OCCT

// Created on: 1994-03-07
// Created by: Bruno DUMORTIER
// Copyright (c) 1994-1999 Matra Datavision
// Copyright (c) 1999-2014 OPEN CASCADE SAS
//
// This file is part of Open CASCADE Technology software library.
//
// This library is free software; you can redistribute it and/or modify it under
// the terms of the GNU Lesser General Public License version 2.1 as published
// by the Free Software Foundation, with special exception defined in the file
// OCCT_LGPL_EXCEPTION.txt. Consult the file LICENSE_LGPL_21.txt included in OCCT
// distribution for complete text of the license and disclaimer of any warranty.
//
// Alternatively, this file may be used under the terms of Open CASCADE
// commercial license or contractual agreement.

#include <BRep_Builder.hxx>
#include <BRep_Tool.hxx>
#include <BRepFill_Generator.hxx>
#include <BRepLib.hxx>
#include <BRepTools.hxx>
#include <BRepTools_WireExplorer.hxx>
#include <Geom2d_BezierCurve.hxx>
#include <Geom2d_Line.hxx>
#include <Geom_BezierCurve.hxx>
#include <Geom_ConicalSurface.hxx>
#include <Geom_Curve.hxx>
#include <Geom_CylindricalSurface.hxx>
#include <Geom_Plane.hxx>
#include <Geom_RectangularTrimmedSurface.hxx>
#include <Geom_Surface.hxx>
#include <Geom_TrimmedCurve.hxx>
#include <GeomAdaptor_Curve.hxx>
#include <GeomConvert.hxx>
#include <GeomFill_Generator.hxx>
#include <gp_Ax1.hxx>
#include <gp_Ax3.hxx>
#include <gp_Circ.hxx>
#include <gp_Dir2d.hxx>
#include <gp_Lin.hxx>
#include <gp_Pnt2d.hxx>
#include <gp_Vec.hxx>
#include <Precision.hxx>
#include <Standard_NullObject.hxx>
#include <TColgp_Array1OfPnt.hxx>
#include <TColgp_Array1OfPnt2d.hxx>
#include <TopExp.hxx>
#include <TopLoc_Location.hxx>
#include <TopoDS.hxx>
#include <TopoDS_Edge.hxx>
#include <TopoDS_Face.hxx>
#include <TopoDS_Iterator.hxx>
#include <TopoDS_Shape.hxx>
#include <TopoDS_Shell.hxx>
#include <TopoDS_Vertex.hxx>
#include <TopoDS_Wire.hxx>
#include <TopTools_DataMapOfShapeShape.hxx>

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

Standard_Integer DetectKPart(const TopoDS_Edge& Edge1, const TopoDS_Edge& Edge2)
{
  // initializations
  // !Note if IType set as -1 it means that occurs error with null 3d curve for the edge
  Standard_Integer IType = 0;

  // characteristics of the first edge
  Standard_Real      first1 = 0., last1 = 0., first2, last2, ff, ll;
  TopLoc_Location    loc;
  TopoDS_Vertex      V1, V2;
  Handle(Geom_Curve) curv1, curv;
  GeomAdaptor_Curve  AdC1;
  Standard_Boolean   degen1 = BRep_Tool::Degenerated(Edge1);

  // find the particular case
  gp_Pnt        pos1, pos;
  Standard_Real dist;
  Standard_Real dist1 = 0.;
  gp_Ax1        axe1, axe;

  if (degen1)
  {
    IType = -2;
    TopExp::Vertices(Edge1, V1, V2);
    pos1 = BRep_Tool::Pnt(V1);
  }
  else
  {
    curv1 = BRep_Tool::Curve(Edge1, loc, first1, last1);
    if (curv1.IsNull())
    {
      return -1;
    }
    curv1 = Handle(Geom_Curve)::DownCast(curv1->Transformed(loc.Transformation()));
    ff    = first1;
    ll    = last1;
    if (Edge1.Orientation() == TopAbs_REVERSED)
    {
      curv1->Reverse();
      first1 = curv1->ReversedParameter(ll);
      last1  = curv1->ReversedParameter(ff);
    }
    AdC1.Load(curv1);
    if (AdC1.GetType() == GeomAbs_Circle)
    {
      // first circular section
      IType = 1;
      pos1  = AdC1.Circle().Location();
      dist1 = AdC1.Circle().Radius();
      axe1  = AdC1.Circle().Axis();
    }
    else if (AdC1.GetType() == GeomAbs_Line)
    {
      // first straight line section
      IType = 4;
      pos1  = AdC1.Line().Location();
      dist1 = AdC1.Value(first1).Distance(AdC1.Value(last1));
      gp_Vec vec(AdC1.Value(first1), AdC1.Value(last1));
      gp_Dir dir(vec);
      axe1 = gp_Ax1(AdC1.Value(first1), dir);
    }
    else
    {
      // first section of any type
      IType = 0;
    }
  }

