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// Copyright (c) 2006-2009 Max-Planck-Institute Saarbruecken (Germany). // All rights reserved. // // This file is part of CGAL (www.cgal.org) // // $URL: https://github.com/CGAL/cgal/blob/v6.1/Algebraic_kernel_d/include/CGAL/Algebraic_kernel_d/Status_line_CPA_1.h $ // $Id: include/CGAL/Algebraic_kernel_d/Status_line_CPA_1.h b26b07a1242 $ // SPDX-License-Identifier: LGPL-3.0-or-later OR LicenseRef-Commercial // // // Author(s) : Pavel Emeliyanenko // // ============================================================================ #ifndef CGAL_ALGEBRAIC_CURVE_KERNEL_STATUS_LINE_CPA_1_H #define CGAL_ALGEBRAIC_CURVE_KERNEL_STATUS_LINE_CPA_1_H #include #include #include namespace CGAL { namespace internal { template < class CurvePairAnalysis_2, class Rep_ > class Status_line_CPA_1; template std::ostream& operator<< (std::ostream&, const Status_line_CPA_1&); template < class CurvePairAnalysis_2 > class Status_line_CPA_1_rep { // this template argument typedef CurvePairAnalysis_2 Curve_pair_analysis_2; // myself typedef Status_line_CPA_1_rep Self; // type of x-coordinate typedef typename Curve_pair_analysis_2::Algebraic_real_1 Algebraic_real_1; // type of a curve point typedef typename Curve_pair_analysis_2::Algebraic_real_2 Algebraic_real_2; // an instance of a size type typedef typename Curve_pair_analysis_2::size_type size_type; // encodes number of arcs to the left and to the right typedef std::pair Arc_pair; // container of arcs typedef std::vector Arc_container; // container of integers ? typedef std::vector Int_container; // constructors public: // default constructor () Status_line_CPA_1_rep() { } // constructs an empty status line object Status_line_CPA_1_rep(size_type i, Curve_pair_analysis_2 cpa) : _m_index(i), _m_cpa(cpa), _m_event(false), _m_intersection(false) { } // stores this status line interval or event index of a curve pair size_type _m_index; // represents x-coordinate of event of rational value over interval // computed only by demand mutable std::optional _m_x; // for each event point stores a pair of arcnos of the 1st and 2nd curve // or -1 if respective curve is not involved mutable Arc_container _m_arcs; // inverse mapping from arcnos of the 1st and 2nd curve to respective // y-position mutable Int_container _m_arcno_to_pos[2]; // stores multiplicities of intersection points (-1 if there is no 2-curve // intersection) mutable Int_container _m_mults; // underlying curve pair analysis Curve_pair_analysis_2 _m_cpa; // is there an event mutable bool _m_event; // is there is an intersection of both curves mutable bool _m_intersection; // befriending the handle friend class Status_line_CPA_1; }; //! \brief The class provides information about the intersections of a pair of //! curves with a (intended) vertical line (ignoring vertical lines of the //! curves themselves). //! //! Each intersection of a curve with the vertical line defined by some given x //! induces an event. An event can be asked for its coordinates //! (\c Algebraic_real_2) and the involved curve(s). Note that the involvement //! also holds for curve ends approaching the vertical asymptote. //! Curve_pair_vertical_line_1 at x = +/-oo are not allowed. template > class Status_line_CPA_1 : public ::CGAL::Handle_with_policy< Rep_ > { public: //!@{ //!\name typedefs //! this instance's first template parameter typedef CurvePairAnalysis_2 Curve_pair_analysis_2; //! this instance's second template parameter typedef Rep_ Rep; //! this instance itself typedef Status_line_CPA_1 Self; //! type of x-coordinate typedef typename Curve_pair_analysis_2::Algebraic_real_1 Algebraic_real_1; //! type of a curve point typedef typename Curve_pair_analysis_2::Algebraic_real_2 Algebraic_real_2; //! an instance of a size type typedef typename Curve_pair_analysis_2::size_type size_type; //! encodes number of arcs to the left and to the right typedef std::pair Arc_pair; //! container of arcs typedef std::vector Arc_container; //! container of integers ? typedef std::vector Int_container; //! the handle superclass typedef ::CGAL::Handle_with_policy< Rep > Base; //!@} public: //!\name constructors //!@{ /*!\brief * Default constructor */ Status_line_CPA_1() : Base(Rep()) { } /*!