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 <BRepCheck_Analyzer.hxx>
  26 #include <BRepExtrema_DistShapeShape.hxx>
  27 #include <BRepGProp.hxx>
  28 #include <BRepTopAdaptor_FClass2d.hxx>
  29 #include <Geom_Curve.hxx>
  30 #include <Geom2d_Curve.hxx>
  31 #include <BRepLib_CheckCurveOnSurface.hxx>
  32 #include <BRep_Tool.hxx>
  33 #include <Geom_Plane.hxx>
  34 #include <GeomLib_IsPlanarSurface.hxx>
  35 #include <GeomLib_Tool.hxx>
  36 #include <GeomProjLib.hxx>
  37 #include <gp_Pln.hxx>
  38 #include <GProp_GProps.hxx>
  39 #include <IntAna_IntConicQuad.hxx>
  40 #include <IntAna_Quadric.hxx>
  41 #include <NCollection_Vector.hxx>
  42 #include <ShapeAnalysis.hxx>
  43 #include <ShapeAnalysis_Surface.hxx>
  44 #include <TopoDS_Builder.hxx>
  45 #include <TopoDS_Edge.hxx>
  46 #include <TopoDS_Face.hxx>
  47 #include <TopoDS_Shape.hxx>
  48 #include <TopoDS_Shell.hxx>
  49 #include <TopoDS_Vertex.hxx>
  50 #include <TopoDS.hxx>
  51 #include <TopExp_Explorer.hxx>
  52
  53 //==================================================================================================
  54 double GeomAlgoAPI_ShapeTools::volume(const std::shared_ptr<GeomAPI_Shape> theShape)
  55 {
  56   GProp_GProps aGProps;
  57   if(!theShape.get()) {
  58     return 0.0;
  59   }
  60   const TopoDS_Shape& aShape = theShape->impl<TopoDS_Shape>();
  61   if(aShape.IsNull()) {
  62     return 0.0;
  63   }
  64   const Standard_Real anEps = 1.e-6;
  65   BRepGProp::VolumeProperties(aShape, aGProps, anEps);
  66   return aGProps.Mass();
  67 }
  68
  69 //==================================================================================================
  70 std::shared_ptr<GeomAPI_Pnt> GeomAlgoAPI_ShapeTools::centreOfMass(const std::shared_ptr<GeomAPI_Shape> theShape)
  71 {
  72   GProp_GProps aGProps;
  73   if(!theShape) {
  74     return std::shared_ptr<GeomAPI_Pnt>();
  75   }
  76   const TopoDS_Shape& aShape = theShape->impl<TopoDS_Shape>();
  77   if(aShape.IsNull()) {
  78     return std::shared_ptr<GeomAPI_Pnt>();
  79   }
  80   gp_Pnt aCentre;
  81   if(aShape.ShapeType() == TopAbs_VERTEX) {
  82     aCentre = BRep_Tool::Pnt(TopoDS::Vertex(aShape));
  83   } else if(aShape.ShapeType() == TopAbs_EDGE || aShape.ShapeType() == TopAbs_WIRE) {
  84     BRepGProp::LinearProperties(aShape, aGProps);
  85     aCentre = aGProps.CentreOfMass();
  86   } else {
  87     BRepGProp::SurfaceProperties(aShape, aGProps);
  88     aCentre = aGProps.CentreOfMass();
  89   }
  90   return std::shared_ptr<GeomAPI_Pnt>(new GeomAPI_Pnt(aCentre.X(), aCentre.Y(), aCentre.Z()));
  91 }
  92
  93 //==================================================================================================
  94 std::shared_ptr<GeomAPI_Shape> GeomAlgoAPI_ShapeTools::combineShapes(const std::shared_ptr<GeomAPI_Shape> theCompound,
  95                                                                      const GeomAPI_Shape::ShapeType theType,
  96                                                                      ListOfShape& theCombinedShapes,
  97                                                                      ListOfShape& theFreeShapes)
  98 {
  99   GeomShapePtr aResult = theCompound;
 100
 101   if(!theCompound.get()) {
 102     return aResult;
 103   }
 104
 105   if(theType != GeomAPI_Shape::SHELL && theType != GeomAPI_Shape::COMPSOLID) {
 106     return aResult;
 107   }
 108
 109   TopAbs_ShapeEnum aTS = TopAbs_EDGE;
 110   TopAbs_ShapeEnum aTA = TopAbs_FACE;
 111   if(theType == GeomAPI_Shape::COMPSOLID) {
 112     aTS = TopAbs_FACE;
 113     aTA = TopAbs_SOLID;
 114   }
 115
 116   theCombinedShapes.clear();
 117   theFreeShapes.clear();
 118
 119   // Get free shapes.