  if (IType != 0)
  {

    Standard_Boolean degen2 = BRep_Tool::Degenerated(Edge2);
    if (degen2)
    {
      TopExp::Vertices(Edge2, V1, V2);
      pos = BRep_Tool::Pnt(V1);
      if (IType == 1)
      {
        // the only particular case with degenerated edge at end : the cone
        if (pos.IsEqual(pos1, Precision::Confusion()))
        {
          // the top is mixed with the center of the circle
          IType = 0;
        }
        else
        {
          gp_Vec vec(pos1, pos);
          gp_Dir dir(vec);
          axe = gp_Ax1(pos1, dir);
          if (axe.IsParallel(axe1, Precision::Angular()))
          {
            // the top is on the axis of the circle
            IType = 2;
          }
          else
          {
            // incorrect top --> no particular case
            IType = 0;
          }
        }
      }
      else if (IType != 4)
      { // not a plane
        // no particular case
        IType = 0;
      }
    }
    else
    {
      curv = BRep_Tool::Curve(Edge2, loc, first2, last2);
      if (curv.IsNull())
      {
        return -1;
      }
      curv = Handle(Geom_Curve)::DownCast(curv->Transformed(loc.Transformation()));
      ff   = first2;
      ll   = last2;
      if (Edge2.Orientation() == TopAbs_REVERSED)
      {
        curv->Reverse();
        first2 = curv->ReversedParameter(ll);
        last2  = curv->ReversedParameter(ff);
      }
      GeomAdaptor_Curve AdC(curv);

      if (IType > 0 && IType < 4)
      {
        if (AdC.GetType() != GeomAbs_Circle)
        {
          // section not circular --> no particular case
          IType = 0;
        }
        else
        {
          if (AdC.Circle().Axis().IsCoaxial(axe1, Precision::Angular(), Precision::Confusion()))
          {
            // same axis
            if (Abs(AdC.Circle().Radius() - dist1) < Precision::Confusion())
            {
              // possibility of cylinder or a piece of cylinder
              Standard_Real    h1 = Abs(last1 - first1), h2 = Abs(last2 - first2);
              Standard_Boolean Same,
                SameParametricLength = (Abs(h1 - h2) < Precision::PConfusion());
              Standard_Real m1 = (first1 + last1) / 2., m2 = (first2 + last2) / 2.;
              gp_Pnt        P1, P2;
              gp_Vec        DU;
              AdC1.D1(m1, P1, DU);
              AdC.D0(m2, P2);
              Same = SameParametricLength && (gp_Vec(P1, P2).IsNormal(DU, Precision::Angular()));
              if (Same)
              {
                // cylinder or piece of cylinder
                IType = 1;
              }
              else
              {
                // the interval of definition is not correct
                IType = 0;
              }
            }
            else
            {
              // possibility of cone truncation
              Standard_Real    h1 = Abs(last1 - first1), h2 = Abs(last2 - first2);
              Standard_Boolean Same,
                SameParametricLength = (Abs(h1 - h2) < Precision::PConfusion());
              Standard_Real m1 = (first1 + last1) / 2., m2 = (first2 + last2) / 2.;
              gp_Pnt        P1, P2;
              gp_Vec        DU;
              AdC1.D1(m1, P1, DU);
              AdC.D0(m2, P2);
              Same = SameParametricLength && (gp_Vec(P1, P2).IsNormal(DU, Precision::Angular()));
              if (Same)
              {
                // truncation of cone
                IType = 2;
              }
              else
              {
                // the interval of definition is not correct
                IType = 0;
              }
            }
            if (AdC.Circle().Location().IsEqual(pos1, Precision::Confusion()))
            {
              // the centers are mixed
              IType = 0;
            }
          }
          else
          {
            // different axis
            if (AdC.Circle().Radius() == dist1)
            {
              // torus ?
              IType = 3;
            }
            else
            {
              // different radius --> no particular case
              IType = 0;
            }
          }
        }
      }
      else if (IType >= 4)
      {
        if (AdC.GetType() != GeomAbs_Line)
        {
          // not a straight line section --> no particular case
          IType = 0;
        }
        else
        {
          pos  = AdC.Line().Location();
          dist = AdC.Value(first2).Distance(AdC.Value(last2));
          gp_Vec vec(AdC.Value(first2), AdC.Value(last2));
          gp_Dir aDir(vec);
          axe = gp_Ax1(AdC.Value(first2), aDir);
          if (axe.IsParallel(axe1, Precision::Angular()))
          {
            // parallel straight line
            if (Abs(dist - dist1) < Precision::Confusion())
            {
              gp_Dir dir(gp_Vec(AdC1.Value(first1), AdC.Value(first2)));
              if (dir.IsNormal(gp_Dir(vec), Precision::Angular()))
              {
                // plane
                IType = 4;
              }
              else
              {
                // extrusion ?
                IType = 5;
              }
            }
            else
            {
              // different length --> no particular case
              IType = 0;
            }
          }
          else
          {
            // not parallel straight line --> no particular case
            IType = 0;
          }
        }
      }
      else if (IType == -2)
      {
        if (AdC.GetType() == GeomAbs_Line)
          IType = 4; // plane
        else if (AdC.GetType() == GeomAbs_Circle)
        {
          // the only particular case with degenerated edge at the beginning the cone
          pos = AdC.Circle().Location();
          axe = AdC.Circle().Axis();
          if (pos1.IsEqual(pos, Precision::Confusion()))
          {
            // the top is mixed with the center of the circle
            IType = 0;
          }
          else
          {
            gp_Vec vec(pos1, pos);
            gp_Dir dir(vec);
            axe1 = gp_Ax1(pos1, dir);
            if (axe.IsParallel(axe1, Precision::Angular()))
            {
              // the top is on the axis of the circle
              IType = -2;
            }
            else
            {
              // incorrect top --> no particular case
              IType = 0;
            }
          }
        }
        else
          IType = 0;
      }
    }
  }
  // torus and extrusion are not particular cases.
  if (IType == 3 || IType == 5)
    IType = 0;
  return IType;
}

