OCCT

// 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.

// #4  szv          S4163: optimizing
//     pdn 20.04.99 S4181  Moving algorithm for transforming pcurves from IGES processor
//     abv 05.05.99 S4137: adding methods for copying ranges, reassigning pcurves etc.

#include <BRep_Builder.hxx>
#include <BRep_Curve3D.hxx>
#include <BRep_CurveOnSurface.hxx>
#include <BRep_GCurve.hxx>
#include <BRep_TEdge.hxx>
#include <BRep_Tool.hxx>
#include <BRepBuilderAPI_MakeEdge.hxx>
#include <BRepLib.hxx>
#include <ElCLib.hxx>
#include <Geom2d_BezierCurve.hxx>
#include <Geom2d_Conic.hxx>
#include <Geom2d_Curve.hxx>
#include <Geom2d_Line.hxx>
#include <Geom2d_OffsetCurve.hxx>
#include <Geom2d_TrimmedCurve.hxx>
#include <Geom2dConvert.hxx>
#include <Geom2dConvert_ApproxCurve.hxx>
#include <Geom_Curve.hxx>
#include <Geom_OffsetCurve.hxx>
#include <Geom_Surface.hxx>
#include <Geom_TrimmedCurve.hxx>
#include <gp_GTrsf2d.hxx>
#include <gp_Lin2d.hxx>
#include <gp_Pnt.hxx>
#include <gp_Trsf2d.hxx>
#include <Precision.hxx>
#include <ShapeBuild_Edge.hxx>
#include <Standard_ErrorHandler.hxx>
#include <Standard_Failure.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_Vertex.hxx>
#include <TopoDS_Shape.hxx>
#include <NCollection_Sequence.hxx>

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

TopoDS_Edge ShapeBuild_Edge::CopyReplaceVertices(const TopoDS_Edge&   edge,
                                                 const TopoDS_Vertex& V1,
                                                 const TopoDS_Vertex& V2) const
{
  NCollection_Sequence<TopoDS_Shape> aNMVertices;
  TopoDS_Vertex                      newV1 = V1, newV2 = V2;
  if (newV1.IsNull() || newV2.IsNull())
  {
    TopoDS_Iterator it;
    if (edge.Orientation() == TopAbs_FORWARD || edge.Orientation() == TopAbs_REVERSED)
    {
      it.Initialize(edge, true, true);
    }
    else
    {
      it.Initialize(edge, false, true);
    }
    for (; it.More(); it.Next())
    {
      TopoDS_Vertex V = TopoDS::Vertex(it.Value());
      if (V.Orientation() == TopAbs_FORWARD)
      {
        if (newV1.IsNull())
        {
          newV1 = V;
        }
      }
      else if (V.Orientation() == TopAbs_REVERSED)
      {
        if (newV2.IsNull())
        {
          newV2 = V;
        }
      }
      else if (V1.IsNull() && V2.IsNull())
      {
        aNMVertices.Append(V);
      }
    }
  }
  newV1.Orientation(TopAbs_FORWARD);
  newV2.Orientation(TopAbs_REVERSED);

  // szv#4:S4163:12Mar99 SGI warns
  TopoDS_Shape sh = edge.EmptyCopied();
  TopoDS_Edge  E  = TopoDS::Edge(sh);

  BRep_Builder B;
  if (!newV1.IsNull())
  {
    B.Add(E, newV1);
  }
  if (!newV2.IsNull())
  {
    B.Add(E, newV2);
  }

  // addition of the internal or external vertices to edge
  int i = 1;
  for (; i <= aNMVertices.Length(); i++)
  {
    B.Add(E, TopoDS::Vertex(aNMVertices.Value(i)));
  }

