src/GeomAlgoAPI/GeomAlgoAPI_ShapeTools.cpp

   1 // Copyright (C) 2014-20xx CEA/DEN, EDF R&D
   2
   3 // File:        GeomAlgoAPI_ShapeTools.h
   4 // Created:     3 August 2015
   5 // Author:      Dmitry Bobylev
   6
   7 #include "GeomAlgoAPI_ShapeTools.h"
   8
   9 #include "GeomAlgoAPI_SketchBuilder.h"
  10
  11 #include <GeomAPI_Dir.h>
  12 #include <GeomAPI_PlanarEdges.h>
  13 #include <GeomAPI_Pln.h>
  14 #include <GeomAPI_Pnt.h>
  15
  16 #include <Bnd_Box.hxx>
  17 #include <BOPTools.hxx>
  18 #include <BRep_Builder.hxx>
  19 #include <BRepAdaptor_Curve.hxx>
  20 #include <BRepAlgo_FaceRestrictor.hxx>
  21 #include <BRepBndLib.hxx>
  22 #include <BRepBuilderAPI_FindPlane.hxx>
  23 #include <BRepBuilderAPI_MakeEdge.hxx>
  24 #include <BRepBuilderAPI_MakeFace.hxx>
  25 #include <BRepExtrema_DistShapeShape.hxx>
  26 #include <BRepGProp.hxx>
  27 #include <BRepTopAdaptor_FClass2d.hxx>
  28 #include <Geom_Curve.hxx>
  29 #include <Geom2d_Curve.hxx>
  30 #include <BRepLib_CheckCurveOnSurface.hxx>
  31 #include <BRep_Tool.hxx>
  32 #include <Geom_Plane.hxx>
  33 #include <GeomLib_IsPlanarSurface.hxx>
  34 #include <GeomLib_Tool.hxx>
  35 #include <GeomProjLib.hxx>
  36 #include <gp_Pln.hxx>
  37 #include <GProp_GProps.hxx>
  38 #include <IntAna_IntConicQuad.hxx>
  39 #include <IntAna_Quadric.hxx>
  40 #include <NCollection_Vector.hxx>
  41 #include <ShapeAnalysis.hxx>
  42 #include <ShapeAnalysis_Surface.hxx>
  43 #include <TopoDS_Builder.hxx>
  44 #include <TopoDS_Edge.hxx>
  45 #include <TopoDS_Face.hxx>
  46 #include <TopoDS_Shape.hxx>
  47 #include <TopoDS_Shell.hxx>
  48 #include <TopoDS_Vertex.hxx>
  49 #include <TopoDS.hxx>
  50 #include <TopExp_Explorer.hxx>
  51
  52 //=================================================================================================
  53 double GeomAlgoAPI_ShapeTools::volume(const std::shared_ptr<GeomAPI_Shape> theShape)
  54 {
  55   GProp_GProps aGProps;
  56   if(!theShape.get()) {
  57     return 0.0;
  58   }
  59   const TopoDS_Shape& aShape = theShape->impl<TopoDS_Shape>();
  60   if(aShape.IsNull()) {
  61     return 0.0;
  62   }
  63   const Standard_Real anEps = 1.e-6;
  64   BRepGProp::VolumeProperties(aShape, aGProps, anEps);
  65   return aGProps.Mass();
  66 }
  67
  68 //=================================================================================================
  69 std::shared_ptr<GeomAPI_Pnt> GeomAlgoAPI_ShapeTools::centreOfMass(const std::shared_ptr<GeomAPI_Shape> theShape)
  70 {
  71   GProp_GProps aGProps;
  72   if(!theShape) {
  73     return std::shared_ptr<GeomAPI_Pnt>();
  74   }
  75   const TopoDS_Shape& aShape = theShape->impl<TopoDS_Shape>();
  76   if(aShape.IsNull()) {
  77     return std::shared_ptr<GeomAPI_Pnt>();
  78   }
  79   gp_Pnt aCentre;
  80   if(aShape.ShapeType() == TopAbs_VERTEX) {
  81     aCentre = BRep_Tool::Pnt(TopoDS::Vertex(aShape));
  82   } else if(aShape.ShapeType() == TopAbs_EDGE || aShape.ShapeType() == TopAbs_WIRE) {
  83     BRepGProp::LinearProperties(aShape, aGProps);
  84     aCentre = aGProps.CentreOfMass();
  85   } else {
  86     BRepGProp::SurfaceProperties(aShape, aGProps);
  87     aCentre = aGProps.CentreOfMass();
  88   }
  89   return std::shared_ptr<GeomAPI_Pnt>(new GeomAPI_Pnt(aCentre.X(), aCentre.Y(), aCentre.Z()));
  90 }
  91
  92 //=================================================================================================
  93 void GeomAlgoAPI_ShapeTools::combineShapes(const std::shared_ptr<GeomAPI_Shape> theCompound,
  94                                            const GeomAPI_Shape::ShapeType theType,
  95                                            ListOfShape& theCombinedShapes,
  96                                            ListOfShape& theFreeShapes)
  97 {
  98   if(!theCompound.get()) {
  99     return;
 100   }
 101
 102   if(theType != GeomAPI_Shape::SHELL && theType != GeomAPI_Shape::COMPSOLID) {
 103     return;
 104   }
 105
 106   TopAbs_ShapeEnum aTS = TopAbs_EDGE;
 107   TopAbs_ShapeEnum aTA = TopAbs_FACE;
 108   if(theType == GeomAPI_Shape::COMPSOLID) {
 109     aTS = TopAbs_FACE;
 110     aTA = TopAbs_SOLID;
 111   }
 112
 113   // Get free shapes.