 120   const TopoDS_Shape& aShapesComp = theCompound->impl<TopoDS_Shape>();
 121   for(TopoDS_Iterator anIter(aShapesComp); anIter.More(); anIter.Next() ) {
 122     const TopoDS_Shape& aShape = anIter.Value();
 123     if(aShape.ShapeType() > aTA) {
 124       std::shared_ptr<GeomAPI_Shape> aGeomShape(new GeomAPI_Shape);
 125       aGeomShape->setImpl<TopoDS_Shape>(new TopoDS_Shape(aShape));
 126       theFreeShapes.push_back(aGeomShape);
 127     }
 128   }
 129
 130   // Map subshapes and shapes.
 131   BOPCol_IndexedDataMapOfShapeListOfShape aMapSA;
 132   BOPTools::MapShapesAndAncestors(aShapesComp, aTS, aTA, aMapSA);
 133   if(aMapSA.IsEmpty()) {
 134     return aResult;
 135   }
 136
 137   // Get all shapes with common subshapes and free shapes.
 138   NCollection_Map<TopoDS_Shape> aFreeShapes;
 139   NCollection_Vector<NCollection_Map<TopoDS_Shape>> aShapesWithCommonSubshapes;
 140   for(BOPCol_IndexedDataMapOfShapeListOfShape::Iterator anIter(aMapSA); anIter.More(); anIter.Next()) {
 141     const TopoDS_Shape& aShape = anIter.Key();
 142     BOPCol_ListOfShape& aListOfShape = anIter.ChangeValue();
 143     if(aListOfShape.IsEmpty()) {
 144       continue;
 145     }
 146     else if(aListOfShape.Size() == 1) {
 147       const TopoDS_Shape& aF = aListOfShape.First();
 148       aFreeShapes.Add(aF);
 149       aListOfShape.Clear();
 150     } else {
 151       NCollection_List<TopoDS_Shape> aTempList;
 152       NCollection_Map<TopoDS_Shape> aTempMap;
 153       const TopoDS_Shape& aF = aListOfShape.First();
 154       const TopoDS_Shape& aL = aListOfShape.Last();
 155       aTempList.Append(aF);
 156       aTempList.Append(aL);
 157       aTempMap.Add(aF);
 158       aTempMap.Add(aL);
 159       aFreeShapes.Remove(aF);
 160       aFreeShapes.Remove(aL);
 161       aListOfShape.Clear();
 162       for(NCollection_List<TopoDS_Shape>::Iterator aTempIter(aTempList); aTempIter.More(); aTempIter.Next()) {
 163         const TopoDS_Shape& aTempShape = aTempIter.Value();
 164         for(BOPCol_IndexedDataMapOfShapeListOfShape::Iterator anIter(aMapSA); anIter.More(); anIter.Next()) {
 165           BOPCol_ListOfShape& aTempListOfShape = anIter.ChangeValue();
 166           if(aTempListOfShape.IsEmpty()) {
 167             continue;
 168           } else if(aTempListOfShape.Size() == 1 && aTempListOfShape.First() == aTempShape) {
 169             aTempListOfShape.Clear();
 170           } else if(aTempListOfShape.Size() > 1) {
 171             if(aTempListOfShape.First() == aTempShape) {
 172               const TopoDS_Shape& aTL = aTempListOfShape.Last();
 173               if(aTempMap.Add(aTL)) {
 174                 aTempList.Append(aTL);
 175                 aFreeShapes.Remove(aTL);
 176               }
 177               aTempListOfShape.Clear();
 178             } else if(aTempListOfShape.Last() == aTempShape) {
 179               const TopoDS_Shape& aTF = aTempListOfShape.First();
 180               if(aTempMap.Add(aTF)) {
 181                 aTempList.Append(aTF);
 182                 aFreeShapes.Remove(aTF);
 183               }
 184               aTempListOfShape.Clear();
 185             }
 186           }
 187         }
 188       }
 189       aShapesWithCommonSubshapes.Append(aTempMap);
 190     }
 191   }
 192
 193   // Combine shapes with common subshapes.
