src/GeomAlgoAPI/GeomAlgoAPI_SketchBuilder.cpp

   1 // File:        GeomAlgoAPI_SketchBuilder.cpp
   2 // Created:     02 Jun 2014
   3 // Author:      Artem ZHIDKOV
   4
   5 #include <GeomAlgoAPI_SketchBuilder.h>
   6
   7 #include <set>
   8
   9 #include <gp_Dir.hxx>
  10 #include <gp_Pln.hxx>
  11
  12 #include <BOPAlgo_Builder.hxx>
  13 #include <BOPAlgo_Operation.hxx>
  14 #include <BOPAlgo_PaveFiller.hxx>
  15 #include <BOPTools.hxx>
  16 #include <BRep_Builder.hxx>
  17 #include <BRep_Curve3D.hxx>
  18 #include <BRep_TEdge.hxx>
  19 #include <BRep_TVertex.hxx>
  20 #include <BRepAlgoAPI_Cut.hxx>
  21 #include <BRepBuilderAPI_MakeFace.hxx>
  22 #include <BRepClass_FaceClassifier.hxx>
  23 #include <Geom_Curve.hxx>
  24 #include <Geom_Plane.hxx>
  25 #include <TopExp.hxx>
  26 #include <TopExp_Explorer.hxx>
  27 #include <TopoDS_Edge.hxx>
  28 #include <TopoDS_Face.hxx>
  29 #include <TopoDS_Vertex.hxx>
  30 #include <TopoDS_Wire.hxx>
  31
  32 #include <Precision.hxx>
  33
  34 #ifndef DBL_MAX
  35 #define DBL_MAX 1.7976931348623158e+308
  36 #endif
  37
  38
  39 const double tolerance = Precision::Confusion();
  40 // This value helps to find direction on the boundaries of curve.
  41 // It is not significant for lines, but is used for circles to avoid
  42 // wrong directions of movement (when two edges are tangent on the certain vertex)
  43 const double shift     = acos(1.0 - 2.0 * tolerance);
  44
  45 /// \brief Search first vertex - the vertex with lowest x coordinate, which is used in 2 edges at least
  46 static const TopoDS_Shape& findStartVertex(
  47           const BOPCol_IndexedDataMapOfShapeListOfShape& theMapVE,
  48           const gp_Dir& theDirX, const gp_Dir& theDirY);
  49
  50 /// \brief Search the vertex on the sketch candidate to be the next one in the loop
  51 static void findNextVertex(
  52           const TopoDS_Shape&                            theStartVertex,
  53           const BOPCol_IndexedDataMapOfShapeListOfShape& theVertexEdgeMap,
  54           const gp_Dir&                                  theStartDir,
  55           const gp_Dir&                                  theNormal,
  56                 TopoDS_Shape&                            theNextVertex,
  57                 TopoDS_Shape&                            theNextEdge,
  58                 gp_Dir&                                  theNextDir);
  59
  60 /// \brief Create planar face using the edges surrounding it
  61 static void createFace(const TopoDS_Shape&                      theStartVertex,
  62                        const std::list<TopoDS_Shape>::iterator& theStartEdge,
  63                        const std::list<TopoDS_Shape>::iterator& theEndOfEdges,
  64                        const gp_Pln&                            thePlane,
  65                              TopoDS_Face&                       theResFace);
  66
  67 /// \bief Create planar wire
  68 static void createWireList(const TopoDS_Shape&                      theStartVertex,
  69                            const std::list<TopoDS_Shape>::iterator& theStartEdge,
  70                            const std::list<TopoDS_Shape>::iterator& theEndOfEdges,
  71                            const std::set<Handle(TopoDS_TShape)>&   theEdgesInLoops,
  72                                  std::list<TopoDS_Wire>&            theResWires);
  73
  74 /// \brief Calculate outer tengency on the edge in specified vertex
  75 static gp_Dir getOuterEdgeDirection(const TopoDS_Shape& theEdge,
  76                                     const TopoDS_Shape& theVertex);
  77
  78 /// \brief Unnecessary edges will be removed from the map.