 114   const TopoDS_Shape& aShapesComp = theCompound->impl<TopoDS_Shape>();
 115   for(TopoDS_Iterator anIter(aShapesComp); anIter.More(); anIter.Next() ) {
 116     const TopoDS_Shape& aShape = anIter.Value();
 117     if(aShape.ShapeType() > aTA) {
 118       std::shared_ptr<GeomAPI_Shape> aGeomShape(new GeomAPI_Shape);
 119       aGeomShape->setImpl<TopoDS_Shape>(new TopoDS_Shape(aShape));
 120       theFreeShapes.push_back(aGeomShape);
 121     }
 122   }
 123
 124   // Map subshapes and shapes.
 125   BOPCol_IndexedDataMapOfShapeListOfShape aMapSA;
 126   BOPTools::MapShapesAndAncestors(aShapesComp, aTS, aTA, aMapSA);
 127   if(aMapSA.IsEmpty()) {
 128     return;
 129   }
 130
 131   // Get all shapes with common subshapes and free shapes.
 132   NCollection_Map<TopoDS_Shape> aFreeShapes;
 133   NCollection_Vector<NCollection_Map<TopoDS_Shape>> aShapesWithCommonSubshapes;
 134   for(BOPCol_IndexedDataMapOfShapeListOfShape::Iterator anIter(aMapSA); anIter.More(); anIter.Next()) {
 135     const TopoDS_Shape& aShape = anIter.Key();
 136     BOPCol_ListOfShape& aListOfShape = anIter.ChangeValue();
 137     if(aListOfShape.IsEmpty()) {
 138       continue;
 139     }
 140     else if(aListOfShape.Size() == 1) {
 141       const TopoDS_Shape& aF = aListOfShape.First();
 142       aFreeShapes.Add(aF);
 143       aListOfShape.Clear();
 144     } else {
 145       NCollection_List<TopoDS_Shape> aTempList;
 146       NCollection_Map<TopoDS_Shape> aTempMap;
 147       const TopoDS_Shape& aF = aListOfShape.First();
 148       const TopoDS_Shape& aL = aListOfShape.Last();
 149       aTempList.Append(aF);
 150       aTempList.Append(aL);
 151       aTempMap.Add(aF);
 152       aTempMap.Add(aL);
 153       aFreeShapes.Remove(aF);
 154       aFreeShapes.Remove(aL);
 155       aListOfShape.Clear();
 156       for(NCollection_List<TopoDS_Shape>::Iterator aTempIter(aTempList); aTempIter.More(); aTempIter.Next()) {
 157         const TopoDS_Shape& aTempShape = aTempIter.Value();
 158         for(BOPCol_IndexedDataMapOfShapeListOfShape::Iterator anIter(aMapSA); anIter.More(); anIter.Next()) {
 159           BOPCol_ListOfShape& aTempListOfShape = anIter.ChangeValue();
 160           if(aTempListOfShape.IsEmpty()) {
 161             continue;
 162           } else if(aTempListOfShape.Size() == 1 && aTempListOfShape.First() == aTempShape) {
 163             aTempListOfShape.Clear();
 164           } else if(aTempListOfShape.Size() > 1) {
 165             if(aTempListOfShape.First() == aTempShape) {
 166               const TopoDS_Shape& aTL = aTempListOfShape.Last();
 167               if(aTempMap.Add(aTL)) {
 168                 aTempList.Append(aTL);
 169                 aFreeShapes.Remove(aTL);
 170               }
 171               aTempListOfShape.Clear();
 172             } else if(aTempListOfShape.Last() == aTempShape) {
 173               const TopoDS_Shape& aTF = aTempListOfShape.First();
 174               if(aTempMap.Add(aTF)) {
 175                 aTempList.Append(aTF);
 176                 aFreeShapes.Remove(aTF);
 177               }
 178               aTempListOfShape.Clear();
 179             }
 180           }
 181         }
 182       }
 183       aShapesWithCommonSubshapes.Append(aTempMap);
 184     }
 185   }
 186
 187   // Combine shapes with common subshapes.
