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|---|---|---|---|
| 1 | /* | ||
| 2 | * Copyright (c) 2000-2022 Inria | ||
| 3 | * All rights reserved. | ||
| 4 | * | ||
| 5 | * Redistribution and use in source and binary forms, with or without | ||
| 6 | * modification, are permitted provided that the following conditions are met: | ||
| 7 | * | ||
| 8 | * * Redistributions of source code must retain the above copyright notice, | ||
| 9 | * this list of conditions and the following disclaimer. | ||
| 10 | * * Redistributions in binary form must reproduce the above copyright notice, | ||
| 11 | * this list of conditions and the following disclaimer in the documentation | ||
| 12 | * and/or other materials provided with the distribution. | ||
| 13 | * * Neither the name of the ALICE Project-Team nor the names of its | ||
| 14 | * contributors may be used to endorse or promote products derived from this | ||
| 15 | * software without specific prior written permission. | ||
| 16 | * | ||
| 17 | * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" | ||
| 18 | * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE | ||
| 19 | * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE | ||
| 20 | * ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE | ||
| 21 | * LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR | ||
| 22 | * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF | ||
| 23 | * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS | ||
| 24 | * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN | ||
| 25 | * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) | ||
| 26 | * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE | ||
| 27 | * POSSIBILITY OF SUCH DAMAGE. | ||
| 28 | * | ||
| 29 | * Contact: Bruno Levy | ||
| 30 | * | ||
| 31 | * https://www.inria.fr/fr/bruno-levy | ||
| 32 | * | ||
| 33 | * Inria, | ||
| 34 | * Domaine de Voluceau, | ||
| 35 | * 78150 Le Chesnay - Rocquencourt | ||
| 36 | * FRANCE | ||
| 37 | * | ||
| 38 | */ | ||
| 39 | |||
| 40 | #ifndef PERIODIC_DELAUNAY_TRIANGULATION_3D | ||
| 41 | #define PERIODIC_DELAUNAY_TRIANGULATION_3D | ||
| 42 | |||
| 43 | #include <geogram/basic/common.h> | ||
| 44 | #include <geogram/delaunay/delaunay.h> | ||
| 45 | #include <geogram/delaunay/periodic.h> | ||
| 46 | #include <geogram/voronoi/convex_cell.h> | ||
| 47 | #include <geogram/basic/process.h> | ||
| 48 | #include <geogram/basic/geometry.h> | ||
| 49 | #include <stack> | ||
| 50 | |||
| 51 | #include <geogram/delaunay/delaunay_sync.h> | ||
| 52 | |||
| 53 | namespace GEO { | ||
| 54 | |||
| 55 | class PeriodicDelaunay3dThread; | ||
| 56 | |||
| 57 | |||
| 58 | /** | ||
| 59 | * \brief Multithreaded implementation of Delaunay in 3d with | ||
| 60 | * optional periodic boundary conditions. | ||
| 61 | * \details Periodicity is taken into account by detecting the | ||
| 62 | * vertices with Voronoi cells that straddle the boundary and | ||
| 63 | * duplicating them as need be (with an additional propagation to | ||
| 64 | * have the correct neighborhoods). | ||
| 65 | * \see Delaunay3d, ParallelDelaunay3d | ||
| 66 | */ | ||
| 67 | class GEOGRAM_API PeriodicDelaunay3d : public Delaunay, public Periodic { | ||
| 68 | public: | ||
| 69 | |||
| 70 | /** | ||
| 71 | * \brief Gathers some structures used by some algorithms, makes | ||
| 72 | * multithreading more efficient by avoiding dynamic reallocations. | ||
| 73 | * \details It is used to compute the set of tetrahedra incident to | ||
