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// Copyright (c) 2000 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/Partition_2/include/CGAL/Partition_2/Indirect_edge_compare.h $ // $Id: include/CGAL/Partition_2/Indirect_edge_compare.h b26b07a1242 $ // SPDX-License-Identifier: GPL-3.0-or-later OR LicenseRef-Commercial // // // Author(s) : Susan Hert #ifndef CGAL_INDIRECT_EDGE_COMPARE_H #define CGAL_INDIRECT_EDGE_COMPARE_H #include namespace CGAL { // // given circulators to endpoints of two edges, sorts the edges that come // next (in the direction of circulator) from right to left. This ordering // makes finding the edge directly left of a given edge (needed for the // y-monotone decomposition algorithm) easy. // template class Indirect_edge_compare { public: typedef typename Traits::Orientation_2 Orientation_2; typedef typename Traits::Compare_y_2 Compare_y_2; typedef typename Traits::Compare_x_2 Compare_x_2; typedef typename Traits::Point_2 Point_2; Indirect_edge_compare(const Traits& traits) : _orientation_2(traits.orientation_2_object()), _compare_y_2(traits.compare_y_2_object()), _compare_x_2(traits.compare_x_2_object()) { } // determines if the edge (edge_vtx_1, edge_vtx_1++) has a larger // x value than vertex.x at y-value vertex.y bool larger_x_at_vertex_y(ForwardCirculator edge_vtx_1, ForwardCirculator vertex) const { ForwardCirculator edge_vtx_2 = edge_vtx_1; edge_vtx_2++; // check for horizontal edge if(_compare_y_2(Point_2(*edge_vtx_1), Point_2(*edge_vtx_2)) == EQUAL) { // compare the smaller x and vertex x if(_compare_x_2(Point_2(*edge_vtx_1), Point_2(*edge_vtx_2)) == SMALLER) return _compare_x_2(Point_2(*edge_vtx_1), Point_2(*vertex)) == LARGER; else return _compare_x_2(Point_2(*edge_vtx_2), Point_2(*vertex)) == LARGER; } else { // construct supporting line for edge return compare_x_at_y(Point_2(*vertex), Point_2(*edge_vtx_1), Point_2(*edge_vtx_2)) == SMALLER; } } Comparison_result compare_x_at_y(const Point_2& p, const Point_2& a, const Point_2& b) const { Orientation ori = _orientation_2(a, b, p); if(ori == COLLINEAR){ return EQUAL; } if(_compare_y_2(a, b) == SMALLER){ // a below b return (ori == RIGHT_TURN) ? LARGER : SMALLER; }else { // a above b return (ori == LEFT_TURN) ? LARGER : SMALLER; } } bool operator()(ForwardCirculator p, ForwardCirculator q) const { ForwardCirculator after_p = p; after_p++; ForwardCirculator after_q = q; after_q++; if (p == q && after_p == after_q) return false; if (p == after_q) return larger_x_at_vertex_y(p, q); if (after_p == q) return !larger_x_at_vertex_y(q, p); if (p == q) return larger_x_at_vertex_y(p, after_q); if (after_p == after_q) return larger_x_at_vertex_y(p, q); // else neither endpoint is shared // construct supporting line if(_compare_y_2(Point_2(*p), Point_2(*after_p)) == EQUAL) { if(_compare_y_2(Point_2(*q), Point_2(*after_q)) == EQUAL) { Point_2 p_max; Point_2 q_max; if (_compare_x_2(Point_2(*p), Point_2(*after_p)) == SMALLER) p_max = *after_p; else p_max = *p; if (_compare_x_2(Point_2(*q), Point_2(*after_q)) == SMALLER) q_max = *after_q; else q_max = *q; return (_compare_x_2(p_max, q_max) == LARGER); } else // p and after_p must both be on same side of l_q { return (compare_x_at_y(Point_2(*p), Point_2(*q), Point_2(*after_q)) == LARGER); } } // lp is not horizontal bool q_larger_x = compare_x_at_y(Point_2(*q), Point_2(*p), Point_2(*after_p)) == SMALLER; bool after_q_larger_x = compare_x_at_y(Point_2(*after_q), Point_2(*p), Point_2(*after_p)) == SMALLER; if (q_larger_x == after_q_larger_x) return q_larger_x; // else one smaller and one larger // construct the other line if(_compare_y_2(Point_2(*q), Point_2(*after_q)) == EQUAL) { return compare_x_at_y(Point_2(*q), Point_2(*p), Point_2(*after_p)) == LARGER; } return compare_x_at_y(Point_2(*p), Point_2(*q), Point_2(*after_q)) != SMALLER; } private: Orientation_2 _orientation_2; Compare_y_2 _compare_y_2; Compare_x_2 _compare_x_2; }; } #endif // CGAL_INDIRECT_EDGE_COMPARE_H