src/INTERP_KERNEL/Geometric2D/InterpKernelGeo2DQuadraticPolygon.cxx

   1 // Copyright (C) 2007-2014  CEA/DEN, EDF R&D
   2 //
   3 // This library is free software; you can redistribute it and/or
   4 // modify it under the terms of the GNU Lesser General Public
   5 // License as published by the Free Software Foundation; either
   6 // version 2.1 of the License, or (at your option) any later version.
   7 //
   8 // This library is distributed in the hope that it will be useful,
   9 // but WITHOUT ANY WARRANTY; without even the implied warranty of
  10 // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
  11 // Lesser General Public License for more details.
  12 //
  13 // You should have received a copy of the GNU Lesser General Public
  14 // License along with this library; if not, write to the Free Software
  15 // Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA  02111-1307 USA
  16 //
  17 // See http://www.salome-platform.org/ or email : webmaster.salome@opencascade.com
  18 //
  19 // Author : Anthony Geay (CEA/DEN)
  20
  21 #include "InterpKernelGeo2DQuadraticPolygon.hxx"
  22 #include "InterpKernelGeo2DElementaryEdge.hxx"
  23 #include "InterpKernelGeo2DEdgeArcCircle.hxx"
  24 #include "InterpKernelGeo2DAbstractEdge.hxx"
  25 #include "InterpKernelGeo2DEdgeLin.hxx"
  26 #include "InterpKernelGeo2DBounds.hxx"
  27 #include "InterpKernelGeo2DEdge.txx"
  28
  29 #include "NormalizedUnstructuredMesh.hxx"
  30
  31 #include <fstream>
  32 #include <sstream>
  33 #include <iomanip>
  34 #include <cstring>
  35 #include <limits>
  36
  37 using namespace INTERP_KERNEL;
  38
  39 namespace INTERP_KERNEL
  40 {
  41   const unsigned MAX_SIZE_OF_LINE_XFIG_FILE=1024;
  42 }
  43
  44 QuadraticPolygon::QuadraticPolygon(const char *file)
  45 {
  46   char currentLine[MAX_SIZE_OF_LINE_XFIG_FILE];
  47   std::ifstream stream(file);
  48   stream.exceptions(std::ios_base::eofbit);
  49   try
  50     {
  51       do
  52         stream.getline(currentLine,MAX_SIZE_OF_LINE_XFIG_FILE);
  53       while(strcmp(currentLine,"1200 2")!=0);
  54       do
  55         {
  56           Edge *newEdge=Edge::BuildFromXfigLine(stream);
  57           if(!empty())
  58             newEdge->changeStartNodeWith(back()->getEndNode());
  59           pushBack(newEdge);
  60         }
  61       while(1);
  62     }
  63   catch(std::ifstream::failure&)
  64     {
  65     }
  66   front()->changeStartNodeWith(back()->getEndNode());
  67 }
  68
  69 QuadraticPolygon::~QuadraticPolygon()
  70 {
  71 }
  72
  73 QuadraticPolygon *QuadraticPolygon::BuildLinearPolygon(std::vector<Node *>& nodes)
  74 {
  75   QuadraticPolygon *ret=new QuadraticPolygon;
  76   std::size_t size=nodes.size();
  77   for(std::size_t i=0;i<size;i++)
  78     {
  79       ret->pushBack(new EdgeLin(nodes[i],nodes[(i+1)%size]));
  80       nodes[i]->decrRef();
  81     }
  82   return ret;
  83 }
  84
  85 QuadraticPolygon *QuadraticPolygon::BuildArcCirclePolygon(std::vector<Node *>& nodes)
  86 {
  87   QuadraticPolygon *ret=new QuadraticPolygon;
  88   std::size_t size=nodes.size();
  89   for(std::size_t i=0;i<size/2;i++)
  90     {
  91       EdgeLin *e1,*e2;
  92       e1=new EdgeLin(nodes[i],nodes[i+size/2]);
  93       e2=new EdgeLin(nodes[i+size/2],nodes[(i+1)%(size/2)]);
  94       SegSegIntersector inters(*e1,*e2);
  95       bool colinearity=inters.areColinears();
  96       delete e1; delete e2;
  97       if(colinearity)
  98         ret->pushBack(new EdgeLin(nodes[i],nodes[(i+1)%(size/2)]));
  99       else
 100         ret->pushBack(new EdgeArcCircle(nodes[i],nodes[i+size/2],nodes[(i+1)%(size/2)]));
 101       nodes[i]->decrRef(); nodes[i+size/2]->decrRef();
 102     }
 103   return ret;
 104 }
 105
 106 void QuadraticPolygon::BuildDbgFile(const std::vector<Node *>& nodes, const char *fileName)
 107 {
 108   std::ofstream file(fileName);
 109   file << std::setprecision(16);
 110   file << "  double coords[]=" << std::endl << "    { ";
 111   for(std::vector<Node *>::const_iterator iter=nodes.begin();iter!=nodes.end();iter++)
 112     {
 113       if(iter!=nodes.begin())
 114         file << "," << std::endl << "      ";
 115       file << (*(*iter))[0] << ", " << (*(*iter))[1];
 116     }
 117   file << "};" << std::endl;
 118 }
 119
 120 void QuadraticPolygon::closeMe() const
 121 {
 122   if(!front()->changeStartNodeWith(back()->getEndNode()))
 123     throw(Exception("big error: not closed polygon..."));
 124 }
 125
 126 void QuadraticPolygon::circularPermute()
 127 {
 128   if(_sub_edges.size()>1)
 129     {
 130       ElementaryEdge *first=_sub_edges.front();
 131       _sub_edges.pop_front();
 132       _sub_edges.push_back(first);
 133     }
 134 }
 135
 136 bool QuadraticPolygon::isButterflyAbs()
 137 {
 138   INTERP_KERNEL::Bounds b;
 139   double xBary,yBary;
 140   b.prepareForAggregation();
 141   fillBounds(b);
 142   double dimChar=b.getCaracteristicDim();
 143   b.getBarycenter(xBary,yBary);
 144   applyGlobalSimilarity(xBary,yBary,dimChar);
 145   //
 146   return isButterfly();
 147 }
 148
 149 bool QuadraticPolygon::isButterfly() const
 150 {
 151   for(std::list<ElementaryEdge *>::const_iterator it=_sub_edges.begin();it!=_sub_edges.end();it++)
 152     {
 153       Edge *e1=(*it)->getPtr();
 154       std::list<ElementaryEdge *>::const_iterator it2=it;
 155       it2++;
 156       for(;it2!=_sub_edges.end();it2++)
 157         {
 158           MergePoints commonNode;
 159           ComposedEdge *outVal1=new ComposedEdge;
 160           ComposedEdge *outVal2=new ComposedEdge;
 161           Edge *e2=(*it2)->getPtr();
 162           if(e1->intersectWith(e2,commonNode,*outVal1,*outVal2))
 163             {
 164               Delete(outVal1);
 165               Delete(outVal2);
 166               return true;
 167             }
 168           Delete(outVal1);
 169           Delete(outVal2);
 170         }
 171     }
 172   return false;
 173 }
 174
 175 void QuadraticPolygon::dumpInXfigFileWithOther(const ComposedEdge& other, const char *fileName) const
 176 {
 177   std::ofstream file(fileName);
 178   const int resolution=1200;
 179   Bounds box;
 180   box.prepareForAggregation();
 181   fillBounds(box);
 182   other.fillBounds(box);
 183   dumpInXfigFile(file,resolution,box);
 184   other.ComposedEdge::dumpInXfigFile(file,resolution,box);
 185 }
 186
 187 void QuadraticPolygon::dumpInXfigFile(const char *fileName) const
 188 {
 189   std::ofstream file(fileName);
 190   const int resolution=1200;
 191   Bounds box;
 192   box.prepareForAggregation();
 193   fillBounds(box);
 194   dumpInXfigFile(file,resolution,box);
 195 }
 196
 197 void QuadraticPolygon::dumpInXfigFile(std::ostream& stream, int resolution, const Bounds& box) const
 198 {
 199   stream << "#FIG 3.2  Produced by xfig version 3.2.5-alpha5" << std::endl;
 200   stream << "Landscape" << std::endl;
 201   stream << "Center" << std::endl;
 202   stream << "Metric" << std::endl;
 203   stream << "Letter" << std::endl;
 204   stream << "100.00" << std::endl;
 205   stream << "Single" << std::endl;
 206   stream << "-2" << std::endl;
 207   stream << resolution << " 2" << std::endl;
 208   ComposedEdge::dumpInXfigFile(stream,resolution,box);
 209 }
 210
 211 /*!