| 74 | * a vertex. It gathers a stack and the vector of incident tets | ||
| 75 | * obtained so far. | ||
| 76 | */ | ||
| 77 | struct IncidentTetrahedra { | ||
| 78 | std::stack<index_t> S; | ||
| 79 | vector<index_t> incident_tets_set; | ||
| 80 | |||
| 81 | /** | ||
| 82 | * \brief Clears the set of incident tets. | ||
| 83 | */ | ||
| 84 | void clear_incident_tets() { | ||
| 85 | ✗ | incident_tets_set.resize(0); | |
| 86 | } | ||
| 87 | |||
| 88 | /** | ||
| 89 | * \brief Inserts a tet into the set of incident tets. | ||
| 90 | * \param[in] t the tet to be inserted. | ||
| 91 | */ | ||
| 92 | void add_incident_tet(index_t t) { | ||
| 93 | incident_tets_set.push_back(t); | ||
| 94 | } | ||
| 95 | |||
| 96 | /** | ||
| 97 | * \brief Tests whether a tet belongs to the set of incident | ||
| 98 | * tets. | ||
| 99 | * \param[in] t the tet to be tested | ||
| 100 | * \retval true if the tet belongs to the set of incident tets | ||
| 101 | * \retval false otherwise | ||
| 102 | */ | ||
| 103 | bool has_incident_tet(index_t t) const { | ||
| 104 | ✗ | for(index_t i=0; i<incident_tets_set.size(); ++i) { | |
| 105 | ✗ | if(incident_tets_set[i] == t) { | |
| 106 | return true; | ||
| 107 | } | ||
| 108 | } | ||
| 109 | return false; | ||
| 110 | } | ||
| 111 | |||
| 112 | vector<index_t>::const_iterator begin() const { | ||
| 113 | return incident_tets_set.begin(); | ||
| 114 | } | ||
| 115 | |||
| 116 | vector<index_t>::const_iterator end() const { | ||
| 117 | return incident_tets_set.end(); | ||
| 118 | } | ||
| 119 | }; | ||
| 120 | |||
| 121 | /** | ||
| 122 | * \brief Constructs a new PeriodicDelaunay3d. | ||
| 123 | * \param[in] periodic if true, constructs a periodic triangulation. | ||
| 124 | * \param[in] period the edge length of the periodic domain. | ||
| 125 | */ | ||
| 126 | PeriodicDelaunay3d(bool periodic, double period=1.0); | ||
| 127 | |||
| 128 | /** | ||
| 129 | * \brief Constructs a new PeriodicDelaunay3d. | ||
| 130 | * \param[in] period the edge lengths along x,y,z in the periodic domain | ||
| 131 | * \param[in] periodic if true, constructs a periodic triangulation. | ||
| 132 | */ | ||
| 133 | PeriodicDelaunay3d(const vec3& period, bool periodic = true); | ||
| 134 | |||
| 135 | /** | ||
| 136 | * \copydoc Delaunay::set_vertices() | ||
| 137 | * \note compute() needs to be called after. | ||
| 138 | */ | ||
| 139 | void set_vertices( | ||
| 140 | index_t nb_vertices, const double* vertices | ||
| 141 | ) override; | ||
| 142 | |||
| 143 | /** | ||
| 144 | * \brief Sets the weights. | ||
| 145 | * \param[in] weights pointer to the array of | ||
| 146 | * weights. Size is the number of real vertices, | ||
| 147 | * i.e., the parameter nb_vertices passed to | ||
| 148 | * set_vertices(). | ||
| 149 | * \note compute() needs to be called after. | ||
| 150 | */ | ||
| 151 | void set_weights(const double* weights); | ||
| 152 | |||
| 153 | /** | ||
| 154 | * \brief Computes the Delaunay triangulation. | ||
| 155 | */ | ||
| 156 | void compute(); | ||
| 157 | |||
| 158 | /** | ||
| 159 | * \brief Use exact predicates in convex cell computations. | ||
| 160 | * \details Convex cell computations are used in periodic | ||
| 161 | * mode for determining the cells that straddle the domain | ||
| 162 | * boundary. | ||
| 163 | * \param[in] x true if exact predicates should be used | ||
| 164 | * (default), false otherwise. | ||
| 165 | */ | ||