  79 ///        Positions of iterator will be updated
  80 static void removeWasteEdges(
  81                 std::list<TopoDS_Shape>::iterator&  theStartVertex,
  82                 std::list<TopoDS_Shape>::iterator&  theStartEdge,
  83           const std::list<TopoDS_Shape>::iterator&  theEndOfVertexes,
  84           const std::list<TopoDS_Shape>::iterator&  theEndOfEdges,
  85           BOPCol_IndexedDataMapOfShapeListOfShape&  theMapVE);
  86
  87
  88
  89
  90 void GeomAlgoAPI_SketchBuilder::createFaces(
  91           const boost::shared_ptr<GeomAPI_Pnt>&                theOrigin,
  92           const boost::shared_ptr<GeomAPI_Dir>&                theDirX,
  93           const boost::shared_ptr<GeomAPI_Dir>&                theDirY,
  94           const boost::shared_ptr<GeomAPI_Dir>&                theNorm,
  95           const std::list< boost::shared_ptr<GeomAPI_Shape> >& theFeatures,
  96                 std::list< boost::shared_ptr<GeomAPI_Shape> >& theResultFaces,
  97                 std::list< boost::shared_ptr<GeomAPI_Shape> >& theResultWires)
  98 {
  99   if (theFeatures.empty())
 100     return ;
 101
 102   // Create the list of edges with shared vertexes
 103   BOPAlgo_Builder aBuilder;
 104   BOPAlgo_PaveFiller aPF;
 105   TopoDS_Shape aFeaturesCompound;
 106
 107   if (theFeatures.size() == 1)
 108   { // If there is only one feature, BOPAlgo_Builder will decline to work. Need to process it anyway
 109     aFeaturesCompound = theFeatures.front()->impl<TopoDS_Shape>();
 110   }
 111   else
 112   {
 113     std::list< boost::shared_ptr<GeomAPI_Shape> >::const_iterator anIt = theFeatures.begin();
 114     for (; anIt != theFeatures.end(); anIt++)
 115     {
 116       boost::shared_ptr<GeomAPI_Shape> aPreview(*anIt);
 117       aBuilder.AddArgument(aPreview->impl<TopoDS_Edge>());
 118     }
 119     aPF.SetArguments(aBuilder.Arguments());
 120     aPF.Perform();
 121     int aErr = aPF.ErrorStatus();
 122     if (aErr) return ;
 123     aBuilder.PerformWithFiller(aPF);
 124     aErr = aBuilder.ErrorStatus();
 125     if (aErr) return ;
 126     aFeaturesCompound = aBuilder.Shape();
 127   }
 128
 129   BOPCol_IndexedDataMapOfShapeListOfShape aMapVE; // map between vertexes and edges
 130   BOPTools::MapShapesAndAncestors(aFeaturesCompound, TopAbs_VERTEX, TopAbs_EDGE, aMapVE);
 131   if (aMapVE.IsEmpty()) // in case of not-initialized circle
 132     return;
 133
 134   gp_Dir aDirX = theDirX->impl<gp_Dir>();
 135   gp_Dir aDirY = theDirY->impl<gp_Dir>();
 136   gp_Dir aNorm = theNorm->impl<gp_Dir>();
 137
 138   gp_Pln aPlane(theOrigin->impl<gp_Pnt>(), aNorm);
 139
 140   // Set of edges used in loops
 141   std::set<Handle(TopoDS_TShape)> anEdgesInLoops;
 142   // Lists for processed vertexes and edges
 143   std::list<TopoDS_Shape> aProcVertexes;
 144   std::list<TopoDS_Shape> aProcEdges;
 145
 146   // Search the start vertex
 147   TopoDS_Shape aStartVertex = findStartVertex(aMapVE, aDirX, aDirY);
 148   aProcVertexes.push_back(aStartVertex);
 149
 150   TopoDS_Shape aCurVertex = aStartVertex;
 151   gp_Dir aCurDir = aDirY.Reversed();
 152   gp_Dir aCurNorm = aNorm.Reversed();
 153
 154   // Go through the edges and find loops
 155   TopoDS_Shape aNextVertex;
 156   TopoDS_Shape aBindingEdge;
 157   gp_Dir aNextDir;
 158   while (aMapVE.Extent() > 0)
 159   {
 160     findNextVertex(aCurVertex, aMapVE, aCurDir, aCurNorm, aNextVertex, aBindingEdge, aNextDir);
