/* -*- mode: C++; indent-tabs-mode: nil; -*-

  *

  * This file is a part of LEMON, a generic C++ optimization library.

  *

  * Copyright (C) 2003-2009

  * Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport

  * (Egervary Research Group on Combinatorial Optimization, EGRES).

  *

  * Permission to use, modify and distribute this software is granted

  * provided that this copyright notice appears in all copies. For

  * precise terms see the accompanying LICENSE file.

  *

  * This software is provided "AS IS" with no warranty of any kind,

  * express or implied, and with no claim as to its suitability for any

  * purpose.

  *

  */

 #include <iostream>

 #include <lemon/planarity.h>

 #include <lemon/smart_graph.h>

 #include <lemon/lgf_reader.h>

 #include <lemon/connectivity.h>

 #include <lemon/dim2.h>

 #include "test_tools.h"

 using namespace lemon;

 using namespace lemon::dim2;

 const int lgfn = 4;

 const std::string lgf[lgfn] = {

   "@nodes\n"

   "label\n"

   "0\n"

   "1\n"

   "2\n"

   "3\n"

   "4\n"

   "@edges\n"

   "     label\n"

   "0 1  0\n"

   "0 2  0\n"

   "0 3  0\n"

   "0 4  0\n"

   "1 2  0\n"

   "1 3  0\n"

   "1 4  0\n"

   "2 3  0\n"

   "2 4  0\n"

   "3 4  0\n",

   "@nodes\n"

   "label\n"

   "0\n"

   "1\n"

   "2\n"

   "3\n"

   "4\n"

   "@edges\n"

   "     label\n"

   "0 1  0\n"

   "0 2  0\n"

   "0 3  0\n"

   "0 4  0\n"

   "1 2  0\n"

   "1 3  0\n"

   "2 3  0\n"

   "2 4  0\n"

   "3 4  0\n",

   "@nodes\n"

   "label\n"

   "0\n"

   "1\n"

   "2\n"

   "3\n"

   "4\n"

   "5\n"

   "@edges\n"

   "     label\n"

   "0 3  0\n"

   "0 4  0\n"

   "0 5  0\n"

   "1 3  0\n"

   "1 4  0\n"

   "1 5  0\n"

   "2 3  0\n"

   "2 4  0\n"

   "2 5  0\n",

   "@nodes\n"

   "label\n"

   "0\n"

   "1\n"

   "2\n"

   "3\n"

   "4\n"

   "5\n"

   "@edges\n"

   "     label\n"

   "0 3  0\n"

   "0 4  0\n"

   "0 5  0\n"

   "1 3  0\n"

   "1 4  0\n"

   "1 5  0\n"

   "2 3  0\n"

   "2 5  0\n"

 };

 typedef SmartGraph Graph;

 GRAPH_TYPEDEFS(Graph);

 typedef PlanarEmbedding<SmartGraph> PE;

 typedef PlanarDrawing<SmartGraph> PD;

 typedef PlanarColoring<SmartGraph> PC;

 void checkEmbedding(const Graph& graph, PE& pe) {

   int face_num = 0;

   Graph::ArcMap<int> face(graph, -1);

   for (ArcIt a(graph); a != INVALID; ++a) {

     if (face[a] == -1) {

       Arc b = a;

       while (face[b] == -1) {

         face[b] = face_num;

         b = pe.next(graph.oppositeArc(b));

       }

       check(face[b] == face_num, "Wrong face");

       ++face_num;

     }

   }

   check(face_num + countNodes(graph) - countConnectedComponents(graph) ==

         countEdges(graph) + 1, "Euler test does not passed");

 }

 void checkKuratowski(const Graph& graph, PE& pe) {

   std::map<int, int> degs;

   for (NodeIt n(graph); n != INVALID; ++n) {

     int deg = 0;

     for (IncEdgeIt e(graph, n); e != INVALID; ++e) {

       if (pe.kuratowski(e)) {

         ++deg;

       }

     }

     ++degs[deg];

   }

   for (std::map<int, int>::iterator it = degs.begin(); it != degs.end(); ++it) {

     check(it->first == 0 || it->first == 2 ||

           (it->first == 3 && it->second == 6) ||

           (it->first == 4 && it->second == 5),

           "Wrong degree in Kuratowski graph");