| 166 | void use_exact_predicates_for_convex_cell(bool x) { | ||
| 167 | convex_cell_exact_predicates_ = x; | ||
| 168 | } | ||
| 169 | |||
| 170 | /** | ||
| 171 | * \brief Gets a vertex by index. | ||
| 172 | * \param[in] v a vertex index. Can be a virtual | ||
| 173 | * vertex index when in periodic mode. | ||
| 174 | * \return the 3d point associated with the vertex. | ||
| 175 | * In periodic mode, if \p v is a virtual vertex, | ||
| 176 | * then the translation is applied to the real vertex. | ||
| 177 | */ | ||
| 178 | ✗ | vec3 vertex(index_t v) const { | |
| 179 | ✗ | if(!periodic_) { | |
| 180 | geo_debug_assert(v < nb_vertices()); | ||
| 181 | ✗ | return vec3(vertices_ + 3*v); | |
| 182 | } | ||
| 183 | ✗ | index_t instance = v/nb_vertices_non_periodic_; | |
| 184 | ✗ | v = v%nb_vertices_non_periodic_; | |
| 185 | ✗ | vec3 result(vertices_ + 3*v); | |
| 186 | ✗ | result.x += double(translation[instance][0]) * period_.x; | |
| 187 | ✗ | result.y += double(translation[instance][1]) * period_.y; | |
| 188 | ✗ | result.z += double(translation[instance][2]) * period_.z; | |
| 189 | ✗ | return result; | |
| 190 | } | ||
| 191 | |||
| 192 | /** | ||
| 193 | * \brief Gets a weight by index. | ||
| 194 | * \param[in] v a vertex index. Can be a virtual | ||
| 195 | * vertex index in periodic mode. | ||
| 196 | * \return the weight associated with the vertex. | ||
| 197 | */ | ||
| 198 | double weight(index_t v) const { | ||
| 199 | ✗ | if(weights_ == nullptr) { | |
| 200 | return 0.0; | ||
| 201 | } | ||
| 202 | ✗ | return periodic_ ? weights_[periodic_vertex_real(v)] : weights_[v] ; | |
| 203 | } | ||
| 204 | |||
| 205 | /** | ||
| 206 | * \copydoc Delaunay::nearest_vertex() | ||
| 207 | */ | ||
| 208 | index_t nearest_vertex(const double* p) const override; | ||
| 209 | |||
| 210 | /** | ||
| 211 | * \copydoc Delaunay::set_BRIO_levels() | ||
| 212 | */ | ||
| 213 | void set_BRIO_levels(const vector<index_t>& levels) override; | ||
| 214 | |||
| 215 | /** | ||
| 216 | * \brief computes the set of tetrahedra that are incident to | ||
| 217 | * a vertex. | ||
| 218 | * \param[in] v the index of the vertex. | ||
| 219 | * \param[in,out] W a reference to a | ||
| 220 | * PeriodicDelaunay3d::IncidentTetrahedra. | ||
| 221 | * On exit it contains the list of incident tets. | ||
| 222 | */ | ||
| 223 | void get_incident_tets(index_t v, IncidentTetrahedra& W) const; | ||
| 224 | |||
| 225 | /** | ||
| 226 | * \brief Copies a Laguerre cell from the triangulation. | ||
| 227 | * \details Delaunay neigbhors are stored in ConvexCell vertex global | ||
| 228 | * indices. | ||
| 229 | * \param[in] i the index of the vertex of which the Laguerre cell | ||
| 230 | * should be computed. | ||
| 231 | * \param[out] C the Laguerre cell. | ||
| 232 | * \param[in,out] W a reference to a | ||
| 233 | * PeriodicDelaunay3d::IncidentTetrahedra | ||
| 234 | */ | ||
| 235 | void copy_Laguerre_cell_from_Delaunay( | ||
| 236 | GEO::index_t i, | ||
| 237 | ConvexCell& C, | ||
| 238 | IncidentTetrahedra& W | ||
| 239 | ) const; | ||
| 240 | |||
| 241 | /** | ||
| 242 | * \brief Copies a Laguerre cell from the triangulation. | ||
| 243 | * \details Delaunay neigbhors are stored in ConvexCell vertex global | ||
| 244 | * indices. | ||
| 245 | * \param[in] i the index of the vertex of which the Laguerre cell | ||
| 246 | * should be computed. | ||
| 247 | * \param[out] C the Laguerre cell. | ||
| 248 | */ | ||