 161     aCurNorm = aNorm;
 162
 163     // Try to find next vertex in the list of already processed
 164     std::list<TopoDS_Shape>::iterator          aVertIter = aProcVertexes.begin();
 165     std::list<TopoDS_Shape>::iterator          anEdgeIter = aProcEdges.begin();
 166     for ( ; aVertIter != aProcVertexes.end(); aVertIter++)
 167     {
 168       if (aVertIter->TShape() == aNextVertex.TShape())
 169         break;
 170       if (anEdgeIter != aProcEdges.end())
 171         anEdgeIter++;
 172     }
 173
 174     aProcVertexes.push_back(aNextVertex);
 175     aProcEdges.push_back(aBindingEdge);
 176
 177     // The loop was found
 178     if (aVertIter != aProcVertexes.end())
 179     {
 180       // If the binding edge is a full circle, then the list may be empty before addition. Need to update edge iterator
 181       if (aProcEdges.size() == 1)
 182         anEdgeIter = aProcEdges.begin();
 183
 184       if (aVertIter != aProcVertexes.begin())
 185       {
 186         // Check the orientation of the loop
 187         gp_Dir aCN = getOuterEdgeDirection(*anEdgeIter, *aVertIter);
 188         gp_Dir aCP = getOuterEdgeDirection(aProcEdges.back(), *aVertIter);
 189         aCN.Reverse();
 190         aCP.Reverse();
 191         if (aCN.DotCross(aCP, aNorm) < -tolerance)
 192         {
 193           // The found loop has wrong orientation and may contain sub-loops.
 194           // Need to check it onle again with another initial direction.
 195           aCurVertex = *aVertIter;
 196           do {
 197             aProcVertexes.pop_back();
 198             aProcEdges.pop_back();
 199           } while (aCurVertex != aProcVertexes.back());
 200           aCurDir = getOuterEdgeDirection(aProcEdges.back(), aCurVertex);
 201           aCurNorm = aNorm.Reversed();
 202           continue;
 203         }
 204       }
 205
 206       // When the orientation is correct or the edges looped through
 207       // the first element, create new face and remove unnecessary edges.
 208       TopoDS_Face aPatch;
 209       createFace(*aVertIter, anEdgeIter, aProcEdges.end(), aPlane, aPatch);
 210       if (!aPatch.IsNull())
 211       {
 212         boost::shared_ptr<GeomAPI_Shape> aFace(new GeomAPI_Shape);
 213         aFace->setImpl(new TopoDS_Shape(aPatch));
 214         theResultFaces.push_back(aFace);
 215       }
 216       // push the edges used in the loop to the map
 217       std::list<TopoDS_Shape>::iterator anIter;
 218       for (anIter = anEdgeIter; anIter != aProcEdges.end(); anIter++)
 219         anEdgesInLoops.insert(anIter->TShape());
 220       // remove unnecessary edges
 221       std::list<TopoDS_Shape>::iterator aCopyVLoop = aVertIter;
 222       std::list<TopoDS_Shape>::iterator aCopyELoop = anEdgeIter;
 223       removeWasteEdges(aVertIter, anEdgeIter, aProcVertexes.end(), aProcEdges.end(), aMapVE);
 224
 225       // revert the list of remaining edges
 226       std::list<TopoDS_Shape> aRemainVertexes;
 227       for ( ; aVertIter != aProcVertexes.end(); aVertIter++)
 228         aRemainVertexes.push_front(*aVertIter);
 229       std::list<TopoDS_Shape> aRemainEdges;
 230       for ( ; anEdgeIter != aProcEdges.end(); anEdgeIter++)
 231         aRemainEdges.push_front(*anEdgeIter);
 232       // remove edges and vertexes used in the loop and add remaining ones
 233       aProcVertexes.erase(aCopyVLoop, aProcVertexes.end());
