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_Edge.h>
  12 #include <GeomAPI_Dir.h>
  13 #include <GeomAPI_Face.h>
  14 #include <GeomAPI_Pln.h>
  15 #include <GeomAPI_Pnt.h>
  16
  17 #include <Bnd_Box.hxx>
  18 #include <BOPTools.hxx>
  19 #include <BRep_Builder.hxx>
  20 #include <BRepAdaptor_Curve.hxx>
  21 #include <BRepAlgo_FaceRestrictor.hxx>
  22 #include <BRepBndLib.hxx>
  23 #include <BRepBuilderAPI_FindPlane.hxx>
  24 #include <BRepBuilderAPI_MakeFace.hxx>
  25 #include <BRepCheck_Analyzer.hxx>
  26 #include <BRepExtrema_DistShapeShape.hxx>
  27 #include <BRepExtrema_ExtCF.hxx>
  28 #include <BRepGProp.hxx>
  29 #include <BRepTools.hxx>
  30 #include <BRepTopAdaptor_FClass2d.hxx>
  31 #include <Geom2d_Curve.hxx>
  32 #include <Handle_Geom2d_Curve.hxx>
  33 #include <BRepLib_CheckCurveOnSurface.hxx>
  34 #include <BRep_Tool.hxx>
  35 #include <Geom_Plane.hxx>
  36 #include <GeomLib_IsPlanarSurface.hxx>
  37 #include <GeomLib_Tool.hxx>
  38 #include <gp_Pln.hxx>
  39 #include <GProp_GProps.hxx>
  40 #include <IntAna_IntConicQuad.hxx>
  41 #include <IntAna_Quadric.hxx>
  42 #include <NCollection_Vector.hxx>
  43 #include <ShapeAnalysis.hxx>
  44 #include <ShapeAnalysis_Surface.hxx>
  45 #include <TopoDS_Builder.hxx>
  46 #include <TopoDS_Edge.hxx>
  47 #include <TopoDS_Face.hxx>
  48 #include <TopoDS_Shape.hxx>
  49 #include <TopoDS_Shell.hxx>
  50 #include <TopoDS_Vertex.hxx>
  51 #include <TopoDS.hxx>
  52 #include <TopExp_Explorer.hxx>
  53
  54 //==================================================================================================
  55 double GeomAlgoAPI_ShapeTools::volume(const std::shared_ptr<GeomAPI_Shape> theShape)
  56 {
  57   GProp_GProps aGProps;
  58   if(!theShape.get()) {
  59     return 0.0;
  60   }
  61   const TopoDS_Shape& aShape = theShape->impl<TopoDS_Shape>();
  62   if(aShape.IsNull()) {
  63     return 0.0;
  64   }
  65   const Standard_Real anEps = 1.e-6;
  66   BRepGProp::VolumeProperties(aShape, aGProps, anEps);
  67   return aGProps.Mass();
  68 }
  69
  70 //==================================================================================================
  71 std::shared_ptr<GeomAPI_Pnt> GeomAlgoAPI_ShapeTools::centreOfMass(const std::shared_ptr<GeomAPI_Shape> theShape)
  72 {
  73   GProp_GProps aGProps;
  74   if(!theShape) {
  75     return std::shared_ptr<GeomAPI_Pnt>();
  76   }
  77   const TopoDS_Shape& aShape = theShape->impl<TopoDS_Shape>();
  78   if(aShape.IsNull()) {
  79     return std::shared_ptr<GeomAPI_Pnt>();
  80   }
  81   gp_Pnt aCentre;
  82   if(aShape.ShapeType() == TopAbs_VERTEX) {
  83     aCentre = BRep_Tool::Pnt(TopoDS::Vertex(aShape));
  84   } else if(aShape.ShapeType() == TopAbs_EDGE || aShape.ShapeType() == TopAbs_WIRE) {
  85     BRepGProp::LinearProperties(aShape, aGProps);
  86     aCentre = aGProps.CentreOfMass();
  87   } else {
  88     BRepGProp::SurfaceProperties(aShape, aGProps);
  89     aCentre = aGProps.CentreOfMass();
  90   }
  91   return std::shared_ptr<GeomAPI_Pnt>(new GeomAPI_Pnt(aCentre.X(), aCentre.Y(), aCentre.Z()));
  92 }
  93
  94 //==================================================================================================
  95 std::shared_ptr<GeomAPI_Shape> GeomAlgoAPI_ShapeTools::combineShapes(const std::shared_ptr<GeomAPI_Shape> theCompound,
  96                                                                      const GeomAPI_Shape::ShapeType theType,
  97                                                                      ListOfShape& theCombinedShapes,
  98                                                                      ListOfShape& theFreeShapes)
  99 {
 100   GeomShapePtr aResult = theCompound;
 101
 102   if(!theCompound.get()) {
 103     return aResult;
 104   }
 105
 106   if(theType != GeomAPI_Shape::SHELL && theType != GeomAPI_Shape::COMPSOLID) {
 107     return aResult;
 108   }
 109
 110   TopAbs_ShapeEnum aTS = TopAbs_EDGE;
 111   TopAbs_ShapeEnum aTA = TopAbs_FACE;
 112   if(theType == GeomAPI_Shape::COMPSOLID) {
 113     aTS = TopAbs_FACE;
 114     aTA = TopAbs_SOLID;
 115   }
 116
 117   theCombinedShapes.clear();
 118   theFreeShapes.clear();
 119
 120   // Get free shapes.
