C++ TopoDS_Edge::IsNull方法代码示例

bool Edgecluster::IsValidEdge(const TopoDS_Edge& edge)
{
    if ( edge.IsNull() )
        return false;
    if ( BRep_Tool::Degenerated(edge) )
        return false;

    BRepAdaptor_Curve bac(edge);

    Standard_Real fparam = bac.FirstParameter();
    Standard_Real lparam = bac.LastParameter();

    gp_Pnt fpoint = bac.Value(fparam);
    gp_Pnt lpoint = bac.Value(lparam);

    //do not test the distance first last in case of a full circle edge (fpoint == lastpoint)
    //if ( fpoint.IsEqual(lpoint,1e-5 ) )
    //      return false;

    gp_Pnt mpoint = bac.Value((fparam+lparam)*0.5);

    Standard_Real dist = mpoint.Distance(lpoint);
    if ( dist <= 1e-5 )
        return false;
    dist = mpoint.Distance(fpoint);
    if ( dist <= 1e-5 )
        return false;

    return true;
}

bool SMESH_Algo::GetSortedNodesOnEdge(const SMESHDS_Mesh*                   theMesh,
                                      const TopoDS_Edge&                    theEdge,
                                      const bool                            ignoreMediumNodes,
                                      map< double, const SMDS_MeshNode* > & theNodes)
{
  theNodes.clear();

  if ( !theMesh || theEdge.IsNull() )
    return false;

  SMESHDS_SubMesh * eSubMesh = theMesh->MeshElements( theEdge );
  if ( !eSubMesh || !eSubMesh->GetElements()->more() )
    return false; // edge is not meshed

  int nbNodes = 0;
  set < double > paramSet;
  if ( eSubMesh )
  {
    // loop on nodes of an edge: sort them by param on edge
    SMDS_NodeIteratorPtr nIt = eSubMesh->GetNodes();
    while ( nIt->more() )
    {
      const SMDS_MeshNode* node = nIt->next();
      if ( ignoreMediumNodes ) {
        SMDS_ElemIteratorPtr elemIt = node->GetInverseElementIterator();
        if ( elemIt->more() && elemIt->next()->IsMediumNode( node ))
          continue;
      }
      const SMDS_PositionPtr& pos = node->GetPosition();
      if ( pos->GetTypeOfPosition() != SMDS_TOP_EDGE )
        return false;
      const SMDS_EdgePosition* epos =
        static_cast<const SMDS_EdgePosition*>(node->GetPosition().get());
      theNodes.insert( make_pair( epos->GetUParameter(), node ));
      ++nbNodes;
    }
  }
  // add vertex nodes
  TopoDS_Vertex v1, v2;
  TopExp::Vertices(theEdge, v1, v2);
  const SMDS_MeshNode* n1 = VertexNode( v1, (SMESHDS_Mesh*) theMesh );
  const SMDS_MeshNode* n2 = VertexNode( v2, (SMESHDS_Mesh*) theMesh );
  Standard_Real f, l;
  BRep_Tool::Range(theEdge, f, l);
  if ( v1.Orientation() != TopAbs_FORWARD )
    std::swap( f, l );
  if ( n1 && ++nbNodes )
    theNodes.insert( make_pair( f, n1 ));
  if ( n2 && ++nbNodes )
    theNodes.insert( make_pair( l, n2 ));

  return theNodes.size() == nbNodes;
}

bool SMESH_Algo::GetNodeParamOnEdge(const SMESHDS_Mesh* theMesh,
                                    const TopoDS_Edge&  theEdge,
                                    vector< double > &  theParams)
{
  theParams.clear();

  if ( !theMesh || theEdge.IsNull() )
    return false;

  SMESHDS_SubMesh * eSubMesh = theMesh->MeshElements( theEdge );
  if ( !eSubMesh || !eSubMesh->GetElements()->more() )
    return false; // edge is not meshed

  //int nbEdgeNodes = 0;
  set < double > paramSet;
  if ( eSubMesh )
  {
    // loop on nodes of an edge: sort them by param on edge
    SMDS_NodeIteratorPtr nIt = eSubMesh->GetNodes();
    while ( nIt->more() )
    {
      const SMDS_MeshNode* node = nIt->next();
      const SMDS_PositionPtr& pos = node->GetPosition();
      if ( pos->GetTypeOfPosition() != SMDS_TOP_EDGE )
        return false;
      const SMDS_EdgePosition* epos =
        static_cast<const SMDS_EdgePosition*>(node->GetPosition().get());
      if ( !paramSet.insert( epos->GetUParameter() ).second )
        return false; // equal parameters
    }
  }
  // add vertex nodes params
  TopoDS_Vertex V1,V2;
  TopExp::Vertices( theEdge, V1, V2);
  if ( VertexNode( V1, theMesh ) &&
       !paramSet.insert( BRep_Tool::Parameter(V1,theEdge) ).second )
    return false; // there are equal parameters
  if ( VertexNode( V2, theMesh ) &&
       !paramSet.insert( BRep_Tool::Parameter(V2,theEdge) ).second )
    return false; // there are equal parameters