 212  * Warning contrary to intersectWith method this method is \b NOT const. 'this' and 'other' are modified after call of this method.
 213  */
 214 double QuadraticPolygon::intersectWithAbs(QuadraticPolygon& other)
 215 {
 216   double ret=0.,xBaryBB,yBaryBB;
 217   double fact=normalize(&other,xBaryBB,yBaryBB);
 218   std::vector<QuadraticPolygon *> polygs=intersectMySelfWith(other);
 219   for(std::vector<QuadraticPolygon *>::iterator iter=polygs.begin();iter!=polygs.end();iter++)
 220     {
 221       ret+=fabs((*iter)->getArea());
 222       delete *iter;
 223     }
 224   return ret*fact*fact;
 225 }
 226
 227 /*!
 228  * This method splits 'this' with 'other' into smaller pieces localizable. 'mapThis' is a map that gives the correspondance
 229  * between nodes contained in 'this' and node ids in a global mesh.
 230  * In the same way, 'mapOther' gives the correspondance between nodes contained in 'other' and node ids in a
 231  * global mesh from wich 'other' is extracted.
 232  * This method has 1 out paramater : 'edgesThis', After the call of this method, it contains the nodal connectivity (including type)
 233  * of 'this' into globlal "this mesh".
 234  * This method has 2 in/out parameters : 'subDivOther' and 'addCoo'.'otherEdgeIds' is useful to put values in
 235  * 'edgesThis', 'subDivOther' and 'addCoo'.
 236  * Size of 'otherEdgeIds' has to be equal to number of ElementaryEdges in 'other'. No check of that will be done.
 237  * The term 'abs' in the name recalls that we normalize the mesh (spatially) so that node coordinates fit into [0;1].
 238  * @param offset1 is the number of nodes contained in global mesh from which 'this' is extracted.
 239  * @param offset2 is the sum of nodes contained in global mesh from which 'this' is extracted and 'other' is extracted.
 240  * @param edgesInOtherColinearWithThis will be appended at the end of the vector with colinear edge ids of other (if any)
 241  * @param otherEdgeIds is a vector with the same size than other before calling this method. It gives in the same order
 242  * the cell id in global other mesh.
 243  */
 244 void QuadraticPolygon::splitAbs(QuadraticPolygon& other,
 245         const std::map<INTERP_KERNEL::Node *,int>& mapThis, const std::map<INTERP_KERNEL::Node *,int>& mapOther,
 246         int offset1, int offset2 ,
 247         const std::vector<int>& otherEdgeIds,
 248         std::vector<int>& edgesThis, int cellIdThis,
 249         std::vector< std::vector<int> >& edgesInOtherColinearWithThis, std::vector< std::vector<int> >& subDivOther,
 250         std::vector<double>& addCoo)
 251 {
 252   double xBaryBB, yBaryBB;
 253   double fact=normalizeExt(&other, xBaryBB, yBaryBB);
 254   //
 255   IteratorOnComposedEdge it1(this),it3(&other);
 256   MergePoints merge;
 257   ComposedEdge *c1=new ComposedEdge;
 258   ComposedEdge *c2=new ComposedEdge;
 259   int i=0;
 260   std::map<INTERP_KERNEL::Node *,int> mapAddCoo;
 261   for(it3.first();!it3.finished();it3.next(),i++)//iteration over 'other' _sub_edges
 262     {
 263       QuadraticPolygon otherTmp;
 264       ElementaryEdge* curE3=it3.current();
 265       otherTmp.pushBack(new ElementaryEdge(curE3->getPtr(),curE3->getDirection())); curE3->getPtr()->incrRef();
 266       IteratorOnComposedEdge it2(&otherTmp);
 267       for(it2.first();!it2.finished();it2.next())//iteration on subedges of 'other->_sub_edge'
 268         {
 269           ElementaryEdge* curE2=it2.current();
 270           if(!curE2->isThereStartPoint())
 271             it1.first();
 272           else
 273             it1=curE2->getIterator();
 274           for(;!it1.finished();)//iteration over 'this' _sub_edges
 275             {
 276               ElementaryEdge* curE1=it1.current();
 277               merge.clear();
 278               if(curE1->getPtr()->intersectWith(curE2->getPtr(),merge,*c1,*c2))
 279                 {
 280                   if(!curE1->getDirection()) c1->reverse();
 281                   if(!curE2->getDirection()) c2->reverse();
 282                   UpdateNeighbours(merge,it1,it2,c1,c2);
 283                   //Substitution of simple edge by sub-edges.
 284                   delete curE1; // <-- destroying simple edge coming from pol1
 285                   delete curE2; // <-- destroying simple edge coming from pol2
 286                   it1.insertElemEdges(c1,true);// <-- 2nd param is true to go next.
 287                   it2.insertElemEdges(c2,false);// <-- 2nd param is false to avoid to go next.
 288                   curE2=it2.current();
 289                   //
 290                   it1.assignMySelfToAllElems(c2);//To avoid that others
 291                   SoftDelete(c1);
 292                   SoftDelete(c2);
 293                   c1=new ComposedEdge;
 294                   c2=new ComposedEdge;
 295                 }
 296               else
 297                 {
 298                   UpdateNeighbours(merge,it1,it2,curE1,curE2);
 299                   it1.next();
 300                 }
 301             }
 302         }
 303       if(otherTmp.presenceOfOn())
 304         edgesInOtherColinearWithThis[otherEdgeIds[i]].push_back(cellIdThis);
 305       if(otherTmp._sub_edges.size()>1)
 306         {
 307           for(std::list<ElementaryEdge *>::const_iterator it=otherTmp._sub_edges.begin();it!=otherTmp._sub_edges.end();it++)
 308             (*it)->fillGlobalInfoAbs2(mapThis,mapOther,offset1,offset2,/**/fact,xBaryBB,yBaryBB,/**/subDivOther[otherEdgeIds[i]],addCoo,mapAddCoo);
 309         }
 310     }
 311   Delete(c1);
 312   Delete(c2);
 313   //
 314   for(std::list<ElementaryEdge *>::const_iterator it=_sub_edges.begin();it!=_sub_edges.end();it++)
 315     (*it)->fillGlobalInfoAbs(mapThis,mapOther,offset1,offset2,/**/fact,xBaryBB,yBaryBB,/**/edgesThis,addCoo,mapAddCoo);
 316   //
 317 }
 318
 319 /*!
 320  * This method builds 'this' from its descending conn stored in crude mode (MEDCoupling).
 321  * Descending conn is in FORTRAN relative mode in order to give the
 322  * orientation of edge (see buildDescendingConnectivity2() method).
 323  * See appendEdgeFromCrudeDataArray() for params description.