 194   for(NCollection_Vector<NCollection_Map<TopoDS_Shape>>::Iterator anIter(aShapesWithCommonSubshapes); anIter.More(); anIter.Next()) {
 195     TopoDS_Shell aShell;
 196     TopoDS_CompSolid aCSolid;
 197     TopoDS_Builder aBuilder;
 198     theType == GeomAPI_Shape::COMPSOLID ? aBuilder.MakeCompSolid(aCSolid) : aBuilder.MakeShell(aShell);
 199     NCollection_Map<TopoDS_Shape>& aShapesMap = anIter.ChangeValue();
 200     for(TopExp_Explorer anExp(aShapesComp, aTA); anExp.More(); anExp.Next()) {
 201       const TopoDS_Shape& aShape = anExp.Current();
 202       if(aShapesMap.Contains(aShape)) {
 203         theType == GeomAPI_Shape::COMPSOLID ? aBuilder.Add(aCSolid, aShape) : aBuilder.Add(aShell, aShape);
 204         aShapesMap.Remove(aShape);
 205       }
 206     }
 207     std::shared_ptr<GeomAPI_Shape> aGeomShape(new GeomAPI_Shape);
 208     TopoDS_Shape* aSh = theType == GeomAPI_Shape::COMPSOLID ? new TopoDS_Shape(aCSolid) : new TopoDS_Shape(aShell);
 209     aGeomShape->setImpl<TopoDS_Shape>(aSh);
 210     theCombinedShapes.push_back(aGeomShape);
 211   }
 212
 213   // Adding free shapes.
 214   for(TopExp_Explorer anExp(aShapesComp, aTA); anExp.More(); anExp.Next()) {
 215     const TopoDS_Shape& aShape = anExp.Current();
 216     if(aFreeShapes.Contains(aShape)) {
 217       std::shared_ptr<GeomAPI_Shape> aGeomShape(new GeomAPI_Shape);
 218       aGeomShape->setImpl<TopoDS_Shape>(new TopoDS_Shape(aShape));
 219       theFreeShapes.push_back(aGeomShape);
 220     }
 221   }
 222
 223   if(theCombinedShapes.size() == 1 && theFreeShapes.size() == 0) {
 224     aResult = theCombinedShapes.front();
 225   } else if (theCombinedShapes.size() > 1 || (theCombinedShapes.size() >= 1 && theFreeShapes.size() >= 1)) {
 226     TopoDS_Compound aResultComp;
 227     TopoDS_Builder aBuilder;
 228     aBuilder.MakeCompound(aResultComp);
 229     for(ListOfShape::const_iterator anIter = theCombinedShapes.cbegin(); anIter != theCombinedShapes.cend(); anIter++) {
 230       aBuilder.Add(aResultComp, (*anIter)->impl<TopoDS_Shape>());
 231     }
 232     for(ListOfShape::const_iterator anIter = theFreeShapes.cbegin(); anIter != theFreeShapes.cend(); anIter++) {
 233       aBuilder.Add(aResultComp, (*anIter)->impl<TopoDS_Shape>());
 234     }
 235     aResult->setImpl(new TopoDS_Shape(aResultComp));
 236   }
 237
 238   return aResult;
 239 }
 240
 241 //==================================================================================================
 242 static void addSimpleShapeToList(const TopoDS_Shape& theShape, NCollection_List<TopoDS_Shape>& theList)
 243 {
 244   if(theShape.IsNull()) {
 245     return;
 246   }
 247
 248   if(theShape.ShapeType() == TopAbs_COMPOUND) {
 249     for(TopoDS_Iterator anIt(theShape); anIt.More(); anIt.Next()) {
 250       addSimpleShapeToList(anIt.Value(), theList);
 251     }
 252   } else {
 253     theList.Append(theShape);
 254   }
 255 }
 256
 257 //==================================================================================================
 258 static TopoDS_Compound makeCompound(const NCollection_List<TopoDS_Shape> theShapes)
