox(other); | |
| 136 | } | ||
| 137 | |||
| 138 | 8 | virtual bool operator!=(const piecewise_curve_t& other) const { | |
| 139 | 8 | return !(*this == other); | |
| 140 | } | ||
| 141 | |||
| 142 | /// \brief Evaluate the derivative of order N of curve at time t. | ||
| 143 | /// \param t : time when to evaluate the spline. | ||
| 144 | /// \param order : order of derivative. | ||
| 145 | /// \return \f$\frac{d^Np(t)}{dt^N}\f$ point corresponding on derivative | ||
| 146 | /// spline of order N at time t. | ||
| 147 | /// | ||
| 148 | 1626 | virtual point_derivate_t derivate(const Time t, | |
| 149 | const std::size_t order) const { | ||
| 150 | 1626 | check_if_not_empty(); | |
| 151 |
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1626 | if (Safe & !(T_min_ <= t && t <= T_max_)) { |
| 152 | ✗ | throw std::invalid_argument( | |
| 153 | "can't evaluate piecewise curve, out of range"); | ||
| 154 | } | ||
| 155 | 1626 | return (*curves_.at(find_interval(t))).derivate(t, order); | |
| 156 | } | ||
| 157 | |||
| 158 | /** | ||
| 159 | * @brief compute_derivate return a piecewise_curve which is the derivative of | ||
| 160 | * this at given order | ||
| 161 | * @param order order of derivative | ||
| 162 | * @return | ||
| 163 | */ | ||
| 164 | 4 | piecewise_curve_derivate_t* compute_derivate_ptr( | |
| 165 | const std::size_t order) const { | ||
| 166 |
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4 | piecewise_curve_derivate_t* res(new piecewise_curve_derivate_t()); |
| 167 | 12 | for (typename t_curve_ptr_t::const_iterator itc = curves_.begin(); | |
| 168 |
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12 | itc < curves_.end(); ++itc) { |
| 169 |
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8 | curve_derivate_ptr_t ptr((*itc)->compute_derivate_ptr(order)); |
| 170 |
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8 | res->add_curve_ptr(ptr); |
| 171 | } | ||
| 172 | 4 | return res; | |
| 173 | } | ||
| 174 | |||
| 175 | template <typename Curve> | ||
| 176 | 16022 | void add_curve(const Curve& curve) { | |
| 177 |
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16022 | curve_ptr_t curve_ptr = std::make_shared<Curve>(curve); |
| 178 |
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16022 | add_curve_ptr(curve_ptr); |
| 179 | 16022 | } | |
| 180 | |||
| 181 | /// \brief Add a new curve to piecewise curve, which should be defined in | ||
| 182 | /// \f$[T_{min},T_{max}]\f$ where \f$T_{min}\f$ | ||
| 183 | /// is equal to \f$T_{max}\f$ of the actual piecewise curve. The curve | ||
| 184 | /// added should be of type Curve as defined in the template. | ||
| 185 | /// \param cf : curve to add. | ||
| 186 | /// | ||
| 187 | 16128 | void add_curve_ptr(const curve_ptr_t& cf) { | |
| 188 |
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16128 | if (size_ == 0) { // first curve added |
| 189 | 156 | dim_ = cf->dim(); | |
| 190 | } | ||
| 191 | // Check time continuity : Beginning time of cf must be equal to T_max_ of | ||
| 192 | // actual piecewise curve. | ||
| 193 |
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16128 | if (size_ != 0 && !(fabs(cf->min() - T_max_) < MARGIN)) { |
| 194 |
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4 | std::stringstream ss; |
| 195 |
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4 | ss << "Can not add new Polynom to PiecewiseCurve : time discontinuity " |
| 196 | "between T_max_ and pol.min(). Current " | ||
| 197 | "T_max is " | ||
| 198 |
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4 | << T_max_ << " new curve min is " << cf->min(); |
| 199 |
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4 | throw std::invalid_argument(ss.str().c_str()); |
| 200 | 4 | } | |
| 201 |
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16124 | if (cf->dim() != dim_) { |
| 202 |
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2 | std::stringstream ss; |
| 203 |
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2 | ss << "All the curves in a piecewiseCurve should have the same " |
| 204 | "dimension. Current dim is " | ||
| 205 |
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2 | << dim_ << " dim of the new curve is " << cf->dim(); |