  // fill the vector
  theParams.resize( paramSet.size() );
  set < double >::iterator   par    = paramSet.begin();
  vector< double >::iterator vecPar = theParams.begin();
  for ( ; par != paramSet.end(); ++par, ++vecPar )
    *vecPar = *par;

  return theParams.size() > 1;
}

void Edgecluster::Perform(const TopoDS_Edge& edge)
{
    if ( edge.IsNull() )
        return;
    TopoDS_Vertex V1,V2;
    TopExp::Vertices(edge,V1,V2);
    gp_Pnt P1 = BRep_Tool::Pnt(V1);
    gp_Pnt P2 = BRep_Tool::Pnt(V2);

    tEdgeVector emptyList;

    std::pair<tMapPntEdge::iterator,bool> iter = m_vertices.insert(tMapPntEdgePair(P1,emptyList));
    iter.first->second.push_back(edge);
    iter = m_vertices.insert(tMapPntEdgePair(P2,emptyList));
    iter.first->second.push_back(edge);
}

StdMeshers_FaceSide *
StdMeshers_CompositeSegment_1D::GetFaceSide(SMESH_Mesh&        aMesh,
                                            const TopoDS_Edge& anEdge,
                                            const TopoDS_Face& aFace,
                                            const bool         ignoreMeshed)
{
  list< TopoDS_Edge > edges;
  edges.push_back( anEdge );

  list <const SMESHDS_Hypothesis *> hypList;
  SMESH_Algo* theAlgo = aMesh.GetGen()->GetAlgo( aMesh, anEdge );
  if ( theAlgo ) hypList = theAlgo->GetUsedHypothesis(aMesh, anEdge, false);
  for ( int forward = 0; forward < 2; ++forward )
  {
    TopoDS_Edge eNext = nextC1Edge( anEdge, aMesh, forward );
    while ( !eNext.IsNull() ) {
      if ( ignoreMeshed ) {
        // eNext must not have computed mesh
        if ( SMESHDS_SubMesh* sm = aMesh.GetMeshDS()->MeshElements(eNext) )
          if ( sm->NbNodes() || sm->NbElements() )
            break;
      }
      // eNext must have same hypotheses
      SMESH_Algo* algo = aMesh.GetGen()->GetAlgo( aMesh, eNext );
      if ( !algo ||
           string(theAlgo->GetName()) != algo->GetName() ||
           hypList != algo->GetUsedHypothesis(aMesh, eNext, false))
        break;
      if ( forward )
        edges.push_back( eNext );
      else
        edges.push_front( eNext );
      eNext = nextC1Edge( eNext, aMesh, forward );
    }
  }
  return new StdMeshers_FaceSide( aFace, edges, &aMesh, true, false );
}

App::DocumentObjectExecReturn *Draft::execute(void)
{
    // Get parameters
    // Base shape
    Part::TopoShape TopShape;
    try {
        TopShape = getBaseShape();
    } catch (Base::Exception& e) {
        return new App::DocumentObjectExecReturn(e.what());
    }

    // Faces where draft should be applied
    // Note: Cannot be const reference currently because of BRepOffsetAPI_DraftAngle::Remove() bug, see below
    std::vector<std::string> SubVals = Base.getSubValuesStartsWith("Face");
    if (SubVals.size() == 0)
        return new App::DocumentObjectExecReturn("No faces specified");

    // Draft angle
    double angle = Angle.getValue() / 180.0 * M_PI;

    // Pull direction
    gp_Dir pullDirection;
    App::DocumentObject* refDirection = PullDirection.getValue();    
    if (refDirection != NULL) {
        if (refDirection->getTypeId().isDerivedFrom(PartDesign::Line::getClassTypeId())) {
                    PartDesign::Line* line = static_cast<PartDesign::Line*>(refDirection);
                    Base::Vector3d d = line->getDirection();
                    pullDirection = gp_Dir(d.x, d.y, d.z);
        } else if (refDirection->getTypeId().isDerivedFrom(Part::Feature::getClassTypeId())) {
            std::vector<std::string> subStrings = PullDirection.getSubValues();
            if (subStrings.empty() || subStrings[0].empty())
                throw Base::Exception("No pull direction reference specified");

            Part::Feature* refFeature = static_cast<Part::Feature*>(refDirection);
            Part::TopoShape refShape = refFeature->Shape.getShape();
            TopoDS_Shape ref = refShape.getSubShape(subStrings[0].c_str());

            if (ref.ShapeType() == TopAbs_EDGE) {
                TopoDS_Edge refEdge = TopoDS::Edge(ref);
                if (refEdge.IsNull())
                    throw Base::Exception("Failed to extract pull direction reference edge");
                BRepAdaptor_Curve adapt(refEdge);
                if (adapt.GetType() != GeomAbs_Line)
                    throw Base::Exception("Pull direction reference edge must be linear");

                pullDirection = adapt.Line().Direction();
            } else {
                throw Base::Exception("Pull direction reference must be an edge or a datum line");
            }
        } else {
            throw Base::Exception("Pull direction reference must be an edge of a feature or a datum line");
        }