| 249 | void copy_Laguerre_cell_from_Delaunay( | ||
| 250 | GEO::index_t i, | ||
| 251 | ConvexCell& C | ||
| 252 | ) const { | ||
| 253 | IncidentTetrahedra W; | ||
| 254 | copy_Laguerre_cell_from_Delaunay(i,C,W); | ||
| 255 | } | ||
| 256 | |||
| 257 | /** | ||
| 258 | * \brief Tests whether the Laguerre diagram has empty cells. | ||
| 259 | * \details If the Laguerre diagram has empty cells, then | ||
| 260 | * computation is stopped, and all the queries on the Laguerre | ||
| 261 | * diagram will not work (including the non-empty cells). | ||
| 262 | * \retval true if the Laguerre diagram has empty cells. | ||
| 263 | * \retval false otherwise. | ||
| 264 | */ | ||
| 265 | bool has_empty_cells() const { | ||
| 266 | return has_empty_cells_; | ||
| 267 | } | ||
| 268 | |||
| 269 | /** | ||
| 270 | * \brief Saves the cells in an Alias-Wavefront file. | ||
| 271 | * \param[in] basename the basename of the file. Filename | ||
| 272 | * is basename_callid.obj, where callid is the number of | ||
| 273 | * times the function was invoked. | ||
| 274 | * \param[in] clipped if true, clip the cells by the domain | ||
| 275 | * without saving, else keep the cells as is. | ||
| 276 | */ | ||
| 277 | void save_cells(const std::string& basename, bool clipped); | ||
| 278 | |||
| 279 | protected: | ||
| 280 | |||
| 281 | /** | ||
| 282 | * \brief Copies a Laguerre cell facet from the triangulation. | ||
| 283 | * \param[in] i the index of the vertex of which the Laguerre cell | ||
| 284 | * should be computed. | ||
| 285 | * \param[in] Pi the coordinates of vertex \p i | ||
| 286 | * \param[in] wi the weight associated to vertex \p i | ||
| 287 | * \param[in] Pi_len2 the squared length of vertex \p i (considered as | ||
| 288 | * a vector). | ||
| 289 | * \param[in] t a tetrahedron of the Delaunay triangulation, | ||
| 290 | * incident to vertex i | ||
| 291 | * \param[out] C the Laguerre cell. | ||
| 292 | * \param[in,out] W a reference to a | ||
| 293 | * PeriodicDelaunay3d::IncidentTetrahedra | ||
| 294 | * \return the local index of vertex \p i within tetrahedron \p t | ||
| 295 | */ | ||
| 296 | GEO::index_t copy_Laguerre_cell_facet_from_Delaunay( | ||
| 297 | GEO::index_t i, | ||
| 298 | const GEO::vec3& Pi, | ||
| 299 | double wi, | ||
| 300 | double Pi_len2, | ||
| 301 | GEO::index_t t, | ||
| 302 | ConvexCell& C, | ||
| 303 | IncidentTetrahedra& W | ||
| 304 | ) const; | ||
| 305 | |||
| 306 | |||
| 307 | /** | ||
| 308 | * \brief Removes unused tetrahedra. | ||
| 309 | * \return the final number of tetrahedra. | ||
| 310 | * \param[in] shrink if true, then array space is shrunk | ||
| 311 | * to fit the new number of tetrahedra. | ||
| 312 | */ | ||
| 313 | index_t compress(bool shrink=true); | ||
| 314 | |||
| 315 | /** | ||
| 316 | * \copydoc Delaunay::update_v_to_cell() | ||
| 317 | * \details if update_periodic_v_to_cell_ is set to true, | ||
| 318 | * also updates the map periodic_v_to_cell_ that maps | ||
| 319 | * each virtual vertex to a tet incident to it. | ||
| 320 | */ | ||
| 321 | void update_v_to_cell() override; | ||
| 322 | |||
| 323 | /** | ||
| 324 | * \copydoc Delaunay::update_cicl() | ||
| 325 | */ | ||
| 326 | void update_cicl() override; | ||
| 327 | |||
| 328 | /** | ||
| 329 | * \brief Duplicates the points with Voronoi cells | ||
| 330 | * that cross the boundary. | ||
| 331 | */ | ||
| 332 | void handle_periodic_boundaries(); | ||
| 333 | |||
| 334 | |||
| 335 | /** | ||