   }

   // Not full test

   check((degs[3] == 0) != (degs[4] == 0), "Wrong Kuratowski graph");

 }

 bool intersect(Point<int> e1, Point<int> e2, Point<int> f1, Point<int> f2) {

   int l, r;

   if (std::min(e1.x, e2.x) > std::max(f1.x, f2.x)) return false;

   if (std::max(e1.x, e2.x) < std::min(f1.x, f2.x)) return false;

   if (std::min(e1.y, e2.y) > std::max(f1.y, f2.y)) return false;

   if (std::max(e1.y, e2.y) < std::min(f1.y, f2.y)) return false;

   l = (e2.x - e1.x) * (f1.y - e1.y) - (e2.y - e1.y) * (f1.x - e1.x);

   r = (e2.x - e1.x) * (f2.y - e1.y) - (e2.y - e1.y) * (f2.x - e1.x);

   if (!((l >= 0 && r <= 0) || (l <= 0 && r >= 0))) return false;

   l = (f2.x - f1.x) * (e1.y - f1.y) - (f2.y - f1.y) * (e1.x - f1.x);

   r = (f2.x - f1.x) * (e2.y - f1.y) - (f2.y - f1.y) * (e2.x - f1.x);

   if (!((l >= 0 && r <= 0) || (l <= 0 && r >= 0))) return false;

   return true;

 }

 bool collinear(Point<int> p, Point<int> q, Point<int> r) {

   int v;

   v = (q.x - p.x) * (r.y - p.y) - (q.y - p.y) * (r.x - p.x);

   if (v != 0) return false;

   v = (q.x - p.x) * (r.x - p.x) + (q.y - p.y) * (r.y - p.y);

   if (v < 0) return false;

   return true;

 }

 void checkDrawing(const Graph& graph, PD& pd) {

   for (Graph::NodeIt n(graph); n != INVALID; ++n) {

     Graph::NodeIt m(n);

     for (++m; m != INVALID; ++m) {

       check(pd[m] != pd[n], "Two nodes with identical coordinates");

     }

   }

   for (Graph::EdgeIt e(graph); e != INVALID; ++e) {

     for (Graph::EdgeIt f(e); f != e; ++f) {

       Point<int> e1 = pd[graph.u(e)];

       Point<int> e2 = pd[graph.v(e)];

       Point<int> f1 = pd[graph.u(f)];

       Point<int> f2 = pd[graph.v(f)];

       if (graph.u(e) == graph.u(f)) {

         check(!collinear(e1, e2, f2), "Wrong drawing");

       } else if (graph.u(e) == graph.v(f)) {

         check(!collinear(e1, e2, f1), "Wrong drawing");

       } else if (graph.v(e) == graph.u(f)) {

         check(!collinear(e2, e1, f2), "Wrong drawing");

       } else if (graph.v(e) == graph.v(f)) {

         check(!collinear(e2, e1, f1), "Wrong drawing");

       } else {

         check(!intersect(e1, e2, f1, f2), "Wrong drawing");

       }

     }

   }

 }

 void checkColoring(const Graph& graph, PC& pc, int num) {

   for (NodeIt n(graph); n != INVALID; ++n) {

     check(pc.colorIndex(n) >= 0 && pc.colorIndex(n) < num,

           "Wrong coloring");

   }

   for (EdgeIt e(graph); e != INVALID; ++e) {

     check(pc.colorIndex(graph.u(e)) != pc.colorIndex(graph.v(e)),

           "Wrong coloring");

   }

 }

 int main() {

   for (int i = 0; i < lgfn; ++i) {

     std::istringstream lgfs(lgf[i]);

     SmartGraph graph;

     graphReader(graph, lgfs).run();

     check(simpleGraph(graph), "Test graphs must be simple");

     PE pe(graph);

     bool planar = pe.run();

     check(checkPlanarity(graph) == planar, "Planarity checking failed");

     if (planar) {

       checkEmbedding(graph, pe);

       PlanarDrawing<Graph> pd(graph);

       pd.run(pe.embeddingMap());

       checkDrawing(graph, pd);

       PlanarColoring<Graph> pc(graph);

       pc.runFiveColoring(pe.embeddingMap());

       checkColoring(graph, pc, 5);

     } else {

       checkKuratowski(graph, pe);

     }

   }

   return 0;

 }