 121   const TopoDS_Shape& aShapesComp = theCompound->impl<TopoDS_Shape>();
 122   for(TopoDS_Iterator anIter(aShapesComp); anIter.More(); anIter.Next() ) {
 123     const TopoDS_Shape& aShape = anIter.Value();
 124     if(aShape.ShapeType() > aTA) {
 125       std::shared_ptr<GeomAPI_Shape> aGeomShape(new GeomAPI_Shape);
 126       aGeomShape->setImpl<TopoDS_Shape>(new TopoDS_Shape(aShape));
 127       theFreeShapes.push_back(aGeomShape);
 128     }
 129   }
 130
 131   // Map subshapes and shapes.
 132   BOPCol_IndexedDataMapOfShapeListOfShape aMapSA;
 133   BOPTools::MapShapesAndAncestors(aShapesComp, aTS, aTA, aMapSA);
 134   if(aMapSA.IsEmpty()) {
 135     return aResult;
 136   }
 137
 138   // Get all shapes with common subshapes and free shapes.
 139   NCollection_Map<TopoDS_Shape> aFreeShapes;
 140   NCollection_Vector<NCollection_Map<TopoDS_Shape>> aShapesWithCommonSubshapes;
 141   for(BOPCol_IndexedDataMapOfShapeListOfShape::Iterator anIter(aMapSA); anIter.More(); anIter.Next()) {
 142     const TopoDS_Shape& aShape = anIter.Key();
 143     BOPCol_ListOfShape& aListOfShape = anIter.ChangeValue();
 144     if(aListOfShape.IsEmpty()) {
 145       continue;
 146     }
 147     else if(aListOfShape.Size() == 1) {
 148       const TopoDS_Shape& aF = aListOfShape.First();
 149       aFreeShapes.Add(aF);
 150       aListOfShape.Clear();
 151     } else {
 152       NCollection_List<TopoDS_Shape> aTempList;
 153       NCollection_Map<TopoDS_Shape> aTempMap;
 154       const TopoDS_Shape& aF = aListOfShape.First();
 155       const TopoDS_Shape& aL = aListOfShape.Last();
 156       aTempList.Append(aF);
 157       aTempList.Append(aL);
 158       aTempMap.Add(aF);
 159       aTempMap.Add(aL);
 160       aFreeShapes.Remove(aF);
 161       aFreeShapes.Remove(aL);
 162       aListOfShape.Clear();
 163       for(NCollection_List<TopoDS_Shape>::Iterator aTempIter(aTempList); aTempIter.More(); aTempIter.Next()) {
 164         const TopoDS_Shape& aTempShape = aTempIter.Value();
 165         for(BOPCol_IndexedDataMapOfShapeListOfShape::Iterator anIter(aMapSA); anIter.More(); anIter.Next()) {
 166           BOPCol_ListOfShape& aTempListOfShape = anIter.ChangeValue();
 167           if(aTempListOfShape.IsEmpty()) {
 168             continue;
 169           } else if(aTempListOfShape.Size() == 1 && aTempListOfShape.First() == aTempShape) {
 170             aTempListOfShape.Clear();
 171           } else if(aTempListOfShape.Size() > 1) {
 172             if(aTempListOfShape.First() == aTempShape) {
 173               const TopoDS_Shape& aTL = aTempListOfShape.Last();
 174               if(aTempMap.Add(aTL)) {
 175                 aTempList.Append(aTL);
 176                 aFreeShapes.Remove(aTL);
 177               }
 178               aTempListOfShape.Clear();
 179             } else if(aTempListOfShape.Last() == aTempShape) {
 180               const TopoDS_Shape& aTF = aTempListOfShape.First();
 181               if(aTempMap.Add(aTF)) {
 182                 aTempList.Append(aTF);
 183                 aFreeShapes.Remove(aTF);
 184               }
 185               aTempListOfShape.Clear();
 186             }
 187           }
 188         }
 189       }
 190       aShapesWithCommonSubshapes.Append(aTempMap);
 191     }
 192   }
 193
 194   // Combine shapes with common subshapes.
