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IntTools_BeanFaceIntersector.cxx

//
//

#include <IntTools_BeanFaceIntersector.ixx>

#include <IntTools_Root.hxx>
#include <Precision.hxx>
#include <Extrema_POnCurv.hxx>
#include <Extrema_POnSurf.hxx>
#include <BRep_Tool.hxx>
#include <Geom_Surface.hxx>
#include <TColStd_Array1OfReal.hxx>
#include <TColStd_Array1OfBoolean.hxx>
#include <TColStd_ListOfInteger.hxx>
#include <TColStd_ListIteratorOfListOfInteger.hxx>
#include <IntTools_EdgeFace.hxx>
#include <IntTools_ListOfCurveRangeSample.hxx>
#include <IntTools_ListOfSurfaceRangeSample.hxx>
#include <IntTools_ListOfBox.hxx>
#include <IntTools_ListIteratorOfListOfBox.hxx>
#include <IntTools_ListIteratorOfListOfCurveRangeSample.hxx>
#include <IntTools_ListIteratorOfListOfSurfaceRangeSample.hxx>
#include <IntTools_MapIteratorOfMapOfCurveSample.hxx>
#include <TColgp_Array1OfPnt2d.hxx>

#include <Geom_Curve.hxx>
#include <Geom_Surface.hxx>
#include <Geom_BSplineSurface.hxx>
#include <GeomAdaptor_Curve.hxx>
#include <GeomAdaptor_Surface.hxx>
#include <Extrema_ExtCS.hxx>
#include <Extrema_ExtPS.hxx>
#include <IntTools.hxx>
#include <IntTools_Context.hxx>
#include <GeomAPI_ProjectPointOnCurve.hxx>
#include <IntCurveSurface_HInter.hxx>
#include <IntCurveSurface_IntersectionPoint.hxx>
#include <IntCurveSurface_IntersectionSegment.hxx>
#include <IntAna_QuadQuadGeo.hxx>
#include <BRepAdaptor_HCurve.hxx>
#include <BRepAdaptor_HSurface.hxx>
#include <Extrema_GenLocateExtPS.hxx>
#include <Extrema_GenExtCS.hxx>
#include <Bnd_Box.hxx>
#include <BndLib_AddSurface.hxx>
#include <BndLib_Add3dCurve.hxx>
#include <ElCLib.hxx>

static Standard_Boolean AdjustPeriodic(const Standard_Real U, 
                               const Standard_Real UFirst,
                               const Standard_Real ULast,
                               const Standard_Real Period,
                               Standard_Real&      UResult);

static Standard_Boolean SetEmptyResultRange(const Standard_Real      theParameter, 
                                  IntTools_MarkedRangeSet& theMarkedRange);

// static Standard_Boolean TestCoinside(const BRepAdaptor_Curve&   theCurve,
//                                      const BRepAdaptor_Surface& theSurface);

//  Modified by skv - Wed Nov  2 15:21:11 2005 Optimization Begin
static Bnd_Box GetSurfaceBox
               (const Handle(Geom_BSplineSurface)        &theSurf,
            const Standard_Real                       theFirstU,
            const Standard_Real                       theLastU,
            const Standard_Real                       theFirstV,
            const Standard_Real                       theLastV,
            const Standard_Real                       theTolerance,
                  IntTools_SurfaceRangeLocalizeData  &theSurfaceData);

static void ComputeGridPoints
               (const Handle(Geom_BSplineSurface)       &theSurf,
            const Standard_Real                      theFirstU,
            const Standard_Real                      theLastU,
            const Standard_Real                      theFirstV,
            const Standard_Real                      theLastV,
            const Standard_Real                      theTolerance,
                  IntTools_SurfaceRangeLocalizeData &theSurfaceData);

static void BuildBox(const Handle(Geom_BSplineSurface)       &theSurf,
                 const Standard_Real                      theFirstU,
                 const Standard_Real                      theLastU,
                 const Standard_Real                      theFirstV,
                 const Standard_Real                      theLastV,
                       IntTools_SurfaceRangeLocalizeData &theSurfaceData,
                     Bnd_Box                           &theBox);
//  Modified by skv - Wed Nov  2 15:21:11 2005 Optimization End