| 206 |
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2 | throw std::invalid_argument(ss.str().c_str()); |
| 207 | 2 | } | |
| 208 | 16122 | curves_.push_back(cf); | |
| 209 | 16122 | size_ = curves_.size(); | |
| 210 | 16122 | T_max_ = cf->max(); | |
| 211 |
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16122 | if (size_ == 1) { |
| 212 | // First curve added | ||
| 213 |
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156 | time_curves_.push_back(cf->min()); |
| 214 | 156 | T_min_ = cf->min(); | |
| 215 | } | ||
| 216 | 16122 | time_curves_.push_back(T_max_); | |
| 217 | 16122 | } | |
| 218 | |||
| 219 | /// \brief Check if the curve is continuous of order given. | ||
| 220 | /// \param order : order of continuity we want to check. | ||
| 221 | /// \return True if the curve is continuous of order given. | ||
| 222 | /// | ||
| 223 | 59 | bool is_continuous(const std::size_t order) { | |
| 224 | 59 | check_if_not_empty(); | |
| 225 | 59 | bool isContinuous = true; | |
| 226 | 59 | std::size_t i = 0; | |
| 227 |
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59 | if (order == 0) { |
| 228 |
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25 | point_t value_end, value_start; |
| 229 |
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133 | while (isContinuous && i < (size_ - 1)) { |
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54 | curve_ptr_t current = curves_.at(i); |
| 231 |
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54 | curve_ptr_t next = curves_.at(i + 1); |
| 232 |
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54 | value_end = (*current)(current->max()); |
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54 | value_start = (*next)(next->min()); |
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54 | if (!value_end.isApprox(value_start, MARGIN)) { |
| 235 | 7 | isContinuous = false; | |
| 236 | } | ||
| 237 | 54 | i++; | |
| 238 | } | ||
| 239 | 17 | } else { | |
| 240 |
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34 | point_derivate_t value_end, value_start; |
| 241 |
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142 | while (isContinuous && i < (size_ - 1)) { |
| 242 |
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54 | curve_ptr_t current = curves_.at(i); |
| 243 |
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54 | curve_ptr_t next = curves_.at(i + 1); |
| 244 |
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54 | value_end = current->derivate(current->max(), order); |
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54 | value_start = next->derivate(next->min(), order); |
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54 | if (!value_end.isApprox(value_start, MARGIN)) { |
| 247 | 16 | isContinuous = false; | |
| 248 | } | ||
| 249 | 54 | i++; | |
| 250 | } | ||
| 251 | 28 | } | |
| 252 | 59 | return isContinuous; | |
| 253 | } | ||
| 254 | |||
| 255 | /// \brief Get number of curves in piecewise curve. | ||
| 256 | /// \return Number of curves in piecewise curve. | ||
| 257 | 258 | std::size_t num_curves() const { return curves_.size(); } | |
| 258 | |||
| 259 | /// \brief Get curve corresponding to time t in piecewise curve. | ||
| 260 | /// Example : A piecewise curve PC made of two curves : c1 for t in [0,1] and | ||
| 261 | /// c2 for t in ]1,2]. | ||
| 262 | /// PC.curve_at_time(0.5) will return c1. | ||
| 263 | /// \param t : time to select curve. | ||
| 264 | /// \return Curve corresponding to time t in piecewise curve. | ||
| 265 | ✗ | curve_ptr_t curve_at_time(const time_t t) const { | |
| 266 | ✗ | return curves_[find_interval(t)]; | |
| 267 | } | ||
| 268 | |||
| 269 | /// \brief Get curve at specified index in piecewise curve. | ||
| 270 | /// \param idx : Index of curve to return, from 0 to num_curves-1. | ||
| 271 | /// \return curve corresonding to index in piecewise curve. | ||
| 272 | 104 | curve_ptr_t curve_at_index(const std::size_t idx) const { | |
| 273 |
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104 | if (Safe && idx >= num_curves()) { |
| 274 | ✗ | throw std::length_error( | |