 324  */
 325 void QuadraticPolygon::buildFromCrudeDataArray(const std::map<int,INTERP_KERNEL::Node *>& mapp, bool isQuad, const int *nodalBg, const double *coords,
 326                                                const int *descBg, const int *descEnd, const std::vector<std::vector<int> >& intersectEdges)
 327 {
 328   std::size_t nbOfSeg=std::distance(descBg,descEnd);
 329   for(std::size_t i=0;i<nbOfSeg;i++)
 330     {
 331       appendEdgeFromCrudeDataArray(i,mapp,isQuad,nodalBg,coords,descBg,descEnd,intersectEdges);
 332     }
 333 }
 334
 335 void QuadraticPolygon::appendEdgeFromCrudeDataArray(std::size_t edgePos, const std::map<int,INTERP_KERNEL::Node *>& mapp, bool isQuad,
 336                             const int *nodalBg, const double *coords,
 337                             const int *descBg, const int *descEnd, const std::vector<std::vector<int> >& intersectEdges)
 338 {
 339   if(!isQuad)
 340     {
 341       bool direct=descBg[edgePos]>0;
 342       int edgeId=abs(descBg[edgePos])-1; // back to C indexing mode
 343       const std::vector<int>& subEdge=intersectEdges[edgeId];
 344       std::size_t nbOfSubEdges=subEdge.size()/2;
 345       for(std::size_t j=0;j<nbOfSubEdges;j++)
 346         appendSubEdgeFromCrudeDataArray(0,j,direct,edgeId,subEdge,mapp);
 347     }
 348   else
 349     {
 350       std::size_t nbOfSeg=std::distance(descBg,descEnd);
 351       const double *st=coords+2*(nodalBg[edgePos]);
 352       INTERP_KERNEL::Node *st0=new INTERP_KERNEL::Node(st[0],st[1]);
 353       const double *endd=coords+2*(nodalBg[(edgePos+1)%nbOfSeg]);
 354       INTERP_KERNEL::Node *endd0=new INTERP_KERNEL::Node(endd[0],endd[1]);
 355       const double *middle=coords+2*(nodalBg[edgePos+nbOfSeg]);
 356       INTERP_KERNEL::Node *middle0=new INTERP_KERNEL::Node(middle[0],middle[1]);
 357       EdgeLin *e1,*e2;
 358       e1=new EdgeLin(st0,middle0);
 359       e2=new EdgeLin(middle0,endd0);
 360       SegSegIntersector inters(*e1,*e2);
 361       bool colinearity=inters.areColinears();
 362       delete e1; delete e2;
 363       //
 364       bool direct=descBg[edgePos]>0;
 365       int edgeId=abs(descBg[edgePos])-1;
 366       const std::vector<int>& subEdge=intersectEdges[edgeId];
 367       std::size_t nbOfSubEdges=subEdge.size()/2;
 368       if(colinearity)
 369         {
 370           for(std::size_t j=0;j<nbOfSubEdges;j++)
 371             appendSubEdgeFromCrudeDataArray(0,j,direct,edgeId,subEdge,mapp);
 372         }
 373       else
 374         {
 375           Edge *e=new EdgeArcCircle(st0,middle0,endd0,true);
 376           for(std::size_t j=0;j<nbOfSubEdges;j++)
 377             appendSubEdgeFromCrudeDataArray(e,j,direct,edgeId,subEdge,mapp);
 378           e->decrRef();
 379         }
 380       st0->decrRef(); endd0->decrRef(); middle0->decrRef();
 381     }
 382 }
 383
 384 void QuadraticPolygon::appendSubEdgeFromCrudeDataArray(Edge *baseEdge, std::size_t j, bool direct, int edgeId, const std::vector<int>& subEdge, const std::map<int,INTERP_KERNEL::Node *>& mapp)
 385 {
 386   std::size_t nbOfSubEdges=subEdge.size()/2;
 387   if(!baseEdge)
 388     {//it is not a quadratic subedge
 389       Node *start=(*mapp.find(direct?subEdge[2*j]:subEdge[2*nbOfSubEdges-2*j-1])).second;
 390       Node *end=(*mapp.find(direct?subEdge[2*j+1]:subEdge[2*nbOfSubEdges-2*j-2])).second;
 391       ElementaryEdge *e=ElementaryEdge::BuildEdgeFromCrudeDataArray(true,start,end);
 392       pushBack(e);
 393     }
 394   else
 395     {//it is a quadratic subedge
 396       Node *start=(*mapp.find(direct?subEdge[2*j]:subEdge[2*nbOfSubEdges-2*j-1])).second;
 397       Node *end=(*mapp.find(direct?subEdge[2*j+1]:subEdge[2*nbOfSubEdges-2*j-2])).second;
 398       Edge *ee=baseEdge->buildEdgeLyingOnMe(start,end);
 399       ElementaryEdge *eee=new ElementaryEdge(ee,true);
 400       pushBack(eee);
 401     }
 402 }
 403
 404 /*!
 405  * This method builds from descending conn of a quadratic polygon stored in crude mode (MEDCoupling). Descending conn is in FORTRAN relative mode in order to give the
 406  * orientation of edge.
 407  */
 408 void QuadraticPolygon::buildFromCrudeDataArray2(const std::map<int,INTERP_KERNEL::Node *>& mapp, bool isQuad, const int *nodalBg, const double *coords, const int *descBg, const int *descEnd, const std::vector<std::vector<int> >& intersectEdges,
 409                                                 const INTERP_KERNEL::QuadraticPolygon& pol1, const int *descBg1, const int *descEnd1, const std::vector<std::vector<int> >& intersectEdges1,
 410                                                 const std::vector< std::vector<int> >& colinear1,
 411                                                 std::map<int,std::vector<INTERP_KERNEL::ElementaryEdge *> >& alreadyExistingIn2)
 412 {
 413   std::size_t nbOfSeg=std::distance(descBg,descEnd);
 414   for(std::size_t i=0;i<nbOfSeg;i++)//loop over all edges of pol2
 415     {
 416       bool direct=descBg[i]>0;
 417       int edgeId=abs(descBg[i])-1;//current edge id of pol2
 418       std::map<int,std::vector<INTERP_KERNEL::ElementaryEdge *> >::const_iterator it1=alreadyExistingIn2.find(descBg[i]),it2=alreadyExistingIn2.find(-descBg[i]);
 419       if(it1!=alreadyExistingIn2.end() || it2!=alreadyExistingIn2.end())
 420         {
 421           bool sameDir=(it1!=alreadyExistingIn2.end());
 422           const std::vector<INTERP_KERNEL::ElementaryEdge *>& edgesAlreadyBuilt=sameDir?(*it1).second:(*it2).second;
 423           if(sameDir)
 424             {
 425               for(std::vector<INTERP_KERNEL::ElementaryEdge *>::const_iterator it3=edgesAlreadyBuilt.begin();it3!=edgesAlreadyBuilt.end();it3++)
 426                 {
 427                   Edge *ee=(*it3)->getPtr(); ee->incrRef();
 428                   pushBack(new ElementaryEdge(ee,(*it3)->getDirection()));
 429                 }
 430             }
 431           else
 432             {
 433               for(std::vector<INTERP_KERNEL::ElementaryEdge *>::const_reverse_iterator it4=edgesAlreadyBuilt.rbegin();it4!=edgesAlreadyBuilt.rend();it4++)
 434                 {
 435                   Edge *ee=(*it4)->getPtr(); ee->incrRef();
 436                   pushBack(new ElementaryEdge(ee,!(*it4)->getDirection()));
 437                 }
 438             }
 439           continue;
 440         }
 441       bool directos=colinear1[edgeId].empty();
 442       std::vector<std::pair<int,std::pair<bool,int> > > idIns1;
 443       int offset1=0;
 444       if(!directos)
 445         {// if the current edge of pol2 has one or more colinear edges part into pol1
 446           const std::vector<int>& c=colinear1[edgeId];
 447           std::size_t nbOfEdgesIn1=std::distance(descBg1,descEnd1);
 448           for(std::size_t j=0;j<nbOfEdgesIn1;j++)
 449             {
 450               int edgeId1=abs(descBg1[j])-1;
 451               if(std::find(c.begin(),c.end(),edgeId1)!=c.end())
 452                 {
 453                   idIns1.push_back(std::pair<int,std::pair<bool,int> >(edgeId1,std::pair<bool,int>(descBg1[j]>0,offset1)));// it exists an edge into pol1 given by tuple (idIn1,direct1) that is colinear at edge 'edgeId' in pol2
 454                   //std::pair<edgeId1); direct1=descBg1[j]>0;
 455                 }
 456               offset1+=intersectEdges1[edgeId1].size()/2;//offset1 is used to find the INTERP_KERNEL::Edge * instance into pol1 that will be part of edge into pol2
 457             }
 458           directos=idIns1.empty();
 459         }
 460       if(directos)
 461         {//no subpart of edge 'edgeId' of pol2 is in pol1 so let's operate the same thing that QuadraticPolygon::buildFromCrudeDataArray method
 462           std::size_t oldSz=_sub_edges.size();
 463           appendEdgeFromCrudeDataArray(i,mapp,isQuad,nodalBg,coords,descBg,descEnd,intersectEdges);
