/** * @file * @brief Structure representing the intersection of two curves *//* * Authors: * Michael Sloan * Marco Cecchetti * * Copyright 2006-2008 authors * * This library is free software; you can redistribute it and/or * modify it either under the terms of the GNU Lesser General Public * License version 2.1 as published by the Free Software Foundation * (the "LGPL") or, at your option, under the terms of the Mozilla * Public License Version 1.1 (the "MPL"). If you do not alter this * notice, a recipient may use your version of this file under either * the MPL or the LGPL. * * You should have received a copy of the LGPL along with this library * in the file COPYING-LGPL-2.1; if not, write to the Free Software * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA * You should have received a copy of the MPL along with this library * in the file COPYING-MPL-1.1 * * The contents of this file are subject to the Mozilla Public License * Version 1.1 (the "License"); you may not use this file except in * compliance with the License. You may obtain a copy of the License at * http://www.mozilla.org/MPL/ * * This software is distributed on an "AS IS" basis, WITHOUT WARRANTY * OF ANY KIND, either express or implied. See the LGPL or the MPL for * the specific language governing rights and limitations. * */ #ifndef __GEOM_CROSSING_H #define __GEOM_CROSSING_H #include #include <2geom/rect.h> #include <2geom/sweep.h> #include #include <2geom/path.h> namespace Geom { //Crossing between one or two paths struct Crossing { bool dir; //True: along a, a becomes outside. double ta, tb; //time on a and b of crossing unsigned a, b; //storage of indices Crossing() : dir(false), ta(0), tb(1), a(0), b(1) {} Crossing(double t_a, double t_b, bool direction) : dir(direction), ta(t_a), tb(t_b), a(0), b(1) {} Crossing(double t_a, double t_b, unsigned ai, unsigned bi, bool direction) : dir(direction), ta(t_a), tb(t_b), a(ai), b(bi) {} bool operator==(const Crossing & other) const { return a == other.a && b == other.b && dir == other.dir && ta == other.ta && tb == other.tb; } bool operator!=(const Crossing & other) const { return !(*this == other); } unsigned getOther(unsigned cur) const { return a == cur ? b : a; } double getTime(unsigned cur) const { return a == cur ? ta : tb; } double getOtherTime(unsigned cur) const { return a == cur ? tb : ta; } bool onIx(unsigned ix) const { return a == ix || b == ix; } }; typedef boost::optional OptCrossing; /* struct Edge { unsigned node, path; double time; bool reverse; Edge(unsigned p, double t, bool r) : path(p), time(t), reverse(r) {} bool operator==(Edge const &other) const { return other.path == path && other.time == time && other.reverse == reverse; } }; struct CrossingNode { std::vector edges; CrossingNode() : edges(std::vector()) {} explicit CrossingNode(std::vector es) : edges(es) {} void add_edge(Edge const &e) { if(std::find(edges.begin(), edges.end(), e) == edges.end()) edges.push_back(e); } double time_on(unsigned p) { for(unsigned i = 0; i < edges.size(); i++) if(edges[i].path == p) return edges[i].time; std::cout << "CrossingNode time_on failed\n"; return 0; } }; typedef std::vector CrossingGraph; struct TimeOrder { bool operator()(Edge a, Edge b) { return a.time < b.time; } }; class Path; CrossingGraph create_crossing_graph(std::vector const &p, Crossings const &crs); */ /*inline bool are_near(Crossing a, Crossing b) { return are_near(a.ta, b.ta) && are_near(a.tb, b.tb); } struct NearF { bool operator()(Crossing a, Crossing b) { return are_near(a, b); } }; */ struct CrossingOrder { unsigned ix; bool rev; CrossingOrder(unsigned i, bool r = false) : ix(i), rev(r) {} bool operator()(Crossing a, Crossing b) { if(rev) return (ix == a.a ? a.ta : a.tb) < (ix == b.a ? b.ta : b.tb); else return (ix == a.a ? a.ta : a.tb) > (ix == a.a ? a.ta : a.tb); } }; typedef std::vector Crossings; typedef std::vector CrossingSet; template std::vector bounds(C const &a) { std::vector rs; for (unsigned i = 0; i < a.size(); i++) { OptRect bb = a[i].boundsFast(); if (bb) { rs.push_back(*bb); } } return rs; } // provide specific method for Paths because paths can be closed or open. Path::size() is named somewhat wrong... std::vector bounds(Path const &a); inline void sort_crossings(Crossings &cr, unsigned ix) { std::sort(cr.begin(), cr.end(), CrossingOrder(ix)); } template struct Crosser { virtual ~Crosser() {} virtual Crossings crossings(T const &a, T const &b) { return crossings(std::vector(1,a), std::vector(1,b))[0]; } virtual CrossingSet crossings(std::vector const &a, std::vector const &b) { CrossingSet results(a.size() + b.size(), Crossings()); std::vector > cull = sweep_bounds(bounds(a), bounds(b)); for(unsigned i = 0; i < cull.size(); i++) { for(unsigned jx = 0; jx < cull[i].size(); jx++) { unsigned j = cull[i][jx]; unsigned jc = j + a.size(); Crossings cr = crossings(a[i], b[j]); for(unsigned k = 0; k < cr.size(); k++) { cr[k].a = i; cr[k].b = jc; } //Sort & add A-sorted crossings sort_crossings(cr, i); Crossings n(results[i].size() + cr.size()); std::merge(results[i].begin(), results[i].end(), cr.begin(), cr.end(), n.begin(), CrossingOrder(i)); results[i] = n; //Sort & add B-sorted crossings sort_crossings(cr, jc); n.resize(results[jc].size() + cr.size()); std::merge(results[jc].begin(), results[jc].end(), cr.begin(), cr.end(), n.begin(), CrossingOrder(jc)); results[jc] = n; } } return results; } }; void merge_crossings(Crossings &a, Crossings &b, unsigned i); void offset_crossings(Crossings &cr, double a, double b); Crossings reverse_ta(Crossings const &cr, std::vector max); Crossings reverse_tb(Crossings const &cr, unsigned split, std::vector max); CrossingSet reverse_ta(CrossingSet const &cr, unsigned split, std::vector max); CrossingSet reverse_tb(CrossingSet const &cr, unsigned split, std::vector max); void clean(Crossings &cr_a, Crossings &cr_b); } #endif /* Local Variables: mode:c++ c-file-style:"stroustrup" c-file-offsets:((innamespace . 0)(inline-open . 0)(case-label . +)) indent-tabs-mode:nil fill-column:99 End: */ // vim: filetype=cpp:expandtab:shiftwidth=4:tabstop=8:softtabstop=4:fileencoding=utf-8:textwidth=99 :