//=======================================================================
// function : CreateKPart
// purpose  : Returns true if there is no errors occur
//=======================================================================

Standard_Boolean CreateKPart(const TopoDS_Edge&     Edge1,
                             const TopoDS_Edge&     Edge2,
                             const Standard_Integer IType,
                             Handle(Geom_Surface)&  Surf)
{
  // find the dimension
  TopoDS_Vertex V1, V2;

  TopLoc_Location loc;
  Standard_Real   a1, b1, aa = 0., bb = 0.;
  TopoDS_Vertex   v1f, v1l, v2f, v2l;

  Standard_Boolean isDone = Standard_True;

  // find characteristics of the first edge
  Handle(Geom_Curve) C1;
  Standard_Boolean   degen1 = BRep_Tool::Degenerated(Edge1);
  if (degen1)
  {
    // cone with degenerated edge at the top
    TopExp::Vertices(Edge1, v1f, v1l);
  }
  else
  {
    C1 = BRep_Tool::Curve(Edge1, loc, a1, b1);
    if (C1.IsNull())
    {
      return Standard_False;
    }
    C1 = Handle(Geom_Curve)::DownCast(C1->Transformed(loc.Transformation()));
    aa = a1;
    bb = b1;
    if (Edge1.Orientation() == TopAbs_REVERSED)
    {
      C1->Reverse();
      aa = C1->ReversedParameter(b1);
      bb = C1->ReversedParameter(a1);
      TopExp::Vertices(Edge1, v1l, v1f);
    }
    else
    {
      TopExp::Vertices(Edge1, v1f, v1l);
    }
  }

  // find characteristics of the second edge
  Handle(Geom_Curve) C2;
  Standard_Boolean   degen2 = BRep_Tool::Degenerated(Edge2);
  if (degen2)
  {
    // cone with degenerated edge at the top
    TopExp::Vertices(Edge2, v2f, v2l);
  }
  else
  {
    C2 = BRep_Tool::Curve(Edge2, loc, a1, b1);
    if (C2.IsNull())
    {
      return Standard_False;
    }
    C2 = Handle(Geom_Curve)::DownCast(C2->Transformed(loc.Transformation()));
    if (Edge2.Orientation() == TopAbs_REVERSED)
    {
      C2->Reverse();
      if (degen1)
      {
        aa = a1;
        bb = b1;
      }
      TopExp::Vertices(Edge2, v2l, v2f);
    }
    else
    {
      if (degen1)
      {
        aa = a1; // C2->ReversedParameter(b1);
        bb = b1; // C2->ReversedParameter(a1);
      }
      TopExp::Vertices(Edge2, v2f, v2l);
    }
  }

  // create the new surface
  TopoDS_Face face;
  TopoDS_Wire W;
  TopoDS_Edge edge1, edge2, edge3, edge4, couture;

  TopoDS_Wire  newW1, newW2;
  BRep_Builder BW1, BW2;
  BW1.MakeWire(newW1);
  BW2.MakeWire(newW2);

  GeomAdaptor_Curve aC1Adaptor;
  if (!C1.IsNull())
    aC1Adaptor.Load(C1);
  GeomAdaptor_Curve aC2Adaptor;
  if (!C2.IsNull())
    aC2Adaptor.Load(C2);

  // calculate the surface
  Handle(Geom_Surface) surface;
  Standard_Real        V, Rad;
  if (IType == 1)
  {
    // cylindrical surface
    gp_Circ c1  = aC1Adaptor.Circle();
    gp_Circ c2  = aC2Adaptor.Circle();
    gp_Ax3  Ac1 = c1.Position();
    V           = gp_Vec(c1.Location(), c2.Location()).Dot(gp_Vec(Ac1.Direction()));
    if (V < 0.)
    {
      Ac1.ZReverse();
      V = -V;
    }
    Handle(Geom_CylindricalSurface) Cyl = new Geom_CylindricalSurface(Ac1, c1.Radius());
    surface = new Geom_RectangularTrimmedSurface(Cyl, aa, bb, Min(0., V), Max(0., V));
  }
  else if (IType == 2)
  {
    // conical surface
    gp_Circ k1  = aC1Adaptor.Circle();
    gp_Ax3  Ak1 = k1.Position();
    if (degen2)
    {
      V   = gp_Vec(k1.Location(), BRep_Tool::Pnt(v2f)).Dot(gp_Vec(Ak1.Direction()));
      Rad = -k1.Radius();
    }
    else
    {
      gp_Circ k2 = aC2Adaptor.Circle();
      V          = gp_Vec(k1.Location(), k2.Location()).Dot(gp_Vec(Ak1.Direction()));
      Rad        = k2.Radius() - k1.Radius();
    }