 259 {
 260   TopoDS_Compound aCompound;
 261
 262   BRep_Builder aBuilder;
 263   aBuilder.MakeCompound(aCompound);
 264
 265   for(NCollection_List<TopoDS_Shape>::Iterator anIt(theShapes); anIt.More(); anIt.Next()) {
 266     aBuilder.Add(aCompound, anIt.Value());
 267   }
 268
 269   return aCompound;
 270 }
 271
 272 //==================================================================================================
 273 std::shared_ptr<GeomAPI_Shape> GeomAlgoAPI_ShapeTools::groupSharedTopology(const std::shared_ptr<GeomAPI_Shape> theCompound)
 274 {
 275   GeomShapePtr aResult = theCompound;
 276
 277   if(!theCompound.get()) {
 278     return aResult;
 279   }
 280
 281   TopoDS_Shape anInShape = aResult->impl<TopoDS_Shape>();
 282   NCollection_List<TopoDS_Shape> anUngroupedShapes;
 283   addSimpleShapeToList(anInShape, anUngroupedShapes);
 284
 285   NCollection_Vector<NCollection_List<TopoDS_Shape>> aGroups;
 286   while(!anUngroupedShapes.IsEmpty()) {
 287     NCollection_List<TopoDS_Shape> aGroupedShapes;
 288     aGroupedShapes.Append(anUngroupedShapes.First());
 289     anUngroupedShapes.RemoveFirst();
 290     for(NCollection_List<TopoDS_Shape>::Iterator aGroupIt(aGroupedShapes); aGroupIt.More(); aGroupIt.Next()) {
 291       const TopoDS_Shape& aGroupShape = aGroupIt.Value();
 292       for(NCollection_List<TopoDS_Shape>::Iterator anUngroupedIt(anUngroupedShapes); anUngroupedIt.More(); anUngroupedIt.Next()) {
 293         const TopoDS_Shape& anUngroupedShape = anUngroupedIt.Value();
 294         bool isFound = false;
 295         for(TopExp_Explorer aGroupShapeExp(aGroupShape, TopAbs_VERTEX); aGroupShapeExp.More(); aGroupShapeExp.Next()) {
 296           const TopoDS_Shape& aVertex1 = aGroupShapeExp.Current();
 297           for(TopExp_Explorer anUngroupedShapeExp(anUngroupedShape, TopAbs_VERTEX); anUngroupedShapeExp.More(); anUngroupedShapeExp.Next()) {
 298             const TopoDS_Shape& aVertex2 = anUngroupedShapeExp.Current();
 299             if(aVertex1.IsSame(aVertex2)) {
 300               aGroupedShapes.Append(anUngroupedShape);
 301               anUngroupedShapes.Remove(anUngroupedIt);
 302               isFound = true;
 303               break;
 304             }
 305           }
 306           if(isFound) {
 307             break;
 308           }
 309         }
 310         if(!anUngroupedIt.More()) {
 311           break;
 312         }
 313       }
 314     }
 315     aGroups.Append(aGroupedShapes);
 316   }
 317
 318   TopoDS_Compound aCompound;
 319   BRep_Builder aBuilder;
 320   aBuilder.MakeCompound(aCompound);
 321   ListOfShape aCompSolids, aFreeSolids;
 322   for(NCollection_Vector<NCollection_List<TopoDS_Shape>>::Iterator anIt(aGroups); anIt.More(); anIt.Next()) {
 323     NCollection_List<TopoDS_Shape> aGroup = anIt.Value();
 324     GeomShapePtr aGeomShape(new GeomAPI_Shape());
 325     if(aGroup.Size() == 1) {
 326       aGeomShape->setImpl(new TopoDS_Shape(aGroup.First()));
 327     } else {
 328       aGeomShape->setImpl(new TopoDS_Shape(makeCompound(anIt.Value())));