| 336 | * \brief Phase I of periodic boundaries handling | ||
| 337 | * \details For each cell that traverses the boundary, generates | ||
| 338 | * the periodic vertices instances corresponding to the crossed | ||
| 339 | * faces of the domain, and inserts them in the list of vertices | ||
| 340 | * to be inserted (the reorder_ vector). | ||
| 341 | */ | ||
| 342 | void handle_periodic_boundaries_phase_I(); | ||
| 343 | |||
| 344 | /** | ||
| 345 | * \brief Tests the position of a Laguerre vertex w.r.t. a plane | ||
| 346 | * \details The positive side of the plane equation corresponds to | ||
| 347 | * what is kept. In other words, the normal vector P.x, P.y, P.z | ||
| 348 | * points towards the interior of this ConvexCell. | ||
| 349 | * \param[in] t a tetrahedron index. The considered Laguerre vertex | ||
| 350 | * is the dual of this tetrahedron. | ||
| 351 | * \param[in] P the plane equation. | ||
| 352 | * \retval true if the Laguerre vertex would be clipped by plane P | ||
| 353 | * \retval false otherwise | ||
| 354 | */ | ||
| 355 | bool Laguerre_vertex_is_in_conflict_with_plane(index_t t, vec4 P) const; | ||
| 356 | |||
| 357 | /** | ||
| 358 | * \brief Phase II of periodic boundaries handling | ||
| 359 | * \details Adds the newly discovered neighbors of | ||
| 360 | * the vertices inserted during phase I, back-translated | ||
| 361 | * to their original domain instances in the list of | ||
| 362 | * vertices to be inserted (in the reorder_ member). | ||
| 363 | */ | ||
| 364 | void handle_periodic_boundaries_phase_II(); | ||
| 365 | |||
| 366 | /** | ||
| 367 | * \brief Inserts vertices from reorder_[b] to reorder_[e-1] using | ||
| 368 | * multithreaded Delaunay. Called by insert_vertices() if there | ||
| 369 | * are many vertices to insert. | ||
| 370 | * \details If an empty cells is detected, has_empty_cells_ is | ||
| 371 | * set and the function exits. | ||
| 372 | */ | ||
| 373 | void insert_vertices(const char* phase, index_t b, index_t e); | ||
| 374 | |||
| 375 | /** | ||
| 376 | * \brief Inserts vertices as indicated by a reordering vector | ||
| 377 | * and a vector of BRIO levels, as obtained using | ||
| 378 | * compute_BRIO_order_periodic() (internal function, in the .cpp) | ||
| 379 | * \details used by insert_vertices() (and maybe also compute(), we shall | ||
| 380 | * see if we can). Returns immediatly if an empty cell is encountered, | ||
| 381 | * then it sets has_empty_cells_. | ||
| 382 | * \param[in] levels a const reference to the vector of BRIO levels, as | ||
| 383 | * offsets in the member reordering vector reorder_. | ||
| 384 | */ | ||
| 385 | void insert_vertices_with_BRIO( | ||
| 386 | const char* phase, const vector<index_t>& levels | ||
| 387 | ); | ||
| 388 | |||
| 389 | /** | ||
| 390 | * \brief Checks the volume of Laguerre cells. | ||
| 391 | */ | ||
| 392 | void check_volume(); | ||
| 393 | |||
| 394 | /** | ||
| 395 | * \brief Gets a thread by index. | ||
| 396 | * \param[in] t the index of the thread, in 0..nb_threads()-1 | ||
| 397 | * \return a pointer to the t-th thread. | ||
| 398 | */ | ||
| 399 | PeriodicDelaunay3dThread* thread(index_t t) { | ||
| 400 | geo_debug_assert(t < threads_.size()); | ||
| 401 | return reinterpret_cast<PeriodicDelaunay3dThread*>( | ||
| 402 | ✗ | threads_[t].get() | |
| 403 | ); | ||
| 404 | } | ||
| 405 | |||
| 406 | /** | ||
| 407 | * \brief Gets the number of threads. | ||
| 408 | * \return the number of threads. | ||