    if (V < 0.)
    {
      Ak1.ZReverse();
      V = -V;
    }
    Standard_Real               Ang  = ATan(Rad / V);
    Handle(Geom_ConicalSurface) Cone = new Geom_ConicalSurface(Ak1, Ang, k1.Radius());
    V /= Cos(Ang);
    surface = new Geom_RectangularTrimmedSurface(Cone, aa, bb, Min(0., V), Max(0., V));
  }
  else if (IType == -2)
  {
    // conical surface with the top at the beginning (degen1 is true)
    gp_Circ k2  = aC2Adaptor.Circle();
    gp_Ax3  Ak2 = k2.Position();
    Ak2.SetLocation(BRep_Tool::Pnt(v1f));
    V   = gp_Vec(BRep_Tool::Pnt(v1f), k2.Location()).Dot(gp_Vec(Ak2.Direction()));
    Rad = k2.Radius(); // - k2.Radius();
    if (V < 0.)
    {
      Ak2.ZReverse();
      V = -V;
    }
    Standard_Real               Ang  = ATan(Rad / V);
    Handle(Geom_ConicalSurface) Cone = new Geom_ConicalSurface(Ak2, Ang, 0.);
    V /= Cos(Ang);
    surface = new Geom_RectangularTrimmedSurface(Cone, aa, bb, Min(0., V), Max(0., V));
  }
  else if (IType == 3)
  {
    // torus surface ?
  }
  else if (IType == 4)
  {
    // surface plane
    gp_Lin L1, L2, aLine;
    if (!degen1)
    {
      L1    = aC1Adaptor.Line();
      aLine = L1;
    }
    if (!degen2)
    {
      L2    = aC2Adaptor.Line();
      aLine = L2;
    }

    gp_Pnt P1 = (degen1) ? BRep_Tool::Pnt(v1f) : L1.Location();
    gp_Pnt P2 = (degen2) ? BRep_Tool::Pnt(v2f) : L2.Location();

    gp_Vec             P1P2(P1, P2);
    gp_Dir             D1 = aLine.Direction();
    gp_Ax3             Ax(aLine.Location(), gp_Dir(D1.Crossed(P1P2)), D1);
    Handle(Geom_Plane) Plan = new Geom_Plane(Ax);
    V                       = P1P2.Dot(Ax.YDirection());
    surface                 = Plan;
    // surface = new Geom_RectangularTrimmedSurface
    //( Plan, aa, bb, Min(0.,V), Max(0.,V) );
  }
  else if (IType == 5)
  {
    // surface of extrusion ?
  }
  else
  {
    // IType incorrect
  }
  Surf = surface;
  return isDone;
}

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

static TopoDS_Edge CreateNewEdge(const TopoDS_Edge&            theEdge,
                                 TopTools_DataMapOfShapeShape& theCopiedEdges,
                                 const TopoDS_Wire&            theWire,
                                 TopTools_IndexedMapOfShape&   theModifWires)
{
  BRep_Builder aBuilder;
  TopoDS_Edge  aNewEdge;
  aNewEdge = TopoDS::Edge(theEdge.EmptyCopied());
  TopoDS_Iterator anIterator(theEdge);
  for (; anIterator.More(); anIterator.Next())
  {
    aBuilder.Add(aNewEdge, anIterator.Value());
  }
  theCopiedEdges.Bind(theEdge, aNewEdge);

  if (!theModifWires.Contains(theWire))
  {
    theModifWires.Add(theWire);
  }
  return aNewEdge;
}

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

BRepFill_Generator::BRepFill_Generator()
    : myMutableInput(Standard_True),
      myStatus(BRepFill_ThruSectionErrorStatus_NotDone)
{
}

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

void BRepFill_Generator::AddWire(const TopoDS_Wire& Wire)
{
  myWires.Append(Wire);
}

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

void BRepFill_Generator::Perform()
{
  myStatus = BRepFill_ThruSectionErrorStatus_Done;

  TopoDS_Shell Shell;
  TopoDS_Face  Face;
  TopoDS_Shape S1, S2;
  TopoDS_Edge  Edge1, Edge2, Edge3, Edge4, Couture;

  BRep_Builder B;
  B.MakeShell(myShell);

  Standard_Integer           Nb = myWires.Length();
  TopTools_IndexedMapOfShape aModifWires; // indexed map for debugging

  BRepTools_WireExplorer ex1, ex2;