\brief * copy constructor */ #ifdef DOXYGEN_RUNNING Status_line_CPA_1(const Self& p) : Base(static_cast(p)) { } #endif /*!\brief * constructs undefined status line */ Status_line_CPA_1(size_type i, Curve_pair_analysis_2 cpa) : Base(Rep(i, cpa)) { } /*!\brief * constructs a status line at the \c i -th event of a curve pair * * each element of \c arcs is a pair with the first item specifying the * type of event (0 - event of the 1st curve, 1 - of the second curve, * 2 - of both curves), and the second item - multiplicity of intersection * or -1 if not available */ Status_line_CPA_1(size_type i, const Arc_container& arcs, Curve_pair_analysis_2 cpa) : Base(Rep(i, cpa)) { _set_event_arcs(arcs); } /*!\brief * constructs a status line over the \c i -th interval of a curve pair * * each element of \c arcs specifies to which curve a respective arc * belongs to (0 - arc of the 1st curve, 1 - arc of the 2nd curve) * \c is_swapped defines that the curves in targeting curve pair analysis * were swapped during precaching */ Status_line_CPA_1(size_type i, const Int_container& arcs, Curve_pair_analysis_2 cpa) : Base(Rep(i, cpa)) { _set_interval_arcs(arcs); } protected: /*!\brief * constructs from a given representation */ Status_line_CPA_1(Rep rep) : Base(rep) { } //!@} public: //!\name access functions //!@{ /*! \brief * returns the x-coordinate of the vertical line (always a finite value). */ Algebraic_real_1 x() const { // unless x-coordiate was explicitly set with _set_x: compute its value if(!this->ptr()->_m_x) { this->ptr()->_m_x = (is_event() ? #if CGAL_ACK_USE_EXACUS this->ptr()->_m_cpa._internal_curve_pair().event_x(index()) : Algebraic_real_1(this->ptr()->_m_cpa._internal_curve_pair(). bound_value_in_interval(index()))); #else this->ptr()->_m_cpa.event_x(index()) : Algebraic_real_1(this->ptr()->_m_cpa. bound_value_in_interval(index()))); #endif } return *(this->ptr()->_m_x); } //! returns this vertical line's index (event or interval index) size_type index() const { CGAL_precondition(this->ptr()->_m_index>=0); return this->ptr()->_m_index; } /*! \brief * returns number of distinct and finite intersections of a pair * of curves with a (intended) vertical line ignoring a real vertical * line component of the curve at the given x-coordinate. */ size_type number_of_events() const { return static_cast(this->ptr()->_m_arcs.size()); } /*! \brief * returns the y-position of the k-th event of * the curve in the sequence of events. * * Note that each event is formed by the 1st, 2nd, or both curves * * \pre 0 <= k < "number of arcs defined for curve c at x()" */ size_type event_of_curve(size_type k, const typename Curve_pair_analysis_2 ::Curve_analysis_2& c) const { CGAL_assertion(c.id()==this->ptr()->_m_cpa.curve_analysis(false).id()|| c.id()==this->ptr()->_m_cpa.curve_analysis(true).id()); bool b = (c.id()==this->ptr()->_m_cpa.curve_analysis(true).id()); return event_of_curve(k,b); } /*! \brief * returns the y-position of the k-th event of the c-th (0 or 1) * curve in the sequence of events. * * Note that each event is formed by the 1st, 2nd, or both curves * * \pre 0 <= k < "number of arcs defined for curve[c] at x()" */ size_type event_of_curve(size_type k, bool c) const { CGAL_precondition_msg(0 <= k && k < static_cast(this->ptr()->_m_arcno_to_pos[c].size()), "Invalid arc number of the c-th curve specified"); return this->ptr()->_m_arcno_to_pos[c][k]; } /*! \brief * returns the multiplicity of intersection defined at event with * position \c j. May return -1 in case multiplicity is unknown. * * \pre There is an intersection of both curves at j-th event * \pre 0 <= j < number_of_events() */ size_type multiplicity_of_intersection(size_type j) const { CGAL_precondition(0 <= j && j < number_of_events()); CGAL_precondition(is_intersection()); CGAL_precondition(this->ptr()->_m_arcs[j].first != -1 && this->ptr()->_m_arcs[j].second != -1); return this->ptr()->_m_mults[j]; } /*! \brief * returns a pair of \c int indicating whether event \c j is formed * by which arc numbers of the first and the second curve, or -1, if the * corresponding curve is not involved. * * \pre 0 <= j < number_of_events() */ Arc_pair curves_at_event(size_type j) const { CGAL_precondition(0 <= j && j < number_of_events()); const Arc_pair& arc = this->ptr()->_m_arcs[j]; return arc; } /*! * returns an index indicating whether event \c j is formed * by which arc numbers of the curve \c ca, or -1, if the * corresponding curve is not involved. */ Arc_pair curves_at_event(size_type j, const typename Curve_pair_analysis_2 ::Curve_analysis_2& c1, const typename Curve_pair_analysis_2 ::Curve_analysis_2& CGAL_assertion_code(c2)) const { CGAL_precondition(0 <= j && j < number_of_events()); CGAL_assertion(c1.id()!