| 409 | */ | ||
| 410 | index_t nb_threads() const { | ||
| 411 | ✗ | return index_t(threads_.size()); | |
| 412 | } | ||
| 413 | |||
| 414 | void check_max_t(); | ||
| 415 | |||
| 416 | private: | ||
| 417 | friend class PeriodicDelaunay3dThread; | ||
| 418 | |||
| 419 | bool periodic_; | ||
| 420 | vec3 period_; | ||
| 421 | |||
| 422 | const double* weights_; | ||
| 423 | vector<index_t> cell_to_v_store_; | ||
| 424 | vector<index_t> cell_to_cell_store_; | ||
| 425 | vector<index_t> cell_next_; | ||
| 426 | |||
| 427 | CellStatusArray cell_status_; | ||
| 428 | |||
| 429 | ThreadGroup threads_; | ||
| 430 | vector<index_t> reorder_; | ||
| 431 | vector<index_t> levels_; | ||
| 432 | |||
| 433 | /** | ||
| 434 | * Performs additional checks (costly !) | ||
| 435 | */ | ||
| 436 | bool debug_mode_; | ||
| 437 | |||
| 438 | /** | ||
| 439 | * Displays the result of the additional checks. | ||
| 440 | */ | ||
| 441 | bool verbose_debug_mode_; | ||
| 442 | |||
| 443 | /** | ||
| 444 | * Displays a synthetic summary of timings at the end of the algorithm | ||
| 445 | */ | ||
| 446 | bool benchmark_mode_; | ||
| 447 | |||
| 448 | /** | ||
| 449 | * Displays the detailed timing of all the phases of the algorithm | ||
| 450 | */ | ||
| 451 | bool detailed_benchmark_mode_; | ||
| 452 | |||
| 453 | /** | ||
| 454 | * \brief Bitmask that indicates for each real vertex | ||
| 455 | * the virtual vertices that were created. | ||
| 456 | */ | ||
| 457 | vector<Numeric::uint32> vertex_instances_; | ||
| 458 | |||
| 459 | bool update_periodic_v_to_cell_; | ||
| 460 | vector<index_t> periodic_v_to_cell_rowptr_; | ||
| 461 | vector<index_t> periodic_v_to_cell_data_; | ||
| 462 | |||
| 463 | /** | ||
| 464 | * \brief Early detection of empty cells. | ||
| 465 | */ | ||
| 466 | bool has_empty_cells_; | ||
| 467 | |||
| 468 | /** | ||
| 469 | * \brief Number of reallocations when inserting vertices | ||
| 470 | * in sequential mode. | ||
| 471 | */ | ||
| 472 | index_t nb_reallocations_; | ||
| 473 | |||
| 474 | /** | ||
| 475 | * \brief Use exact predicates in convex cell. | ||
| 476 | */ | ||
| 477 | bool convex_cell_exact_predicates_; | ||
| 478 | |||
| 479 | struct Stats { | ||
| 480 | |||
| 481 | Stats(); | ||
| 482 | |||
| 483 | void reset(); | ||
| 484 | |||
| 485 | ✗ | std::string to_string() { | |
| 486 | ✗ | return raw_ ? to_string_raw() : to_string_pretty(); | |
| 487 | } | ||
| 488 | |||
| 489 | std::string to_string_raw() const; | ||
| 490 | std::string to_string_pretty() const; | ||
| 491 | |||
| 492 | /** | ||
| 493 | * If set, displays numbers without any formatting. | ||
| 494 | * Set by constructor if command line argument dbg:raw_logs is set. | ||
| 495 | */ | ||
| 496 | bool raw_; | ||
| 497 | |||
| 498 | double total_t_; | ||
| 499 | |||
| 500 | double phase_0_t_; | ||
| 501 | |||
| 502 | double phase_I_t_; | ||
| 503 | double phase_I_classify_t_; | ||
| 504 | index_t phase_I_nb_inside_; | ||
| 505 | index_t phase_I_nb_cross_; | ||
| 506 | index_t phase_I_nb_outside_; | ||
| 507 | double phase_I_insert_t_; | ||
| 508 | index_t phase_I_insert_nb_; | ||
| 509 | |||
| 510 | double phase_II_t_; | ||
| 511 | double phase_II_classify_t_; | ||
| 512 | double phase_II_insert_t_; | ||
| 513 | index_t phase_II_insert_nb_; | ||
| 514 | } stats_; | ||
| 515 | |||
| 516 | friend class LaguerreDiagramOmegaSimple3d; | ||
| 517 | }; | ||
| 518 | |||
| 519 | |||
| 520 | } | ||
| 521 | |||
| 522 | #endif | ||
| 523 |