        TopLoc_Location invObjLoc = this->getLocation().Inverted();
        pullDirection.Transform(invObjLoc.Transformation());
    }

    // Neutral plane
    gp_Pln neutralPlane;
    App::DocumentObject* refPlane = NeutralPlane.getValue();
    if (refPlane == NULL) {
        // Try to guess a neutral plane from the first selected face
        // Get edges of first selected face
        TopoDS_Shape face = TopShape.getSubShape(SubVals[0].c_str());
        TopTools_IndexedMapOfShape mapOfEdges;
        TopExp::MapShapes(face, TopAbs_EDGE, mapOfEdges);
        bool found = false;

        for (int i = 1; i <= mapOfEdges.Extent(); i++) {
            // Note: What happens if mapOfEdges(i) is the degenerated edge of a cone?
            // But in that case the draft is not possible anyway!
            BRepAdaptor_Curve c(TopoDS::Edge(mapOfEdges(i)));
            gp_Pnt p1 = c.Value(c.FirstParameter());
            gp_Pnt p2 = c.Value(c.LastParameter());

            if (c.IsClosed()) {
                // Edge is a circle or a circular arc (other types are not allowed for drafting)
                neutralPlane = gp_Pln(p1, c.Circle().Axis().Direction());
                found = true;
                break;
            } else {
                // Edge is linear
                // Find midpoint of edge and create auxiliary plane through midpoint normal to edge
                gp_Pnt pm = c.Value((c.FirstParameter() + c.LastParameter()) / 2.0);
                Handle(Geom_Plane) aux = new Geom_Plane(pm, gp_Dir(p2.X() - p1.X(), p2.Y() - p1.Y(), p2.Z() - p1.Z()));
                // Intersect plane with face. Is there no easier way?
                BRepAdaptor_Surface adapt(TopoDS::Face(face), Standard_False);
                Handle(Geom_Surface) sf = adapt.Surface().Surface();
                GeomAPI_IntSS intersector(aux, sf, Precision::Confusion());
                if (!intersector.IsDone())
                    continue;
                Handle(Geom_Curve) icurve = intersector.Line(1);
                if (!icurve->IsKind(STANDARD_TYPE(Geom_Line)))
                    continue;
                // TODO: How to extract the line from icurve without creating an edge first?
                TopoDS_Edge edge = BRepBuilderAPI_MakeEdge(icurve);
                BRepAdaptor_Curve c(edge);
                neutralPlane = gp_Pln(pm, c.Line().Direction());
                found = true;
                break;
//.........这里部分代码省略.........

const std::list<gp_Trsf> LinearPattern::getTransformations(const std::vector<App::DocumentObject*>)
{
    std::string stdDirection = StdDirection.getValue();
    float distance = Length.getValue();
    if (distance < Precision::Confusion())
        throw Base::Exception("Pattern length too small");
    int occurrences = Occurrences.getValue();
    if (occurrences < 2)
        throw Base::Exception("At least two occurrences required");
    bool reversed = Reversed.getValue();

    gp_Dir dir;
    double offset = distance / (occurrences - 1);

    if (!stdDirection.empty()) {
        // Note: The placement code commented out below had the defect of working always on the
        // absolute X,Y,Z direction, not on the relative coordinate system of the Body feature.
        // It requires positionBySupport() to be called in Transformed::Execute() AFTER
        // the call to getTransformations()
        // New code thanks to logari81
        if (stdDirection == "X") {
            //dir = Base::Axis(Base::Vector3d(0,0,0), Base::Vector3d(1,0,0));
            dir = gp_Dir(1,0,0);
        } else if (stdDirection == "Y") {
            //dir = Base::Axis(Base::Vector3d(0,0,0), Base::Vector3d(0,1,0));
            dir = gp_Dir(0,1,0);
        } else if(stdDirection == "Z") {
            //dir = Base::Axis(Base::Vector3d(0,0,0), Base::Vector3d(0,0,1));
            dir = gp_Dir(0,0,1);
        } else {
            throw Base::Exception("Invalid direction (must be X, Y or Z)");
        }
    } else {
        App::DocumentObject* refObject = Direction.getValue();
        if (refObject == NULL)
            throw Base::Exception("No direction specified");
        if (!refObject->getTypeId().isDerivedFrom(Part::Feature::getClassTypeId()))
            throw Base::Exception("Direction reference must be edge or face of a feature");
        std::vector<std::string> subStrings = Direction.getSubValues();
        if (subStrings.empty() || subStrings[0].empty())
            throw Base::Exception("No direction reference specified");