static void MergeSolutions(const IntTools_ListOfCurveRangeSample& theListCurveRange,
                     const IntTools_ListOfSurfaceRangeSample& theListSurfaceRange,
                     IntTools_ListOfCurveRangeSample& theListCurveRangeSort,
                     IntTools_ListOfSurfaceRangeSample& theListSurfaceRangeSort);

static void CheckSampling(const IntTools_CurveRangeSample& theCurveRange,
                    const IntTools_SurfaceRangeSample& theSurfaceRange,
                    const IntTools_CurveRangeLocalizeData& theCurveData,
                    const IntTools_SurfaceRangeLocalizeData& theSurfaceData,
                    const Standard_Real DiffC,
                    const Standard_Real DiffU,
                    const Standard_Real DiffV,
                    Standard_Boolean& bAllowSamplingC,
                    Standard_Boolean& bAllowSamplingU,
                    Standard_Boolean& bAllowSamplingV);
// ==================================================================================
// function: IntTools_BeanFaceIntersector
// purpose: 
// ==================================================================================
IntTools_BeanFaceIntersector::IntTools_BeanFaceIntersector() :
myFirstParameter(0.),
myLastParameter(0.),
myUMinParameter(0.),
myUMaxParameter(0.),
myVMinParameter(0.),
myVMaxParameter(0.),
myBeanTolerance(0.),
myFaceTolerance(0.),
myDeflection(0.01),
myIsDone(Standard_False)
{
  myCriteria        = Precision::Confusion();
  myCurveResolution = Precision::PConfusion();
  myContext = NULL;
}

// ==================================================================================
// function: IntTools_BeanFaceIntersector
// purpose: 
// ==================================================================================
00129 IntTools_BeanFaceIntersector::IntTools_BeanFaceIntersector(const TopoDS_Edge& theEdge,
                                             const TopoDS_Face& theFace) :
myFirstParameter(0.),
myLastParameter(0.),
myUMinParameter(0.),
myUMaxParameter(0.),
myVMinParameter(0.),
myVMaxParameter(0.),
myBeanTolerance(0.),
myFaceTolerance(0.),
myDeflection(0.01),
myIsDone(Standard_False)
{
  myContext = NULL;
  Init(theEdge, theFace);
}

// ==================================================================================
// function: IntTools_BeanFaceIntersector
// purpose: 
// ==================================================================================
00150 IntTools_BeanFaceIntersector::IntTools_BeanFaceIntersector(const BRepAdaptor_Curve&   theCurve,
                                             const BRepAdaptor_Surface& theSurface,
                                             const Standard_Real        theBeanTolerance,
                                                           const Standard_Real        theFaceTolerance) :
myFirstParameter(0.),
myLastParameter(0.),
myUMinParameter(0.),
myUMaxParameter(0.),
myVMinParameter(0.),
myVMaxParameter(0.),
myDeflection(0.01),
myIsDone(Standard_False)
{
  myContext = NULL;
  Init(theCurve, theSurface, theBeanTolerance, theFaceTolerance);
}

// ==================================================================================
// function: IntTools_BeanFaceIntersector
// purpose: 
// ==================================================================================
00171 IntTools_BeanFaceIntersector::IntTools_BeanFaceIntersector(const BRepAdaptor_Curve&   theCurve,
                                             const BRepAdaptor_Surface& theSurface,
                                             const Standard_Real        theFirstParOnCurve,
                                             const Standard_Real        theLastParOnCurve,
                                             const Standard_Real        theUMinParameter,
                                             const Standard_Real        theUMaxParameter,
                                             const Standard_Real        theVMinParameter,
                                             const Standard_Real        theVMaxParameter,
                                             const Standard_Real        theBeanTolerance,
                                             const Standard_Real        theFaceTolerance) :
myFirstParameter(theFirstParOnCurve),
myLastParameter(theLastParOnCurve),
myUMinParameter(theUMinParameter),
myUMaxParameter(theUMaxParameter),
myVMinParameter(theVMinParameter),
myVMaxParameter(theVMaxParameter),
myBeanTolerance(theBeanTolerance),
myFaceTolerance(theFaceTolerance),
myDeflection(0.01),
myIsDone(Standard_False)
{
  myCurve = theCurve;