  // S4054, rln 17.11.98 annie_surf.igs entity D77, 3D and pcurve have different
  // ranges, after B.Range all the ranges become as 3D
  CopyRanges(E, edge);
  /*
  for (NCollection_List<occ::handle<BRep_CurveRepresentation>>::Iterator itcr
  ((*((occ::handle<BRep_TEdge>*)&edge.TShape()))->ChangeCurves()); itcr.More(); itcr.Next()) {
  occ::handle<BRep_GCurve> GC = occ::down_cast<BRep_GCurve>(itcr.Value());
  if ( GC.IsNull() ) continue;
  double first, last;
  GC->Range ( first, last );
  if ( GC->IsCurve3D() )
  B.Range ( E, first, last );
  else if ( GC->IsCurveOnSurface() )
// clang-format off
  B.Range (E, GC->Surface(), edge.Location().Multiplied (GC->Location()), first, last);//BUC50003
entity 132 edge 1
// clang-format on
  }
  */
  return E;
}

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

// Added, cause invoke ShapeAnalysis leads to cyclic dependency.
static double AdjustByPeriod(const double Val, const double ToVal, const double Period)
{
  double diff = Val - ToVal;
  double D    = std::abs(diff);
  double P    = std::abs(Period);
  if (D <= 0.5 * P)
  {
    return 0.;
  }
  if (P < 1e-100)
  {
    return diff;
  }
  return (diff > 0 ? -P : P) * (int)(D / P + 0.5);
}

static bool IsPeriodic(const occ::handle<Geom_Curve>& theCurve)
{
  // 15.11.2002 PTV OCC966
  // remove regressions in DE tests (diva, divb, divc, toe3) in KAS:dev
  // ask IsPeriodic on BasisCurve
  occ::handle<Geom_Curve> aTmpCurve = theCurve;
  while ((aTmpCurve->IsKind(STANDARD_TYPE(Geom_OffsetCurve)))
         || (aTmpCurve->IsKind(STANDARD_TYPE(Geom_TrimmedCurve))))
  {
    if (aTmpCurve->IsKind(STANDARD_TYPE(Geom_OffsetCurve)))
    {
      aTmpCurve = occ::down_cast<Geom_OffsetCurve>(aTmpCurve)->BasisCurve();
    }
    if (aTmpCurve->IsKind(STANDARD_TYPE(Geom_TrimmedCurve)))
    {
      aTmpCurve = occ::down_cast<Geom_TrimmedCurve>(aTmpCurve)->BasisCurve();
    }
  }
  return aTmpCurve->IsPeriodic();
}

bool IsPeriodic(const occ::handle<Geom2d_Curve>& theCurve)
{
  // 15.11.2002 PTV OCC966
  // remove regressions in DE tests (diva, divb, divc, toe3) in KAS:dev
  // ask IsPeriodic on BasisCurve
  occ::handle<Geom2d_Curve> aTmpCurve = theCurve;
  while ((aTmpCurve->IsKind(STANDARD_TYPE(Geom2d_OffsetCurve)))
         || (aTmpCurve->IsKind(STANDARD_TYPE(Geom2d_TrimmedCurve))))
  {
    if (aTmpCurve->IsKind(STANDARD_TYPE(Geom2d_OffsetCurve)))
    {
      aTmpCurve = occ::down_cast<Geom2d_OffsetCurve>(aTmpCurve)->BasisCurve();
    }
    if (aTmpCurve->IsKind(STANDARD_TYPE(Geom2d_TrimmedCurve)))
    {
      aTmpCurve = occ::down_cast<Geom2d_TrimmedCurve>(aTmpCurve)->BasisCurve();
    }
  }
  return aTmpCurve->IsPeriodic();
}