 464           std::size_t newSz=_sub_edges.size();
 465           std::size_t zeSz=newSz-oldSz;
 466           alreadyExistingIn2[descBg[i]].resize(zeSz);
 467           std::list<ElementaryEdge *>::const_reverse_iterator it5=_sub_edges.rbegin();
 468           for(std::size_t p=0;p<zeSz;p++,it5++)
 469             alreadyExistingIn2[descBg[i]][zeSz-p-1]=*it5;
 470         }
 471       else
 472         {//there is subpart of edge 'edgeId' of pol2 inside pol1
 473           const std::vector<int>& subEdge=intersectEdges[edgeId];
 474           std::size_t nbOfSubEdges=subEdge.size()/2;
 475           for(std::size_t j=0;j<nbOfSubEdges;j++)
 476             {
 477               int idBg=direct?subEdge[2*j]:subEdge[2*nbOfSubEdges-2*j-1];
 478               int idEnd=direct?subEdge[2*j+1]:subEdge[2*nbOfSubEdges-2*j-2];
 479               bool direction11,found=false;
 480               bool direct1;//store if needed the direction in 1
 481               int offset2;
 482               std::size_t nbOfSubEdges1;
 483               for(std::vector<std::pair<int,std::pair<bool,int> > >::const_iterator it=idIns1.begin();it!=idIns1.end() && !found;it++)
 484                 {
 485                   int idIn1=(*it).first;//store if needed the cell id in 1
 486                   direct1=(*it).second.first;
 487                   offset1=(*it).second.second;
 488                   const std::vector<int>& subEdge1PossiblyAlreadyIn1=intersectEdges1[idIn1];
 489                   nbOfSubEdges1=subEdge1PossiblyAlreadyIn1.size()/2;
 490                   offset2=0;
 491                   for(std::size_t k=0;k<nbOfSubEdges1 && !found;k++)
 492                     {//perform a loop on all subedges of pol1 that includes edge 'edgeId' of pol2. For the moment we iterate only on subedges of ['idIn1']... To improve
 493                       if(subEdge1PossiblyAlreadyIn1[2*k]==idBg && subEdge1PossiblyAlreadyIn1[2*k+1]==idEnd)
 494                         { direction11=true; found=true; }
 495                       else if(subEdge1PossiblyAlreadyIn1[2*k]==idEnd && subEdge1PossiblyAlreadyIn1[2*k+1]==idBg)
 496                         { direction11=false; found=true; }
 497                       else
 498                         offset2++;
 499                     }
 500                 }
 501               if(!found)
 502                 {//the current subedge of edge 'edgeId' of pol2 is not a part of the colinear edge 'idIn1' of pol1 -> build new Edge instance
 503                   //appendEdgeFromCrudeDataArray(j,mapp,isQuad,nodalBg,coords,descBg,descEnd,intersectEdges);
 504                   Node *start=(*mapp.find(idBg)).second;
 505                   Node *end=(*mapp.find(idEnd)).second;
 506                   ElementaryEdge *e=ElementaryEdge::BuildEdgeFromCrudeDataArray(true,start,end);
 507                   pushBack(e);
 508                   alreadyExistingIn2[descBg[i]].push_back(e);
 509                 }
 510               else
 511                 {//the current subedge of edge 'edgeId' of pol2 is part of the colinear edge 'idIn1' of pol1 -> reuse Edge instance of pol1
 512                   ElementaryEdge *e=pol1[offset1+(direct1?offset2:nbOfSubEdges1-offset2-1)];
 513                   Edge *ee=e->getPtr();
 514                   ee->incrRef();
 515                   ElementaryEdge *e2=new ElementaryEdge(ee,!(direct1^direction11));
 516                   pushBack(e2);
 517                   alreadyExistingIn2[descBg[i]].push_back(e2);
 518                 }
 519             }
 520         }
 521     }
 522 }
 523
 524 /*!
 525  * Method expected to be called on pol2. Every params not suffixed by numbered are supposed to refer to pol2 (this).
 526  * Method to find edges that are ON.
 527  */
 528 void QuadraticPolygon::updateLocOfEdgeFromCrudeDataArray2(const int *descBg, const int *descEnd, const std::vector<std::vector<int> >& intersectEdges,
 529       const INTERP_KERNEL::QuadraticPolygon& pol1, const int *descBg1, const int *descEnd1,
 530       const std::vector<std::vector<int> >& intersectEdges1, const std::vector< std::vector<int> >& colinear1) const
 531 {
 532   std::size_t nbOfSeg=std::distance(descBg,descEnd);
 533   for(std::size_t i=0;i<nbOfSeg;i++)//loop over all edges of pol2
 534     {
 535       bool direct=descBg[i]>0;
 536       int edgeId=abs(descBg[i])-1;//current edge id of pol2
 537       const std::vector<int>& c=colinear1[edgeId];
 538       if(c.empty())
 539         continue;
 540       const std::vector<int>& subEdge=intersectEdges[edgeId];
 541       std::size_t nbOfSubEdges=subEdge.size()/2;
 542       //
 543       std::size_t nbOfEdgesIn1=std::distance(descBg1,descEnd1);
 544       int offset1=0;
 545       for(std::size_t j=0;j<nbOfEdgesIn1;j++)
 546         {
 547           int edgeId1=abs(descBg1[j])-1;
 548           if(std::find(c.begin(),c.end(),edgeId1)!=c.end())
 549             {
 550               for(std::size_t k=0;k<nbOfSubEdges;k++)
 551                 {
 552                   int idBg=direct?subEdge[2*k]:subEdge[2*nbOfSubEdges-2*k-1];
 553                   int idEnd=direct?subEdge[2*k+1]:subEdge[2*nbOfSubEdges-2*k-2];
 554                   int idIn1=edgeId1;
 555                   bool direct1=descBg1[j]>0;
 556                   const std::vector<int>& subEdge1PossiblyAlreadyIn1=intersectEdges1[idIn1];
 557                   std::size_t nbOfSubEdges1=subEdge1PossiblyAlreadyIn1.size()/2;
 558                   int offset2=0;
 559                   bool found=false;
 560                   for(std::size_t kk=0;kk<nbOfSubEdges1 && !found;kk++)
 561                     {
 562                       found=(subEdge1PossiblyAlreadyIn1[2*kk]==idBg && subEdge1PossiblyAlreadyIn1[2*kk+1]==idEnd) || (subEdge1PossiblyAlreadyIn1[2*kk]==idEnd && subEdge1PossiblyAlreadyIn1[2*kk+1]==idBg);
 563                       if(!found)
 564                         offset2++;
 565                     }
 566                   if(found)
 567                     {
 568                       ElementaryEdge *e=pol1[offset1+(direct1?offset2:nbOfSubEdges1-offset2-1)];
 569                       e->getPtr()->declareOn();
 570                     }
 571                 }
 572             }
 573           offset1+=intersectEdges1[edgeId1].size()/2;//offset1 is used to find the INTERP_KERNEL::Edge * instance into pol1 that will be part of edge into pol2
 574         }
 575     }
 576 }
 577
 578 void QuadraticPolygon::appendCrudeData(const std::map<INTERP_KERNEL::Node *,int>& mapp, double xBary, double yBary, double fact, int offset, std::vector<double>& addCoordsQuadratic, std::vector<int>& conn, std::vector<int>& connI) const
 579 {
 580   int nbOfNodesInPg=0;
 581   bool presenceOfQuadratic=presenceOfQuadraticEdge();
 582   conn.push_back(presenceOfQuadratic?NORM_QPOLYG:NORM_POLYGON);
 583   for(std::list<ElementaryEdge *>::const_iterator it=_sub_edges.begin();it!=_sub_edges.end();it++)
 584     {
 585       Node *tmp=0;
 586       tmp=(*it)->getStartNode();
 587       std::map<INTERP_KERNEL::Node *,int>::const_iterator it1=mapp.find(tmp);
 588       conn.push_back((*it1).second);
 589       nbOfNodesInPg++;
 590     }
 591   if(presenceOfQuadratic)
 592     {
 593       int j=0;
 594       int off=offset+((int)addCoordsQuadratic.size())/2;
 595       for(std::list<ElementaryEdge *>::const_iterator it=_sub_edges.begin();it!=_sub_edges.end();it++,j++,nbOfNodesInPg++)
 596         {
 597           INTERP_KERNEL::Node *node=(*it)->getPtr()->buildRepresentantOfMySelf();
 598           node->unApplySimilarity(xBary,yBary,fact);
 599           addCoordsQuadratic.push_back((*node)[0]);
 600           addCoordsQuadratic.push_back((*node)[1]);
 601           conn.push_back(off+j);
 602           node->decrRef();
 603         }
 604     }
 605   connI.push_back(connI.back()+nbOfNodesInPg+1);
 606 }
 607
 608 /*!