 234       aProcVertexes.insert(aProcVertexes.end(), aRemainVertexes.begin(), aRemainVertexes.end());
 235       aProcEdges.erase(aCopyELoop, aProcEdges.end());
 236       aProcEdges.insert(aProcEdges.end(), aRemainEdges.begin(), aRemainEdges.end());
 237
 238       // Recalculate current vertex and current direction
 239       if (!aProcVertexes.empty())
 240       {
 241         aNextVertex = aProcVertexes.back();
 242         if (!aProcEdges.empty())
 243           aNextDir = getOuterEdgeDirection(aProcEdges.back(), aNextVertex);
 244         else aNextDir = aDirY;
 245       }
 246     }
 247
 248     // if next vertex connected only to alone edge, this is a part of wire (not a closed loop),
 249     // we need to go back through the list of already checked edges to find a branching vertex
 250     if (!aMapVE.IsEmpty() && aMapVE.Contains(aNextVertex) &&
 251         aMapVE.FindFromKey(aNextVertex).Size() == 1)
 252     {
 253       std::list<TopoDS_Shape>::reverse_iterator aVRIter = aProcVertexes.rbegin();
 254       std::list<TopoDS_Shape>::reverse_iterator aERIter = aProcEdges.rbegin();
 255       if (aVRIter != aProcVertexes.rend())
 256         aVRIter++;
 257       if (aERIter != aProcEdges.rend())
 258         aERIter++;
 259
 260       for ( ; aERIter != aProcEdges.rend(); aERIter++, aVRIter++)
 261         if (aMapVE.FindFromKey(*aVRIter).Size() > 2)
 262           break;
 263       if (aERIter != aProcEdges.rend() ||
 264          (aVRIter != aProcVertexes.rend() && aMapVE.FindFromKey(*aVRIter).Size() == 1))
 265       { // the branching vertex was found or current list of edges is a wire without branches
 266         std::list<TopoDS_Shape>::iterator aEIter;
 267         TopoDS_Shape aCurEdge;
 268         if (aERIter != aProcEdges.rend())
 269         {
 270           aEIter = aERIter.base();
 271           aCurEdge = *aERIter;
 272         }
 273         else
 274           aEIter = aProcEdges.begin();
 275         std::list<TopoDS_Wire> aTail;
 276         createWireList(*aVRIter, aEIter, aProcEdges.end(), anEdgesInLoops, aTail);
 277         std::list<TopoDS_Wire>::const_iterator aTailIter = aTail.begin();
 278         for ( ; aTailIter != aTail.end(); aTailIter++)
 279           if (!aTailIter->IsNull())
 280           {
 281             boost::shared_ptr<GeomAPI_Shape> aWire(new GeomAPI_Shape);
 282             aWire->setImpl(new TopoDS_Shape(*aTailIter));
 283             theResultWires.push_back(aWire);
 284           }
 285         std::list<TopoDS_Shape>::iterator aVIter = aVRIter.base();
 286         std::list<TopoDS_Shape>::iterator aEItCopy = aEIter;
 287         removeWasteEdges(--aVIter, aEItCopy, aProcVertexes.end(), aProcEdges.end(), aMapVE);
 288
 289         aProcEdges.erase(aEIter, aProcEdges.end());
 290         aVIter = aVRIter.base();
 291         aProcVertexes.erase(aVIter, aProcVertexes.end());
 292
 293         if (!aProcVertexes.empty())
 294         {
 295           aNextVertex = aProcVertexes.back();
 296           if (!aCurEdge.IsNull())
 297             aNextDir = getOuterEdgeDirection(aCurEdge, aNextVertex);
 298         }
 299       }
 300       else
 301       { // there is no branching vertex in the list of proceeded,
 302         // so we should revert the list and go the opposite way
 303         aProcVertexes.reverse();
 304         aProcEdges.reverse();
 305         aNextVertex = aProcVertexes.back();