void ShapeBuild_Edge::CopyRanges(const TopoDS_Edge& toedge,
                                 const TopoDS_Edge& fromedge,
                                 const double       alpha,
                                 const double       beta) const
{
  /*  BRep_Builder B;
  for (NCollection_List<occ::handle<BRep_CurveRepresentation>>::Iterator itcr
  ((*((occ::handle<BRep_TEdge>*)&fromedge.TShape()))->ChangeCurves()); itcr.More(); itcr.Next()) {
  occ::handle<BRep_GCurve> GC = occ::down_cast<BRep_GCurve>(itcr.Value());
  if ( GC.IsNull() ) continue;
  double first, last;
  GC->Range ( first, last );
  if ( GC->IsCurve3D() )
  B.Range ( toedge, first, last );
  else if ( GC->IsCurveOnSurface() )
  B.Range ( toedge, GC->Surface(), fromedge.Location().Multiplied (GC->Location()), first, last);
  }
  */
  for (NCollection_List<occ::handle<BRep_CurveRepresentation>>::Iterator fromitcr(
         (*((occ::handle<BRep_TEdge>*)&fromedge.TShape()))->ChangeCurves());
       fromitcr.More();
       fromitcr.Next())
  {
    occ::handle<BRep_GCurve> fromGC = occ::down_cast<BRep_GCurve>(fromitcr.Value());
    if (fromGC.IsNull())
    {
      continue;
    }
    bool isC3d = fromGC->IsCurve3D();
    if (isC3d)
    {
      if (fromGC->Curve3D().IsNull())
      {
        continue;
      }
    }
    else
    {
      if (fromGC->PCurve().IsNull())
      {
        continue;
      }
    }

    // clang-format off
      if ( ! isC3d && ! fromGC->IsCurveOnSurface()) { continue; // only 3d curves and pcurves are treated
}
    // clang-format on

    occ::handle<Geom_Surface> surface;
    TopLoc_Location           L;
    if (!isC3d)
    {
      surface = fromGC->Surface();
      L       = fromGC->Location();
    }

    NCollection_List<occ::handle<BRep_CurveRepresentation>>& tolist =
      (*((occ::handle<BRep_TEdge>*)&toedge.TShape()))->ChangeCurves();
    occ::handle<BRep_GCurve> toGC;
    for (NCollection_List<occ::handle<BRep_CurveRepresentation>>::Iterator toitcr(tolist);
         toitcr.More();
         toitcr.Next())
    {
      toGC = occ::down_cast<BRep_GCurve>(toitcr.Value());
      if (toGC.IsNull())
      {
        continue;
      }
      if (isC3d)
      {
        if (!toGC->IsCurve3D())
        {
          continue;
        }
      }
      else if (!toGC->IsCurveOnSurface() || surface != toGC->Surface() || L != toGC->Location())
      {
        continue;
      }
      double first = fromGC->First();
      double last  = fromGC->Last();
      double len   = last - first;
      double newF  = first + alpha * len;
      double newL  = first + beta * len;

      // PTV: 22.03.2002 fix for edge range.
      // file test-m020306-v2.step Shell #665 (Faces #40110. #40239).
      double aPeriod = 1., aCrvF = 0., aCrvL = 1.;
      bool   doCheck = false;
      if (toGC->IsKind(STANDARD_TYPE(BRep_Curve3D)))
      {
        occ::handle<Geom_Curve> aCrv3d = occ::down_cast<BRep_Curve3D>(toGC)->Curve3D();
        // 15.11.2002 PTV OCC966
        if (!aCrv3d.IsNull() && IsPeriodic(aCrv3d))
        {
          aPeriod = aCrv3d->Period();
          aCrvF   = aCrv3d->FirstParameter();
          aCrvL   = aCrv3d->LastParameter();
          doCheck = true;
        }
      }
      else if (toGC->IsKind(STANDARD_TYPE(BRep_CurveOnSurface)))
      {
        occ::handle<Geom2d_Curve> aCrv2d = occ::down_cast<BRep_CurveOnSurface>(toGC)->PCurve();
        // 15.11.2002 PTV OCC966
        if (!aCrv2d.IsNull() && IsPeriodic(aCrv2d))
        {
          aPeriod = aCrv2d->Period();
          aCrvF   = aCrv2d->FirstParameter();
          aCrvL   = aCrv2d->LastParameter();
          doCheck = true;
        }
      }
      if (doCheck
          && ((fabs(newF - aCrvF) > Precision::PConfusion() && newF < aCrvF) || newF >= aCrvL))
      {
        double aShift = AdjustByPeriod(newF, 0.5 * (aCrvF + aCrvL), aPeriod);
        newF += aShift;
        newL += aShift;
        BRep_Builder().SameRange(toedge, false);
        BRep_Builder().SameParameter(toedge, false);
      }