| 275 | "curve_at_index: requested index greater than number of curves in " | ||
| 276 | "piecewise_curve instance"); | ||
| 277 | } | ||
| 278 | 104 | return curves_[idx]; | |
| 279 | } | ||
| 280 | |||
| 281 | /// \brief Convert all curves in piecewise curve into bezier curves. | ||
| 282 | /// \return piecewise bezier curve. | ||
| 283 | /// | ||
| 284 | template <typename Bezier> | ||
| 285 | 5 | piecewise_curve_t convert_piecewise_curve_to_bezier() { | |
| 286 | 5 | check_if_not_empty(); | |
| 287 | // check if given Bezier curve have the correct dimension : | ||
| 288 | BOOST_STATIC_ASSERT( | ||
| 289 | boost::is_same<typename Bezier::point_t, point_t>::value); | ||
| 290 | BOOST_STATIC_ASSERT(boost::is_same<typename Bezier::point_derivate_t, | ||
| 291 | point_derivate_t>::value); | ||
| 292 | // Create piecewise curve | ||
| 293 | 5 | piecewise_curve_t pc_res; | |
| 294 | // Convert and add all other curves (segments) | ||
| 295 |
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17 | for (std::size_t i = 0; i < size_; i++) { |
| 296 |
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12 | pc_res.add_curve(bezier_from_curve<Bezier>(*curves_.at(i))); |
| 297 | } | ||
| 298 | 5 | return pc_res; | |
| 299 | ✗ | } | |
| 300 | |||
| 301 | /// \brief Convert all curves in piecewise curve into cubic hermite curves. | ||
| 302 | /// Curves need to be of degree inferior or equal to three. | ||
| 303 | /// \return piecewise cubic hermite curve. | ||
| 304 | /// | ||
| 305 | template <typename Hermite> | ||
| 306 | 4 | piecewise_curve_t convert_piecewise_curve_to_cubic_hermite() { | |
| 307 | 4 | check_if_not_empty(); | |
| 308 | // check if given Hermite curve have the correct dimension : | ||
| 309 | BOOST_STATIC_ASSERT( | ||
| 310 | boost::is_same<typename Hermite::point_t, point_t>::value); | ||
| 311 | BOOST_STATIC_ASSERT(boost::is_same<typename Hermite::point_derivate_t, | ||
| 312 | point_derivate_t>::value); | ||
| 313 | // Create piecewise curve | ||
| 314 | 4 | piecewise_curve_t pc_res; | |
| 315 | // Convert and add all other curves (segments) | ||
| 316 |
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14 | for (std::size_t i = 0; i < size_; i++) { |
| 317 |
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10 | pc_res.add_curve(hermite_from_curve<Hermite>(*curves_.at(i))); |
| 318 | } | ||
| 319 | 4 | return pc_res; | |
| 320 | ✗ | } | |
| 321 | |||
| 322 | /// \brief Convert all curves in piecewise curve into polynomial curves. | ||
| 323 | /// \return piecewise polynomial curve. | ||
| 324 | /// | ||
| 325 | template <typename Polynomial> | ||
| 326 | 5 | piecewise_curve_t convert_piecewise_curve_to_polynomial() { | |
| 327 | 5 | check_if_not_empty(); | |
| 328 | // check if given Polynomial curve have the correct dimension : | ||
| 329 | BOOST_STATIC_ASSERT( | ||
| 330 | boost::is_same<typename Polynomial::point_t, point_t>::value); | ||
| 331 | BOOST_STATIC_ASSERT(boost::is_same<typename Polynomial::point_derivate_t, | ||
| 332 | point_derivate_t>::value); | ||
| 333 | // Create piecewise curve | ||
| 334 | 5 | piecewise_curve_t pc_res; | |
| 335 | // Convert and add all other curves (segments) | ||
| 336 |
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16 | for (std::size_t i = 0; i < size_; i++) { |
| 337 |
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11 | pc_res.add_curve(polynomial_from_curve<Polynomial>(*curves_.at(i))); |
| 338 | } | ||
| 339 | 5 | return pc_res; | |
| 340 | ✗ | } | |
| 341 | |||
| 342 | /// \brief Convert discrete points into piecewise polynomial curve with C0 | ||
| 343 | /// continuity. \param points : discrete points to convert. \param time_points | ||
| 344 | /// : time corresponding to each point in piecewise curve. \return piecewise | ||
| 345 | /// polynomial curve of C0 continuity. | ||
| 346 | /// | ||
| 347 | template <typename Polynomial> | ||
| 348 | 7 | static piecewise_curve_t convert_discrete_points_to_polynomial( | |
| 349 | t_point_t points, t_time_t time_points) { | ||
| 350 |
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7 | if (Safe & !(points.size() > 1)) { |
| 351 | // std::cout<<"[Min,Max]=["<<T_min_<<","<<T_max_<<"]"<<" | ||
