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// Copyright (c) 2010-2011 CNRS and LIRIS' Establishments (France). // All rights reserved. // // This file is part of CGAL (www.cgal.org) // // $URL: https://github.com/CGAL/cgal/blob/v6.1/Combinatorial_map/include/CGAL/Combinatorial_map_basic_operations.h $ // $Id: include/CGAL/Combinatorial_map_basic_operations.h b26b07a1242 $ // SPDX-License-Identifier: LGPL-3.0-or-later OR LicenseRef-Commercial // // Author(s) : Guillaume Damiand // #ifndef CGAL_COMBINATORIAL_MAP_BASIC_OPERATIONS_H #define CGAL_COMBINATORIAL_MAP_BASIC_OPERATIONS_H 1 #include #include #include namespace CGAL { /** @file Combinatorial_map_basic_operations.h * Basic operations on a combinatorial map. */ /** Test if the two given darts belong to the same given orbit. * @param amap a combinatorial map. * @param adart1 the first dart. * @param adart2 the second dart. * @return true iff the two darts belong to the same orbit. */ template < class Map, class Iterator > bool belong_to_same_orbit(const Map & amap, typename Map::Dart_const_descriptor adart1, typename Map::Dart_const_descriptor adart2) { static_assert(std::is_same::value); bool found=false; for (Iterator it(amap, adart1); !found && it.cont(); ++it) { if (it == adart2) found = true; } return found; } /** Test if all the darts of a given orbit are marked. * @param amap a combinatorial map. * @param adart a dart of the orbit. * @param amark the mark. * @return true iff all the darts are marked. */ template < class Map, class Iterator > bool is_whole_orbit_marked(const Map & amap, typename Map::Dart_const_descriptor adart, typename Map::size_type amark) { static_assert(std::is_same::value); bool res=true; for ( Iterator it(amap, adart); res && it.cont(); ++it ) { if (!amap.is_marked(it, amark)) res = false; } return res; } /** Test if all the darts of a given orbit are unmarked. * @param amap a combinatorial map. * @param adart a dart of the orbit. * @param amark the mark. * @return true iff all the darts are unmarked. */ template < class Map, class Iterator > bool is_whole_orbit_unmarked(const Map & amap, typename Map::Dart_const_descriptor adart, typename Map::size_type amark) { amap.negate_mark(amark); bool res=CGAL::template is_whole_orbit_marked(amap, adart, amark); amap.negate_mark(amark); return res; } /** Mark a given orbit with a given mark. * @param amap a combinatorial map. * @param adart a dart of the orbit. * @param amark the mark. * @return the number of darts of the marked orbit. * @pre The whole orbit must be unmarked. */ template < class Map, class Iterator > typename Map::size_type mark_orbit(const Map & amap, typename Map::Dart_const_descriptor adart, typename Map::size_type amark) { static_assert(std::is_same::value); CGAL_assertion( (is_whole_orbit_unmarked > (amap, adart, amark)) ); typename Map::size_type res=0; for (Iterator it(amap, adart, amark); it.cont(); ++it) { amap.mark(it, amark); ++res; } return res; } /** Unmark a given orbit with a given mark. * @param amap a combinatorial map. * @param adart a dart of the orbit. * @param amark the mark. * @return the number of darts of the unmarked orbit. * @pre The whole orbit must be marked. */ template < class Map, class Iterator > typename Map::size_type unmark_orbit(const Map & amap, typename Map::Dart_const_descriptor adart, typename Map::size_type amark) { amap.negate_mark(amark); typename Map::size_type res=CGAL::template mark_orbit(amap, adart, amark); amap.negate_mark(amark); return res; } /** Test if the two given darts belong to the same cell. * @param amap a combinatorial map. * @param adart1 the first dart. * @param adart2 the second dart. * @return true iff the two darts belong to the same cell. */ template < class Map, unsigned int i, unsigned int d> bool belong_to_same_cell(const Map & amap, typename Map::Dart_const_descriptor adart1, typename Map::Dart_const_descriptor adart2) { return CGAL::belong_to_same_orbit::const_iterator> (amap, adart1, adart2); } template < class Map, unsigned int i> bool belong_to_same_cell(const Map & amap, typename Map::Dart_const_descriptor adart1, typename Map::Dart_const_descriptor adart2) { return CGAL::template belong_to_same_cell(amap,adart1,adart2); } /** Test if all the darts of a given cell are marked. * @param amap a combinatorial map. * @param adart a dart of the cell. * @param amark the mark. * @return true iff all the darts are marked. */ template < class Map, unsigned int i, unsigned int d> bool is_whole_cell_marked(const Map & amap, typename Map::Dart_const_descriptor adart, typename Map::size_type amark) { return CGAL::template is_whole_orbit_marked::const_iterator> (amap, adart, amark); } template < class Map, unsigned