        Part::Feature* refFeature = static_cast<Part::Feature*>(refObject);
        Part::TopoShape refShape = refFeature->Shape.getShape();
        TopoDS_Shape ref = refShape.getSubShape(subStrings[0].c_str());

        if (ref.ShapeType() == TopAbs_FACE) {
            TopoDS_Face refFace = TopoDS::Face(ref);
            if (refFace.IsNull())
                throw Base::Exception("Failed to extract direction plane");
            BRepAdaptor_Surface adapt(refFace);
            if (adapt.GetType() != GeomAbs_Plane)
                throw Base::Exception("Direction face must be planar");

            dir = adapt.Plane().Axis().Direction();
            //gp_Dir d = adapt.Plane().Axis().Direction();
            //dir = Base::Axis(Base::Vector3d(0,0,0), Base::Vector3d(d.X(), d.Y(), d.Z()));
        } else if (ref.ShapeType() == TopAbs_EDGE) {
            TopoDS_Edge refEdge = TopoDS::Edge(ref);
            if (refEdge.IsNull())
                throw Base::Exception("Failed to extract direction edge");
            BRepAdaptor_Curve adapt(refEdge);
            if (adapt.GetType() != GeomAbs_Line)
                throw Base::Exception("Direction edge must be a straight line");

            //gp_Dir d = adapt.Line().Direction();
            //dir = Base::Axis(Base::Vector3d(0,0,0), Base::Vector3d(d.X(), d.Y(), d.Z()));
            dir = adapt.Line().Direction();
        } else {
            throw Base::Exception("Direction reference must be edge or face");
        }
        TopLoc_Location invObjLoc = this->getLocation().Inverted();
        dir.Transform(invObjLoc.Transformation());
    }

    // get the support placement
    // TODO: Check for NULL pointer
    /*Part::Feature* supportFeature = static_cast<Part::Feature*>(originals.front());
    if (supportFeature == NULL)
        throw Base::Exception("Cannot work on invalid support shape");
    Base::Placement supportPlacement = supportFeature->Placement.getValue();
    dir *= supportPlacement;
    gp_Vec direction(dir.getDirection().x, dir.getDirection().y, dir.getDirection().z);*/
    gp_Vec direction(dir.X(), dir.Y(), dir.Z());

    if (reversed)
        direction.Reverse();

    // Note: The original feature is NOT included in the list of transformations! Therefore
    // we start with occurrence number 1, not number 0
    std::list<gp_Trsf> transformations;
    gp_Trsf trans;
    transformations.push_back(trans); // identity transformation

    for (int i = 1; i < occurrences; i++) {
        trans.SetTranslation(direction * i * offset);
        transformations.push_back(trans);
    }

    return transformations;
//.........这里部分代码省略.........

//.........这里部分代码省略.........
        nbSeg = nbFac = nbVol = isOK = 0;
        break;
      }
      nodeVec.at(i) = node;
      if (newNodeOnVertex)
      {
        // point on vertex
        meshDS->SetNodeOnVertex(node, aVert);
        pindMap.Add(i);
      }
    }

    // create mesh segments along geometric edges
    NCollection_Map<Link> linkMap;
    for (i = nbInitSeg+1; i <= nbSeg/* && isOK*/; ++i )
    {
      const netgen::Segment& seg = ngMesh->LineSegment(i);
      Link link(seg.p1, seg.p2);
      if (linkMap.Contains(link))
        continue;
      linkMap.Add(link);
      TopoDS_Edge aEdge;
      int pinds[3] = { seg.p1, seg.p2, seg.pmid };
      int nbp = 0;
      double param2 = 0;
      for (int j=0; j < 3; ++j)
      {
        int pind = pinds[j];
        if (pind <= 0) continue;
        ++nbp;
        double param;
        if (j < 2)
        {
          if (aEdge.IsNull())
          {
            int aGeomEdgeInd = seg.epgeominfo[j].edgenr;
            if (aGeomEdgeInd > 0 && aGeomEdgeInd <= occgeo.emap.Extent())
              aEdge = TopoDS::Edge(occgeo.emap(aGeomEdgeInd));
          }
          param = seg.epgeominfo[j].dist;
          param2 += param;
        }
        else
          param = param2 * 0.5;
        if (pind <= nbInitNod || pindMap.Contains(pind))
          continue;
        if (!aEdge.IsNull())
        {
          meshDS->SetNodeOnEdge(nodeVec.at(pind), aEdge, param);
          pindMap.Add(pind);
        }
      }
      SMDS_MeshEdge* edge;
      if (nbp < 3) // second order ?
        edge = meshDS->AddEdge(nodeVec.at(pinds[0]), nodeVec.at(pinds[1]));
      else
        edge = meshDS->AddEdge(nodeVec.at(pinds[0]), nodeVec.at(pinds[1]),
                                nodeVec.at(pinds[2]));
      if (!edge)
      {
        if ( !comment.size() ) comment << "Cannot create a mesh edge";
        MESSAGE("Cannot create a mesh edge");
        nbSeg = nbFac = nbVol = isOK = 0;
        break;
      }
      if (!aEdge.IsNull())