| 352 | // t="<<t<<std::endl; | ||
| 353 | ✗ | throw std::invalid_argument( | |
| 354 | "piecewise_curve::convert_discrete_points_to_polynomial: Error, less " | ||
| 355 | "than 2 discrete points"); | ||
| 356 | } | ||
| 357 |
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7 | if (points.size() != time_points.size()) { |
| 358 | ✗ | throw std::invalid_argument( | |
| 359 | "piecewise_curve::convert_discrete_points_to_polynomial: Error, " | ||
| 360 | "points and time_points must have the same " | ||
| 361 | "size."); | ||
| 362 | } | ||
| 363 | // check if given Polynomial curve have the correct dimension : | ||
| 364 | BOOST_STATIC_ASSERT( | ||
| 365 | boost::is_same<typename Polynomial::point_t, point_t>::value); | ||
| 366 | BOOST_STATIC_ASSERT(boost::is_same<typename Polynomial::point_derivate_t, | ||
| 367 | point_derivate_t>::value); | ||
| 368 | 7 | piecewise_curve_t piecewise_res; | |
| 369 | |||
| 370 |
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34 | for (size_t i = 1; i < points.size(); ++i) { |
| 371 |
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29 | piecewise_res.add_curve(Polynomial(points[i - 1], points[i], |
| 372 | 29 | time_points[i - 1], time_points[i])); | |
| 373 | } | ||
| 374 | 5 | return piecewise_res; | |
| 375 | 2 | } | |
| 376 | |||
| 377 | /// \brief Convert discrete points into piecewise polynomial curve with C1 | ||
| 378 | /// continuity. \param points : discrete points to convert. \param | ||
| 379 | /// points_derivative : derivative of order 1 corresponding to each point in | ||
| 380 | /// piecewise curve. \param time_points : time corresponding to each point in | ||
| 381 | /// piecewise curve. \return piecewise polynomial curve of C1 continuity. | ||
| 382 | /// | ||
| 383 | template <typename Polynomial> | ||
| 384 | 5 | static piecewise_curve_t convert_discrete_points_to_polynomial( | |
| 385 | t_point_t points, t_point_derivate_t points_derivative, | ||
| 386 | t_time_t time_points) { | ||
| 387 |
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5 | if (Safe & !(points.size() > 1)) { |
| 388 | // std::cout<<"[Min,Max]=["<<T_min_<<","<<T_max_<<"]"<<" | ||
| 389 | // t="<<t<<std::endl; | ||
| 390 | ✗ | throw std::invalid_argument( | |
| 391 | "piecewise_curve::convert_discrete_points_to_polynomial: Error, less " | ||
| 392 | "than 2 discrete points"); | ||
| 393 | } | ||
| 394 |
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5 | if (points.size() != time_points.size()) { |
| 395 | ✗ | throw std::invalid_argument( | |
| 396 | "piecewise_curve::convert_discrete_points_to_polynomial: Error, " | ||
| 397 | "points and time_points must have the same " | ||
| 398 | "size."); | ||
| 399 | } | ||
| 400 |
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5 | if (points.size() != points_derivative.size()) { |
| 401 | ✗ | throw std::invalid_argument( | |
| 402 | "piecewise_curve::convert_discrete_points_to_polynomial: Error, " | ||
| 403 | "points and points_derivative must have the " | ||
| 404 | "same size."); | ||
| 405 | } | ||
| 406 | // check if given Polynomial curve have the correct dimension : | ||
| 407 | BOOST_STATIC_ASSERT( | ||
| 408 | boost::is_same<typename Polynomial::point_t, point_t>::value); | ||
| 409 | BOOST_STATIC_ASSERT(boost::is_same<typename Polynomial::point_derivate_t, | ||
| 410 | point_derivate_t>::value); | ||
| 411 | 5 | piecewise_curve_t piecewise_res; | |
| 412 | |||
| 413 |
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20 | for (size_t i = 1; i < points.size(); ++i) { |
| 414 |
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15 | piecewise_res.add_curve( |
| 415 |
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32 | Polynomial(points[i - 1], points_derivative[i - 1], points[i], |
| 416 | 17 | points_derivative[i], time_points[i - 1], time_points[i])); | |
| 417 | } | ||
| 418 | 3 | return piecewise_res; | |
| 419 | 2 | } | |
| 420 | |||
| 421 | /// \brief Convert discrete points into piecewise polynomial curve with C2 | ||
| 422 | /// continuity. \param points : discrete points to convert. \param | ||
| 423 | /// points_derivative : derivative of order 1 corresponding to each point in | ||