=c2.id()); CGAL_assertion (c1.id()==this->ptr()->_m_cpa.curve_analysis(false).id()|| c1.id()==this->ptr()->_m_cpa.curve_analysis(true).id()); CGAL_assertion (c2.id()==this->ptr()->_m_cpa.curve_analysis(false).id()|| c2.id()==this->ptr()->_m_cpa.curve_analysis(true).id()); bool b = (c1.id()==this->ptr()->_m_cpa.curve_analysis(false).id()); const Arc_pair& arc_pair = curves_at_event(j); return b ? arc_pair : std::make_pair(arc_pair.second, arc_pair.first); } /*! \brief * returns true if a curve has an event or in case there is an * intersection of both curves. */ bool is_event() const { return this->ptr()->_m_event; } /*! \brief * returns true if there is an intersection of both curves. */ bool is_intersection() const { return this->ptr()->_m_intersection; } //!@} public: //!@{ /*!\brief * sets x-coordinate of a status line */ void _set_x(Algebraic_real_1 x) const { this->ptr()->_m_x = x; } /*!\brief * sets arcs at event (use at your own risk!) */ void _set_event_arcs(const Arc_container& arcs) const { size_type k = 0, arcf = 0, arcg = 0; this->ptr()->_m_arcs.resize(arcs.size()); this->ptr()->_m_mults.resize(arcs.size()); this->ptr()->_m_event = true; for(typename Arc_container::const_iterator ait = arcs.begin(); ait != arcs.end(); ait++, k++) { if(ait->first == 0) { // 1st curve this->ptr()->_m_arcs[k].first = arcf++; this->ptr()->_m_arcs[k].second = -1; this->ptr()->_m_arcno_to_pos[0].push_back(k); } else if(ait->first == 1) { // 2nd curve this->ptr()->_m_arcs[k].first = -1; this->ptr()->_m_arcs[k].second = arcg++; this->ptr()->_m_arcno_to_pos[1].push_back(k); } else if(ait->first == 2) { // intersection this->ptr()->_m_arcs[k].first = arcf++; this->ptr()->_m_arcs[k].second = arcg++; this->ptr()->_m_arcno_to_pos[0].push_back(k); this->ptr()->_m_arcno_to_pos[1].push_back(k); this->ptr()->_m_intersection = true; } else CGAL_error_msg("Bogus curve index.."); this->ptr()->_m_mults[k] = ait->second; } } /*!\brief * sets arcs over interval (use at your own risk!) */ void _set_interval_arcs(const Int_container& arcs) const { this->ptr()->_m_arcs.resize(arcs.size()); this->ptr()->_m_event = false; this->ptr()->_m_intersection = false; size_type k = 0, arcf = 0, arcg = 0; for(typename Int_container::const_iterator ait = arcs.begin(); ait != arcs.end(); ait++, k++) { if(*ait == 0) { // 1st curve this->ptr()->_m_arcs[k].first = arcf++; this->ptr()->_m_arcs[k].second = -1; this->ptr()->_m_arcno_to_pos[0].push_back(k); } else if(*ait == 1) { // 2nd curve this->ptr()->_m_arcs[k].first = -1; this->ptr()->_m_arcs[k].second = arcg++; this->ptr()->_m_arcno_to_pos[1].push_back(k); } else CGAL_error_msg("Bogus curve index.."); } } //!@} public: //!\name IO //!@{ void write(std::ostream& os) const { os << "status_line [CPA@" << this->ptr()->_m_cpa.id(); os << "; x = " << (index()==-1 ? 999.999 : CGAL::to_double(x())) << "; #events: " << number_of_events() << "; "; typename Arc_container::const_iterator ait = this->ptr()->_m_arcs.begin(); if(is_event()) os << "arcs at event: {"; else os << "arcs of interval: {"; for(; ait != this->ptr()->_m_arcs.end(); ait++) { if(ait != this->ptr()->_m_arcs.begin()) os << ", "; os << "(" << ait->first << "; " << ait->second << ")"; } os << "}, arcno2pos: ("; CGAL::output_range(os, this->ptr()->_m_arcno_to_pos[0].begin(), this->ptr()->_m_arcno_to_pos[0].end(), ","); os << "), ("; CGAL::output_range(os, this->ptr()->_m_arcno_to_pos[1].begin(), this->ptr()->_m_arcno_to_pos[1].end(), ","); os << ")]"; } //!@} }; // class Status_line_CPA_1 template std::ostream& operator<< (std::ostream& os, const internal::Status_line_CPA_1& sline) { sline.write(os); return os; } } // namespace internal } //namespace CGAL #endif // CGAL_ALGEBRAIC_CURVE_KERNEL_STATUS_LINE_CPA_1_H