const std::list<gp_Trsf> PolarPattern::getTransformations(const std::vector<App::DocumentObject*>)
{
    float angle = Angle.getValue();
    if (angle < Precision::Confusion())
        throw Base::Exception("Pattern angle too small");
    int occurrences = Occurrences.getValue();
    if (occurrences < 2)
        throw Base::Exception("At least two occurrences required");
    bool reversed = Reversed.getValue();

    double offset;
    if (std::abs(angle - 360.0) < Precision::Confusion())
        offset = Base::toRadians<double>(angle) / occurrences; // Because e.g. two occurrences in 360 degrees need to be 180 degrees apart
    else
        offset = Base::toRadians<double>(angle) / (occurrences - 1);

    App::DocumentObject* refObject = Axis.getValue();
    if (refObject == NULL)
        throw Base::Exception("No axis reference specified");
    if (!refObject->getTypeId().isDerivedFrom(Part::Feature::getClassTypeId()))
        throw Base::Exception("Axis reference must be edge of a feature");
    std::vector<std::string> subStrings = Axis.getSubValues();
    if (subStrings.empty() || subStrings[0].empty())
        throw Base::Exception("No axis reference specified");

    gp_Pnt axbase;
    gp_Dir axdir;
    if (refObject->getTypeId().isDerivedFrom(Part::Part2DObject::getClassTypeId())) {
        Part::Part2DObject* refSketch = static_cast<Part::Part2DObject*>(refObject);
        Base::Axis axis;
        if (subStrings[0] == "H_Axis")
            axis = refSketch->getAxis(Part::Part2DObject::H_Axis);
        else if (subStrings[0] == "V_Axis")
            axis = refSketch->getAxis(Part::Part2DObject::V_Axis);
        else if (subStrings[0] == "N_Axis")
            axis = refSketch->getAxis(Part::Part2DObject::N_Axis);
        else if (subStrings[0].size() > 4 && subStrings[0].substr(0,4) == "Axis") {
            int AxId = std::atoi(subStrings[0].substr(4,4000).c_str());
            if (AxId >= 0 && AxId < refSketch->getAxisCount())
                axis = refSketch->getAxis(AxId);
        }
        axis *= refSketch->Placement.getValue();
        axbase = gp_Pnt(axis.getBase().x, axis.getBase().y, axis.getBase().z);
        axdir = gp_Dir(axis.getDirection().x, axis.getDirection().y, axis.getDirection().z);
    } else {
        Part::Feature* refFeature = static_cast<Part::Feature*>(refObject);
        Part::TopoShape refShape = refFeature->Shape.getShape();
        TopoDS_Shape ref = refShape.getSubShape(subStrings[0].c_str());

        if (ref.ShapeType() == TopAbs_EDGE) {
            TopoDS_Edge refEdge = TopoDS::Edge(ref);
            if (refEdge.IsNull())
                throw Base::Exception("Failed to extract axis edge");
            BRepAdaptor_Curve adapt(refEdge);
            if (adapt.GetType() != GeomAbs_Line)
                throw Base::Exception("Axis edge must be a straight line");

            axbase = adapt.Value(adapt.FirstParameter());
            axdir = adapt.Line().Direction();
        } else {
            throw Base::Exception("Axis reference must be an edge");
        }
    }
    TopLoc_Location invObjLoc = this->getLocation().Inverted();
    axbase.Transform(invObjLoc.Transformation());
    axdir.Transform(invObjLoc.Transformation());

    gp_Ax2 axis(axbase, axdir);

    if (reversed)
        axis.SetDirection(axis.Direction().Reversed());

    // Note: The original feature is NOT included in the list of transformations! Therefore
    // we start with occurrence number 1, not number 0
    std::list<gp_Trsf> transformations;
    gp_Trsf trans;
    transformations.push_back(trans); // identity transformation

    for (int i = 1; i < occurrences; i++) {
        trans.SetRotation(axis.Axis(), i * offset);
        transformations.push_back(trans);
    }

    return transformations;
}

//=======================================================================
//function : Execute
//purpose  :
//=======================================================================
Standard_Integer GEOMImpl_Fillet1dDriver::Execute(TFunction_Logbook& log) const
{
  if (Label().IsNull()) return 0;
  Handle(GEOM_Function) aFunction = GEOM_Function::GetFunction(Label());

  GEOMImpl_IFillet1d aCI (aFunction);

  Handle(GEOM_Function) aRefShape = aCI.GetShape();
  TopoDS_Shape aShape = aRefShape->GetValue();
  if (aShape.IsNull())
    return 0;
  if (aShape.ShapeType() != TopAbs_WIRE)
    Standard_ConstructionError::Raise("Wrong arguments: polyline as wire must be given");