int i> bool is_whole_cell_marked(const Map & amap, typename Map::Dart_const_descriptor adart, typename Map::size_type amark) { return CGAL::template is_whole_cell_marked (amap,adart,amark); } /** Test if all the darts of a given cell are unmarked. * @param amap a combinatorial map. * @param adart a dart of the cell. * @param amark the mark. * @return true iff all the darts are marked. */ template < class Map, unsigned int i, unsigned int d > bool is_whole_cell_unmarked(const Map & amap, typename Map::Dart_const_descriptor adart, typename Map::size_type amark) { return CGAL::template is_whole_orbit_unmarked::const_iterator> (amap, adart, amark); } template < class Map, unsigned int i> bool is_whole_cell_unmarked(const Map & amap, typename Map::Dart_const_descriptor adart, typename Map::size_type amark) { return CGAL::template is_whole_cell_unmarked (amap,adart,amark); } /** Mark a given cell with a given mark. * @param amap a combinatorial map. * @param adart a dart of the cell. * @param amark the mark. * @return the number of darts of the marked cell. * @pre The whole cell must be unmarked. */ template < class Map, unsigned int i, unsigned int d > typename Map::size_type mark_cell(const Map & amap, typename Map::Dart_const_descriptor adart, typename Map::size_type amark) { return CGAL::template mark_orbit::const_iterator> (amap, adart, amark); } template < class Map, unsigned int i> typename Map::size_type mark_cell(const Map & amap, typename Map::Dart_const_descriptor adart, typename Map::size_type amark) { return CGAL::template mark_cell(amap, adart, amark);} /** Unmark a given cell with a given mark. * @param amap a combinatorial map. * @param adart a dart of the cell. * @param amark the mark. * @return the number of darts of the unmarked cell. * @pre The whole cell must be marked. */ template < class Map, unsigned int i, unsigned int d > typename Map::size_type unmark_cell(const Map & amap, typename Map::Dart_const_descriptor adart, typename Map::size_type amark) { return CGAL::template unmark_orbit::const_iterator> (amap, adart, amark);} template < class Map, unsigned int i > typename Map::size_type unmark_cell(const Map & amap, typename Map::Dart_const_descriptor adart, typename Map::size_type amark) { return CGAL::template unmark_cell(amap, adart, amark); } /// Functor to test if the given dart must be marked, when we want /// to mark an oriented orbit. By default (for CMap), return true. template struct Need_to_mark_for_oriented_cell { static bool run(const Map & /*amap*/, typename Map::Dart_const_descriptor /*adart*/, typename Map::size_type /*amark*/, OperationState /*op*/) { return true; } }; struct Generalized_map_tag; /// Specialization for GMap. We mark one out of two darts. template struct Need_to_mark_for_oriented_cell { static bool run(const Map & amap, typename Map::Dart_const_descriptor adart, typename Map::size_type amark, OperationState op) { CGAL_assertion(op!=OP_END); if (op==OP_NONE) return true; bool all_darts_unmarked=true; for (int i=0; all_darts_unmarked && i<=(int)Map::dimension; ++i) { if (!amap.is_free(adart, i) && amap.is_marked(amap.alpha(adart, i), amark)) { all_darts_unmarked=false; } } return all_darts_unmarked; } }; /** Mark a given oriented orbit with a given mark. For combinatorial map, * equivalent to mark_orbit. For generalized map, mark one out of two dart * if the orbit is orientable. If amark2!=INVALID_MARK, mark also all the darts * of the orbit with amark2. * @param amap a combinatorial map / generalized. * @param adart a dart of the orbit. * @param amark the mark. * @param amark2 a second mark. * @return the number of darts of the marked orbit. * @pre The whole orbit must be unmarked. */ template < class Map, class Iterator > typename Map::size_type mark_oriented_orbit(const Map & amap, typename Map::Dart_const_descriptor adart, typename Map::size_type amark, typename Map::size_type amark2=Map::INVALID_MARK) { static_assert(std::is_same::value); CGAL_assertion( (is_whole_orbit_unmarked > (amap, adart, amark)) ); typename Map::size_type res=0; typename Map::size_type amark3=(amark2==Map::INVALID_MARK?amap.get_new_mark():amark2); for (Iterator it(amap, adart, amark3); it.cont(); ++it) { amap.mark(it, amark3); if (CGAL::template Need_to_mark_for_oriented_cell:: run(amap, it, amark, it.prev_operation())) { amap.mark(it, amark); ++res; } } if (amark2==Map::INVALID_MARK) { CGAL::template unmark_orbit(amap, adart, amark3); amap.free_mark(amark3); } return res; } template < class Map, class Iterator > typename Map::size_type unmark_oriented_orbit(const Map & amap, typename Map::Dart_const_descriptor adart, typename Map::size_type amark, typename Map::size_type amark2=Map::INVALID_MARK) { amap.negate_mark(amark); if (amark2!