 306         aNextDir = aProcEdges.empty() ? aDirY :
 307                    getOuterEdgeDirection(aProcEdges.back(), aNextVertex);
 308       }
 309     }
 310
 311     // When all edges of current component of connectivity are processed,
 312     // we should repeat procedure for finding initial vertex in the remaining
 313     if (!aMapVE.IsEmpty() && !aMapVE.Contains(aNextVertex))
 314     {
 315       aProcVertexes.clear();
 316       aProcEdges.clear();
 317
 318       TopoDS_Shape aStartEdge;
 319       aStartVertex = findStartVertex(aMapVE, aDirX, aDirY);
 320       aProcVertexes.push_back(aStartVertex);
 321       aNextVertex = aStartVertex;
 322       aNextDir = aDirY.Reversed();
 323       aCurNorm = aNorm.Reversed();
 324     }
 325
 326     aCurVertex = aNextVertex;
 327     aCurDir = aNextDir;
 328   }
 329
 330   if (theResultFaces.size() > 1)
 331     fixIntersections(theResultFaces);
 332 }
 333
 334 void GeomAlgoAPI_SketchBuilder::fixIntersections(
 335           std::list< boost::shared_ptr<GeomAPI_Shape> >& theFaces)
 336 {
 337   BRepClass_FaceClassifier aClassifier;
 338
 339   std::list< boost::shared_ptr<GeomAPI_Shape> >::iterator anIter1 = theFaces.begin();
 340   std::list< boost::shared_ptr<GeomAPI_Shape> >::iterator anIter2;
 341   for ( ; anIter1 != theFaces.end(); anIter1++)
 342   {
 343     anIter2 = anIter1;
 344     for (++anIter2; anIter2 != theFaces.end(); anIter2++)
 345     {
 346       const TopoDS_Face& aF1 = (*anIter1)->impl<TopoDS_Face>();
 347       TopExp_Explorer aVert2((*anIter2)->impl<TopoDS_Shape>(), TopAbs_VERTEX);
 348       for ( ; aVert2.More(); aVert2.Next())
 349       {
 350         Handle(BRep_TVertex) aV = Handle(BRep_TVertex)::DownCast(aVert2.Current().TShape());
 351         aClassifier.Perform(aF1, aV->Pnt(), tolerance);
 352         if (aClassifier.State() != TopAbs_IN)
 353           break;
 354       }
 355       if (aVert2.More())
 356       { // second shape is not inside first, change the shapes order and repeat comparision
 357         const TopoDS_Face& aF2 = (*anIter2)->impl<TopoDS_Face>();
 358         TopExp_Explorer aVert1((*anIter1)->impl<TopoDS_Shape>(), TopAbs_VERTEX);
 359         for ( ; aVert1.More(); aVert1.Next())
 360         {
 361           Handle(BRep_TVertex) aV = Handle(BRep_TVertex)::DownCast(aVert1.Current().TShape());
 362           aClassifier.Perform(aF2, aV->Pnt(), tolerance);
 363           if (aClassifier.State() != TopAbs_IN)
 364             break;
 365         }
 366         if (!aVert1.More())
 367         { // first shape should be cut from the second
 368           BRepAlgoAPI_Cut aCut((*anIter2)->impl<TopoDS_Shape>(),
 369                                (*anIter1)->impl<TopoDS_Shape>());
 370           (*anIter2)->setImpl(new TopoDS_Shape(aCut.Shape()));
 371         }
 372       }
 373       else
 374       { // second shape should be cut from the first
 375         BRepAlgoAPI_Cut aCut((*anIter1)->impl<TopoDS_Shape>(),
 376                              (*anIter2)->impl<TopoDS_Shape>());
 377         (*anIter1)->setImpl(new TopoDS_Shape(aCut.Shape()));
 378       }
 379     }
 380   }
 381 }
 382
 383
 384 // =================== Auxiliary functions ====================================
 385 const TopoDS_Shape& findStartVertex(
 386           const BOPCol_IndexedDataMapOfShapeListOfShape& theMapVE,
 387           const gp_Dir& theDirX, const gp_Dir& theDirY)
