Directory: | ./ |
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File: | include/ndcurves/piecewise_curve.h |
Date: | 2025-03-05 17:18:30 |
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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 | 26850 | virtual point_t operator()(const Time t) const { | |
94 | 26850 | check_if_not_empty(); | |
95 |
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24836 | 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 | 26848 | 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 | 1546 | virtual point_derivate_t derivate(const Time t, | |
149 | const std::size_t order) const { | ||
150 | 1546 | check_if_not_empty(); | |
151 |
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1546 | if (Safe & !(T_min_ <= t && t <= T_max_)) { |
152 | ✗ | throw std::invalid_argument( | |
153 | "can't evaluate piecewise curve, out of range"); | ||
154 | } | ||
155 | 1546 | 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 | } | ||
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 | } | ||
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 | } | ||
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 | } | ||
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)) { |
230 |
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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()); |
233 |
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54 | value_start = (*next)(next->min()); |
234 |
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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); |
245 |
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54 | value_start = next->derivate(next->min(), order); |
246 |
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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 | } | ||
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 | } | ||
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 | } | ||
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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5 | 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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7858 | 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 | 28394 | std::size_t find_interval(const Numeric t) const { | |
607 | // time before first control point time. | ||
608 |
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28394 | if (t < time_curves_[0]) { |
609 | ✗ | return 0; | |
610 | } | ||
611 | // time is after last control point time | ||
612 |
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28394 | if (t > time_curves_[size_ - 1]) { |
613 | 13122 | return size_ - 1; | |
614 | } | ||
615 | |||
616 | 15272 | std::size_t left_id = 0; | |
617 | 15272 | std::size_t right_id = size_ - 1; | |
618 |
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45820 | while (left_id <= right_id) { |
619 | 31150 | const std::size_t middle_id = left_id + (right_id - left_id) / 2; | |
620 |
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31150 | if (time_curves_.at(middle_id) < t) { |
621 | 15154 | left_id = middle_id + 1; | |
622 |
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15996 | } else if (time_curves_.at(middle_id) > t) { |
623 | 15394 | right_id = middle_id - 1; | |
624 | } else { | ||
625 | 602 | return middle_id; | |
626 | } | ||
627 | } | ||
628 | 14670 | return left_id - 1; | |
629 | } | ||
630 | |||
631 | 28488 | void check_if_not_empty() const { | |
632 |
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28488 | if (curves_.size() == 0) { |
633 | ✗ | throw std::runtime_error("Error in piecewise curve : No curve added"); | |
634 | } | ||
635 | } | ||
636 | |||
637 | /*Helpers*/ | ||
638 | public: | ||
639 | /// \brief Get dimension of curve. | ||
640 | /// \return dimension of curve. | ||
641 | 230 | 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 | } | ||
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 |