  Standard_Boolean aFirstWire = Standard_True;
  Standard_Boolean wPoint1, wPoint2, uClosed = Standard_False, DegenFirst = Standard_False,
                                     DegenLast = Standard_False;

  for (Standard_Integer i = 1; i <= Nb - 1; i++)
  {

    TopoDS_Wire Wire1 = TopoDS::Wire(myWires(i));
    TopoDS_Wire Wire2 = TopoDS::Wire(myWires(i + 1));

    wPoint1 = Standard_False;
    if (i == 1)
    {
      wPoint1 = Standard_True;
      for (ex1.Init(Wire1); ex1.More(); ex1.Next())
      {
        wPoint1 = wPoint1 && (BRep_Tool::Degenerated(ex1.Current()));
      }
      DegenFirst = wPoint1;

      TopoDS_Vertex V1, V2;
      TopExp::Vertices(Wire1, V1, V2);
      uClosed = V1.IsSame(V2);
    }

    wPoint2 = Standard_False;
    if (i == Nb - 1)
    {
      wPoint2 = Standard_True;
      for (ex2.Init(Wire2); ex2.More(); ex2.Next())
      {
        wPoint2 = wPoint2 && (BRep_Tool::Degenerated(ex2.Current()));
      }
      DegenLast = wPoint2;
    }

    ex1.Init(Wire1);
    ex2.Init(Wire2);

    TopTools_DataMapOfShapeShape Map;

    Standard_Boolean tantque = ex1.More() && ex2.More();

    while (tantque)
    {
      TopoDS_Vertex      V1f, V1l, V2f, V2l, Vf_toMap, Vl_toMap;
      const TopoDS_Edge& anOrEdge1 = TopoDS::Edge(ex1.Current());
      const TopoDS_Edge& anOrEdge2 = TopoDS::Edge(ex2.Current());

      Standard_Boolean degen1 = BRep_Tool::Degenerated(anOrEdge1);
      Standard_Boolean degen2 = BRep_Tool::Degenerated(anOrEdge2);

      if (degen1)
      {
        TopoDS_Shape aLocalShape = anOrEdge1.EmptyCopied();
        Edge1                    = TopoDS::Edge(aLocalShape);
        //	Edge1 = TopoDS::Edge(ex1.Current().EmptyCopied());
        //	aLocalShape = ex1.Current();
        //	TopExp::Vertices(TopoDS::Edge(aLocalShape),V1f,V1l);
        TopExp::Vertices(anOrEdge1, V1f, V1l);
        V1f.Orientation(TopAbs_FORWARD);
        B.Add(Edge1, V1f);
        V1l.Orientation(TopAbs_REVERSED);
        B.Add(Edge1, V1l);
        B.Range(Edge1, 0, 1);
        myOldNewShapes.Bind(anOrEdge1, Edge1);
      }
      else
      {
        Edge1 = anOrEdge1;
      }

      if (degen2)
      {
        TopoDS_Shape aLocalShape = anOrEdge2.EmptyCopied();
        Edge2                    = TopoDS::Edge(aLocalShape);
        //	Edge2 = TopoDS::Edge(ex2.Current().EmptyCopied());
        TopExp::Vertices(anOrEdge2, V2f, V2l);
        V2f.Orientation(TopAbs_FORWARD);
        B.Add(Edge2, V2f);
        V2l.Orientation(TopAbs_REVERSED);
        B.Add(Edge2, V2l);
        B.Range(Edge2, 0, 1);
        myOldNewShapes.Bind(anOrEdge2, Edge2);
      }
      else
      {
        Edge2 = anOrEdge2;
      }

      Standard_Boolean Periodic =
        (BRep_Tool::IsClosed(Edge1) || degen1) && (BRep_Tool::IsClosed(Edge2) || degen2);
      // ATTENTION : a non-punctual wire should not
      //             contain a punctual edge
      if (!wPoint1)
        ex1.Next();
      if (!wPoint2)
        ex2.Next();

      // initialization of vertices
      Handle(Geom_Surface) Surf;
      Standard_Real        f1 = 0, l1 = 1, f2 = 0, l2 = 1;
      if (Edge1.Orientation() == TopAbs_REVERSED)
        TopExp::Vertices(Edge1, V1l, V1f);
      else
        TopExp::Vertices(Edge1, V1f, V1l);
      if (Edge2.Orientation() == TopAbs_REVERSED)
        TopExp::Vertices(Edge2, V2l, V2f);
      else
        TopExp::Vertices(Edge2, V2f, V2l);
      if (degen1)
      {
        Vf_toMap = V2f;
        Vl_toMap = V2l;
      }
      else
      {
        Vf_toMap = V1f;
        Vl_toMap = V1l;
      }

      // processing of KPart
      Standard_Integer IType = DetectKPart(Edge1, Edge2);
      if (IType == -1)
      {
        myStatus = BRepFill_ThruSectionErrorStatus_Null3DCurve;
        return;
      }

      if (IType == 0)
      {
        // no part cases
        TopLoc_Location L, L1, L2;