| 424 | /// piecewise curve. \param points_second_derivative : derivative of order 2 | ||
| 425 | /// corresponding to each point in piecewise curve. \param time_points : time | ||
| 426 | /// corresponding to each point in piecewise curve. \return piecewise | ||
| 427 | /// polynomial curve of C2 continuity. | ||
| 428 | /// | ||
| 429 | template <typename Polynomial> | ||
| 430 | 5 | static piecewise_curve_t convert_discrete_points_to_polynomial( | |
| 431 | t_point_t points, t_point_derivate_t points_derivative, | ||
| 432 | t_point_derivate_t points_second_derivative, t_time_t time_points) { | ||
| 433 |
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5 | if (Safe & !(points.size() > 1)) { |
| 434 | // std::cout<<"[Min,Max]=["<<T_min_<<","<<T_max_<<"]"<<" | ||
| 435 | // t="<<t<<std::endl; | ||
| 436 | ✗ | throw std::invalid_argument( | |
| 437 | "piecewise_curve::convert_discrete_points_to_polynomial: Error, less " | ||
| 438 | "than 2 discrete points"); | ||
| 439 | } | ||
| 440 |
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5 | if (points.size() != time_points.size()) { |
| 441 | ✗ | throw std::invalid_argument( | |
| 442 | "piecewise_curve::convert_discrete_points_to_polynomial: Error, " | ||
| 443 | "points and time_points must have the same " | ||
| 444 | "size."); | ||
| 445 | } | ||
| 446 |
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5 | if (points.size() != points_derivative.size()) { |
| 447 | ✗ | throw std::invalid_argument( | |
| 448 | "piecewise_curve::convert_discrete_points_to_polynomial: Error, " | ||
| 449 | "points and points_derivative must have the " | ||
| 450 | "same size."); | ||
| 451 | } | ||
| 452 |
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5 | if (points.size() != points_second_derivative.size()) { |
| 453 | ✗ | throw std::invalid_argument( | |
| 454 | "piecewise_curve::convert_discrete_points_to_polynomial: Error, " | ||
| 455 | "points and points_second_derivative must " | ||
| 456 | "have the same size."); | ||
| 457 | } | ||
| 458 | // check if given Polynomial curve have the correct dimension : | ||
| 459 | BOOST_STATIC_ASSERT( | ||
| 460 | boost::is_same<typename Polynomial::point_t, point_t>::value); | ||
| 461 | BOOST_STATIC_ASSERT(boost::is_same<typename Polynomial::point_derivate_t, | ||
| 462 | point_derivate_t>::value); | ||
| 463 | 5 | piecewise_curve_t piecewise_res; | |
| 464 | |||
| 465 |
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20 | for (size_t i = 1; i < points.size(); ++i) { |
| 466 |
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17 | piecewise_res.add_curve(Polynomial( |
| 467 | 17 | points[i - 1], points_derivative[i - 1], | |
| 468 | 17 | points_second_derivative[i - 1], points[i], points_derivative[i], | |
| 469 | 17 | points_second_derivative[i], time_points[i - 1], time_points[i])); | |
| 470 | } | ||
| 471 | 3 | return piecewise_res; | |
| 472 | 2 | } | |
| 473 | |||
| 474 | /** | ||
| 475 | * @brief load_piecewise_from_text_file build a piecewise polynomial from a | ||
| 476 | * list of discrete points read from a file. The file should contains one | ||
| 477 | * points per line, optionally with it's derivative and second derivatives. | ||
| 478 | * Each lines should then contains dim, 2*dim or 3*dim values | ||
| 479 | * @param filename the (absolute) name of the file to load | ||
| 480 | * @param dt the time step between each points in the file | ||
| 481 | * @param dim the dimension of the curve | ||
| 482 | * @return a piecewise curves containing polynomial connectiong all the points | ||
| 483 | * in the file | ||
| 484 | */ | ||
| 485 | template <typename Polynomial> | ||
| 486 | 5 | static piecewise_curve_t load_piecewise_from_text_file( | |
| 487 | const std::string& filename, const time_t dt, const size_t dim) { | ||
| 488 |
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5 | if (dim <= 0) |
| 489 | ✗ | throw std::invalid_argument("The dimension should be strictly positive."); | |
| 490 |
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5 | if (dt <= 0.) |
| 491 | ✗ | throw std::invalid_argument("The time step should be strictly positive."); | |