 609  * This method make the hypothesis that 'this' and 'other' are splited at the minimum into edges that are fully IN, OUT or ON.
 610  * This method returns newly created polygons in 'conn' and 'connI' and the corresponding ids ('idThis','idOther') are stored respectively into 'nbThis' and 'nbOther'.
 611  * @param [in,out] edgesThis, parameter that keep informed the caller abount the edges in this not shared by the result of intersection of \a this with \a other
 612  * @param [in,out] edgesBoundaryOther, parameter that strores all edges in result of intersection that are not
 613  */
 614 void QuadraticPolygon::buildPartitionsAbs(QuadraticPolygon& other, std::set<INTERP_KERNEL::Edge *>& edgesThis, std::set<INTERP_KERNEL::Edge *>& edgesBoundaryOther, const std::map<INTERP_KERNEL::Node *,int>& mapp, int idThis, int idOther, int offset, std::vector<double>& addCoordsQuadratic, std::vector<int>& conn, std::vector<int>& connI, std::vector<int>& nbThis, std::vector<int>& nbOther)
 615 {
 616   double xBaryBB, yBaryBB;
 617   double fact=normalizeExt(&other, xBaryBB, yBaryBB);
 618   //Locate 'this' relative to 'other'
 619   other.performLocatingOperationSlow(*this);  // without any assumption
 620   std::vector<QuadraticPolygon *> res=buildIntersectionPolygons(other,*this);
 621   for(std::vector<QuadraticPolygon *>::iterator it=res.begin();it!=res.end();it++)
 622     {
 623       (*it)->appendCrudeData(mapp,xBaryBB,yBaryBB,fact,offset,addCoordsQuadratic,conn,connI);
 624       INTERP_KERNEL::IteratorOnComposedEdge it1(*it);
 625       for(it1.first();!it1.finished();it1.next())
 626         {
 627           Edge *e=it1.current()->getPtr();
 628           if(edgesThis.find(e)!=edgesThis.end())
 629             edgesThis.erase(e);
 630           else
 631             {
 632               if(edgesBoundaryOther.find(e)!=edgesBoundaryOther.end())
 633                 edgesBoundaryOther.erase(e);
 634               else
 635                 edgesBoundaryOther.insert(e);
 636             }
 637         }
 638       nbThis.push_back(idThis);
 639       nbOther.push_back(idOther);
 640       delete *it;
 641     }
 642   unApplyGlobalSimilarityExt(other,xBaryBB,yBaryBB,fact);
 643 }
 644
 645 /*!
 646  * Warning This method is \b NOT const. 'this' and 'other' are modified after call of this method.
 647  * 'other' is a QuadraticPolygon of \b non closed edges.
 648  */
 649 double QuadraticPolygon::intersectWithAbs1D(QuadraticPolygon& other, bool& isColinear)
 650 {
 651   double ret = 0., xBaryBB, yBaryBB;
 652   double fact = normalize(&other, xBaryBB, yBaryBB);
 653
 654   QuadraticPolygon cpyOfThis(*this);
 655   QuadraticPolygon cpyOfOther(other);
 656   int nbOfSplits = 0;
 657   SplitPolygonsEachOther(cpyOfThis, cpyOfOther, nbOfSplits);
 658   //At this point cpyOfThis and cpyOfOther have been splited at maximum edge so that in/out can been done.
 659   performLocatingOperation(cpyOfOther);
 660   isColinear = false;
 661   for(std::list<ElementaryEdge *>::const_iterator it=cpyOfOther._sub_edges.begin();it!=cpyOfOther._sub_edges.end();it++)
 662     {
 663       switch((*it)->getLoc())
 664         {
 665         case FULL_IN_1:
 666           {
 667             ret += fabs((*it)->getPtr()->getCurveLength());
 668             break;
 669           }
 670         case FULL_ON_1:
 671           {
 672             isColinear=true;
 673             ret += fabs((*it)->getPtr()->getCurveLength());
 674             break;
 675           }
 676         default:
 677           {
 678           }
 679         }
 680     }
 681   return ret * fact;
 682 }
 683
 684 /*!
 685  * Warning contrary to intersectWith method this method is \b NOT const. 'this' and 'other' are modified after call of this method.
 686  */
 687 double QuadraticPolygon::intersectWithAbs(QuadraticPolygon& other, double* barycenter)
 688 {
 689   double ret=0.,bary[2],area,xBaryBB,yBaryBB;
 690   barycenter[0] = barycenter[1] = 0.;
 691   double fact=normalize(&other,xBaryBB,yBaryBB);
 692   std::vector<QuadraticPolygon *> polygs=intersectMySelfWith(other);
 693   for(std::vector<QuadraticPolygon *>::iterator iter=polygs.begin();iter!=polygs.end();iter++)
 694     {
 695       area=fabs((*iter)->getArea());
 696       (*iter)->getBarycenter(bary);
 697       delete *iter;
 698       ret+=area;
 699       barycenter[0] += bary[0]*area;
 700       barycenter[1] += bary[1]*area;
 701     }
 702   if ( ret > std::numeric_limits<double>::min() )
 703     {
 704       barycenter[0]=barycenter[0]/ret*fact+xBaryBB;
 705       barycenter[1]=barycenter[1]/ret*fact+yBaryBB;
 706
 707     }
 708   return ret*fact*fact;
 709 }
 710
 711 /*!
 712  * \b WARNING this method is const and other is const too. \b BUT location of Edges in 'this' and 'other' are nevertheless modified.
 713  * This is possible because loc attribute in Edge class is mutable.
 714  * This implies that if 'this' or/and 'other' are reused for intersect* method initLocations has to be called on each of this/them.
 715  */
 716 double QuadraticPolygon::intersectWith(const QuadraticPolygon& other) const
 717 {
 718   double ret=0.;
 719   std::vector<QuadraticPolygon *> polygs=intersectMySelfWith(other);
 720   for(std::vector<QuadraticPolygon *>::iterator iter=polygs.begin();iter!=polygs.end();iter++)
 721     {
 722       ret+=fabs((*iter)->getArea());
 723       delete *iter;
 724     }
 725   return ret;
 726 }
 727
 728 /*!
 729  * \b WARNING this method is const and other is const too. \b BUT location of Edges in 'this' and 'other' are nevertheless modified.
 730  * This is possible because loc attribute in Edge class is mutable.
 731  * This implies that if 'this' or/and 'other' are reused for intersect* method initLocations has to be called on each of this/them.
 732  */
 733 double QuadraticPolygon::intersectWith(const QuadraticPolygon& other, double* barycenter) const
 734 {
 735   double ret=0., bary[2];
 736   barycenter[0] = barycenter[1] = 0.;
 737   std::vector<QuadraticPolygon *> polygs=intersectMySelfWith(other);
 738   for(std::vector<QuadraticPolygon *>::iterator iter=polygs.begin();iter!=polygs.end();iter++)
 739     {
 740       double area = fabs((*iter)->getArea());
 741       (*iter)->getBarycenter(bary);
 742       delete *iter;
 743       ret+=area;
 744       barycenter[0] += bary[0]*area;
 745       barycenter[1] += bary[1]*area;
 746     }
 747   if ( ret > std::numeric_limits<double>::min() )
 748     {
 749       barycenter[0] /= ret;
 750       barycenter[1] /= ret;
 751     }
 752   return ret;
 753 }
 754
 755 /*!
 756  * \b WARNING this method is const and other is const too. \b BUT location of Edges in 'this' and 'other' are nevertheless modified.
 757  * This is possible because loc attribute in Edge class is mutable.
 758  * This implies that if 'this' or/and 'other' are reused for intersect* method initLocations has to be called on each of this/them.
 759  */
 760 void QuadraticPolygon::intersectForPerimeter(const QuadraticPolygon& other, double& perimeterThisPart, double& perimeterOtherPart, double& perimeterCommonPart) const
 761 {
 762   perimeterThisPart=0.; perimeterOtherPart=0.; perimeterCommonPart=0.;
 763   QuadraticPolygon cpyOfThis(*this);
 764   QuadraticPolygon cpyOfOther(other); int nbOfSplits=0;
 765   SplitPolygonsEachOther(cpyOfThis,cpyOfOther,nbOfSplits);
 766   performLocatingOperation(cpyOfOther);
 767   other.performLocatingOperation(cpyOfThis);
 768   cpyOfThis.dispatchPerimeterExcl(perimeterThisPart,perimeterCommonPart);
 769   cpyOfOther.dispatchPerimeterExcl(perimeterOtherPart,perimeterCommonPart);
 770   perimeterCommonPart/=2.;
 771 }
 772
 773 /*!