        Handle(Geom_Curve) C1, C2;
        TColgp_Array1OfPnt Extremities(1, 2);

        if (degen1)
        {
          Extremities(1) = BRep_Tool::Pnt(V1f);
          Extremities(2) = BRep_Tool::Pnt(V1l);
          C1             = new Geom_BezierCurve(Extremities);
        }
        else
        {
          C1 = BRep_Tool::Curve(Edge1, L1, f1, l1);
          if (C1.IsNull())
          {
            myStatus = BRepFill_ThruSectionErrorStatus_Null3DCurve;
            return;
          }
        }
        if (degen2)
        {
          Extremities(1) = BRep_Tool::Pnt(V2l);
          Extremities(2) = BRep_Tool::Pnt(V2f);
          C2             = new Geom_BezierCurve(Extremities);
        }
        else
        {
          C2 = BRep_Tool::Curve(Edge2, L2, f2, l2);
          if (C2.IsNull())
          {
            myStatus = BRepFill_ThruSectionErrorStatus_Null3DCurve;
            return;
          }
        }

        // compute the location
        Standard_Boolean SameLoc = Standard_False;

        // transform and trim the curves

        if (Abs(f1 - C1->FirstParameter()) > Precision::PConfusion()
            || Abs(l1 - C1->LastParameter()) > Precision::PConfusion())
        {
          C1 = new Geom_TrimmedCurve(C1, f1, l1);
        }
        else
        {
          C1 = Handle(Geom_Curve)::DownCast(C1->Copy());
        }
        if (!SameLoc)
          C1->Transform(L1.Transformation());
        if (Edge1.Orientation() == TopAbs_REVERSED)
        {
          C1->Reverse();
        }

        if (Abs(f2 - C2->FirstParameter()) > Precision::PConfusion()
            || Abs(l2 - C2->LastParameter()) > Precision::PConfusion())
        {
          C2 = new Geom_TrimmedCurve(C2, f2, l2);
        }
        else
        {
          C2 = Handle(Geom_Curve)::DownCast(C2->Copy());
        }
        if (!SameLoc)
          C2->Transform(L2.Transformation());
        if (Edge2.Orientation() == TopAbs_REVERSED)
        {
          C2->Reverse();
        }

        GeomFill_Generator Generator;
        Generator.AddCurve(C1);
        Generator.AddCurve(C2);
        Generator.Perform(Precision::PConfusion());

        Surf = Generator.Surface();
        B.MakeFace(Face, Surf, Precision::Confusion());
      }
      else
      {
        // particular case
        if (!CreateKPart(Edge1, Edge2, IType, Surf))
        {
          myStatus = BRepFill_ThruSectionErrorStatus_Null3DCurve;
          return;
        }
        B.MakeFace(Face, Surf, Precision::Confusion());
      }

      // make the missing edges
      Standard_Real first, last;
      Surf->Bounds(f1, l1, f2, l2);
      if (IType == 0)
      {
        first = f2;
        last  = l2;
      }
      else
      {
        first = 0.;
        last  = 1.;
      }

      if (Map.IsBound(Vf_toMap))
      {
        TopoDS_Shape aLocalShape = Map(Vf_toMap).Reversed();
        Edge3                    = TopoDS::Edge(aLocalShape);
        //	Edge3 = TopoDS::Edge(Map(V1f).Reversed());
      }
      else
      {
        if (V1f.IsSame(V2f))
        {
          B.MakeEdge(Edge3);
          B.Degenerated(Edge3, Standard_True);
        }
        else
        {
          Handle(Geom_Curve) CC;
          TColgp_Array1OfPnt Extremities(1, 2);
          if (IType == 0)
          {
            // general case : Edge3 corresponds to iso U=f1
            CC = Surf->UIso(f1);
          }
          else
          {
            // particular case : it is required to calculate the curve 3d
            Extremities(1) = BRep_Tool::Pnt(V1f);
            Extremities(2) = BRep_Tool::Pnt(V2f);
            CC             = new Geom_BezierCurve(Extremities);
          }
          B.MakeEdge(Edge3, CC, Precision::Confusion());
        }
        V1f.Orientation(TopAbs_FORWARD);
        B.Add(Edge3, V1f);
        V2f.Orientation(TopAbs_REVERSED);
        B.Add(Edge3, V2f);
        B.Range(Edge3, first, last);
        Edge3.Reverse();
        Map.Bind(Vf_toMap, Edge3);
      }