 388 {
 389   int aStartVertexInd = 1;
 390   double aMaxX = -DBL_MAX;
 391   double aMaxY = -DBL_MAX;
 392   int aNbVert = theMapVE.Extent();
 393   for (int i = 1; i <= aNbVert; i++)
 394   {
 395     const TopoDS_Vertex& aV = (const TopoDS_Vertex&)theMapVE.FindKey(i);
 396     const Handle(BRep_TVertex)& aVert = (const Handle(BRep_TVertex)&)aV.TShape();
 397     const gp_Pnt& aVertPnt = aVert->Pnt();
 398
 399     double aX = aVertPnt.XYZ().Dot(theDirX.XYZ());
 400     double aY = aVertPnt.XYZ().Dot(theDirY.XYZ());
 401     if ((aX > aMaxX || (fabs(aX - aMaxX) < tolerance && aY > aMaxY)) &&
 402         theMapVE.FindFromIndex(i).Extent() > 1)
 403     {
 404       aMaxX = aX;
 405       aMaxY = aY;
 406       aStartVertexInd = i;
 407     }
 408   }
 409   return theMapVE.FindKey(aStartVertexInd);
 410 }
 411
 412 void findNextVertex(
 413           const TopoDS_Shape&                            theStartVertex,
 414           const BOPCol_IndexedDataMapOfShapeListOfShape& theVertexEdgeMap,
 415           const gp_Dir&                                  theStartDir,
 416           const gp_Dir&                                  theNormal,
 417                 TopoDS_Shape&                            theNextVertex,
 418                 TopoDS_Shape&                            theNextEdge,
 419                 gp_Dir&                                  theNextDir)
 420 {
 421   const BOPCol_ListOfShape& anEdgesList = theVertexEdgeMap.FindFromKey(theStartVertex);
 422   BOPCol_ListOfShape::Iterator aEdIter(anEdgesList);
 423   double aBestEdgeProj = DBL_MAX;
 424   for ( ; aEdIter.More(); aEdIter.Next())
 425   {
 426     gp_Dir aTang = getOuterEdgeDirection(aEdIter.Value(), theStartVertex);
 427     aTang.Reverse();
 428
 429     // The projection is normalized in segment (-1, 1),
 430     // where (-1, 0] corresponds to the angles (pi/2, 0] between theStartDir and aTang
 431     // and [0, 1) corresponds to the angles [0, -pi/2)
 432     double aProj = (aTang.Dot(theStartDir) - 1.0) * 0.5;
 433     if (fabs(fabs(aProj) - 1) < tolerance)
 434       continue;
 435     if (theStartDir.DotCross(aTang, theNormal) < tolerance)
 436       aProj *= -1.0;
 437
 438     if (aProj < aBestEdgeProj)
 439     {
 440       aBestEdgeProj = aProj;
 441       theNextEdge = aEdIter.Value();
 442       TopExp_Explorer aVertExp(theNextEdge, TopAbs_VERTEX);
 443       for ( ; aVertExp.More(); aVertExp.Next())
 444         if (aVertExp.Current().TShape() != theStartVertex.TShape())
 445         {
 446           theNextVertex = aVertExp.Current();
 447           theNextDir = getOuterEdgeDirection(aEdIter.Value(), theNextVertex);
 448           break;
 449         }
 450       if (!aVertExp.More())
 451       { // This edge is a full circle
 452         TopoDS_Vertex aV1, aV2;
 453         TopExp::Vertices(*(const TopoDS_Edge*)(&theNextEdge), aV1, aV2);
 454         if (aV1.Orientation() == theStartVertex.Orientation())
 455           theNextVertex = aV2;
 456         else
 457           theNextVertex = aV1;
 458         theNextDir = getOuterEdgeDirection(aEdIter.Value(), theNextVertex);
 459       }
 460     }
 461   }
 462 }
 463
 464 static void addEdgeToWire(const TopoDS_Edge&  theEdge,
 465                           const BRep_Builder& theBuilder,
 466                                 TopoDS_Shape& theSpliceVertex,
 467                                 TopoDS_Wire&  theWire)