 195   for(NCollection_Vector<NCollection_Map<TopoDS_Shape>>::Iterator anIter(aShapesWithCommonSubshapes); anIter.More(); anIter.Next()) {
 196     TopoDS_Shell aShell;
 197     TopoDS_CompSolid aCSolid;
 198     TopoDS_Builder aBuilder;
 199     theType == GeomAPI_Shape::COMPSOLID ? aBuilder.MakeCompSolid(aCSolid) : aBuilder.MakeShell(aShell);
 200     NCollection_Map<TopoDS_Shape>& aShapesMap = anIter.ChangeValue();
 201     for(TopExp_Explorer anExp(aShapesComp, aTA); anExp.More(); anExp.Next()) {
 202       const TopoDS_Shape& aShape = anExp.Current();
 203       if(aShapesMap.Contains(aShape)) {
 204         theType == GeomAPI_Shape::COMPSOLID ? aBuilder.Add(aCSolid, aShape) : aBuilder.Add(aShell, aShape);
 205         aShapesMap.Remove(aShape);
 206       }
 207     }
 208     std::shared_ptr<GeomAPI_Shape> aGeomShape(new GeomAPI_Shape);
 209     TopoDS_Shape* aSh = theType == GeomAPI_Shape::COMPSOLID ? new TopoDS_Shape(aCSolid) : new TopoDS_Shape(aShell);
 210     aGeomShape->setImpl<TopoDS_Shape>(aSh);
 211     theCombinedShapes.push_back(aGeomShape);
 212   }
 213
 214   // Adding free shapes.
 215   for(TopExp_Explorer anExp(aShapesComp, aTA); anExp.More(); anExp.Next()) {
 216     const TopoDS_Shape& aShape = anExp.Current();
 217     if(aFreeShapes.Contains(aShape)) {
 218       std::shared_ptr<GeomAPI_Shape> aGeomShape(new GeomAPI_Shape);
 219       aGeomShape->setImpl<TopoDS_Shape>(new TopoDS_Shape(aShape));
 220       theFreeShapes.push_back(aGeomShape);
 221     }
 222   }
 223
 224   if(theCombinedShapes.size() == 1 && theFreeShapes.size() == 0) {
 225     aResult = theCombinedShapes.front();
 226   } else if(theCombinedShapes.size() == 0 && theFreeShapes.size() == 1) {
 227     aResult = theFreeShapes.front();
 228   } else {
 229     TopoDS_Compound aResultComp;
 230     TopoDS_Builder aBuilder;
 231     aBuilder.MakeCompound(aResultComp);
 232     for(ListOfShape::const_iterator anIter = theCombinedShapes.cbegin(); anIter != theCombinedShapes.cend(); anIter++) {
 233       aBuilder.Add(aResultComp, (*anIter)->impl<TopoDS_Shape>());
 234     }
 235     for(ListOfShape::const_iterator anIter = theFreeShapes.cbegin(); anIter != theFreeShapes.cend(); anIter++) {
 236       aBuilder.Add(aResultComp, (*anIter)->impl<TopoDS_Shape>());
 237     }
 238     aResult->setImpl(new TopoDS_Shape(aResultComp));
 239   }
 240
 241   return aResult;
 242 }
 243
 244 //==================================================================================================
 245 static void addSimpleShapeToList(const TopoDS_Shape& theShape, NCollection_List<TopoDS_Shape>& theList)
 246 {
 247   if(theShape.IsNull()) {
 248     return;
 249   }
 250
 251   if(theShape.ShapeType() == TopAbs_COMPOUND) {
 252     for(TopoDS_Iterator anIt(theShape); anIt.More(); anIt.Next()) {
 253       addSimpleShapeToList(anIt.Value(), theList);
 254     }
 255   } else {
 256     theList.Append(theShape);
 257   }
 258 }
 259
 260 //==================================================================================================
 261 static TopoDS_Compound makeCompound(const NCollection_List<TopoDS_Shape> theShapes)
 262 {
 263   TopoDS_Compound aCompound;
 264
 265   BRep_Builder aBuilder;
 266   aBuilder.MakeCompound(aCompound);
 267
 268   for(NCollection_List<TopoDS_Shape>::Iterator anIt(theShapes); anIt.More(); anIt.Next()) {
 269     aBuilder.Add(aCompound, anIt.Value());