 329       aGeomShape = GeomAlgoAPI_ShapeTools::combineShapes(aGeomShape,
 330                                                          GeomAPI_Shape::COMPSOLID,
 331                                                          aCompSolids,
 332                                                          aFreeSolids);
 333     }
 334     aBuilder.Add(aCompound, aGeomShape->impl<TopoDS_Shape>());
 335   }
 336
 337   if(!aCompound.IsNull()) {
 338     aResult->setImpl(new TopoDS_Shape(aCompound));
 339   }
 340
 341   return aResult;
 342 }
 343
 344 //==================================================================================================
 345 std::list<std::shared_ptr<GeomAPI_Pnt> > GeomAlgoAPI_ShapeTools::getBoundingBox(const ListOfShape& theShapes, const double theEnlarge)
 346 {
 347   // Bounding box of all objects.
 348   Bnd_Box aBndBox;
 349
 350   // Getting box.
 351   for (ListOfShape::const_iterator anObjectsIt = theShapes.begin(); anObjectsIt != theShapes.end(); anObjectsIt++) {
 352     const TopoDS_Shape& aShape = (*anObjectsIt)->impl<TopoDS_Shape>();
 353     BRepBndLib::Add(aShape, aBndBox);
 354   }
 355
 356   if(theEnlarge != 0.0) {
 357     // We enlarge bounding box just to be sure that plane will be large enough to cut all objects.
 358     aBndBox.Enlarge(theEnlarge);
 359   }
 360
 361   Standard_Real aXArr[2] = {aBndBox.CornerMin().X(), aBndBox.CornerMax().X()};
 362   Standard_Real aYArr[2] = {aBndBox.CornerMin().Y(), aBndBox.CornerMax().Y()};
 363   Standard_Real aZArr[2] = {aBndBox.CornerMin().Z(), aBndBox.CornerMax().Z()};
 364   std::list<std::shared_ptr<GeomAPI_Pnt> > aResultPoints;
 365   int aNum = 0;
 366   for(int i = 0; i < 2; i++) {
 367     for(int j = 0; j < 2; j++) {
 368       for(int k = 0; k < 2; k++) {
 369         std::shared_ptr<GeomAPI_Pnt> aPnt(new GeomAPI_Pnt(aXArr[i], aYArr[j], aZArr[k]));
 370         aResultPoints.push_back(aPnt);
 371       }
 372     }
 373   }
 374
 375   return aResultPoints;
 376 }
 377
 378 //==================================================================================================
 379 std::shared_ptr<GeomAPI_Shape> GeomAlgoAPI_ShapeTools::faceToInfinitePlane(const std::shared_ptr<GeomAPI_Shape> theFace)
 380 {
 381   if (!theFace.get())
 382     return std::shared_ptr<GeomAPI_Shape>();
 383
 384   TopoDS_Face aPlaneFace = TopoDS::Face(theFace->impl<TopoDS_Shape>());
 385   if (aPlaneFace.IsNull())
 386     return std::shared_ptr<GeomAPI_Shape>();
 387
 388   Handle(Geom_Plane) aPlane = Handle(Geom_Plane)::DownCast(BRep_Tool::Surface(aPlaneFace));
 389   if (aPlane.IsNull())
 390     return std::shared_ptr<GeomAPI_Shape>();
 391
 392   // make an infinity face on the plane
 393   TopoDS_Shape anInfiniteFace = BRepBuilderAPI_MakeFace(aPlane->Pln()).Shape();
 394
 395   std::shared_ptr<GeomAPI_Shape> aResult(new GeomAPI_Shape);
 396   aResult->setImpl(new TopoDS_Shape(anInfiniteFace));
 397   return aResult;
 398 }
 399
 400 //==================================================================================================
 401 std::shared_ptr<GeomAPI_Shape> GeomAlgoAPI_ShapeTools::fitPlaneToBox(const std::shared_ptr<GeomAPI_Shape> thePlane,