      Standard_Boolean CommonEdge = Standard_False;
      if (Map.IsBound(Vl_toMap))
      {
        TopoDS_Shape      aLocalShape = Map(Vl_toMap).Reversed();
        const TopoDS_Edge CommonE     = TopoDS::Edge(aLocalShape);
        //	const TopoDS_Edge CommonE = TopoDS::Edge(Map(V1l).Reversed());
        TopoDS_Vertex V1, V2;
        TopExp::Vertices(CommonE, V1, V2);
        CommonEdge = V1.IsSame(V1l) && V2.IsSame(V2l);
      }
      if (CommonEdge)
      {
        TopoDS_Shape aLocalShape = Map(Vl_toMap).Reversed();
        Edge4                    = TopoDS::Edge(aLocalShape);
        //	Edge4 = TopoDS::Edge(Map(V1l).Reversed());
      }
      else
      {
        if (V1l.IsSame(V2l))
        {
          B.MakeEdge(Edge4);
          B.Degenerated(Edge4, Standard_True);
        }
        else
        {
          Handle(Geom_Curve) CC;
          TColgp_Array1OfPnt Extremities(1, 2);
          if (IType == 0)
          {
            // general case : Edge4 corresponds to iso U=l1
            CC = Surf->UIso(l1);
          }
          else
          {
            // particular case : it is required to calculate the curve 3d
            Extremities(1) = BRep_Tool::Pnt(V1l);
            Extremities(2) = BRep_Tool::Pnt(V2l);
            CC             = new Geom_BezierCurve(Extremities);
          }
          B.MakeEdge(Edge4, CC, Precision::Confusion());
        }
        V1l.Orientation(TopAbs_FORWARD);
        B.Add(Edge4, V1l);
        V2l.Orientation(TopAbs_REVERSED);
        B.Add(Edge4, V2l);
        B.Range(Edge4, first, last);
        Map.Bind(Vl_toMap, Edge4);
      }

      if (!myMutableInput)
      {
        if (!degen1) // if true=>already empty-copied
        {
          const TopoDS_Shape* aNewEd1 = myOldNewShapes.Seek(Edge1);
          if (aNewEd1)
          {
            Edge1 = TopoDS::Edge(*aNewEd1);
          }
          else if (aFirstWire
                   && (IType != 4 || BRep_Tool::SameParameter(Edge1)
                       || BRep_Tool::SameRange(Edge1)))
          {
            // if such expression is true and mutableInput is false => pre-copy the edge to prevent
            // a following modifying (see code below)
            Edge1 = CreateNewEdge(Edge1, myOldNewShapes, Wire1, aModifWires);
          }
        }
        if (!degen2)
        {
          const TopoDS_Shape* aNewEd2 = myOldNewShapes.Seek(Edge2);
          if (aNewEd2)
          {
            Edge2 = TopoDS::Edge(*aNewEd2);
          }
          else if (IType != 4 || BRep_Tool::SameParameter(Edge2) || BRep_Tool::SameRange(Edge2))
          {
            Edge2 = CreateNewEdge(Edge2, myOldNewShapes, Wire2, aModifWires);
          }
        }
      }

      // set the pcurves
      constexpr Standard_Real T = Precision::Confusion();

      if (IType != 4) // not plane
      {
        if (Edge1.Orientation() == TopAbs_REVERSED)
        {
          B.UpdateEdge(Edge1, new Geom2d_Line(gp_Pnt2d(0, f2), gp_Dir2d(-1, 0)), Face, T);
          B.Range(Edge1, Face, -l1, -f1);
        }
        else
        {
          B.UpdateEdge(Edge1, new Geom2d_Line(gp_Pnt2d(0, f2), gp_Dir2d(1, 0)), Face, T);
          B.Range(Edge1, Face, f1, l1);
        }

        if (Edge2.Orientation() == TopAbs_REVERSED)
        {
          B.UpdateEdge(Edge2, new Geom2d_Line(gp_Pnt2d(0, l2), gp_Dir2d(-1, 0)), Face, T);
          B.Range(Edge2, Face, -l1, -f1);
        }
        else
        {
          B.UpdateEdge(Edge2, new Geom2d_Line(gp_Pnt2d(0, l2), gp_Dir2d(1, 0)), Face, T);
          B.Range(Edge2, Face, f1, l1);
        }
      }

      if (IType == 0)
      {
        if (Periodic)
        {
          B.UpdateEdge(Edge3,
                       new Geom2d_Line(gp_Pnt2d(l1, 0), gp_Dir2d(0, 1)),
                       new Geom2d_Line(gp_Pnt2d(f1, 0), gp_Dir2d(0, 1)),
                       Face,
                       T);
        }
        else
        {
          B.UpdateEdge(Edge3, new Geom2d_Line(gp_Pnt2d(f1, 0), gp_Dir2d(0, 1)), Face, T);
          B.UpdateEdge(Edge4, new Geom2d_Line(gp_Pnt2d(l1, 0), gp_Dir2d(0, 1)), Face, T);
        }
      }
      else
      {
        // KPart
        if (Periodic)
        {
          TColgp_Array1OfPnt2d Extrem1(1, 2);
          Extrem1(1).SetCoord(l1, f2);
          Extrem1(2).SetCoord(l1, l2);
          TColgp_Array1OfPnt2d Extrem2(1, 2);
          Extrem2(1).SetCoord(f1, f2);
          Extrem2(2).SetCoord(f1, l2);
          B.UpdateEdge(Edge3,
                       new Geom2d_BezierCurve(Extrem1),
                       new Geom2d_BezierCurve(Extrem2),
                       Face,
                       T);
        }
        else if (IType != 4)
        { // not plane
          TColgp_Array1OfPnt2d Extrem2(1, 2);
          Extrem2(1).SetCoord(f1, f2);
          Extrem2(2).SetCoord(f1, l2);
          B.UpdateEdge(Edge3, new Geom2d_BezierCurve(Extrem2), Face, T);
          TColgp_Array1OfPnt2d Extrem1(1, 2);
          Extrem1(1).SetCoord(l1, f2);
          Extrem1(2).SetCoord(l1, l2);
          B.UpdateEdge(Edge4, new Geom2d_BezierCurve(Extrem1), Face, T);
        }
      }
      // Set the non parameter flag;
      B.SameParameter(Edge1, Standard_False);
      B.SameParameter(Edge2, Standard_False);
      B.SameParameter(Edge3, Standard_False);
      B.SameParameter(Edge4, Standard_False);
      B.SameRange(Edge1, Standard_False);
      B.SameRange(Edge2, Standard_False);
      B.SameRange(Edge3, Standard_False);
      B.SameRange(Edge4, Standard_False);