 468 {
 469   TopoDS_Edge anEdge = theEdge;
 470   bool isCurVertChanged = false;
 471   TopoDS_Shape aCurVertChanged;
 472
 473   TopExp_Explorer aVertExp(theEdge, TopAbs_VERTEX);
 474   for ( ; aVertExp.More(); aVertExp.Next())
 475   {
 476     const TopoDS_Shape& aVertex = aVertExp.Current();
 477     if (aVertex.TShape() == theSpliceVertex.TShape() &&
 478         aVertex.Orientation() != theEdge.Orientation())
 479     { // Current vertex is the last for the edge, so its orientation is wrong, need to revert the edge
 480       anEdge.Reverse();
 481       break;
 482     }
 483     if (aVertex.TShape() != theSpliceVertex.TShape())
 484     {
 485       aCurVertChanged = aVertex;
 486       isCurVertChanged = true;
 487     }
 488   }
 489   theSpliceVertex = isCurVertChanged ? aCurVertChanged : aVertExp.Current();
 490
 491   theBuilder.Add(theWire, anEdge);
 492 }
 493
 494 void createFace(const TopoDS_Shape&                      theStartVertex,
 495                 const std::list<TopoDS_Shape>::iterator& theStartEdge,
 496                 const std::list<TopoDS_Shape>::iterator& theEndOfEdges,
 497                 const gp_Pln&                            thePlane,
 498                       TopoDS_Face&                       theResFace)
 499 {
 500   TopoDS_Wire aResWire;
 501   BRep_Builder aBuilder;
 502   aBuilder.MakeWire(aResWire);
 503
 504   TopoDS_Shape aCurVertex = theStartVertex;
 505   std::list<TopoDS_Shape>::const_iterator anEdgeIter = theStartEdge;
 506   for ( ; anEdgeIter != theEndOfEdges; anEdgeIter++)
 507   {
 508     TopoDS_Edge anEdge = *((TopoDS_Edge*)(&(*anEdgeIter)));
 509     if (!anEdge.IsNull())
 510       addEdgeToWire(anEdge, aBuilder, aCurVertex, aResWire);
 511   }
 512
 513   BRepBuilderAPI_MakeFace aFaceBuilder(thePlane, aResWire);
 514   if (aFaceBuilder.Error() == BRepBuilderAPI_FaceDone)
 515     theResFace = aFaceBuilder.Face();
 516 }
 517
 518 void createWireList(const TopoDS_Shape&                      theStartVertex,
 519                     const std::list<TopoDS_Shape>::iterator& theStartEdge,
 520                     const std::list<TopoDS_Shape>::iterator& theEndOfEdges,
 521                     const std::set<Handle(TopoDS_TShape)>&   theEdgesInLoops,
 522                           std::list<TopoDS_Wire>&            theResWires)
 523 {
 524   BRep_Builder aBuilder;
 525   bool needNewWire = true;
 526   TopoDS_Shape aCurVertex = theStartVertex;
 527
 528   std::list<TopoDS_Shape>::iterator anIter = theStartEdge;
 529   while (anIter != theEndOfEdges)
 530   {
 531     while (anIter != theEndOfEdges && needNewWire &&
 532            theEdgesInLoops.count(anIter->TShape()) != 0)
 533     {
 534       TopExp_Explorer aVertExp(*anIter, TopAbs_VERTEX);
 535       for ( ; aVertExp.More(); aVertExp.Next())
 536         if (aVertExp.Current().TShape() != aCurVertex.TShape())
 537         {
 538           aCurVertex = aVertExp.Current();
 539           break;
 540         }
 541       anIter++;
 542     }
 543     if (anIter == theEndOfEdges)
 544       break;
 545
 546     if (needNewWire)
 547     { // The new wire should be created
 548       TopoDS_Wire aWire;
 549       aBuilder.MakeWire(aWire);
 550       theResWires.push_back(aWire);
 551       needNewWire = false;
 552     }
 553     else if (theEdgesInLoops.count(anIter->TShape()) != 0)
 554     { // There was found the edge already used in loop.