 774  * \b WARNING this method is const and other is const too. \b BUT location of Edges in 'this' and 'other' are nevertheless modified.
 775  * This is possible because loc attribute in Edge class is mutable.
 776  * This implies that if 'this' or/and 'other' are reused for intersect* method initLocations has to be called on each of this/them.
 777  *
 778  * polThis.size()==this->size() and polOther.size()==other.size().
 779  * For each ElementaryEdge of 'this', the corresponding contribution in resulting polygon is in 'polThis'.
 780  * For each ElementaryEdge of 'other', the corresponding contribution in resulting polygon is in 'polOther'.
 781  * As consequence common part are counted twice (in polThis \b and in polOther).
 782  */
 783 void QuadraticPolygon::intersectForPerimeterAdvanced(const QuadraticPolygon& other, std::vector< double >& polThis, std::vector< double >& polOther) const
 784 {
 785   polThis.resize(size());
 786   polOther.resize(other.size());
 787   IteratorOnComposedEdge it1(const_cast<QuadraticPolygon *>(this));
 788   int edgeId=0;
 789   for(it1.first();!it1.finished();it1.next(),edgeId++)
 790     {
 791       ElementaryEdge* curE1=it1.current();
 792       QuadraticPolygon cpyOfOther(other);
 793       QuadraticPolygon tmp;
 794       tmp.pushBack(curE1->clone());
 795       int tmp2;
 796       SplitPolygonsEachOther(tmp,cpyOfOther,tmp2);
 797       other.performLocatingOperation(tmp);
 798       tmp.dispatchPerimeter(polThis[edgeId]);
 799     }
 800   //
 801   IteratorOnComposedEdge it2(const_cast<QuadraticPolygon *>(&other));
 802   edgeId=0;
 803   for(it2.first();!it2.finished();it2.next(),edgeId++)
 804     {
 805       ElementaryEdge* curE2=it2.current();
 806       QuadraticPolygon cpyOfThis(*this);
 807       QuadraticPolygon tmp;
 808       tmp.pushBack(curE2->clone());
 809       int tmp2;
 810       SplitPolygonsEachOther(tmp,cpyOfThis,tmp2);
 811       performLocatingOperation(tmp);
 812       tmp.dispatchPerimeter(polOther[edgeId]);
 813     }
 814 }
 815
 816
 817 /*!
 818  * numberOfCreatedPointsPerEdge is resized to the number of edges of 'this'.
 819  * This method returns in ordered maner the number of newly created points per edge.
 820  * This method performs a split process between 'this' and 'other' that gives the result PThis.
 821  * Then for each edges of 'this' this method counts how many edges in Pthis have the same id.
 822  */
 823 void QuadraticPolygon::intersectForPoint(const QuadraticPolygon& other, std::vector< int >& numberOfCreatedPointsPerEdge) const
 824 {
 825   numberOfCreatedPointsPerEdge.resize(size());
 826   IteratorOnComposedEdge it1(const_cast<QuadraticPolygon *>(this));
 827   int edgeId=0;
 828   for(it1.first();!it1.finished();it1.next(),edgeId++)
 829     {
 830       ElementaryEdge* curE1=it1.current();
 831       QuadraticPolygon cpyOfOther(other);
 832       QuadraticPolygon tmp;
 833       tmp.pushBack(curE1->clone());
 834       int tmp2;
 835       SplitPolygonsEachOther(tmp,cpyOfOther,tmp2);
 836       numberOfCreatedPointsPerEdge[edgeId]=tmp.recursiveSize()-1;
 837     }
 838 }
 839
 840 /*!
 841  * \b WARNING this method is const and other is const too. \b BUT location of Edges in 'this' and 'other' are nevertheless modified.
 842  * This is possible because loc attribute in Edge class is mutable.
 843  * This implies that if 'this' or/and 'other' are reused for intersect* method initLocations has to be called on each of this/them.
 844  */
 845 std::vector<QuadraticPolygon *> QuadraticPolygon::intersectMySelfWith(const QuadraticPolygon& other) const
 846 {
 847   QuadraticPolygon cpyOfThis(*this);
 848   QuadraticPolygon cpyOfOther(other); int nbOfSplits=0;
 849   SplitPolygonsEachOther(cpyOfThis,cpyOfOther,nbOfSplits);
 850   //At this point cpyOfThis and cpyOfOther have been splited at maximum edge so that in/out can been done.
 851   performLocatingOperation(cpyOfOther);
 852   return other.buildIntersectionPolygons(cpyOfThis,cpyOfOther);
 853 }
 854
 855 /*!
 856  * This method is typically the first step of boolean operations between pol1 and pol2.
 857  * This method perform the minimal splitting so that at the end each edges constituting pol1 are fully either IN or OUT or ON.
 858  * @param pol1 IN/OUT param that is equal to 'this' when called.
 859  */
 860 void QuadraticPolygon::SplitPolygonsEachOther(QuadraticPolygon& pol1, QuadraticPolygon& pol2, int& nbOfSplits)
 861 {
 862   IteratorOnComposedEdge it1(&pol1),it2(&pol2);
 863   MergePoints merge;
 864   ComposedEdge *c1=new ComposedEdge;
 865   ComposedEdge *c2=new ComposedEdge;
 866   for(it2.first();!it2.finished();it2.next())
 867     {
 868       ElementaryEdge* curE2=it2.current();
 869       if(!curE2->isThereStartPoint())
 870         it1.first();
 871       else
 872         it1=curE2->getIterator();
 873       for(;!it1.finished();)
 874         {
 875
 876           ElementaryEdge* curE1=it1.current();
 877           merge.clear(); nbOfSplits++;
 878           if(curE1->getPtr()->intersectWith(curE2->getPtr(),merge,*c1,*c2))
 879             {
 880               if(!curE1->getDirection()) c1->reverse();
 881               if(!curE2->getDirection()) c2->reverse();
 882               UpdateNeighbours(merge,it1,it2,c1,c2);
 883               //Substitution of simple edge by sub-edges.
 884               delete curE1; // <-- destroying simple edge coming from pol1
 885               delete curE2; // <-- destroying simple edge coming from pol2
 886               it1.insertElemEdges(c1,true);// <-- 2nd param is true to go next.
 887               it2.insertElemEdges(c2,false);// <-- 2nd param is false to avoid to go next.
 888               curE2=it2.current();
 889               //
 890               it1.assignMySelfToAllElems(c2);//To avoid that others
 891               SoftDelete(c1);
 892               SoftDelete(c2);
 893               c1=new ComposedEdge;
 894               c2=new ComposedEdge;
 895             }
 896           else
 897             {
 898               UpdateNeighbours(merge,it1,it2,curE1,curE2);
 899               it1.next();
 900             }
 901         }
 902     }
 903   Delete(c1);
 904   Delete(c2);
 905 }
 906
 907 void QuadraticPolygon::performLocatingOperation(QuadraticPolygon& pol2) const
 908 {
 909   IteratorOnComposedEdge it(&pol2);
 910   TypeOfEdgeLocInPolygon loc=FULL_ON_1;
 911   for(it.first();!it.finished();it.next())
 912     {
 913       ElementaryEdge *cur=it.current();
 914       loc=cur->locateFullyMySelf(*this,loc);
 915     }
 916 }
 917
 918 void QuadraticPolygon::performLocatingOperationSlow(QuadraticPolygon& pol2) const
 919 {
 920   IteratorOnComposedEdge it(&pol2);
 921   for(it.first();!it.finished();it.next())
 922     {
 923       ElementaryEdge *cur=it.current();
 924       cur->locateFullyMySelfAbsolute(*this);
 925     }
 926 }
 927
 928 /*!
 929  * Given 2 polygons 'pol1' and 'pol2' (localized) the resulting polygons are returned.
 930  *
 931  * this : pol2 simplified.
 932  * @param pol1 pol1 split.
 933  * @param pol2 pol2 split.