  TopoDS_Wire aWire = TopoDS::Wire(aShape);

  double rad = aCI.GetR();

  if ( rad < Precision::Confusion())
    return 0;

  // collect vertices for make fillet
  TopTools_ListOfShape aVertexList;
  TopTools_MapOfShape mapShape;
  int aLen = aCI.GetLength();
  if ( aLen > 0 ) {
    for (int ind = 1; ind <= aLen; ind++) {
      TopoDS_Shape aShapeVertex;
      if (GEOMImpl_ILocalOperations::GetSubShape
          (aWire, aCI.GetVertex(ind), aShapeVertex))
        if (mapShape.Add(aShapeVertex))
          aVertexList.Append( aShapeVertex );
    }
  } else { // get all vertices from wire
    TopExp_Explorer anExp( aWire, TopAbs_VERTEX );
    for ( ; anExp.More(); anExp.Next() ) {
      if (mapShape.Add(anExp.Current()))
        aVertexList.Append( anExp.Current() );
    }
  }
  if (aVertexList.IsEmpty())
    Standard_ConstructionError::Raise("Invalid input no vertices to make fillet");

  //INFO: this algorithm implemented in assumption that user can select both
  //  vertices of some edges to make fillet. In this case we should remember
  //  already modified initial edges to take care in next fillet step
  TopTools_DataMapOfShapeShape anEdgeToEdgeMap;

  //iterates on vertices, and make fillet on each couple of edges
  //collect result fillet edges in list
  TopTools_ListOfShape aListOfNewEdge;
  // remember relation between initial and modified map
  TopTools_IndexedDataMapOfShapeListOfShape aMapVToEdges;
  TopExp::MapShapesAndAncestors( aWire, TopAbs_VERTEX, TopAbs_EDGE, aMapVToEdges );
  TopTools_ListIteratorOfListOfShape anIt( aVertexList );
  for ( ; anIt.More(); anIt.Next() ) {
    TopoDS_Vertex aV = TopoDS::Vertex( anIt.Value() );
    if ( aV.IsNull() || !aMapVToEdges.Contains( aV ) )
      continue;
    const TopTools_ListOfShape& aVertexEdges = aMapVToEdges.FindFromKey( aV );
    if ( aVertexEdges.Extent() != 2 )
      continue; // no input data to make fillet
    TopoDS_Edge anEdge1 = TopoDS::Edge( aVertexEdges.First() );
    TopoDS_Edge anEdge2 = TopoDS::Edge( aVertexEdges.Last() );
    // check if initial edges already modified in previous fillet operation
    if ( anEdgeToEdgeMap.IsBound( anEdge1 ) ) anEdge1 = TopoDS::Edge(anEdgeToEdgeMap.Find( anEdge1 ));
    if ( anEdgeToEdgeMap.IsBound( anEdge2 ) ) anEdge2 = TopoDS::Edge(anEdgeToEdgeMap.Find( anEdge2 ));
    if ( anEdge1.IsNull() || anEdge2.IsNull() || anEdge1.IsSame( anEdge2 ) )
      continue; //no input data to make fillet

    // create plane on 2 edges
    gp_Pln aPlane;
    if ( !takePlane(anEdge1, anEdge2, aV, aPlane) )
      continue; // seems edges does not belong to same plane or parallel (fillet can not be build)

    GEOMImpl_Fillet1d aFilletAlgo(anEdge1, anEdge2, aPlane);
    if ( !aFilletAlgo.Perform(rad) )
      continue; // can not create fillet with given radius

    // take fillet result in given vertex
    TopoDS_Edge aModifE1, aModifE2;
    TopoDS_Edge aNewE = aFilletAlgo.Result(BRep_Tool::Pnt(aV), aModifE1, aModifE2);
    if (aNewE.IsNull())
      continue; // no result found

    // add  new created edges and take modified edges
    aListOfNewEdge.Append( aNewE );

    // check if face edges modified,
    // if yes, than map to original edges (from vertex-edges list), because edges can be modified before
    if (aModifE1.IsNull() || !anEdge1.IsSame( aModifE1 ))
      addEdgeRelation( anEdgeToEdgeMap, TopoDS::Edge(aVertexEdges.First()), aModifE1 );
    if (aModifE2.IsNull() || !anEdge2.IsSame( aModifE2 ))
      addEdgeRelation( anEdgeToEdgeMap, TopoDS::Edge(aVertexEdges.Last()), aModifE2 );
  }

//.........这里部分代码省略.........

const std::list<gp_Trsf> LinearPattern::getTransformations(const std::vector<App::DocumentObject*>)
{
    double distance = Length.getValue();
    if (distance < Precision::Confusion())
        throw Base::Exception("Pattern length too small");
    int occurrences = Occurrences.getValue();
    if (occurrences < 2)
        throw Base::Exception("At least two occurrences required");
    bool reversed = Reversed.getValue();

    double offset = distance / (occurrences - 1);