      toGC->SetRange(newF, newL);
      break;
    }
  }
}

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

void ShapeBuild_Edge::SetRange3d(const TopoDS_Edge& edge,
                                 const double       first,
                                 const double       last) const
{

  for (NCollection_List<occ::handle<BRep_CurveRepresentation>>::Iterator itcr(
         (*((occ::handle<BRep_TEdge>*)&edge.TShape()))->ChangeCurves());
       itcr.More();
       itcr.Next())
  {
    occ::handle<BRep_GCurve> GC = occ::down_cast<BRep_GCurve>(itcr.Value());
    if (GC.IsNull() || !GC->IsCurve3D())
    {
      continue;
    }
    GC->SetRange(first, last);
    break;
  }
}

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

void ShapeBuild_Edge::CopyPCurves(const TopoDS_Edge& toedge, const TopoDS_Edge& fromedge) const
{
  const TopLoc_Location& fromLoc = fromedge.Location();
  const TopLoc_Location& toLoc   = toedge.Location();
  for (NCollection_List<occ::handle<BRep_CurveRepresentation>>::Iterator fromitcr(
         (*((occ::handle<BRep_TEdge>*)&fromedge.TShape()))->ChangeCurves());
       fromitcr.More();
       fromitcr.Next())
  {
    occ::handle<BRep_GCurve> fromGC = occ::down_cast<BRep_GCurve>(fromitcr.Value());
    if (fromGC.IsNull())
    {
      continue;
    }
    if (fromGC->IsCurveOnSurface())
    {
      occ::handle<Geom_Surface>                                surface = fromGC->Surface();
      TopLoc_Location                                          L       = fromGC->Location();
      bool                                                     found   = false;
      NCollection_List<occ::handle<BRep_CurveRepresentation>>& tolist =
        (*((occ::handle<BRep_TEdge>*)&toedge.TShape()))->ChangeCurves();
      occ::handle<BRep_GCurve> toGC;
      for (NCollection_List<occ::handle<BRep_CurveRepresentation>>::Iterator toitcr(tolist);
           toitcr.More() && !found;
           toitcr.Next())
      {
        toGC = occ::down_cast<BRep_GCurve>(toitcr.Value());
        if (toGC.IsNull() || !toGC->IsCurveOnSurface() || surface != toGC->Surface()
            || L != toGC->Location())
        {
          continue;
        }
        found = true;
        break;
      }
      if (!found)
      {
        toGC = occ::down_cast<BRep_GCurve>(fromGC->Copy());
        tolist.Append(toGC);
      }
      occ::handle<Geom2d_Curve> pcurve = fromGC->PCurve();
      toGC->PCurve(occ::down_cast<Geom2d_Curve>(pcurve->Copy()));

      // bug OCC209 invalid location of pcurve in the edge after copying
      TopLoc_Location newLoc = (fromLoc * L).Predivided(toLoc); //(L * fromLoc).Predivided(toLoc);
      toGC->Location(newLoc);
      if (fromGC->IsCurveOnClosedSurface())
      {
        pcurve = fromGC->PCurve2();
        toGC->PCurve2(occ::down_cast<Geom2d_Curve>(pcurve->Copy()));
      }
    }
  }
}

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

TopoDS_Edge ShapeBuild_Edge::Copy(const TopoDS_Edge& edge, const bool sharepcurves) const
{
  TopoDS_Vertex dummy1, dummy2;
  TopoDS_Edge   newedge = CopyReplaceVertices(edge, dummy1, dummy2);
  if (!sharepcurves)
  {
    CopyPCurves(newedge, edge);
  }
  return newedge;
}

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

void ShapeBuild_Edge::RemovePCurve(const TopoDS_Edge& edge, const TopoDS_Face& face) const
{
  BRep_Builder              B;
  occ::handle<Geom2d_Curve> c2dNull;
  //: S4136  double tol = BRep_Tool::Tolerance ( edge );
  if (BRep_Tool::IsClosed(edge, face))
  {
    B.UpdateEdge(edge, c2dNull, c2dNull, face, 0.); //: S4136: tol
  }
  else
  {
    B.UpdateEdge(edge, c2dNull, face, 0.); //: S4136: tol
  }
}