      // make the wire
      TopoDS_Wire aWire;
      B.MakeWire(aWire);

      if (!(degen1 && IType == 4))
      {
        B.Add(aWire, Edge1);
      }
      B.Add(aWire, Edge4);
      if (!(degen2 && IType == 4))
      {
        B.Add(aWire, Edge2.Reversed());
      }
      B.Add(aWire, Edge3);

      B.Add(Face, aWire);
      B.Add(myShell, Face);

      // complete myMap for edge1
      if (!(degen1 && IType == 4))
      {
        TopoDS_Edge aREd = anOrEdge1;
        if (degen1)
        {
          aREd = Edge1;
        }

        if (!myMap.IsBound(aREd))
        {
          TopTools_ListOfShape Empty;
          myMap.Bind(aREd, Empty);
        }
        myMap(aREd).Append(Face);
      }

      tantque = ex1.More() && ex2.More();
      if (wPoint1)
        tantque = ex2.More();
      if (wPoint2)
        tantque = ex1.More();
    }
    aFirstWire = Standard_False;
  }

  // all vertices from myShell are the part of orig. section wires
  if (myMutableInput)
  {
    BRepLib::SameParameter(myShell);
  }
  else
  {
    TopTools_DataMapIteratorOfDataMapOfShapeShape aMapIt(myOldNewShapes);
    for (; aMapIt.More(); aMapIt.Next())
    {
      const TopoDS_Shape& aK   = aMapIt.Key();
      const TopoDS_Shape& aVal = aMapIt.Value();
      myReshaper.Replace(aK, aVal);
    }
    BRepLib::SameParameter(myShell, myReshaper);
    myShell = TopoDS::Shell(myReshaper.Apply(myShell));
  }

  if (uClosed && DegenFirst && DegenLast)
  {
    myShell.Closed(Standard_True);
  }

  // update wire's history
  TopoDS_Iterator anItEdge;
  for (int i = 1; i <= aModifWires.Extent(); i++)
  {
    const TopoDS_Shape& aCurWire = aModifWires(i);
    TopoDS_Wire         aNewWire;
    B.MakeWire(aNewWire);

    anItEdge.Initialize(aCurWire);
    for (; anItEdge.More(); anItEdge.Next())
    {
      const TopoDS_Shape& aCurEdge = anItEdge.Value(); // edges only
      const TopoDS_Shape& aNewEdge = ResultShape(aCurEdge);
      B.Add(aNewWire, aNewEdge);
    }

    aNewWire.Free(aCurWire.Free());
    aNewWire.Modified(aCurWire.Modified());
    aNewWire.Checked(aCurWire.Checked());
    aNewWire.Orientable(aCurWire.Orientable());
    aNewWire.Closed(aCurWire.Closed());
    aNewWire.Infinite(aCurWire.Infinite());
    aNewWire.Convex(aCurWire.Convex());

    myOldNewShapes.Bind(aCurWire, aNewWire);
  }
}

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

const TopTools_ListOfShape& BRepFill_Generator::GeneratedShapes(const TopoDS_Shape& SSection) const
{
  if (myMap.IsBound(SSection))
  {
    return myMap(SSection);
  }
  else
  {
    static TopTools_ListOfShape Empty;
    return Empty;
  }
}

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

const TopTools_DataMapOfShapeListOfShape& BRepFill_Generator::Generated() const
{
  return myMap;
}

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

TopoDS_Shape BRepFill_Generator::ResultShape(const TopoDS_Shape& theShape) const
{
  const TopoDS_Shape* aShape    = myOldNewShapes.Seek(theShape);
  TopoDS_Shape        aNewShape = aShape ? *aShape : theShape;
  TopoDS_Shape        aPrevShape;
  do
  {
    aPrevShape = aNewShape;
    aNewShape  = myReshaper.Value(aNewShape);
  } while (aNewShape != aPrevShape);
  return aNewShape;
}

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

void BRepFill_Generator::SetMutableInput(const Standard_Boolean theIsMutableInput)
{
  myMutableInput = theIsMutableInput;
}

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

Standard_Boolean BRepFill_Generator::IsMutableInput() const
{
  return myMutableInput;
}