| 492 | |||
| 493 |
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5 | piecewise_curve_t piecewise_res; |
| 494 |
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5 | std::ifstream file; |
| 495 |
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5 | file.open(filename.c_str()); |
| 496 |
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5 | point_t last_pos = point_t::Zero(dim), last_vel = point_t::Zero(dim), |
| 497 |
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5 | last_acc = point_t::Zero(dim), new_pos = point_t::Zero(dim), |
| 498 |
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5 | new_vel = point_t::Zero(dim), new_acc = point_t::Zero(dim); |
| 499 | bool use_vel, use_acc; | ||
| 500 | 5 | std::string line; | |
| 501 | // read first line to found out if we use velocity / acceleration : | ||
| 502 |
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5 | std::getline(file, line); |
| 503 |
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5 | std::istringstream iss_length(line); |
| 504 | 5 | const size_t length = | |
| 505 |
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10 | std::distance(std::istream_iterator<std::string>(iss_length), |
| 506 | 10 | std::istream_iterator<std::string>()); | |
| 507 |
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5 | if (length == dim) { |
| 508 | 2 | use_vel = false; | |
| 509 | 2 | use_acc = false; | |
| 510 |
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3 | } else if (length == dim * 2) { |
| 511 | 1 | use_vel = true; | |
| 512 | 1 | use_acc = false; | |
| 513 |
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2 | } else if (length == dim * 3) { |
| 514 | 1 | use_vel = true; | |
| 515 | 1 | use_acc = true; | |
| 516 | } else { | ||
| 517 |
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1 | std::stringstream error; |
| 518 |
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1 | error << "The first line of the file shold contains either " << dim |
| 519 |
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1 | << ", " << dim * 2 << " or " << dim * 3 |
| 520 |
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1 | << "values, got : " << length; |
| 521 |
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1 | throw std::invalid_argument(error.str()); |
| 522 | 1 | } | |
| 523 | // initialize the first points of the trajectory: | ||
| 524 | num_t val; | ||
| 525 |
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4 | std::istringstream iss(line); |
| 526 |
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16 | for (size_t i = 0; i < dim; ++i) { |
| 527 |
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12 | iss >> val; |
| 528 |
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12 | last_pos[i] = val; |
| 529 | } | ||
| 530 |
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4 | if (use_vel) { |
| 531 |
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8 | for (size_t i = 0; i < dim; ++i) { |
| 532 |
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6 | iss >> val; |
| 533 |
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6 | last_vel[i] = val; |
| 534 | } | ||
| 535 | } | ||
| 536 |
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4 | if (use_acc) { |
| 537 |
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4 | for (size_t i = 0; i < dim; ++i) { |
| 538 |
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3 | iss >> val; |
| 539 |
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3 | last_acc[i] = val; |
| 540 | } | ||
| 541 | } | ||
| 542 | |||
| 543 | size_t current_length; | ||
| 544 | 4 | size_t line_id = 0; | |
| 545 | // parse all lines of the file: | ||
| 546 |
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15719 | while (std::getline(file, line)) { |
| 547 | 7858 | ++line_id; | |
| 548 |
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7858 | std::istringstream iss_length(line); |
| 549 | 7858 | current_length = | |
| 550 |
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15716 | std::distance(std::istream_iterator<std::string>(iss_length), |
| 551 | 15716 | std::istream_iterator<std::string>()); | |
| 552 |