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

void ShapeBuild_Edge::RemovePCurve(const TopoDS_Edge&               edge,
                                   const occ::handle<Geom_Surface>& surf) const
{
  RemovePCurve(edge, surf, TopLoc_Location());
}

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

void ShapeBuild_Edge::RemovePCurve(const TopoDS_Edge&               edge,
                                   const occ::handle<Geom_Surface>& surf,
                                   const TopLoc_Location&           loc) const
{
  BRep_Builder              B;
  occ::handle<Geom2d_Curve> c2dNull;
  //: S4136  double tol = BRep_Tool::Tolerance ( edge );
  if (BRep_Tool::IsClosed(edge, surf, loc))
  {
    B.UpdateEdge(edge, c2dNull, c2dNull, surf, loc, 0.); //: S4136: tol
  }
  else
  {
    B.UpdateEdge(edge, c2dNull, surf, loc, 0.); //: S4136: tol
  }
}

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

void ShapeBuild_Edge::ReplacePCurve(const TopoDS_Edge&               edge,
                                    const occ::handle<Geom2d_Curve>& pcurve,
                                    const TopoDS_Face&               face) const
{
  BRep_Builder B;
  double       f, l;
  TopoDS_Shape dummy   = edge.Reversed();
  TopoDS_Edge  edgerev = TopoDS::Edge(dummy);
  // reverse face to take second pcurve for seams like SA_Edge::PCurve() does
  TopoDS_Face               F       = TopoDS::Face(face.Oriented(TopAbs_FORWARD));
  occ::handle<Geom2d_Curve> pcurve0 = BRep_Tool::CurveOnSurface(edge, F, f, l);
  occ::handle<Geom2d_Curve> c2d     = BRep_Tool::CurveOnSurface(edgerev, F, f, l);
  // Add pcurve to edge (either as single, or as seam)
  if (c2d.IsNull() || c2d == pcurve0)
  { // non-seam
    B.UpdateEdge(edge, pcurve, face, 0);
  }
  else
  { // seam
    if (edge.Orientation() == TopAbs_FORWARD)
    {
      B.UpdateEdge(edge, pcurve, c2d, face, 0);
    }
    else
    {
      B.UpdateEdge(edge, c2d, pcurve, face, 0);
    }
  }
  B.Range(edge, face, f, l);
}

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

// Count exact number of pcurves STORED in edge for face
// This makes difference for faces based on plane surfaces where pcurves can be
// not stored but returned by BRep_Tools::CurveOnSurface
static int CountPCurves(const TopoDS_Edge& edge, const TopoDS_Face& face)
{
  TopLoc_Location           L;
  occ::handle<Geom_Surface> S = BRep_Tool::Surface(face, L);
  TopLoc_Location           l = L.Predivided(edge.Location());

  for (NCollection_List<occ::handle<BRep_CurveRepresentation>>::Iterator itcr(
         (*((occ::handle<BRep_TEdge>*)&edge.TShape()))->ChangeCurves());
       itcr.More();
       itcr.Next())
  {
    occ::handle<BRep_GCurve> GC = occ::down_cast<BRep_GCurve>(itcr.Value());
    if (!GC.IsNull() && GC->IsCurveOnSurface(S, l))
    {
      return (GC->IsCurveOnClosedSurface() ? 2 : 1);
    }
  }
  return 0;
}

bool ShapeBuild_Edge::ReassignPCurve(const TopoDS_Edge& edge,
                                     const TopoDS_Face& old,
                                     const TopoDS_Face& sub) const
{
  int npcurves = CountPCurves(edge, old);
  // if ( npcurves <1 ) return false; //gka

  double                    f, l;
  occ::handle<Geom2d_Curve> pc;
  pc = BRep_Tool::CurveOnSurface(edge, old, f, l);
  if (pc.IsNull())
  {
    return false;
  }
  else if (npcurves == 0)
  {
    npcurves = 1; // gka
  }

  BRep_Builder B;