    App::DocumentObject* refObject = Direction.getValue();
    if (refObject == NULL)
        throw Base::Exception("No direction reference specified");

    std::vector<std::string> subStrings = Direction.getSubValues();
    if (subStrings.empty())
        throw Base::Exception("No direction reference specified");

    gp_Dir dir;
    if (refObject->getTypeId().isDerivedFrom(Part::Part2DObject::getClassTypeId())) {
        Part::Part2DObject* refSketch = static_cast<Part::Part2DObject*>(refObject);
        Base::Axis axis;
        if (subStrings[0] == "H_Axis")
            axis = refSketch->getAxis(Part::Part2DObject::H_Axis);
        else if (subStrings[0] == "V_Axis")
            axis = refSketch->getAxis(Part::Part2DObject::V_Axis);
        else if (subStrings[0] == "N_Axis")
            axis = refSketch->getAxis(Part::Part2DObject::N_Axis);
        else if (subStrings[0].size() > 4 && subStrings[0].substr(0,4) == "Axis") {
            int AxId = std::atoi(subStrings[0].substr(4,4000).c_str());
            if (AxId >= 0 && AxId < refSketch->getAxisCount())
                axis = refSketch->getAxis(AxId);
        }
        axis *= refSketch->Placement.getValue();
        dir = gp_Dir(axis.getDirection().x, axis.getDirection().y, axis.getDirection().z);
    } else if (refObject->getTypeId().isDerivedFrom(PartDesign::Plane::getClassTypeId())) {
        PartDesign::Plane* plane = static_cast<PartDesign::Plane*>(refObject);
        Base::Vector3d d = plane->getNormal();
        dir = gp_Dir(d.x, d.y, d.z);
    } else if (refObject->getTypeId().isDerivedFrom(PartDesign::Line::getClassTypeId())) {
        PartDesign::Line* line = static_cast<PartDesign::Line*>(refObject);
        Base::Vector3d d = line->getDirection();
        dir = gp_Dir(d.x, d.y, d.z);
    } else if (refObject->getTypeId().isDerivedFrom(App::Line::getClassTypeId())) {
        App::Line* line = static_cast<App::Line*>(refObject);
        Base::Rotation rot = line->Placement.getValue().getRotation();
        Base::Vector3d d(1,0,0);
        rot.multVec(d, d);
        dir = gp_Dir(d.x, d.y, d.z);
    } else if (refObject->getTypeId().isDerivedFrom(Part::Feature::getClassTypeId())) {
        if (subStrings[0].empty())
            throw Base::Exception("No direction reference specified");
        Part::Feature* refFeature = static_cast<Part::Feature*>(refObject);
        Part::TopoShape refShape = refFeature->Shape.getShape();
        TopoDS_Shape ref = refShape.getSubShape(subStrings[0].c_str());

        if (ref.ShapeType() == TopAbs_FACE) {
            TopoDS_Face refFace = TopoDS::Face(ref);
            if (refFace.IsNull())
                throw Base::Exception("Failed to extract direction plane");
            BRepAdaptor_Surface adapt(refFace);
            if (adapt.GetType() != GeomAbs_Plane)
                throw Base::Exception("Direction face must be planar");

            dir = adapt.Plane().Axis().Direction();
        } else if (ref.ShapeType() == TopAbs_EDGE) {
            TopoDS_Edge refEdge = TopoDS::Edge(ref);
            if (refEdge.IsNull())
                throw Base::Exception("Failed to extract direction edge");
            BRepAdaptor_Curve adapt(refEdge);
            if (adapt.GetType() != GeomAbs_Line)
                throw Base::Exception("Direction edge must be a straight line");

            dir = adapt.Line().Direction();
        } else {
            throw Base::Exception("Direction reference must be edge or face");
        }
    } else {
        throw Base::Exception("Direction reference must be edge/face of a feature or a datum line/plane");
    }
    TopLoc_Location invObjLoc = this->getLocation().Inverted();
    dir.Transform(invObjLoc.Transformation());

    gp_Vec direction(dir.X(), dir.Y(), dir.Z());

    if (reversed)
        direction.Reverse();

    // Note: The original feature is NOT included in the list of transformations! Therefore
    // we start with occurrence number 1, not number 0
    std::list<gp_Trsf> transformations;
    gp_Trsf trans;
    transformations.push_back(trans); // identity transformation

    for (int i = 1; i < occurrences; i++) {
        trans.SetTranslation(direction * i * offset);
        transformations.push_back(trans);
    }
//.........这里部分代码省略.........

void Tesselate_Presentation::tesselateShape(const TopoDS_Shape& aShape)
{
//  setResultTitle("Tesselate shape");
  TCollection_AsciiString aText = (
    "/////////////////////////////////////////////////////////////////" EOL
    "// Tesselate shape." EOL
    "/////////////////////////////////////////////////////////////////" EOL EOL
    ) ;