 402                                                                      const std::list<std::shared_ptr<GeomAPI_Pnt> >& thePoints)
 403 {
 404   std::shared_ptr<GeomAPI_Shape> aResultShape;
 405
 406   if(!thePlane.get()) {
 407     return aResultShape;
 408   }
 409
 410   const TopoDS_Shape& aShape = thePlane->impl<TopoDS_Shape>();
 411   if(aShape.ShapeType() != TopAbs_FACE) {
 412     return aResultShape;
 413   }
 414
 415   TopoDS_Face aFace = TopoDS::Face(aShape);
 416   Handle(Geom_Surface) aSurf = BRep_Tool::Surface(aFace);
 417   if(aSurf.IsNull()) {
 418     return aResultShape;
 419   }
 420
 421   GeomLib_IsPlanarSurface isPlanar(aSurf);
 422   if(!isPlanar.IsPlanar()) {
 423     return aResultShape;
 424   }
 425
 426   if(thePoints.size() != 8) {
 427     return aResultShape;
 428   }
 429
 430   const gp_Pln& aFacePln = isPlanar.Plan();
 431   Handle(Geom_Plane) aFacePlane = new Geom_Plane(aFacePln);
 432   IntAna_Quadric aQuadric(aFacePln);
 433   Standard_Real UMin, UMax, VMin, VMax;
 434   UMin = UMax = VMin = VMax = 0;
 435   for (std::list<std::shared_ptr<GeomAPI_Pnt> >::const_iterator aPointsIt = thePoints.begin(); aPointsIt != thePoints.end(); aPointsIt++) {
 436     const gp_Pnt& aPnt = (*aPointsIt)->impl<gp_Pnt>();
 437     gp_Lin aLin(aPnt, aFacePln.Axis().Direction());
 438     IntAna_IntConicQuad anIntAna(aLin, aQuadric);
 439     const gp_Pnt& aPntOnFace = anIntAna.Point(1);
 440     Standard_Real aPntU(0), aPntV(0);
 441     GeomLib_Tool::Parameters(aFacePlane, aPntOnFace, Precision::Confusion(), aPntU, aPntV);
 442     if(aPntU < UMin) UMin = aPntU;
 443     if(aPntU > UMax) UMax = aPntU;
 444     if(aPntV < VMin) VMin = aPntV;
 445     if(aPntV > VMax) VMax = aPntV;
 446   }
 447   aResultShape.reset(new GeomAPI_Shape);
 448   aResultShape->setImpl(new TopoDS_Shape(BRepLib_MakeFace(aFacePln, UMin, UMax, VMin, VMax).Face()));
 449
 450   return aResultShape;
 451 }
 452
 453 //==================================================================================================
 454 void GeomAlgoAPI_ShapeTools::findBounds(const std::shared_ptr<GeomAPI_Shape> theShape,
 455                                         std::shared_ptr<GeomAPI_Vertex>& theV1,
 456                                         std::shared_ptr<GeomAPI_Vertex>& theV2)
 457 {
 458   if(!theShape.get()) {
 459     std::shared_ptr<GeomAPI_Vertex> aVertex(new GeomAPI_Vertex);
 460     aVertex->setImpl(new TopoDS_Vertex());
 461     theV1 = aVertex;
 462     theV2 = aVertex;
 463     return;
 464   }
 465
 466   const TopoDS_Shape& aShape = theShape->impl<TopoDS_Shape>();
 467   TopoDS_Vertex aV1, aV2;
 468   ShapeAnalysis::FindBounds(aShape, aV1, aV2);
 469
 470   std::shared_ptr<GeomAPI_Vertex> aGeomV1(new GeomAPI_Vertex()), aGeomV2(new GeomAPI_Vertex());
 471   aGeomV1->setImpl(new TopoDS_Vertex(aV1));
 472   aGeomV2->setImpl(new TopoDS_Vertex(aV2));
 473   theV1 = aGeomV1;
 474   theV2 = aGeomV2;
 475 }
 476
 477 //==================================================================================================