  // if the pcurve was only one, remove; else leave second one
  if (npcurves > 1)
  {
    // smh#8 Porting AIX
    TopoDS_Shape              tmpshape = edge.Reversed();
    TopoDS_Edge               erev     = TopoDS::Edge(tmpshape);
    occ::handle<Geom2d_Curve> pc2      = BRep_Tool::CurveOnSurface(erev, old, f, l);
    B.UpdateEdge(edge, pc2, old, 0.);
    B.Range(edge, old, f, l);
  }
  else
  {
    RemovePCurve(edge, old);
  }

  // if edge does not have yet pcurves on sub, just add; else add as first
  int npcs = CountPCurves(edge, sub);
  if (npcs < 1)
  {
    B.UpdateEdge(edge, pc, sub, 0.);
  }
  else
  {
    // smh#8 Porting AIX
    TopoDS_Shape              tmpshape = edge.Reversed();
    TopoDS_Edge               erev     = TopoDS::Edge(tmpshape);
    double                    cf, cl;
    occ::handle<Geom2d_Curve> pcs = BRep_Tool::CurveOnSurface(erev, sub, cf, cl);
    if (edge.Orientation() == TopAbs_REVERSED)
    { // because B.UpdateEdge does not check edge orientation
      B.UpdateEdge(edge, pcs, pc, sub, 0.);
    }
    else
    {
      B.UpdateEdge(edge, pc, pcs, sub, 0.);
    }
  }

  B.Range(edge, sub, f, l);

  return true;
}

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

occ::handle<Geom2d_Curve> ShapeBuild_Edge::TransformPCurve(const occ::handle<Geom2d_Curve>& pcurve,
                                                           const gp_Trsf2d&                 trans,
                                                           const double                     uFact,
                                                           double&                          aFirst,
                                                           double& aLast) const
{
  occ::handle<Geom2d_Curve> result = occ::down_cast<Geom2d_Curve>(pcurve->Copy());
  if (trans.Form() != gp_Identity)
  {
    result->Transform(trans);
    aFirst = result->TransformedParameter(aFirst, trans);
    aLast  = result->TransformedParameter(aLast, trans);
  }
  if (uFact == 1.)
  {
    return result;
  }

  if (result->IsKind(STANDARD_TYPE(Geom2d_TrimmedCurve)))
  {
    occ::handle<Geom2d_TrimmedCurve> thecurve = occ::down_cast<Geom2d_TrimmedCurve>(result);
    result                                    = thecurve->BasisCurve();
  }

  gp_GTrsf2d tMatu;
  tMatu.SetAffinity(gp::OY2d(), uFact);
  gp_XY pXY;

  if (result->IsKind(STANDARD_TYPE(Geom2d_Line)))
  {
    occ::handle<Geom2d_Line> aLine2d = occ::down_cast<Geom2d_Line>(result);
    gp_Pnt2d                 Pf, Pl;
    aLine2d->D0(aFirst, Pf);
    pXY = Pf.XY();
    tMatu.Transforms(pXY);
    Pf.SetXY(pXY);
    aLine2d->D0(aLast, Pl);
    pXY = Pl.XY();
    tMatu.Transforms(pXY);
    Pl.SetXY(pXY);
    gp_Lin2d line2d(Pf, gp_Dir2d(gp_Vec2d(Pf, Pl)));
    aFirst                           = ElCLib::Parameter(line2d, Pf);
    aLast                            = ElCLib::Parameter(line2d, Pl);
    occ::handle<Geom2d_Line> Gline2d = new Geom2d_Line(line2d);
    return Gline2d;
  }
  else if (result->IsKind(STANDARD_TYPE(Geom2d_BezierCurve)))
  {
    occ::handle<Geom2d_BezierCurve> bezier = occ::down_cast<Geom2d_BezierCurve>(result);
    // transform the Poles of the BSplineCurve
    int      nbPol = bezier->NbPoles();
    gp_Pnt2d Pt1;
    for (int i = 1; i <= nbPol; i++)
    {
      pXY = bezier->Pole(i).XY();
      tMatu.Transforms(pXY);
      Pt1.SetXY(pXY);
      bezier->SetPole(i, Pt1);
    }
    return bezier;
  }
  else
  {
    occ::handle<Geom2d_BSplineCurve> aBSpline2d;
    if (result->IsKind(STANDARD_TYPE(Geom2d_Conic)))
    {
      // gp_Pln pln(gp_Pnt(0,0,0),gp_Dir(gp_Dir::D::Z));
      // occ::handle<Geom_Curve> curve = GeomAPI::To3d(result,pln);
      // clang-format off
      occ::handle<Geom2d_Curve> tcurve = new Geom2d_TrimmedCurve(result,aFirst,aLast); //protection against parabols ets
      // clang-format on
      Geom2dConvert_ApproxCurve approx(tcurve, Precision::Approximation(), GeomAbs_C1, 100, 6);
      if (approx.HasResult())
      {
        aBSpline2d = approx.Curve();
      }
      else
      {
        aBSpline2d = Geom2dConvert::CurveToBSplineCurve(tcurve, Convert_QuasiAngular);
      }
      aFirst = aBSpline2d->FirstParameter();
      aLast  = aBSpline2d->LastParameter();
    }
    else if (!result->IsKind(STANDARD_TYPE(Geom2d_BSplineCurve)))
    {
      aBSpline2d = Geom2dConvert::CurveToBSplineCurve(result, Convert_QuasiAngular);
    }
    else
    {
      aBSpline2d = occ::down_cast<Geom2d_BSplineCurve>(result);
    }