 270   }
 271
 272   return aCompound;
 273 }
 274
 275 //==================================================================================================
 276 std::shared_ptr<GeomAPI_Shape> GeomAlgoAPI_ShapeTools::groupSharedTopology(const std::shared_ptr<GeomAPI_Shape> theCompound)
 277 {
 278   GeomShapePtr aResult = theCompound;
 279
 280   if(!theCompound.get()) {
 281     return aResult;
 282   }
 283
 284   TopoDS_Shape anInShape = aResult->impl<TopoDS_Shape>();
 285   NCollection_List<TopoDS_Shape> anUngroupedShapes;
 286   addSimpleShapeToList(anInShape, anUngroupedShapes);
 287
 288   NCollection_Vector<NCollection_List<TopoDS_Shape>> aGroups;
 289   while(!anUngroupedShapes.IsEmpty()) {
 290     NCollection_List<TopoDS_Shape> aGroupedShapes;
 291     aGroupedShapes.Append(anUngroupedShapes.First());
 292     anUngroupedShapes.RemoveFirst();
 293     for(NCollection_List<TopoDS_Shape>::Iterator aGroupIt(aGroupedShapes); aGroupIt.More(); aGroupIt.Next()) {
 294       const TopoDS_Shape& aGroupShape = aGroupIt.Value();
 295       for(NCollection_List<TopoDS_Shape>::Iterator anUngroupedIt(anUngroupedShapes); anUngroupedIt.More(); anUngroupedIt.Next()) {
 296         const TopoDS_Shape& anUngroupedShape = anUngroupedIt.Value();
 297         bool isFound = false;
 298         for(TopExp_Explorer aGroupShapeExp(aGroupShape, TopAbs_VERTEX); aGroupShapeExp.More(); aGroupShapeExp.Next()) {
 299           const TopoDS_Shape& aVertex1 = aGroupShapeExp.Current();
 300           for(TopExp_Explorer anUngroupedShapeExp(anUngroupedShape, TopAbs_VERTEX); anUngroupedShapeExp.More(); anUngroupedShapeExp.Next()) {
 301             const TopoDS_Shape& aVertex2 = anUngroupedShapeExp.Current();
 302             if(aVertex1.IsSame(aVertex2)) {
 303               aGroupedShapes.Append(anUngroupedShape);
 304               anUngroupedShapes.Remove(anUngroupedIt);
 305               isFound = true;
 306               break;
 307             }
 308           }
 309           if(isFound) {
 310             break;
 311           }
 312         }
 313         if(!anUngroupedIt.More()) {
 314           break;
 315         }
 316       }
 317     }
 318     aGroups.Append(aGroupedShapes);
 319   }
 320
 321   if(aGroups.Size() == 1) {
 322     NCollection_List<TopoDS_Shape> aGroup = aGroups.First();
 323     GeomShapePtr aGeomShape(new GeomAPI_Shape());
 324     aGeomShape->setImpl(new TopoDS_Shape(makeCompound(aGroup)));
 325     ListOfShape aCompSolids, aFreeSolids;
 326     aGeomShape = GeomAlgoAPI_ShapeTools::combineShapes(aGeomShape,
 327                                                         GeomAPI_Shape::COMPSOLID,
 328                                                         aCompSolids,
 329                                                         aFreeSolids);
 330     aResult = aGeomShape;
 331   } else {
 332     TopoDS_Compound aCompound;
 333     BRep_Builder aBuilder;
 334     aBuilder.MakeCompound(aCompound);
 335     ListOfShape aCompSolids, aFreeSolids;
 336     for(NCollection_Vector<NCollection_List<TopoDS_Shape>>::Iterator anIt(aGroups); anIt.More(); anIt.Next()) {
 337       NCollection_List<TopoDS_Shape> aGroup = anIt.Value();
 338       GeomShapePtr aGeomShape(new GeomAPI_Shape());
 339       if(aGroup.Size() == 1) {
 340         aGeomShape->setImpl(new TopoDS_Shape(aGroup.First()));
 341       } else {