 934  */
 935 std::vector<QuadraticPolygon *> QuadraticPolygon::buildIntersectionPolygons(const QuadraticPolygon& pol1, const QuadraticPolygon& pol2) const
 936 {
 937   std::vector<QuadraticPolygon *> ret;
 938   std::list<QuadraticPolygon *> pol2Zip=pol2.zipConsecutiveInSegments();
 939   if(!pol2Zip.empty())
 940     closePolygons(pol2Zip,pol1,ret);
 941   else
 942     {//borders of pol2 do not cross pol1,and pol2 borders are outside of pol1. That is to say, either pol2 and pol1
 943       //do not overlap or  pol1 is fully inside pol2. So in the first case no intersection, in the other case
 944       //the intersection is pol1.
 945       ElementaryEdge *e1FromPol1=pol1[0];
 946       TypeOfEdgeLocInPolygon loc=FULL_ON_1;
 947       loc=e1FromPol1->locateFullyMySelf(*this,loc);
 948       if(loc==FULL_IN_1)
 949         ret.push_back(new QuadraticPolygon(pol1));
 950     }
 951   return ret;
 952 }
 953
 954 /*!
 955  * Returns parts of potentially non closed-polygons. Each returned polygons are not mergeable.
 956  * this : pol2 split and locallized.
 957  */
 958 std::list<QuadraticPolygon *> QuadraticPolygon::zipConsecutiveInSegments() const
 959 {
 960   std::list<QuadraticPolygon *> ret;
 961   IteratorOnComposedEdge it(const_cast<QuadraticPolygon *>(this));
 962   int nbOfTurns=recursiveSize();
 963   int i=0;
 964   if(!it.goToNextInOn(false,i,nbOfTurns))
 965     return ret;
 966   i=0;
 967   //
 968   while(i<nbOfTurns)
 969     {
 970       QuadraticPolygon *tmp1=new QuadraticPolygon;
 971       TypeOfEdgeLocInPolygon loc=it.current()->getLoc();
 972       while(loc!=FULL_OUT_1 && i<nbOfTurns)
 973         {
 974           ElementaryEdge *tmp3=it.current()->clone();
 975           tmp1->pushBack(tmp3);
 976           it.nextLoop(); i++;
 977           loc=it.current()->getLoc();
 978         }
 979       if(tmp1->empty())
 980         {
 981           delete tmp1;
 982           continue;
 983         }
 984       ret.push_back(tmp1);
 985       it.goToNextInOn(true,i,nbOfTurns);
 986     }
 987   return ret;
 988 }
 989
 990 /*!
 991  * 'this' should be considered as pol2Simplified.
 992  * @param pol2zip is a list of set of edges (openned polygon) coming from split polygon 2.
 993  * @param pol1 is split pol1.
 994  * @param results the resulting \b CLOSED polygons.
 995  */
 996 void QuadraticPolygon::closePolygons(std::list<QuadraticPolygon *>& pol2Zip, const QuadraticPolygon& pol1,
 997                                      std::vector<QuadraticPolygon *>& results) const
 998 {
 999   bool directionKnownInPol1=false;
1000   bool directionInPol1;
1001   for(std::list<QuadraticPolygon *>::iterator iter=pol2Zip.begin();iter!=pol2Zip.end();)
1002     {
1003       if((*iter)->completed())
1004         {
1005           results.push_back(*iter);
1006           directionKnownInPol1=false;
1007           iter=pol2Zip.erase(iter);
1008           continue;
1009         }
1010       if(!directionKnownInPol1)
1011         {
1012           if(!(*iter)->amIAChanceToBeCompletedBy(pol1,*this,directionInPol1))
1013             { delete *iter; iter=pol2Zip.erase(iter); continue; }
1014           else
1015             directionKnownInPol1=true;
1016         }
1017       std::list<QuadraticPolygon *>::iterator iter2=iter; iter2++;
1018       std::list<QuadraticPolygon *>::iterator iter3=(*iter)->fillAsMuchAsPossibleWith(pol1,iter2,pol2Zip.end(),directionInPol1);
1019       if(iter3!=pol2Zip.end())
1020         {
1021           (*iter)->pushBack(*iter3);
1022           SoftDelete(*iter3);
1023           pol2Zip.erase(iter3);
1024         }
1025     }
1026 }
1027
1028 /*!
1029  * 'this' is expected to be set of edges (not closed) of pol2 split.
1030  */
1031 bool QuadraticPolygon::amIAChanceToBeCompletedBy(const QuadraticPolygon& pol1Splitted,const QuadraticPolygon& pol2NotSplitted, bool& direction)
1032 {
1033   IteratorOnComposedEdge it(const_cast<QuadraticPolygon *>(&pol1Splitted));
1034   bool found=false;
1035   Node *n=getEndNode();
1036   ElementaryEdge *cur=it.current();
1037   for(it.first();!it.finished() && !found;)
1038     {
1039       cur=it.current();
1040       found=(cur->getStartNode()==n);
1041       if(!found)
1042         it.next();
1043     }
1044   if(!found)
1045     throw Exception("Internal error : polygons uncompatible each others. Should never happend");
1046   //Ok we found correspondance between this and pol1. Searching for right direction to close polygon.
1047   ElementaryEdge *e=_sub_edges.back();
1048   if(e->getLoc()==FULL_ON_1)
1049     {
1050       if(e->getPtr()==cur->getPtr())
1051         {
1052           direction=false;
1053           it.previousLoop();
1054           cur=it.current();
1055           Node *repr=cur->getPtr()->buildRepresentantOfMySelf();
1056           bool ret=pol2NotSplitted.isInOrOut(repr);
1057           repr->decrRef();
1058           return ret;
1059         }
1060       else
1061         {
1062           direction=true;
1063           Node *repr=cur->getPtr()->buildRepresentantOfMySelf();
1064           bool ret=pol2NotSplitted.isInOrOut(repr);
1065           repr->decrRef();
1066           return ret;
1067         }
1068     }
1069   else
1070     direction=cur->locateFullyMySelfAbsolute(pol2NotSplitted)==FULL_IN_1;
1071   return true;
1072 }
1073
1074 /*!
1075  * This method fills as much as possible 'this' (part of pol2 split) with edges of 'pol1Splitted'.