 188   for(NCollection_Vector<NCollection_Map<TopoDS_Shape>>::Iterator anIter(aShapesWithCommonSubshapes); anIter.More(); anIter.Next()) {
 189     TopoDS_Shell aShell;
 190     TopoDS_CompSolid aCSolid;
 191     TopoDS_Builder aBuilder;
 192     theType == GeomAPI_Shape::COMPSOLID ? aBuilder.MakeCompSolid(aCSolid) : aBuilder.MakeShell(aShell);
 193     NCollection_Map<TopoDS_Shape>& aShapesMap = anIter.ChangeValue();
 194     for(TopExp_Explorer anExp(aShapesComp, aTA); anExp.More(); anExp.Next()) {
 195       const TopoDS_Shape& aShape = anExp.Current();
 196       if(aShapesMap.Contains(aShape)) {
 197         theType == GeomAPI_Shape::COMPSOLID ? aBuilder.Add(aCSolid, aShape) : aBuilder.Add(aShell, aShape);
 198         aShapesMap.Remove(aShape);
 199       }
 200     }
 201     std::shared_ptr<GeomAPI_Shape> aGeomShape(new GeomAPI_Shape);
 202     TopoDS_Shape* aSh = theType == GeomAPI_Shape::COMPSOLID ? new TopoDS_Shape(aCSolid) : new TopoDS_Shape(aShell);
 203     aGeomShape->setImpl<TopoDS_Shape>(aSh);
 204     theCombinedShapes.push_back(aGeomShape);
 205   }
 206
 207   // Adding free shapes.
 208   for(TopExp_Explorer anExp(aShapesComp, aTA); anExp.More(); anExp.Next()) {
 209     const TopoDS_Shape& aShape = anExp.Current();
 210     if(aFreeShapes.Contains(aShape)) {
 211       std::shared_ptr<GeomAPI_Shape> aGeomShape(new GeomAPI_Shape);
 212       aGeomShape->setImpl<TopoDS_Shape>(new TopoDS_Shape(aShape));
 213       theFreeShapes.push_back(aGeomShape);
 214     }
 215   }
 216 }
 217
 218 //=================================================================================================
 219 std::list<std::shared_ptr<GeomAPI_Pnt> > GeomAlgoAPI_ShapeTools::getBoundingBox(const ListOfShape& theShapes, const double theEnlarge)
 220 {
 221   // Bounding box of all objects.
 222   Bnd_Box aBndBox;
 223
 224   // Getting box.
 225   for (ListOfShape::const_iterator anObjectsIt = theShapes.begin(); anObjectsIt != theShapes.end(); anObjectsIt++) {
 226     const TopoDS_Shape& aShape = (*anObjectsIt)->impl<TopoDS_Shape>();
 227     BRepBndLib::Add(aShape, aBndBox);
 228   }
 229
 230   if(theEnlarge != 0.0) {
 231     // We enlarge bounding box just to be sure that plane will be large enough to cut all objects.