 342         aGeomShape->setImpl(new TopoDS_Shape(makeCompound(aGroup)));
 343         aGeomShape = GeomAlgoAPI_ShapeTools::combineShapes(aGeomShape,
 344                                                            GeomAPI_Shape::COMPSOLID,
 345                                                            aCompSolids,
 346                                                            aFreeSolids);
 347       }
 348       aBuilder.Add(aCompound, aGeomShape->impl<TopoDS_Shape>());
 349     }
 350
 351     if(!aCompound.IsNull()) {
 352       aResult->setImpl(new TopoDS_Shape(aCompound));
 353     }
 354   }
 355
 356   return aResult;
 357 }
 358
 359 //==================================================================================================
 360 std::list<std::shared_ptr<GeomAPI_Pnt> > GeomAlgoAPI_ShapeTools::getBoundingBox(const ListOfShape& theShapes, const double theEnlarge)
 361 {
 362   // Bounding box of all objects.
 363   Bnd_Box aBndBox;
 364
 365   // Getting box.
 366   for (ListOfShape::const_iterator anObjectsIt = theShapes.begin(); anObjectsIt != theShapes.end(); anObjectsIt++) {
 367     const TopoDS_Shape& aShape = (*anObjectsIt)->impl<TopoDS_Shape>();
 368     BRepBndLib::Add(aShape, aBndBox);
 369   }
 370
 371   if(theEnlarge != 0.0) {
 372     // We enlarge bounding box just to be sure that plane will be large enough to cut all objects.
 373     aBndBox.Enlarge(theEnlarge);
 374   }
 375
 376   Standard_Real aXArr[2] = {aBndBox.CornerMin().X(), aBndBox.CornerMax().X()};
 377   Standard_Real aYArr[2] = {aBndBox.CornerMin().Y(), aBndBox.CornerMax().Y()};
 378   Standard_Real aZArr[2] = {aBndBox.CornerMin().Z(), aBndBox.CornerMax().Z()};
 379   std::list<std::shared_ptr<GeomAPI_Pnt> > aResultPoints;
 380   int aNum = 0;
 381   for(int i = 0; i < 2; i++) {
 382     for(int j = 0; j < 2; j++) {
 383       for(int k = 0; k < 2; k++) {
 384         std::shared_ptr<GeomAPI_Pnt> aPnt(new GeomAPI_Pnt(aXArr[i], aYArr[j], aZArr[k]));
 385         aResultPoints.push_back(aPnt);
 386       }
 387     }
 388   }
 389
 390   return aResultPoints;
 391 }
 392
 393 //==================================================================================================
 394 std::shared_ptr<GeomAPI_Shape> GeomAlgoAPI_ShapeTools::faceToInfinitePlane(const std::shared_ptr<GeomAPI_Shape> theFace)
 395 {
 396   if (!theFace.get())
 397     return std::shared_ptr<GeomAPI_Shape>();
 398
 399   TopoDS_Face aPlaneFace = TopoDS::Face(theFace->impl<TopoDS_Shape>());
 400   if (aPlaneFace.IsNull())
 401     return std::shared_ptr<GeomAPI_Shape>();
 402
 403   Handle(Geom_Plane) aPlane = Handle(Geom_Plane)::DownCast(BRep_Tool::Surface(aPlaneFace));
 404   if (aPlane.IsNull())
 405     return std::shared_ptr<GeomAPI_Shape>();
 406
 407   // make an infinity face on the plane
 408   TopoDS_Shape anInfiniteFace = BRepBuilderAPI_MakeFace(aPlane->Pln()).Shape();
 409
 410   std::shared_ptr<GeomAPI_Shape> aResult(new GeomAPI_Shape);
 411   aResult->setImpl(new TopoDS_Shape(anInfiniteFace));
 412   return aResult;
 413 }
 414
 415 //==================================================================================================
 416 std::shared_ptr<GeomAPI_Shape> GeomAlgoAPI_ShapeTools::fitPlaneToBox(const std::shared_ptr<GeomAPI_Shape> thePlane,
 417                                                                      const std::list<std::shared_ptr<GeomAPI_Pnt> >& thePoints)
