deba@861: /* -*- mode: C++; indent-tabs-mode: nil; -*-
deba@861:  *
deba@861:  * This file is a part of LEMON, a generic C++ optimization library.
deba@861:  *
deba@861:  * Copyright (C) 2003-2009
deba@861:  * Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport
deba@861:  * (Egervary Research Group on Combinatorial Optimization, EGRES).
deba@861:  *
deba@861:  * Permission to use, modify and distribute this software is granted
deba@861:  * provided that this copyright notice appears in all copies. For
deba@861:  * precise terms see the accompanying LICENSE file.
deba@861:  *
deba@861:  * This software is provided "AS IS" with no warranty of any kind,
deba@861:  * express or implied, and with no claim as to its suitability for any
deba@861:  * purpose.
deba@861:  *
deba@861:  */
deba@861: 
deba@861: #include <iostream>
deba@861: 
deba@861: #include <lemon/planarity.h>
deba@861: 
deba@861: #include <lemon/smart_graph.h>
deba@861: #include <lemon/lgf_reader.h>
deba@861: #include <lemon/connectivity.h>
deba@861: #include <lemon/dim2.h>
deba@861: 
deba@861: #include "test_tools.h"
deba@861: 
deba@861: using namespace lemon;
deba@861: using namespace lemon::dim2;
deba@861: 
deba@861: const int lgfn = 4;
deba@861: const std::string lgf[lgfn] = {
deba@861:   "@nodes\n"
deba@861:   "label\n"
deba@861:   "0\n"
deba@861:   "1\n"
deba@861:   "2\n"
deba@861:   "3\n"
deba@861:   "4\n"
deba@861:   "@edges\n"
deba@861:   "     label\n"
deba@861:   "0 1  0\n"
deba@861:   "0 2  0\n"
deba@861:   "0 3  0\n"
deba@861:   "0 4  0\n"
deba@861:   "1 2  0\n"
deba@861:   "1 3  0\n"
deba@861:   "1 4  0\n"
deba@861:   "2 3  0\n"
deba@861:   "2 4  0\n"
deba@861:   "3 4  0\n",
deba@861: 
deba@861:   "@nodes\n"
deba@861:   "label\n"
deba@861:   "0\n"
deba@861:   "1\n"
deba@861:   "2\n"
deba@861:   "3\n"
deba@861:   "4\n"
deba@861:   "@edges\n"
deba@861:   "     label\n"
deba@861:   "0 1  0\n"
deba@861:   "0 2  0\n"
deba@861:   "0 3  0\n"
deba@861:   "0 4  0\n"
deba@861:   "1 2  0\n"
deba@861:   "1 3  0\n"
deba@861:   "2 3  0\n"
deba@861:   "2 4  0\n"
deba@861:   "3 4  0\n",
deba@861: 
deba@861:   "@nodes\n"
deba@861:   "label\n"
deba@861:   "0\n"
deba@861:   "1\n"
deba@861:   "2\n"
deba@861:   "3\n"
deba@861:   "4\n"
deba@861:   "5\n"
deba@861:   "@edges\n"
deba@861:   "     label\n"
deba@861:   "0 3  0\n"
deba@861:   "0 4  0\n"
deba@861:   "0 5  0\n"
deba@861:   "1 3  0\n"
deba@861:   "1 4  0\n"
deba@861:   "1 5  0\n"
deba@861:   "2 3  0\n"
deba@861:   "2 4  0\n"
deba@861:   "2 5  0\n",
deba@861: 
deba@861:   "@nodes\n"
deba@861:   "label\n"
deba@861:   "0\n"
deba@861:   "1\n"
deba@861:   "2\n"
deba@861:   "3\n"
deba@861:   "4\n"
deba@861:   "5\n"
deba@861:   "@edges\n"
deba@861:   "     label\n"
deba@861:   "0 3  0\n"
deba@861:   "0 4  0\n"
deba@861:   "0 5  0\n"
deba@861:   "1 3  0\n"
deba@861:   "1 4  0\n"
deba@861:   "1 5  0\n"
deba@861:   "2 3  0\n"
deba@861:   "2 5  0\n"
deba@861: };
deba@861: 