 478 void GeomAlgoAPI_ShapeTools::makeFacesWithHoles(const std::shared_ptr<GeomAPI_Pnt> theOrigin,
 479                                                 const std::shared_ptr<GeomAPI_Dir> theDirection,
 480                                                 const ListOfShape& theWires,
 481                                                 ListOfShape& theFaces)
 482 {
 483   BRepBuilderAPI_MakeFace aMKFace(gp_Pln(theOrigin->impl<gp_Pnt>(),
 484                                           theDirection->impl<gp_Dir>()));
 485   TopoDS_Face aFace = aMKFace.Face();
 486
 487   BRepAlgo_FaceRestrictor aFRestrictor;
 488   aFRestrictor.Init(aFace, Standard_False, Standard_True);
 489   for(ListOfShape::const_iterator anIt = theWires.cbegin();
 490       anIt != theWires.cend();
 491       ++anIt) {
 492     TopoDS_Wire aWire = TopoDS::Wire((*anIt)->impl<TopoDS_Shape>());
 493     aFRestrictor.Add(aWire);
 494   }
 495
 496   aFRestrictor.Perform();
 497
 498   if(!aFRestrictor.IsDone()) {
 499     return;
 500   }
 501
 502   for(; aFRestrictor.More(); aFRestrictor.Next()) {
 503     GeomShapePtr aShape(new GeomAPI_Shape());
 504     aShape->setImpl(new TopoDS_Shape(aFRestrictor.Current()));
 505     theFaces.push_back(aShape);
 506   }
 507 }
 508
 509 //==================================================================================================
 510 std::shared_ptr<GeomAPI_Pln> GeomAlgoAPI_ShapeTools::findPlane(const ListOfShape& theShapes)
 511 {
 512   TopoDS_Compound aCompound;
 513   BRep_Builder aBuilder;
 514   aBuilder.MakeCompound(aCompound);
 515
 516   for(ListOfShape::const_iterator anIt = theShapes.cbegin(); anIt != theShapes.cend(); ++anIt) {
 517     aBuilder.Add(aCompound, (*anIt)->impl<TopoDS_Shape>());
 518   }
 519   BRepBuilderAPI_FindPlane aFindPlane(aCompound);
 520
 521   if(aFindPlane.Found() != Standard_True) {
 522     return std::shared_ptr<GeomAPI_Pln>();
 523   }
 524
 525   Handle(Geom_Plane) aPlane = aFindPlane.Plane();
 526   gp_Pnt aLoc = aPlane->Location();
 527   gp_Dir aDir = aPlane->Axis().Direction();
 528
 529   std::shared_ptr<GeomAPI_Pnt> aGeomPnt(new GeomAPI_Pnt(aLoc.X(), aLoc.Y(), aLoc.Z()));
 530   std::shared_ptr<GeomAPI_Dir> aGeomDir(new GeomAPI_Dir(aDir.X(), aDir.Y(), aDir.Z()));
 531
 532   std::shared_ptr<GeomAPI_Pln> aPln(new GeomAPI_Pln(aGeomPnt, aGeomDir));
 533
 534   return aPln;
 535 }
 536
 537 //==================================================================================================
 538 bool GeomAlgoAPI_ShapeTools::isSubShapeInsideShape(const std::shared_ptr<GeomAPI_Shape> theSubShape,
 539                                                    const std::shared_ptr<GeomAPI_Shape> theBaseShape)
 540 {
 541   if(!theSubShape.get() || !theBaseShape.get()) {
 542     return false;
 543   }
 544
 545   const TopoDS_Shape& aSubShape = theSubShape->impl<TopoDS_Shape>();
 546   const TopoDS_Shape& aBaseShape = theBaseShape->impl<TopoDS_Shape>();
 547
 548   if(aSubShape.ShapeType() == TopAbs_VERTEX) {
 549     // If sub-shape is a vertex check distance to shape. If it is <= Precision::Confusion() then OK.