    // transform the Poles of the BSplineCurve
    int      nbPol = aBSpline2d->NbPoles();
    gp_Pnt2d Pt1;
    for (int i = 1; i <= nbPol; i++)
    {
      pXY = aBSpline2d->Pole(i).XY();
      tMatu.Transforms(pXY);
      Pt1.SetXY(pXY);
      aBSpline2d->SetPole(i, Pt1);
    }
    return aBSpline2d;
  }
}

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

void ShapeBuild_Edge::RemoveCurve3d(const TopoDS_Edge& edge) const
{
  BRep_Builder            B;
  occ::handle<Geom_Curve> c3dNull;
  //: S4136  double tol = BRep_Tool::Tolerance (edge);
  B.UpdateEdge(edge, c3dNull, 0.); //: S4136: tol
}

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

bool ShapeBuild_Edge::BuildCurve3d(const TopoDS_Edge& edge) const
{
  try
  {
    OCC_CATCH_SIGNALS
    // #48 rln 10.12.98 S4054 UKI60107-5 entity 365
    // C0 surface (but curve 3d is required as C1) and tolerance is 1e-07
    // lets use maximum of tolerance and default parameter 1.e-5
    // Another solutions: use quite big Tolerance or require C0 curve on C0 surface
    if (BRepLib::BuildCurve3d(edge, std::max(1.e-5, BRep_Tool::Tolerance(edge))))
    {
      // #50 S4054 rln 14.12.98 write cylinder in BRep mode into IGES and read back
      // with 2DUse_Forced - pcurve and removed 3D curves have different ranges
      if (BRep_Tool::SameRange(edge))
      {
        double first, last;
        BRep_Tool::Range(edge, first, last);
        BRep_Builder().Range(edge, first, last); // explicit setting for all reps
      }
      occ::handle<Geom_Curve> c3d;
      double                  f, l;
      c3d = BRep_Tool::Curve(edge, f, l);
      if (c3d.IsNull())
      {
        return false;
      }
      // 15.11.2002 PTV OCC966
      if (!IsPeriodic(c3d))
      {
        bool isLess = false;
        if (f < c3d->FirstParameter())
        {
          isLess = true;
          f      = c3d->FirstParameter();
        }
        if (l > c3d->LastParameter())
        {
          isLess = true;
          l      = c3d->LastParameter();
        }
        if (isLess)
        {
          SetRange3d(edge, f, l);
          BRep_Builder().SameRange(edge, false);
        }
      }

      return true;
    }
  }
  catch (Standard_Failure const& anException)
  {
#ifdef OCCT_DEBUG
    std::cout << "\nWarning: ShapeBuild_Edge: Exception in BuildCurve3d: ";
    anException.Print(std::cout);
    std::cout << std::endl;
#endif
    (void)anException;
  }
  return false;
}