 232     aBndBox.Enlarge(theEnlarge);
 233   }
 234
 235   Standard_Real aXArr[2] = {aBndBox.CornerMin().X(), aBndBox.CornerMax().X()};
 236   Standard_Real aYArr[2] = {aBndBox.CornerMin().Y(), aBndBox.CornerMax().Y()};
 237   Standard_Real aZArr[2] = {aBndBox.CornerMin().Z(), aBndBox.CornerMax().Z()};
 238   std::list<std::shared_ptr<GeomAPI_Pnt> > aResultPoints;
 239   int aNum = 0;
 240   for(int i = 0; i < 2; i++) {
 241     for(int j = 0; j < 2; j++) {
 242       for(int k = 0; k < 2; k++) {
 243         std::shared_ptr<GeomAPI_Pnt> aPnt(new GeomAPI_Pnt(aXArr[i], aYArr[j], aZArr[k]));
 244         aResultPoints.push_back(aPnt);
 245       }
 246     }
 247   }
 248
 249   return aResultPoints;
 250 }
 251
 252 //=================================================================================================
 253 std::shared_ptr<GeomAPI_Shape> GeomAlgoAPI_ShapeTools::faceToInfinitePlane(const std::shared_ptr<GeomAPI_Shape> theFace)
 254 {
 255   if (!theFace.get())
 256     return std::shared_ptr<GeomAPI_Shape>();
 257
 258   TopoDS_Face aPlaneFace = TopoDS::Face(theFace->impl<TopoDS_Shape>());
 259   if (aPlaneFace.IsNull())
 260     return std::shared_ptr<GeomAPI_Shape>();
 261
 262   Handle(Geom_Plane) aPlane = Handle(Geom_Plane)::DownCast(BRep_Tool::Surface(aPlaneFace));
 263   if (aPlane.IsNull())
 264     return std::shared_ptr<GeomAPI_Shape>();
 265
 266   // make an infinity face on the plane
 267   TopoDS_Shape anInfiniteFace = BRepBuilderAPI_MakeFace(aPlane->Pln()).Shape();
 268
 269   std::shared_ptr<GeomAPI_Shape> aResult(new GeomAPI_Shape);
 270   aResult->setImpl(new TopoDS_Shape(anInfiniteFace));
 271   return aResult;
 272 }
 273
 274 //=================================================================================================
 275 std::shared_ptr<GeomAPI_Shape> GeomAlgoAPI_ShapeTools::fitPlaneToBox(const std::shared_ptr<GeomAPI_Shape> thePlane,
 276                                                                      const std::list<std::shared_ptr<GeomAPI_Pnt> >& thePoints)
 277 {
 278   std::shared_ptr<GeomAPI_Shape> aResultShape;
 279
 280   if(!thePlane.get()) {
 281     return aResultShape;
 282   }
 283
 284   const TopoDS_Shape& aShape = thePlane->impl<TopoDS_Shape>();
 285   if(aShape.ShapeType() != TopAbs_FACE) {
 286     return aResultShape;
 287   }
 288
 289   TopoDS_Face aFace = TopoDS::Face(aShape);
 290   Handle(Geom_Surface) aSurf = BRep_Tool::Surface(aFace);
 291   if(aSurf.IsNull()) {
 292     return aResultShape;
 293   }
 294
 295   GeomLib_IsPlanarSurface isPlanar(aSurf);
 296   if(!isPlanar.IsPlanar()) {
 297     return aResultShape;
 298   }
 299
 300   if(thePoints.size() != 8) {
 301     return aResultShape;
 302   }
 303
 304   const gp_Pln& aFacePln = isPlanar.Plan();
 305   Handle(Geom_Plane) aFacePlane = new Geom_Plane(aFacePln);
 306   IntAna_Quadric aQuadric(aFacePln);
 307   Standard_Real UMin, UMax, VMin, VMax;
 308   UMin = UMax = VMin = VMax = 0;
 309   for (std::list<std::shared_ptr<GeomAPI_Pnt> >::const_iterator aPointsIt = thePoints.begin(); aPointsIt != thePoints.end(); aPointsIt++) {
 310     const gp_Pnt& aPnt = (*aPointsIt)->impl<gp_Pnt>();
 311     gp_Lin aLin(aPnt, aFacePln.Axis().Direction());
 312     IntAna_IntConicQuad anIntAna(aLin, aQuadric);
 313     const gp_Pnt& aPntOnFace = anIntAna.Point(1);
 314     Standard_Real aPntU(0), aPntV(0);
 315     GeomLib_Tool::Parameters(aFacePlane, aPntOnFace, Precision::Confusion(), aPntU, aPntV);
 316     if(aPntU < UMin) UMin = aPntU;
 317     if(aPntU > UMax) UMax = aPntU;
 318     if(aPntV < VMin) VMin = aPntV;
 319     if(aPntV > VMax) VMax = aPntV;
 320   }
 321   aResultShape.reset(new GeomAPI_Shape);
 322   aResultShape->setImpl(new TopoDS_Shape(BRepLib_MakeFace(aFacePln, UMin, UMax, VMin, VMax).Face()));
 323
 324   return aResultShape;
 325 }
 326
 327 //=================================================================================================
 328 void GeomAlgoAPI_ShapeTools::findBounds(const std::shared_ptr<GeomAPI_Shape> theShape,