 418 {
 419   std::shared_ptr<GeomAPI_Shape> aResultShape;
 420
 421   if(!thePlane.get()) {
 422     return aResultShape;
 423   }
 424
 425   const TopoDS_Shape& aShape = thePlane->impl<TopoDS_Shape>();
 426   if(aShape.ShapeType() != TopAbs_FACE) {
 427     return aResultShape;
 428   }
 429
 430   TopoDS_Face aFace = TopoDS::Face(aShape);
 431   Handle(Geom_Surface) aSurf = BRep_Tool::Surface(aFace);
 432   if(aSurf.IsNull()) {
 433     return aResultShape;
 434   }
 435
 436   GeomLib_IsPlanarSurface isPlanar(aSurf);
 437   if(!isPlanar.IsPlanar()) {
 438     return aResultShape;
 439   }
 440
 441   if(thePoints.size() != 8) {
 442     return aResultShape;
 443   }
 444
 445   const gp_Pln& aFacePln = isPlanar.Plan();
 446   Handle(Geom_Plane) aFacePlane = new Geom_Plane(aFacePln);
 447   IntAna_Quadric aQuadric(aFacePln);
 448   Standard_Real UMin, UMax, VMin, VMax;
 449   UMin = UMax = VMin = VMax = 0;
 450   for (std::list<std::shared_ptr<GeomAPI_Pnt> >::const_iterator aPointsIt = thePoints.begin(); aPointsIt != thePoints.end(); aPointsIt++) {
 451     const gp_Pnt& aPnt = (*aPointsIt)->impl<gp_Pnt>();
 452     gp_Lin aLin(aPnt, aFacePln.Axis().Direction());
 453     IntAna_IntConicQuad anIntAna(aLin, aQuadric);
 454     const gp_Pnt& aPntOnFace = anIntAna.Point(1);
 455     Standard_Real aPntU(0), aPntV(0);
 456     GeomLib_Tool::Parameters(aFacePlane, aPntOnFace, Precision::Confusion(), aPntU, aPntV);
 457     if(aPntU < UMin) UMin = aPntU;
 458     if(aPntU > UMax) UMax = aPntU;
 459     if(aPntV < VMin) VMin = aPntV;
 460     if(aPntV > VMax) VMax = aPntV;
 461   }
 462   aResultShape.reset(new GeomAPI_Shape);
 463   aResultShape->setImpl(new TopoDS_Shape(BRepLib_MakeFace(aFacePln, UMin, UMax, VMin, VMax).Face()));
 464
 465   return aResultShape;
 466 }
 467
 468 //==================================================================================================
 469 void GeomAlgoAPI_ShapeTools::findBounds(const std::shared_ptr<GeomAPI_Shape> theShape,
 470                                         std::shared_ptr<GeomAPI_Vertex>& theV1,
 471                                         std::shared_ptr<GeomAPI_Vertex>& theV2)
 472 {
 473   if(!theShape.get()) {
 474     std::shared_ptr<GeomAPI_Vertex> aVertex(new GeomAPI_Vertex);
 475     aVertex->setImpl(new TopoDS_Vertex());
 476     theV1 = aVertex;
 477     theV2 = aVertex;
 478     return;
 479   }
 480
 481   const TopoDS_Shape& aShape = theShape->impl<TopoDS_Shape>();
 482   TopoDS_Vertex aV1, aV2;
 483   ShapeAnalysis::FindBounds(aShape, aV1, aV2);
 484
 485   std::shared_ptr<GeomAPI_Vertex> aGeomV1(new GeomAPI_Vertex()), aGeomV2(new GeomAPI_Vertex());
 486   aGeomV1->setImpl(new TopoDS_Vertex(aV1));
 487   aGeomV2->setImpl(new TopoDS_Vertex(aV2));
 488   theV1 = aGeomV1;
 489   theV2 = aGeomV2;
 490 }
 491
 492 //==================================================================================================
 493 void GeomAlgoAPI_ShapeTools::makeFacesWithHoles(const std::shared_ptr<GeomAPI_Pnt> theOrigin,
 494                                                 const std::shared_ptr<GeomAPI_Dir> theDirection,
 495                                                 const ListOfShape& theWires,
 496                                                 ListOfShape& theFaces)
 497 {
 498   BRepBuilderAPI_MakeFace aMKFace(gp_Pln(theOrigin->impl<gp_Pnt>(),