  Standard_Real aDeflection = DATA[myIndex][0];
  Standard_Integer aNumOfFace = (Standard_Integer)DATA[myIndex][1];
  Standard_Integer aNumOfEdge = (Standard_Integer)DATA[myIndex][2];

  aText +=
    "Standard_Real aDeflection;" EOL
    "// aDeflection = ... ;" EOL EOL

    "// removes all the triangulations of the faces ," EOL
    "//and all the polygons on the triangulations of the edges:" EOL
    "BRepTools::Clean(aShape);" EOL EOL

    "// adds a triangulation of the shape aShape with the deflection aDeflection:" EOL
    "BRepMesh::Mesh(aShape,aDeflection);" EOL EOL

    "TopExp_Explorer aExpFace,aExpEdge;" EOL
    "for(aExpFace.Init(aShape,TopAbs_FACE);aExpFace.More();aExpFace.Next())" EOL
    "{  " EOL
    "  TopoDS_Face aFace = TopoDS::Face(aExpFace.Current());" EOL
    "  TopLoc_Location aLocation;" EOL EOL
    
    "  // takes the triangulation of the face aFace:" EOL
    "  Handle_Poly_Triangulation aTr = BRep_Tool::Triangulation(aFace,aLocation);" EOL EOL
    
    "  if(!aTr.IsNull()) // if this triangulation is not NULL" EOL
    "  { " EOL
    "    // takes the array of nodes for this triangulation:" EOL
    "    const TColgp_Array1OfPnt& aNodes = aTr->Nodes();" EOL
    "    // takes the array of triangles for this triangulation:" EOL
    "    const Poly_Array1OfTriangle& triangles = aTr->Triangles();" EOL EOL
    
    "    // create array of node points in absolute coordinate system" EOL
    "    TColgp_Array1OfPnt aPoints(1, aNodes.Length());" EOL
    "    for( Standard_Integer i = 1; i < aNodes.Length()+1; i++)" EOL
    "      aPoints(i) = aNodes(i).Transformed(aLocation);" EOL EOL

    "    // Takes the node points of each triangle of this triangulation." EOL
    "    // takes a number of triangles:" EOL
    "    Standard_Integer nnn = aTr->NbTriangles();" EOL
    "    Standard_Integer nt,n1,n2,n3;" EOL
    "    for( nt = 1 ; nt < nnn+1 ; nt++)" EOL
    "    {" EOL
    "      // takes the node indices of each triangle in n1,n2,n3:" EOL
    "      triangles(nt).Get(n1,n2,n3);" EOL
    "      // takes the node points:" EOL
    "      gp_Pnt aPnt1 = aPoints(n1);" EOL
    "      gp_Pnt aPnt2 = aPoints(n2);" EOL
    "      gp_Pnt aPnt3 = aPoints(n3);" EOL
    "    } " EOL EOL
    
    "    // Takes the polygon associated to an edge." EOL
    "    aExpEdge.Init(aFace,TopAbs_EDGE);" EOL
    "    TopoDS_Edge aEdge;" EOL
    "    // for example,working with the first edge:" EOL
    "    if(aExpEdge.More())" EOL
    "      aEdge = TopoDS::Edge(aExpEdge.Current());" EOL EOL
    
    "    if(!aEdge.IsNull()) // if this edge is not NULL" EOL
    "    {" EOL
    "      // takes the polygon associated to the edge aEdge:" EOL
    "      Handle_Poly_PolygonOnTriangulation aPol = " EOL
    "        BRep_Tool::PolygonOnTriangulation(aEdge,aTr,aEdge.Location());" EOL EOL
    
    "      if(!aPol.IsNull()) // if this polygon is not NULL" EOL
    "        // takes the array of nodes for this polygon" EOL
    "        // (indexes in the array of nodes for triangulation of theFace):" EOL
    "        const TColStd_Array1OfInteger& aNodesOfPol = aPol->Nodes();" EOL
    "    }" EOL
    "  }" EOL
    "}" EOL EOL
    
    "//==================================================" EOL EOL
    
      ;
   aText += "  Result with deflection = ";
   aText += TCollection_AsciiString(aDeflection);
   aText += " :" EOL;

   GetDocument()->PocessTextInDialog("Compute the triangulation on a shape", aText);
//   setResultText(aText.ToCString());  

//==========================================================================

  BRepTools::Clean(aShape);
  BRepMesh::Mesh(aShape,aDeflection);

  BRep_Builder aBuilder,aBuild1,aBuild2;
  TopoDS_Compound aCompound,aComp1,aComp2;
  aBuilder.MakeCompound(aCompound);
  aBuild1.MakeCompound(aComp1);
  aBuild2.MakeCompound(aComp2);
//.........这里部分代码省略.........