 329                                         std::shared_ptr<GeomAPI_Vertex>& theV1,
 330                                         std::shared_ptr<GeomAPI_Vertex>& theV2)
 331 {
 332   if(!theShape.get()) {
 333     std::shared_ptr<GeomAPI_Vertex> aVertex(new GeomAPI_Vertex);
 334     aVertex->setImpl(new TopoDS_Vertex());
 335     theV1 = aVertex;
 336     theV2 = aVertex;
 337     return;
 338   }
 339
 340   const TopoDS_Shape& aShape = theShape->impl<TopoDS_Shape>();
 341   TopoDS_Vertex aV1, aV2;
 342   ShapeAnalysis::FindBounds(aShape, aV1, aV2);
 343
 344   std::shared_ptr<GeomAPI_Vertex> aGeomV1(new GeomAPI_Vertex()), aGeomV2(new GeomAPI_Vertex());
 345   aGeomV1->setImpl(new TopoDS_Vertex(aV1));
 346   aGeomV2->setImpl(new TopoDS_Vertex(aV2));
 347   theV1 = aGeomV1;
 348   theV2 = aGeomV2;
 349 }
 350
 351 //=================================================================================================
 352 void GeomAlgoAPI_ShapeTools::makeFacesWithHoles(const std::shared_ptr<GeomAPI_Pnt> theOrigin,
 353                                                 const std::shared_ptr<GeomAPI_Dir> theDirection,
 354                                                 const ListOfShape& theWires,
 355                                                 ListOfShape& theFaces)
 356 {
 357   BRepBuilderAPI_MakeFace aMKFace(gp_Pln(theOrigin->impl<gp_Pnt>(),
 358                                          theDirection->impl<gp_Dir>()));
 359   TopoDS_Face aFace = aMKFace.Face();
 360
 361   BRepAlgo_FaceRestrictor aFRestrictor;
 362   aFRestrictor.Init(aFace, Standard_False, Standard_True);
 363   for(ListOfShape::const_iterator anIt = theWires.cbegin();
 364       anIt != theWires.cend();
 365       ++anIt) {
 366     TopoDS_Wire aWire = TopoDS::Wire((*anIt)->impl<TopoDS_Shape>());
 367     aFRestrictor.Add(aWire);
 368   }
 369
 370   aFRestrictor.Perform();
 371
 372   if(!aFRestrictor.IsDone()) {
 373     return;
 374   }
 375
 376   for(; aFRestrictor.More(); aFRestrictor.Next()) {
 377     GeomShapePtr aShape(new GeomAPI_Shape());
 378     aShape->setImpl(new TopoDS_Shape(aFRestrictor.Current()));
 379     theFaces.push_back(aShape);
 380   }
 381 }
 382
 383 //=================================================================================================
 384 std::shared_ptr<GeomAPI_Pln> GeomAlgoAPI_ShapeTools::findPlane(const ListOfShape& theShapes)
 385 {
 386   TopoDS_Compound aCompound;
 387   BRep_Builder aBuilder;
 388   aBuilder.MakeCompound(aCompound);
 389
 390   for(ListOfShape::const_iterator anIt = theShapes.cbegin(); anIt != theShapes.cend(); ++anIt) {
 391     aBuilder.Add(aCompound, (*anIt)->impl<TopoDS_Shape>());
 392   }
 393   BRepBuilderAPI_FindPlane aFindPlane(aCompound);
 394
 395   if(aFindPlane.Found() != Standard_True) {
 396     return std::shared_ptr<GeomAPI_Pln>();
 397   }
 398
 399   Handle(Geom_Plane) aPlane = aFindPlane.Plane();
 400   gp_Pnt aLoc = aPlane->Location();
 401   gp_Dir aDir = aPlane->Axis().Direction();
 402
 403   std::shared_ptr<GeomAPI_Pnt> aGeomPnt(new GeomAPI_Pnt(aLoc.X(), aLoc.Y(), aLoc.Z()));
 404   std::shared_ptr<GeomAPI_Dir> aGeomDir(new GeomAPI_Dir(aDir.X(), aDir.Y(), aDir.Z()));
 405
 406   std::shared_ptr<GeomAPI_Pln> aPln(new GeomAPI_Pln(aGeomPnt, aGeomDir));
 407
 408   return aPln;
 409 }
 410
 411 //=================================================================================================
 412 bool GeomAlgoAPI_ShapeTools::isSubShapeInShape(const std::shared_ptr<GeomAPI_Shape> theSubShape,
 413                                                const std::shared_ptr<GeomAPI_Shape> theBaseShape)
 414 {
 415   if(!theSubShape.get() || !theBaseShape.get()) {
 416     return false;
 417   }
 418
 419   const TopoDS_Shape& aSubShape = theSubShape->impl<TopoDS_Shape>();
 420   const TopoDS_Shape& aBaseShape = theBaseShape->impl<TopoDS_Shape>();
 421
 422   if(aSubShape.ShapeType() == TopAbs_VERTEX) {
 423     // If sub-shape is a vertex check distance to shape. If it is <= Precision::Confusion() then OK.