 550     BRepExtrema_DistShapeShape aDist(aBaseShape, aSubShape);
 551     aDist.Perform();
 552     if(!aDist.IsDone() || aDist.Value() > Precision::Confusion()) {
 553       return false;
 554     }
 555   } else if (aSubShape.ShapeType() == TopAbs_EDGE) {
 556     if(aBaseShape.ShapeType() == TopAbs_FACE) {
 557       // Check that edge is on face surface.
 558       TopoDS_Face aFace = TopoDS::Face(aBaseShape);
 559       TopoDS_Edge anEdge = TopoDS::Edge(aSubShape);
 560       BRepLib_CheckCurveOnSurface aCheck(anEdge, aFace);
 561       aCheck.Perform();
 562       if(!aCheck.IsDone() || aCheck.MaxDistance() > Precision::Confusion()) {
 563         return false;
 564       }
 565
 566       // Check intersections.
 567       TopoDS_Vertex aV1, aV2;
 568       ShapeAnalysis::FindBounds(anEdge, aV1, aV2);
 569       gp_Pnt aPnt1 = BRep_Tool::Pnt(aV1);
 570       gp_Pnt aPnt2 = BRep_Tool::Pnt(aV2);
 571       for(TopExp_Explorer anExp(aBaseShape, TopAbs_EDGE); anExp.More(); anExp.Next()) {
 572         const TopoDS_Shape& anEdgeOnFace = anExp.Current();
 573         BRepExtrema_DistShapeShape aDist(anEdgeOnFace, anEdge);
 574         aDist.Perform();
 575         if(aDist.IsDone() && aDist.Value() <= Precision::Confusion()) {
 576           // Edge intersect face bound. Check that it is not on edge begin or end.
 577           for(Standard_Integer anIndex = 1; anIndex <= aDist.NbSolution(); ++anIndex) {
 578             gp_Pnt aPntOnSubShape = aDist.PointOnShape2(anIndex);
 579             if(aPntOnSubShape.Distance(aPnt1) > Precision::Confusion()
 580                 && aPntOnSubShape.Distance(aPnt2) > Precision::Confusion()) {
 581               return false;
 582             }
 583           }
 584         }
 585       }
 586
 587       // No intersections found. Edge is inside or outside face. Check it.
 588       BRepAdaptor_Curve aCurveAdaptor(anEdge);
 589       gp_Pnt aPointToCheck = aCurveAdaptor.Value((aCurveAdaptor.FirstParameter() + aCurveAdaptor.LastParameter()) / 2.0);
 590       Handle(Geom_Surface) aSurface = BRep_Tool::Surface(aFace);
 591       ShapeAnalysis_Surface aSAS(aSurface);
 592       gp_Pnt2d aPointOnFace = aSAS.ValueOfUV(aPointToCheck, Precision::Confusion());
 593       BRepTopAdaptor_FClass2d aFClass2d(aFace, Precision::Confusion());
 594       if(aFClass2d.Perform(aPointOnFace) == TopAbs_OUT) {
 595         return false;
 596       }
 597
 598     } else {
 599       return false;
 600     }
 601   } else {
 602     return false;
 603   }
 604
 605   return true;
 606 }
 607
 608 //==================================================================================================
 609 bool GeomAlgoAPI_ShapeTools::isShapeValid(const std::shared_ptr<GeomAPI_Shape> theShape)
 610 {
 611   if(!theShape.get()) {
 612     return false;
 613   }
 614
 615   BRepCheck_Analyzer aChecker(theShape->impl<TopoDS_Shape>());
 616   return (aChecker.IsValid() == Standard_True);
 617 }