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7858 | if (current_length != length) { |
| 553 |
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1 | std::stringstream error; |
| 554 |
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1 | error << "Cannot parse line " << line_id << " got " << current_length |
| 555 |
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1 | << " values instead of " << length; |
| 556 |
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1 | throw std::invalid_argument(error.str()); |
| 557 | 1 | } | |
| 558 |
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7857 | std::istringstream iss(line); |
| 559 | // parse the points values from the file: | ||
| 560 |
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31428 | for (size_t i = 0; i < dim; ++i) { |
| 561 |
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23571 | iss >> val; |
| 562 |
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23571 | new_pos[i] = val; |
| 563 | } | ||
| 564 |
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7857 | if (use_vel) { |
| 565 |
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31412 | for (size_t i = 0; i < dim; ++i) { |
| 566 |
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23559 | iss >> val; |
| 567 |
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23559 | new_vel[i] = val; |
| 568 | } | ||
| 569 | } | ||
| 570 |
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7857 | if (use_acc) { |
| 571 |
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31400 | for (size_t i = 0; i < dim; ++i) { |
| 572 |
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23550 | iss >> val; |
| 573 |
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23550 | new_acc[i] = val; |
| 574 | } | ||
| 575 | } | ||
| 576 | // append a new curves connectiong this points | ||
| 577 |
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7857 | if (use_acc) { |
| 578 |
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7850 | piecewise_res.add_curve( |
| 579 | 7850 | Polynomial(last_pos, last_vel, last_acc, new_pos, new_vel, new_acc, | |
| 580 | 7850 | dt * static_cast<time_t>(line_id - 1), | |
| 581 |
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7850 | dt * static_cast<time_t>(line_id))); |
| 582 |
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7 | } else if (use_vel) { |
| 583 |
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3 | piecewise_res.add_curve( |
| 584 | 3 | Polynomial(last_pos, last_vel, new_pos, new_vel, | |
| 585 | 3 | dt * static_cast<time_t>(line_id - 1), | |
| 586 |
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3 | dt * static_cast<time_t>(line_id))); |
| 587 | } else { | ||
| 588 |
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4 | piecewise_res.add_curve( |
| 589 | 4 | Polynomial(last_pos, new_pos, dt * static_cast<time_t>(line_id - 1), | |
| 590 |
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4 | dt * static_cast<time_t>(line_id))); |
| 591 | } | ||
| 592 |
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7857 | last_pos = new_pos; |
| 593 |
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7857 | last_vel = new_vel; |
| 594 |
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7857 | last_acc = new_acc; |
| 595 | } | ||
| 596 | |||
| 597 |
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3 | file.close(); |
| 598 | 6 | return piecewise_res; | |
| 599 | 24 | } | |
| 600 | |||
| 601 | private: | ||
| 602 | /// \brief Get index of the interval corresponding to time t for the | ||
| 603 | /// interpolation. \param t : time where to look for interval. \return Index | ||
| 604 | /// of interval for time t. | ||
| 605 | /// | ||
| 606 | 28554 | std::size_t find_interval(const Numeric t) const { | |
| 607 | // time before first control point time. | ||
| 608 |
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28554 | if (t < time_curves_[0]) { |
| 609 | ✗ | return 0; | |
| 610 | } | ||
| 611 | // time is after last control point time | ||
| 612 |
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28554 | if (t > time_curves_[size_ - 1]) { |
| 613 | 13058 | return size_ - 1; | |
| 614 | } | ||