 499                                           theDirection->impl<gp_Dir>()));
 500   TopoDS_Face aFace = aMKFace.Face();
 501
 502   BRepAlgo_FaceRestrictor aFRestrictor;
 503   aFRestrictor.Init(aFace, Standard_False, Standard_True);
 504   for(ListOfShape::const_iterator anIt = theWires.cbegin();
 505       anIt != theWires.cend();
 506       ++anIt) {
 507     TopoDS_Wire aWire = TopoDS::Wire((*anIt)->impl<TopoDS_Shape>());
 508     aFRestrictor.Add(aWire);
 509   }
 510
 511   aFRestrictor.Perform();
 512
 513   if(!aFRestrictor.IsDone()) {
 514     return;
 515   }
 516
 517   for(; aFRestrictor.More(); aFRestrictor.Next()) {
 518     GeomShapePtr aShape(new GeomAPI_Shape());
 519     aShape->setImpl(new TopoDS_Shape(aFRestrictor.Current()));
 520     theFaces.push_back(aShape);
 521   }
 522 }
 523
 524 //==================================================================================================
 525 std::shared_ptr<GeomAPI_Pln> GeomAlgoAPI_ShapeTools::findPlane(const ListOfShape& theShapes)
 526 {
 527   TopoDS_Compound aCompound;
 528   BRep_Builder aBuilder;
 529   aBuilder.MakeCompound(aCompound);
 530
 531   for(ListOfShape::const_iterator anIt = theShapes.cbegin(); anIt != theShapes.cend(); ++anIt) {
 532     aBuilder.Add(aCompound, (*anIt)->impl<TopoDS_Shape>());
 533   }
 534   BRepBuilderAPI_FindPlane aFindPlane(aCompound);
 535
 536   if(aFindPlane.Found() != Standard_True) {
 537     return std::shared_ptr<GeomAPI_Pln>();
 538   }
 539
 540   Handle(Geom_Plane) aPlane = aFindPlane.Plane();
 541   gp_Pnt aLoc = aPlane->Location();
 542   gp_Dir aDir = aPlane->Axis().Direction();
 543
 544   std::shared_ptr<GeomAPI_Pnt> aGeomPnt(new GeomAPI_Pnt(aLoc.X(), aLoc.Y(), aLoc.Z()));
 545   std::shared_ptr<GeomAPI_Dir> aGeomDir(new GeomAPI_Dir(aDir.X(), aDir.Y(), aDir.Z()));
 546
 547   std::shared_ptr<GeomAPI_Pln> aPln(new GeomAPI_Pln(aGeomPnt, aGeomDir));
 548
 549   return aPln;
 550 }
 551
 552 //==================================================================================================
 553 bool GeomAlgoAPI_ShapeTools::isSubShapeInsideShape(const std::shared_ptr<GeomAPI_Shape> theSubShape,
 554                                                    const std::shared_ptr<GeomAPI_Shape> theBaseShape)
 555 {
 556   if(!theSubShape.get() || !theBaseShape.get()) {
 557     return false;
 558   }
 559
 560   const TopoDS_Shape& aSubShape = theSubShape->impl<TopoDS_Shape>();
 561   const TopoDS_Shape& aBaseShape = theBaseShape->impl<TopoDS_Shape>();
 562
 563   if(aSubShape.ShapeType() == TopAbs_VERTEX) {
 564     // If sub-shape is a vertex check distance to shape. If it is <= Precision::Confusion() then OK.
 565     BRepExtrema_DistShapeShape aDist(aBaseShape, aSubShape);
 566     aDist.Perform();
 567     if(!aDist.IsDone() || aDist.Value() > Precision::Confusion()) {
 568       return false;
 569     }
 570   } else if (aSubShape.ShapeType() == TopAbs_EDGE) {
 571     if(aBaseShape.ShapeType() == TopAbs_FACE) {
 572       // Check that edge is on face surface.
 573       TopoDS_Face aFace = TopoDS::Face(aBaseShape);
 574       TopoDS_Edge anEdge = TopoDS::Edge(aSubShape);
 575       BRepLib_CheckCurveOnSurface aCheck(anEdge, aFace);
 576       aCheck.Perform();
 577       if(!aCheck.IsDone() || aCheck.MaxDistance() > Precision::Confusion()) {
 578         return false;
 579       }
 580
 581       // Check intersections.