1076  */
1077 std::list<QuadraticPolygon *>::iterator QuadraticPolygon::fillAsMuchAsPossibleWith(const QuadraticPolygon& pol1Splitted,
1078                                                                                    std::list<QuadraticPolygon *>::iterator iStart,
1079                                                                                    std::list<QuadraticPolygon *>::iterator iEnd,
1080                                                                                    bool direction)
1081 {
1082   IteratorOnComposedEdge it(const_cast<QuadraticPolygon *>(&pol1Splitted));
1083   bool found=false;
1084   Node *n=getEndNode();
1085   ElementaryEdge *cur;
1086   for(it.first();!it.finished() && !found;)
1087     {
1088       cur=it.current();
1089       found=(cur->getStartNode()==n);
1090       if(!found)
1091         it.next();
1092     }
1093   if(!direction)
1094     it.previousLoop();
1095   Node *nodeToTest;
1096   std::list<QuadraticPolygon *>::iterator ret;
1097   do
1098     {
1099       cur=it.current();
1100       ElementaryEdge *tmp=cur->clone();
1101       if(!direction)
1102         tmp->reverse();
1103       pushBack(tmp);
1104       nodeToTest=tmp->getEndNode();
1105       direction?it.nextLoop():it.previousLoop();
1106       ret=CheckInList(nodeToTest,iStart,iEnd);
1107       if(completed())
1108         return iEnd;
1109     }
1110   while(ret==iEnd);
1111   return ret;
1112 }
1113
1114 std::list<QuadraticPolygon *>::iterator QuadraticPolygon::CheckInList(Node *n, std::list<QuadraticPolygon *>::iterator iStart,
1115                                                                       std::list<QuadraticPolygon *>::iterator iEnd)
1116 {
1117   for(std::list<QuadraticPolygon *>::iterator iter=iStart;iter!=iEnd;iter++)
1118     if((*iter)->isNodeIn(n))
1119       return iter;
1120   return iEnd;
1121 }
1122
1123 void QuadraticPolygon::ComputeResidual(const QuadraticPolygon& pol1, const std::set<Edge *>& notUsedInPol1, const std::set<Edge *>& edgesInPol2OnBoundary, const std::map<INTERP_KERNEL::Node *,int>& mapp, int offset, int idThis,
1124                                        std::vector<double>& addCoordsQuadratic, std::vector<int>& conn, std::vector<int>& connI, std::vector<int>& nb1, std::vector<int>& nb2)
1125 {
1126   pol1.initLocations();
1127   for(std::set<Edge *>::const_iterator it9=notUsedInPol1.begin();it9!=notUsedInPol1.end();it9++)
1128     { (*it9)->initLocs(); (*it9)->declareOn(); }
1129   for(std::set<Edge *>::const_iterator itA=edgesInPol2OnBoundary.begin();itA!=edgesInPol2OnBoundary.end();itA++)
1130     { (*itA)->initLocs(); (*itA)->declareIn(); }
1131   ////
1132   std::set<Edge *> notUsedInPol1L(notUsedInPol1);
1133   IteratorOnComposedEdge it(const_cast<QuadraticPolygon *>(&pol1));
1134   int sz=pol1.size();
1135   std::list<QuadraticPolygon *> pol1Zip;
1136   if(pol1.size()==(int)notUsedInPol1.size() && edgesInPol2OnBoundary.empty())
1137     {
1138       pol1.appendCrudeData(mapp,0.,0.,1.,offset,addCoordsQuadratic,conn,connI); nb1.push_back(idThis); nb2.push_back(-1);
1139       return ;
1140     }
1141   while(!notUsedInPol1L.empty())
1142     {
1143       for(int i=0;i<sz && (it.current()->getStartNode()->getLoc()!=IN_1 || it.current()->getLoc()!=FULL_ON_1);i++)
1144         it.nextLoop();
1145       if(it.current()->getStartNode()->getLoc()!=IN_1 || it.current()->getLoc()!=FULL_ON_1)
1146         throw INTERP_KERNEL::Exception("Presence of a target polygon fully included in source polygon ! The partition of this leads to a non simply connex cell (with hole) ! Impossible ! Such resulting cell cannot be stored in MED cell format !");
1147       QuadraticPolygon *tmp1=new QuadraticPolygon;
1148       do
1149         {
1150           Edge *ee=it.current()->getPtr();
1151           if(ee->getLoc()==FULL_ON_1)
1152             {
1153               ee->incrRef(); notUsedInPol1L.erase(ee);
1154               tmp1->pushBack(new ElementaryEdge(ee,it.current()->getDirection()));
1155             }
1156           it.nextLoop();
1157         }
1158       while(it.current()->getStartNode()->getLoc()!=IN_1 && !notUsedInPol1L.empty());
1159       pol1Zip.push_back(tmp1);
1160     }
1161   ////
1162   std::list<QuadraticPolygon *> retPolsUnderContruction;
1163   std::list<Edge *> edgesInPol2OnBoundaryL(edgesInPol2OnBoundary.begin(),edgesInPol2OnBoundary.end());
1164   std::map<QuadraticPolygon *, std::list<QuadraticPolygon *> > pol1ZipConsumed;
1165   std::size_t maxNbOfTurn=edgesInPol2OnBoundaryL.size(),nbOfTurn=0,iiMNT=0;
1166   for(std::list<QuadraticPolygon *>::const_iterator itMNT=pol1Zip.begin();itMNT!=pol1Zip.end();itMNT++,iiMNT++)
1167     nbOfTurn+=(*itMNT)->size();
1168   maxNbOfTurn=maxNbOfTurn*nbOfTurn; maxNbOfTurn*=maxNbOfTurn;
1169   nbOfTurn=0;
1170   while(nbOfTurn<maxNbOfTurn && ((!pol1Zip.empty() || !edgesInPol2OnBoundaryL.empty())))
1171     {
1172       for(std::list<QuadraticPolygon *>::iterator it1=retPolsUnderContruction.begin();it1!=retPolsUnderContruction.end();)
1173         {
1174           if((*it1)->getStartNode()==(*it1)->getEndNode())
1175             {
1176               it1++;
1177               continue;
1178             }
1179           Node *curN=(*it1)->getEndNode();
1180           bool smthHappened=false;
1181           for(std::list<Edge *>::iterator it2=edgesInPol2OnBoundaryL.begin();it2!=edgesInPol2OnBoundaryL.end();)
1182             {
1183               if(curN==(*it2)->getStartNode())
1184                 { (*it2)->incrRef(); (*it1)->pushBack(new ElementaryEdge(*it2,true)); curN=(*it2)->getEndNode(); smthHappened=true; it2=edgesInPol2OnBoundaryL.erase(it2); }
1185               else if(curN==(*it2)->getEndNode())
1186                 { (*it2)->incrRef(); (*it1)->pushBack(new ElementaryEdge(*it2,false)); curN=(*it2)->getStartNode(); smthHappened=true; it2=edgesInPol2OnBoundaryL.erase(it2); }
1187               else
1188                 it2++;
1189             }
1190           if(smthHappened)
1191             {
1192               for(std::list<QuadraticPolygon *>::iterator it3=pol1Zip.begin();it3!=pol1Zip.end();)
1193                 {
1194                   if(curN==(*it3)->getStartNode())
1195                     {
1196                       for(std::list<ElementaryEdge *>::const_iterator it4=(*it3)->_sub_edges.begin();it4!=(*it3)->_sub_edges.end();it4++)
1197                         { (*it4)->getPtr()->incrRef(); bool dir=(*it4)->getDirection(); (*it1)->pushBack(new ElementaryEdge((*it4)->getPtr(),dir)); }
1198                       smthHappened=true;
1199                       pol1ZipConsumed[*it1].push_back(*it3);
1200                       curN=(*it3)->getEndNode();
1201                       it3=pol1Zip.erase(it3);
1202                     }
1203                   else
1204                     it3++;
1205                 }
1206             }
1207           if(!smthHappened)
1208             {
1209               for(std::list<ElementaryEdge *>::const_iterator it5=(*it1)->_sub_edges.begin();it5!=(*it1)->_sub_edges.end();it5++)
1210                 {
1211                   Edge *ee=(*it5)->getPtr();
1212                   if(edgesInPol2OnBoundary.find(ee)!=edgesInPol2OnBoundary.end())
1213                     edgesInPol2OnBoundaryL.push_back(ee);
1214                 }
1215               for(std::list<QuadraticPolygon *>::iterator it6=pol1ZipConsumed[*it1].begin();it6!=pol1ZipConsumed[*it1].end();it6++)
1216                 pol1Zip.push_front(*it6);
1217               pol1ZipConsumed.erase(*it1);
1218               delete *it1;
1219               it1=retPolsUnderContruction.erase(it1);
1220             }
1221         }
1222       if(!pol1Zip.empty())
1223         {
1224           QuadraticPolygon *tmp=new QuadraticPolygon;
1225           QuadraticPolygon *first=*(pol1Zip.begin());
1226           for(std::list<ElementaryEdge *>::const_iterator it4=first->_sub_edges.begin();it4!=first->_sub_edges.end();it4++)
1227             { (*it4)->getPtr()->incrRef(); bool dir=(*it4)->getDirection(); tmp->pushBack(new ElementaryEdge((*it4)->getPtr(),dir)); }
1228           pol1ZipConsumed[tmp].push_back(first);
1229           retPolsUnderContruction.push_back(tmp);
1230           pol1Zip.erase(pol1Zip.begin());
1231         }
1232       nbOfTurn++;
1233     }
1234   if(nbOfTurn==maxNbOfTurn)
1235     {
1236       std::ostringstream oss; oss << "Error during reconstruction of residual of cell ! It appears that either source or/and target mesh is/are not conform !";
1237       oss << " Number of turns is = " << nbOfTurn << " !";
1238       throw INTERP_KERNEL::Exception(oss.str().c_str());
1239     }
1240   for(std::list<QuadraticPolygon *>::iterator it1=retPolsUnderContruction.begin();it1!=retPolsUnderContruction.end();it1++)
1241     {
1242       if((*it1)->getStartNode()==(*it1)->getEndNode())
1243         {
1244           (*it1)->appendCrudeData(mapp,0.,0.,1.,offset,addCoordsQuadratic,conn,connI); nb1.push_back(idThis); nb2.push_back(-1);
1245           for(std::list<QuadraticPolygon *>::iterator it6=pol1ZipConsumed[*it1].begin();it6!=pol1ZipConsumed[*it1].end();it6++)
1246             delete *it6;
1247           delete *it1;
1248         }
1249     }
1250 }