| 615 | |||
| 616 | 15496 | std::size_t left_id = 0; | |
| 617 | 15496 | std::size_t right_id = size_ - 1; | |
| 618 |
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46716 | while (left_id <= right_id) { |
| 619 | 31822 | const std::size_t middle_id = left_id + (right_id - left_id) / 2; | |
| 620 |
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31822 | if (time_curves_.at(middle_id) < t) { |
| 621 | 15426 | left_id = middle_id + 1; | |
| 622 |
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16396 | } else if (time_curves_.at(middle_id) > t) { |
| 623 | 15794 | right_id = middle_id - 1; | |
| 624 | } else { | ||
| 625 | 602 | return middle_id; | |
| 626 | } | ||
| 627 | } | ||
| 628 | 14894 | return left_id - 1; | |
| 629 | } | ||
| 630 | |||
| 631 | 28648 | void check_if_not_empty() const { | |
| 632 |
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28648 | if (curves_.size() == 0) { |
| 633 | ✗ | throw std::runtime_error("Error in piecewise curve : No curve added"); | |
| 634 | } | ||
| 635 | 28648 | } | |
| 636 | |||
| 637 | /*Helpers*/ | ||
| 638 | public: | ||
| 639 | /// \brief Get dimension of curve. | ||
| 640 | /// \return dimension of curve. | ||
| 641 | 310 | std::size_t virtual dim() const { return dim_; }; | |
| 642 | /// \brief Get the minimum time for which the curve is defined | ||
| 643 | /// \return \f$t_{min}\f$, lower bound of time range. | ||
| 644 | 164 | Time virtual min() const { return T_min_; } | |
| 645 | /// \brief Get the maximum time for which the curve is defined. | ||
| 646 | /// \return \f$t_{max}\f$, upper bound of time range. | ||
| 647 | 710 | Time virtual max() const { return T_max_; } | |
| 648 | /// \brief Get the degree of the curve. | ||
| 649 | /// \return \f$degree\f$, the degree of the curve. | ||
| 650 | ✗ | virtual std::size_t degree() const { | |
| 651 | ✗ | throw std::runtime_error( | |
| 652 | "degree() method is not implemented for this type of curve."); | ||
| 653 | } | ||
| 654 | 3 | std::size_t getNumberCurves() { return curves_.size(); } | |
| 655 | /*Helpers*/ | ||
| 656 | |||
| 657 | /* Attributes */ | ||
| 658 | std::size_t dim_; // Dim of curve | ||
| 659 | t_curve_ptr_t curves_; // for curves 0/1/2 : [ curve0, curve1, curve2 ] | ||
| 660 | t_time_t time_curves_; // for curves 0/1/2 : [ Tmin0, Tmax0,Tmax1,Tmax2 ] | ||
| 661 | std::size_t size_; // Number of segments in piecewise curve = size of curves_ | ||
| 662 | Time T_min_, T_max_; | ||
| 663 | /* Attributes */ | ||
| 664 | |||
| 665 | // Serialization of the class | ||
| 666 | friend class boost::serialization::access; | ||
| 667 | |||
| 668 | template <class Archive> | ||
| 669 | 72 | void serialize(Archive& ar, const unsigned int version) { | |
| 670 | if (version) { | ||
| 671 | // Do something depending on version ? | ||
| 672 | } | ||
| 673 |
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72 | ar& BOOST_SERIALIZATION_BASE_OBJECT_NVP(base_curve_t); |
| 674 |
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72 | ar& boost::serialization::make_nvp("dim", dim_); |
| 675 |
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72 | ar& boost::serialization::make_nvp("curves", curves_); |
| 676 |
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72 | ar& boost::serialization::make_nvp("time_curves", time_curves_); |
| 677 |
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72 | ar& boost::serialization::make_nvp("size", size_); |
| 678 |
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72 | ar& boost::serialization::make_nvp("T_min", T_min_); |
| 679 |
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72 | ar& boost::serialization::make_nvp("T_max", T_max_); |
| 680 | 72 | } | |
| 681 | }; // End struct piecewise curve | ||
| 682 | } // namespace ndcurves | ||
| 683 | |||
| 684 | DEFINE_CLASS_TEMPLATE_VERSION( | ||
| 685 | SINGLE_ARG(typename Time, typename Numeric, bool Safe, typename Point, | ||
| 686 | typename Point_derivate, typename CurveType), | ||
| 687 | SINGLE_ARG(ndcurves::piecewise_curve<Time, Numeric, Safe, Point, | ||
| 688 | Point_derivate, CurveType>)) | ||
| 689 | |||
| 690 | #endif // _CLASS_PIECEWISE_CURVE | ||
| 691 |