 582       TopoDS_Vertex aV1, aV2;
 583       ShapeAnalysis::FindBounds(anEdge, aV1, aV2);
 584       gp_Pnt aPnt1 = BRep_Tool::Pnt(aV1);
 585       gp_Pnt aPnt2 = BRep_Tool::Pnt(aV2);
 586       for(TopExp_Explorer anExp(aBaseShape, TopAbs_EDGE); anExp.More(); anExp.Next()) {
 587         const TopoDS_Shape& anEdgeOnFace = anExp.Current();
 588         BRepExtrema_DistShapeShape aDist(anEdgeOnFace, anEdge);
 589         aDist.Perform();
 590         if(aDist.IsDone() && aDist.Value() <= Precision::Confusion()) {
 591           // Edge intersect face bound. Check that it is not on edge begin or end.
 592           for(Standard_Integer anIndex = 1; anIndex <= aDist.NbSolution(); ++anIndex) {
 593             gp_Pnt aPntOnSubShape = aDist.PointOnShape2(anIndex);
 594             if(aPntOnSubShape.Distance(aPnt1) > Precision::Confusion()
 595                 && aPntOnSubShape.Distance(aPnt2) > Precision::Confusion()) {
 596               return false;
 597             }
 598           }
 599         }
 600       }
 601
 602       // No intersections found. Edge is inside or outside face. Check it.
 603       BRepAdaptor_Curve aCurveAdaptor(anEdge);
 604       gp_Pnt aPointToCheck = aCurveAdaptor.Value((aCurveAdaptor.FirstParameter() + aCurveAdaptor.LastParameter()) / 2.0);
 605       Handle(Geom_Surface) aSurface = BRep_Tool::Surface(aFace);
 606       ShapeAnalysis_Surface aSAS(aSurface);
 607       gp_Pnt2d aPointOnFace = aSAS.ValueOfUV(aPointToCheck, Precision::Confusion());
 608       BRepTopAdaptor_FClass2d aFClass2d(aFace, Precision::Confusion());
 609       if(aFClass2d.Perform(aPointOnFace) == TopAbs_OUT) {
 610         return false;
 611       }
 612
 613     } else {
 614       return false;
 615     }
 616   } else {
 617     return false;
 618   }
 619
 620   return true;
 621 }
 622
 623 //==================================================================================================
 624 bool GeomAlgoAPI_ShapeTools::isShapeValid(const std::shared_ptr<GeomAPI_Shape> theShape)
 625 {
 626   if(!theShape.get()) {
 627     return false;
 628   }
 629
 630   BRepCheck_Analyzer aChecker(theShape->impl<TopoDS_Shape>());
 631   return (aChecker.IsValid() == Standard_True);
 632 }
 633
 634 //==================================================================================================
 635 std::shared_ptr<GeomAPI_Shape> GeomAlgoAPI_ShapeTools::getFaceOuterWire(const std::shared_ptr<GeomAPI_Shape> theFace)
 636 {
 637   GeomShapePtr anOuterWire;
 638
 639   if(!theFace.get() || !theFace->isFace()) {
 640     return anOuterWire;
 641   }
 642
 643   TopoDS_Face aFace = TopoDS::Face(theFace->impl<TopoDS_Shape>());
 644   TopoDS_Wire aWire = BRepTools::OuterWire(aFace);
 645
 646   anOuterWire.reset(new GeomAPI_Shape());
 647   anOuterWire->setImpl(new TopoDS_Shape(aWire));
 648
 649   return anOuterWire;
 650 }
 651
 652 //==================================================================================================
 653 bool GeomAlgoAPI_ShapeTools::isParallel(const std::shared_ptr<GeomAPI_Edge> theEdge,
 654                                         const std::shared_ptr<GeomAPI_Face> theFace)
 655 {
 656   if(!theEdge.get() || !theFace.get()) {
 657     return false;
 658   }
 659
 660   TopoDS_Edge anEdge = TopoDS::Edge(theEdge->impl<TopoDS_Shape>());
 661   TopoDS_Face aFace  = TopoDS::Face(theFace->impl<TopoDS_Shape>());
 662
 663   BRepExtrema_ExtCF anExt(anEdge, aFace);
 664   return anExt.IsParallel() == Standard_True;
 665 }