deba@861: 
deba@861: 
deba@861: typedef SmartGraph Graph;
deba@861: GRAPH_TYPEDEFS(Graph);
deba@861: 
deba@861: typedef PlanarEmbedding<SmartGraph> PE;
deba@861: typedef PlanarDrawing<SmartGraph> PD;
deba@861: typedef PlanarColoring<SmartGraph> PC;
deba@861: 
deba@861: void checkEmbedding(const Graph& graph, PE& pe) {
deba@861:   int face_num = 0;
deba@861: 
deba@861:   Graph::ArcMap<int> face(graph, -1);
deba@861: 
deba@861:   for (ArcIt a(graph); a != INVALID; ++a) {
deba@861:     if (face[a] == -1) {
deba@861:       Arc b = a;
deba@861:       while (face[b] == -1) {
deba@861:         face[b] = face_num;
deba@861:         b = pe.next(graph.oppositeArc(b));
deba@861:       }
deba@861:       check(face[b] == face_num, "Wrong face");
deba@861:       ++face_num;
deba@861:     }
deba@861:   }
deba@861:   check(face_num + countNodes(graph) - countConnectedComponents(graph) ==
deba@861:         countEdges(graph) + 1, "Euler test does not passed");
deba@861: }
deba@861: 
deba@861: void checkKuratowski(const Graph& graph, PE& pe) {
deba@861:   std::map<int, int> degs;
deba@861:   for (NodeIt n(graph); n != INVALID; ++n) {
deba@861:     int deg = 0;
deba@861:     for (IncEdgeIt e(graph, n); e != INVALID; ++e) {
deba@861:       if (pe.kuratowski(e)) {
deba@861:         ++deg;
deba@861:       }
deba@861:     }
deba@861:     ++degs[deg];
deba@861:   }
deba@861:   for (std::map<int, int>::iterator it = degs.begin(); it != degs.end(); ++it) {
deba@861:     check(it->first == 0 || it->first == 2 ||
deba@861:           (it->first == 3 && it->second == 6) ||
deba@861:           (it->first == 4 && it->second == 5),
deba@861:           "Wrong degree in Kuratowski graph");
deba@861:   }
deba@861: 
deba@861:   // Not full test
deba@861:   check((degs[3] == 0) != (degs[4] == 0), "Wrong Kuratowski graph");
deba@861: }
deba@861: 
deba@861: bool intersect(Point<int> e1, Point<int> e2, Point<int> f1, Point<int> f2) {
deba@861:   int l, r;
deba@861:   if (std::min(e1.x, e2.x) > std::max(f1.x, f2.x)) return false;
deba@861:   if (std::max(e1.x, e2.x) < std::min(f1.x, f2.x)) return false;
deba@861:   if (std::min(e1.y, e2.y) > std::max(f1.y, f2.y)) return false;
deba@861:   if (std::max(e1.y, e2.y) < std::min(f1.y, f2.y)) return false;
deba@861: 
deba@861:   l = (e2.x - e1.x) * (f1.y - e1.y) - (e2.y - e1.y) * (f1.x - e1.x);
deba@861:   r = (e2.x - e1.x) * (f2.y - e1.y) - (e2.y - e1.y) * (f2.x - e1.x);
deba@861:   if (!((l >= 0 && r <= 0) || (l <= 0 && r >= 0))) return false;
deba@861:   l = (f2.x - f1.x) * (e1.y - f1.y) - (f2.y - f1.y) * (e1.x - f1.x);
deba@861:   r = (f2.x - f1.x) * (e2.y - f1.y) - (f2.y - f1.y) * (e2.x - f1.x);
deba@861:   if (!((l >= 0 && r <= 0) || (l <= 0 && r >= 0))) return false;
deba@861:   return true;
deba@861: }
deba@861: 
deba@861: bool collinear(Point<int> p, Point<int> q, Point<int> r) {
deba@861:   int v;
deba@861:   v = (q.x - p.x) * (r.y - p.y) - (q.y - p.y) * (r.x - p.x);
