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// Copyright (c) 2007 INRIA Sophia-Antipolis (France). // All rights reserved. // // This file is part of CGAL (www.cgal.org). // // $URL: https://github.com/CGAL/cgal/blob/v6.1/Apollonius_graph_2/include/CGAL/Apollonius_graph_2/Incircle8_C2.h $ // $Id: include/CGAL/Apollonius_graph_2/Incircle8_C2.h b26b07a1242 $ // SPDX-License-Identifier: GPL-3.0-or-later OR LicenseRef-Commercial // // // Author(s) : Menelaos Karavelas #ifndef CGAL_APOLLONIUS_GRAPH_2_INCIRCLE8_C2_H #define CGAL_APOLLONIUS_GRAPH_2_INCIRCLE8_C2_H #include #include #include namespace CGAL { namespace ApolloniusGraph_2 { //-------------------------------------------------------------------- template < class K, class MTag > class Vertex_conflict8_2 : public Vertex_conflict_2 { private: typedef Vertex_conflict_2 Base; public: typedef typename Base::Kernel Kernel; typedef typename Base::Method_tag Method_tag; typedef typename Base::Site_2 Site_2; typedef typename Base::FT FT; typedef typename Base::Sign Sign; public: typedef Sign result_type; typedef Site_2 argument_type; private: inline Sign predicate(const FT& Exp, const FT& Eyp, const FT& Erp, const FT& Exrp, const FT& Eyrp, const FT& Exyp, const Field_with_sqrt_tag&) const { FT G = CGAL::square(Exp) + CGAL::square(Eyp) - CGAL::square(Erp); return CGAL::sign(Exp * Exrp + Eyp * Eyrp + Exyp * CGAL::sqrt(G)); } inline Sign predicate(const FT& Exp, const FT& Eyp, const FT& /* Erp */, const FT& Exrp, const FT& Eyrp, const FT& Exyp, const Integral_domain_without_division_tag&) const { Sign sA = CGAL::sign(Exp * Exrp + Eyp * Eyrp); Sign sB = CGAL::sign(Exyp); if ( sA == CGAL::ZERO ) { return sB; } if ( sB == CGAL::ZERO ) { return sA; } if ( sA == sB ) { return sA; } Sign s = CGAL::sign(CGAL::square(Exrp) + CGAL::square(Eyrp) - CGAL::square(Exyp)); return sA * s; } public: inline Sign operator()(const Site_2& p1, const Site_2& p2, const Site_2& p3, const Site_2& q) const { #ifdef AG2_PROFILE_PREDICATES ag2_predicate_profiler::incircle_counter++; #endif FT xj = p2.x() - p1.x(); FT xk = p3.x() - p1.x(); FT xl = q.x() - p1.x(); FT yj = p2.y() - p1.y(); FT yk = p3.y() - p1.y(); FT yl = q.y() - p1.y(); FT rj = p2.weight() - p1.weight(); FT rk = p3.weight() - p1.weight(); FT rl = q.weight() - p1.weight(); FT pj = CGAL::square(xj) + CGAL::square(yj) - CGAL::square(rj); FT pk = CGAL::square(xk) + CGAL::square(yk) - CGAL::square(rk); FT pl = CGAL::square(xl) + CGAL::square(yl) - CGAL::square(rl); FT Exp = determinant(xj, pj, xk, pk); FT Eyp = determinant(yj, pj, yk, pk); FT Erp = determinant(rj, pj, rk, pk); FT Exy = determinant(xj, yj, xk, yk); FT Exr = determinant(xj, rj, xk, rk); FT Eyr = determinant(yj, rj, yk, rk); FT Exyp = xl * Eyp - yl * Exp + pl * Exy; FT Exrp = xl * Erp - rl * Exp + pl * Exr; FT Eyrp = yl * Erp - rl * Eyp + pl * Eyr; return predicate(Exp, Eyp, Erp, Exrp, Eyrp, Exyp, Method_tag()); } inline Sign operator()(const Site_2& p1, const Site_2& p2, const Site_2& q) const { return Base::operator()(p1, p2, q); } }; //-------------------------------------------------------------------- } //namespace ApolloniusGraph_2 } //namespace CGAL #endif // CGAL_APOLLONIUS_GRAPH_2_INCIRCLE8_C2_H