=Map::INVALID_MARK) { amap.negate_mark(amark2); } typename Map::size_type res=CGAL::template mark_oriented_orbit(amap, adart, amark, amark2); amap.negate_mark(amark); if (amark2!=Map::INVALID_MARK) { amap.negate_mark(amark2); } return res; } /** Mark a given oriented cell with a given mark. For combinatorial map, * equivalent to mark_cell. For generalized map, mark one out of two dart * if the cell is orientable. If amark2!=INVALID_MARK, mark also all the darts * of the cell with amark2. * @param amap a combinatorial map / generalized. * @param adart a dart of the cell. * @param amark the mark. * @param amark2 a second mark. * @return the number of darts of the marked cell. * @pre The whole cell must be unmarked. */ template < class Map, unsigned int i, unsigned int d > typename Map::size_type mark_oriented_cell(const Map & amap, typename Map::Dart_const_descriptor adart, typename Map::size_type amark, typename Map::size_type amark2=Map::INVALID_MARK) { return CGAL::template mark_oriented_orbit ::const_iterator> (amap, adart, amark, amark2); } template < class Map, unsigned int i> typename Map::size_type mark_oriented_cell(const Map & amap, typename Map::Dart_const_descriptor adart, typename Map::size_type amark, typename Map::size_type amark2=Map::INVALID_MARK) { return CGAL::template mark_oriented_cell (amap, adart, amark, amark2);} /** Unmark a given oriented cell with a given mark. * @param amap a combinatorial map. * @param adart a dart of the cell. * @param amark the mark. * @return the number of darts of the unmarked cell. * @pre The whole cell must be marked. */ template < class Map, unsigned int i, unsigned int d > typename Map::size_type unmark_oriented_cell(const Map & amap, typename Map::Dart_const_descriptor adart, typename Map::size_type amark, typename Map::size_type amark2=Map::INVALID_MARK) { return CGAL::template unmark_oriented_orbit ::const_iterator> (amap, adart, amark, amark2);} template < class Map, unsigned int i > typename Map::size_type unmark_oriented_cell(const Map & amap, typename Map::Dart_const_descriptor adart, typename Map::size_type amark, typename Map::size_type amark2=Map::INVALID_MARK) { return CGAL::template unmark_oriented_cell (amap, adart, amark, amark2); } /** Compute the degree of a given i-cell c. * The degree is the number of distinct i+1 cells incident to c. * @param amap a combinatorial map. * @param adart a dart of the cell. * @return the degree of the cell. */ template < class Map, unsigned int i > typename Map::size_type degree(const Map & amap, typename Map::Dart_const_descriptor adart) { CGAL_assertion(adart!=amap.null_descriptor); typename Map::size_type nbIncident = 0; typename Map::size_type mark; typename Map::size_type treated; mark = amap.get_new_mark(); treated = amap.get_new_mark(); typename Map::template Dart_of_cell_basic_range::const_iterator it(amap, adart, mark); for ( ;it.cont(); ++it ) { if (!amap.is_marked(it, treated)) { ++nbIncident; CGAL::mark_cell(amap, it, treated); } amap.mark(it,mark); } amap.negate_mark(mark); for (it.rewind(); it.cont(); ++it) { if (amap.is_marked(it, treated)) { CGAL::unmark_cell(amap, it, treated); } amap.mark(it,mark); } amap.negate_mark(mark); CGAL_assertion( amap.is_whole_map_unmarked(mark) ); CGAL_assertion( amap.is_whole_map_unmarked(treated) ); amap.free_mark(mark); amap.free_mark(treated); CGAL_assertion(nbIncident != 0); return nbIncident; } /** Compute the co-degree of a given i-cell c. * The co-degree is the number of distinct i-1 cells incident to c. * @param amap a combinatorial map. * @param adart a dart of the cell. * @return the co-degree of the cell. */ template < class Map, unsigned int i > typename Map::size_type codegree(const Map & amap, typename Map::Dart_const_descriptor adart) { CGAL_assertion(adart!=amap.null_descriptor); typename Map::size_type nbIncident = 0; typename Map::size_type mark; typename Map::size_type treated; mark = amap.get_new_mark(); treated = amap.get_new_mark(); typename Map::template Dart_of_cell_basic_range::const_iterator it(amap, adart, mark); for ( ; it.cont(); ++it) { if (!amap.is_marked(it, treated)) { ++nbIncident; CGAL::mark_cell(amap, it, treated); } amap.mark(it,mark); } amap.negate_mark(mark); for (it.rewind(); it.cont(); ++it) { if (amap.is_marked(it, treated)) { CGAL::unmark_cell(amap, it, treated); } amap.mark(it,mark); } amap.negate_mark(mark); CGAL_assertion( amap.is_whole_map_unmarked(mark) ); CGAL_assertion( amap.is_whole_map_unmarked(treated) ); amap.free_mark(mark); amap.free_mark(treated); CGAL_assertion(nbIncident != 0); return nbIncident; } } // namespace CGAL #endif // CGAL_COMBINATORIAL_MAP_BASIC_OPERATIONS_H // // EOF //