deba@861:   if (v != 0) return false;
deba@861:   v = (q.x - p.x) * (r.x - p.x) + (q.y - p.y) * (r.y - p.y);
deba@861:   if (v < 0) return false;
deba@861:   return true;
deba@861: }
deba@861: 
deba@861: void checkDrawing(const Graph& graph, PD& pd) {
deba@861:   for (Graph::NodeIt n(graph); n != INVALID; ++n) {
deba@861:     Graph::NodeIt m(n);
deba@861:     for (++m; m != INVALID; ++m) {
deba@861:       check(pd[m] != pd[n], "Two nodes with identical coordinates");
deba@861:     }
deba@861:   }
deba@861: 
deba@861:   for (Graph::EdgeIt e(graph); e != INVALID; ++e) {
deba@861:     for (Graph::EdgeIt f(e); f != e; ++f) {
deba@861:       Point<int> e1 = pd[graph.u(e)];
deba@861:       Point<int> e2 = pd[graph.v(e)];
deba@861:       Point<int> f1 = pd[graph.u(f)];
deba@861:       Point<int> f2 = pd[graph.v(f)];
deba@861: 
deba@861:       if (graph.u(e) == graph.u(f)) {
deba@861:         check(!collinear(e1, e2, f2), "Wrong drawing");
deba@861:       } else if (graph.u(e) == graph.v(f)) {
deba@861:         check(!collinear(e1, e2, f1), "Wrong drawing");
deba@861:       } else if (graph.v(e) == graph.u(f)) {
deba@861:         check(!collinear(e2, e1, f2), "Wrong drawing");
deba@861:       } else if (graph.v(e) == graph.v(f)) {
deba@861:         check(!collinear(e2, e1, f1), "Wrong drawing");
deba@861:       } else {
deba@861:         check(!intersect(e1, e2, f1, f2), "Wrong drawing");
deba@861:       }
deba@861:     }
deba@861:   }
deba@861: }
deba@861: 
deba@861: void checkColoring(const Graph& graph, PC& pc, int num) {
deba@861:   for (NodeIt n(graph); n != INVALID; ++n) {
deba@861:     check(pc.colorIndex(n) >= 0 && pc.colorIndex(n) < num,
deba@861:           "Wrong coloring");
deba@861:   }
deba@861:   for (EdgeIt e(graph); e != INVALID; ++e) {
deba@861:     check(pc.colorIndex(graph.u(e)) != pc.colorIndex(graph.v(e)),
deba@861:           "Wrong coloring");
deba@861:   }
deba@861: }
deba@861: 
deba@861: int main() {
deba@861: 
deba@861:   for (int i = 0; i < lgfn; ++i) {
deba@861:     std::istringstream lgfs(lgf[i]);
deba@861: 
deba@861:     SmartGraph graph;
deba@861:     graphReader(graph, lgfs).run();
deba@861: 
deba@861:     check(simpleGraph(graph), "Test graphs must be simple");
deba@861: 
deba@861:     PE pe(graph);
deba@862:     bool planar = pe.run();
deba@862:     check(checkPlanarity(graph) == planar, "Planarity checking failed");
deba@862: 
deba@862:     if (planar) {
deba@861:       checkEmbedding(graph, pe);
deba@861: 
deba@861:       PlanarDrawing<Graph> pd(graph);
deba@862:       pd.run(pe.embeddingMap());
deba@861:       checkDrawing(graph, pd);
deba@861: 
deba@861:       PlanarColoring<Graph> pc(graph);
deba@862:       pc.runFiveColoring(pe.embeddingMap());
deba@861:       checkColoring(graph, pc, 5);
deba@861: 
deba@861:     } else {
deba@861:       checkKuratowski(graph, pe);
deba@861:     }
deba@861:   }
deba@861: 
deba@861:   return 0;
deba@861: }