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

void ShapeBuild_Edge::MakeEdge(TopoDS_Edge&                   edge,
                               const occ::handle<Geom_Curve>& curve,
                               const TopLoc_Location&         L) const
{
  MakeEdge(edge, curve, L, curve->FirstParameter(), curve->LastParameter());
}

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

void ShapeBuild_Edge::MakeEdge(TopoDS_Edge&                   edge,
                               const occ::handle<Geom_Curve>& curve,
                               const TopLoc_Location&         L,
                               const double                   p1,
                               const double                   p2) const
{
  BRepBuilderAPI_MakeEdge ME(curve, p1, p2);
  if (!ME.IsDone())
  {
#ifdef OCCT_DEBUG
    std::cout << "\nWarning: ShapeBuild_Edge::MakeEdge BRepAPI_NotDone";
#endif
    return;
  }
  TopoDS_Edge E = ME.Edge();
  if (!L.IsIdentity())
  {
    BRep_Builder B;
    B.UpdateEdge(E, curve, L, 0.);
    B.Range(E, p1, p2);

    TopoDS_Vertex V1, V2;
    TopExp::Vertices(E, V1, V2);
    gp_Pnt P1 = BRep_Tool::Pnt(V1), P2 = BRep_Tool::Pnt(V2);
    B.UpdateVertex(V1, P1.Transformed(L.Transformation()), 0.);
    B.UpdateVertex(V2, P2.Transformed(L.Transformation()), 0.);
  }
  edge = E;
}

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

void ShapeBuild_Edge::MakeEdge(TopoDS_Edge&                     edge,
                               const occ::handle<Geom2d_Curve>& pcurve,
                               const TopoDS_Face&               face) const
{
  MakeEdge(edge, pcurve, face, pcurve->FirstParameter(), pcurve->LastParameter());
}

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

void ShapeBuild_Edge::MakeEdge(TopoDS_Edge&                     edge,
                               const occ::handle<Geom2d_Curve>& pcurve,
                               const TopoDS_Face&               face,
                               const double                     p1,
                               const double                     p2) const
{
  TopLoc_Location                  L;
  const occ::handle<Geom_Surface>& S = BRep_Tool::Surface(face, L);
  MakeEdge(edge, pcurve, S, L, p1, p2);
}

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

void ShapeBuild_Edge::MakeEdge(TopoDS_Edge&                     edge,
                               const occ::handle<Geom2d_Curve>& pcurve,
                               const occ::handle<Geom_Surface>& S,
                               const TopLoc_Location&           L) const
{
  MakeEdge(edge, pcurve, S, L, pcurve->FirstParameter(), pcurve->LastParameter());
}

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

void ShapeBuild_Edge::MakeEdge(TopoDS_Edge&                     edge,
                               const occ::handle<Geom2d_Curve>& pcurve,
                               const occ::handle<Geom_Surface>& S,
                               const TopLoc_Location&           L,
                               const double                     p1,
                               const double                     p2) const
{
  BRepBuilderAPI_MakeEdge ME(pcurve, S, p1, p2);
  if (!ME.IsDone())
  {
#ifdef OCCT_DEBUG
    std::cout << "\nWarning: ShapeBuild_Edge::MakeEdge BRepAPI_NotDone";
#endif
    return;
  }
  TopoDS_Edge E = ME.Edge();
  if (!L.IsIdentity())
  {
    RemovePCurve(E, S);
    BRep_Builder B;
    B.UpdateEdge(E, pcurve, S, L, 0.);
    B.Range(E, S, L, p1, p2);

    TopoDS_Vertex V1, V2;
    TopExp::Vertices(E, V1, V2);
    gp_Pnt P1 = BRep_Tool::Pnt(V1), P2 = BRep_Tool::Pnt(V2);
    B.UpdateVertex(V1, P1.Transformed(L.Transformation()), 0.);
    B.UpdateVertex(V2, P2.Transformed(L.Transformation()), 0.);
  }
  edge = E;
}