 424     BRepExtrema_DistShapeShape aDist(aBaseShape, aSubShape);
 425     aDist.Perform();
 426     if(!aDist.IsDone() || aDist.Value() > Precision::Confusion()) {
 427       return false;
 428     }
 429   } else if (aSubShape.ShapeType() == TopAbs_EDGE) {
 430     if(aBaseShape.ShapeType() == TopAbs_FACE) {
 431       // Check that edge is on face surface.
 432       TopoDS_Face aFace = TopoDS::Face(aBaseShape);
 433       TopoDS_Edge anEdge = TopoDS::Edge(aSubShape);
 434       BRepLib_CheckCurveOnSurface aCheck(anEdge, aFace);
 435       aCheck.Perform();
 436       if(!aCheck.IsDone() || aCheck.MaxDistance() > Precision::Confusion()) {
 437         return false;
 438       }
 439
 440       // Check intersections.
 441       TopoDS_Vertex aV1, aV2;
 442       ShapeAnalysis::FindBounds(anEdge, aV1, aV2);
 443       gp_Pnt aPnt1 = BRep_Tool::Pnt(aV1);
 444       gp_Pnt aPnt2 = BRep_Tool::Pnt(aV2);
 445       for(TopExp_Explorer anExp(aBaseShape, TopAbs_EDGE); anExp.More(); anExp.Next()) {
 446         const TopoDS_Shape& anEdgeOnFace = anExp.Current();
 447         BRepExtrema_DistShapeShape aDist(anEdgeOnFace, anEdge);
 448         aDist.Perform();
 449         if(aDist.IsDone() && aDist.Value() <= Precision::Confusion()) {
 450           // Edge intersect face bound. Check that it is not on edge begin or end.
 451           for(Standard_Integer anIndex = 1; anIndex <= aDist.NbSolution(); ++anIndex) {
 452             gp_Pnt aPntOnSubShape = aDist.PointOnShape2(anIndex);
 453             if(aPntOnSubShape.Distance(aPnt1) > Precision::Confusion()
 454                 && aPntOnSubShape.Distance(aPnt2) > Precision::Confusion()) {
 455               return false;
 456             }
 457           }
 458         }
 459       }
 460
 461       // No intersections found. Edge is inside or outside face. Check it.
 462       BRepAdaptor_Curve aCurveAdaptor(anEdge);
 463       gp_Pnt aPointToCheck = aCurveAdaptor.Value((aCurveAdaptor.FirstParameter() + aCurveAdaptor.LastParameter()) / 2.0);
 464       Handle(Geom_Surface) aSurface = BRep_Tool::Surface(aFace);
 465       ShapeAnalysis_Surface aSAS(aSurface);
 466       gp_Pnt2d aPointOnFace = aSAS.ValueOfUV(aPointToCheck, Precision::Confusion());
 467       BRepTopAdaptor_FClass2d aFClass2d(aFace, Precision::Confusion());
 468       if(aFClass2d.Perform(aPointOnFace) == TopAbs_OUT) {
 469         return false;
 470       }
 471
 472     } else {
 473       return false;
 474     }
 475   } else {
 476     return false;
 477   }
 478
 479   return true;
 480 }