 555       // Current wire should be released and new one should started
 556       needNewWire = true;
 557       continue;
 558     }
 559
 560     TopoDS_Edge anEdge = *((TopoDS_Edge*)(&(*anIter)));
 561     addEdgeToWire(anEdge, aBuilder, aCurVertex, theResWires.back());
 562     anIter++;
 563   }
 564 }
 565
 566
 567 gp_Dir getOuterEdgeDirection(const TopoDS_Shape& theEdge,
 568                              const TopoDS_Shape& theVertex)
 569 {
 570   const Handle(BRep_TVertex)& aVertex = (const Handle(BRep_TVertex)&)theVertex.TShape();
 571   gp_Pnt aVertexPnt = aVertex->Pnt();
 572
 573   const Handle(BRep_TEdge)& anEdge = (const Handle(BRep_TEdge)&)theEdge.TShape();
 574
 575   // Convert the edge to the curve to calculate the tangency.
 576   // There should be only one curve in the edge.
 577   Handle(BRep_Curve3D) aEdCurve =
 578     Handle(BRep_Curve3D)::DownCast(anEdge->Curves().First());
 579   double aFirst, aLast;
 580   aEdCurve->Range(aFirst, aLast);
 581   Handle(Geom_Curve) aCurve = aEdCurve->Curve3D();
 582
 583   gp_Pnt aPnt;
 584   gp_Vec aTang;
 585   aCurve->D1(aFirst + shift, aPnt, aTang);
 586   aCurve->D0(aFirst, aPnt);
 587   if (aVertexPnt.IsEqual(aPnt, tolerance))
 588     return gp_Dir(aTang.Reversed());
 589
 590   aCurve->D1(aLast - shift, aPnt, aTang);
 591   return gp_Dir(aTang);
 592 }
 593
 594 void removeWasteEdges(
 595                 std::list<TopoDS_Shape>::iterator&  theStartVertex,
 596                 std::list<TopoDS_Shape>::iterator&  theStartEdge,
 597           const std::list<TopoDS_Shape>::iterator&  theEndOfVertexes,
 598           const std::list<TopoDS_Shape>::iterator&  theEndOfEdges,
 599           BOPCol_IndexedDataMapOfShapeListOfShape&  theMapVE)
 600 {
 601   bool isVertStep = true;
 602   while (theStartVertex != theEndOfVertexes && theStartEdge != theEndOfEdges)
 603   {
 604     BOPCol_ListOfShape& aBunch = theMapVE.ChangeFromKey(*theStartVertex);
 605     BOPCol_ListOfShape::Iterator anApprEdge(aBunch);
 606     for ( ; anApprEdge.More(); anApprEdge.Next())
 607       if (anApprEdge.Value() == *theStartEdge)
 608         break;
 609     if (anApprEdge.More())
 610       aBunch.Remove(anApprEdge);
 611
 612     if (isVertStep)
 613       theStartVertex++;
 614     else
 615     {
 616       theStartEdge++;
 617       // check current vertex to be a branching point
 618       // if so, it will be a new starting point to find a loop
 619       if (aBunch.Size() > 1)
 620         break;
 621     }
 622     isVertStep = !isVertStep;
 623   }
 624
 625   // The map of vertex-edges may be changed
 626   BOPCol_IndexedDataMapOfShapeListOfShape aMapVECopy;
 627   BOPCol_IndexedDataMapOfShapeListOfShape::Iterator aMapIter(theMapVE);
 628   for (int ind = 1; aMapIter.More(); aMapIter.Next(), ind++)
 629     if (!aMapIter.Value().IsEmpty())
 630       aMapVECopy.Add(theMapVE.FindKey(ind), aMapIter.Value());
 631   theMapVE.Clear();
 632   theMapVE.Exchange(aMapVECopy);
 633 }
 634