  myCriteria = myBeanTolerance + myFaceTolerance;
  myCurveResolution = myCurve.Resolution(myCriteria);

  mySurface = theSurface;
  myTrsfSurface = Handle(Geom_Surface)::DownCast(mySurface.Surface().Surface()->Transformed(mySurface.Trsf()));
  myContext = NULL;
}

// ==================================================================================
// function: Init
// purpose: 
// ==================================================================================
00206 void IntTools_BeanFaceIntersector::Init(const TopoDS_Edge& theEdge,
                              const TopoDS_Face& theFace) 
{
  myCurve.Initialize(theEdge);
  mySurface.Initialize(theFace);
  myTrsfSurface = Handle(Geom_Surface)::DownCast(mySurface.Surface().Surface()->Transformed(mySurface.Trsf()));
  myBeanTolerance = BRep_Tool::Tolerance(theEdge);
  myFaceTolerance = BRep_Tool::Tolerance(theFace);

  myCriteria = myBeanTolerance + myFaceTolerance;
  myCurveResolution = myCurve.Resolution(myCriteria);

  SetSurfaceParameters(mySurface.FirstUParameter(), mySurface.LastUParameter(), 
                   mySurface.FirstVParameter(), mySurface.LastVParameter());
  myResults.Clear();
  myContext = NULL;
}

// ==================================================================================
// function: Init
// purpose: 
// ==================================================================================
00228 void IntTools_BeanFaceIntersector::Init(const BRepAdaptor_Curve&   theCurve,
                              const BRepAdaptor_Surface& theSurface,
                              const Standard_Real        theBeanTolerance,
                              const Standard_Real        theFaceTolerance) 
{
  myCurve = theCurve;
  mySurface = theSurface;
  myTrsfSurface = Handle(Geom_Surface)::DownCast(mySurface.Surface().Surface()->Transformed(mySurface.Trsf()));
  myBeanTolerance = theBeanTolerance;
  myFaceTolerance = theFaceTolerance;

  myCriteria = myBeanTolerance + myFaceTolerance;
  myCurveResolution = myCurve.Resolution(myCriteria);

  SetSurfaceParameters(mySurface.FirstUParameter(), mySurface.LastUParameter(), 
                   mySurface.FirstVParameter(), mySurface.LastVParameter());
  myResults.Clear();
  myContext = NULL;
}

// ==================================================================================
// function: Init
// purpose: 
// ==================================================================================
00252 void IntTools_BeanFaceIntersector::Init(const BRepAdaptor_Curve&   theCurve,
                              const BRepAdaptor_Surface& theSurface,
                              const Standard_Real        theFirstParOnCurve,
                              const Standard_Real        theLastParOnCurve,
                              const Standard_Real        theUMinParameter,
                              const Standard_Real        theUMaxParameter,
                              const Standard_Real        theVMinParameter,
                              const Standard_Real        theVMaxParameter,
                              const Standard_Real        theBeanTolerance,
                              const Standard_Real        theFaceTolerance) 
{
  Init(theCurve, theSurface, theBeanTolerance, theFaceTolerance);
  SetBeanParameters(theFirstParOnCurve, theLastParOnCurve);
  SetSurfaceParameters(theUMinParameter, theUMaxParameter, theVMinParameter, theVMaxParameter);
  myContext = NULL;
}

// ==================================================================================
// function: SetContext
// purpose: 
// ==================================================================================
00273 void IntTools_BeanFaceIntersector::SetContext(const IntTools_PContext& theContext) 
{
  myContext = theContext;
}

// ==================================================================================
// function: SetBeanParameters
// purpose: 
// ==================================================================================
00282 void IntTools_BeanFaceIntersector::SetBeanParameters(const Standard_Real theFirstParOnCurve,
                                         const Standard_Real theLastParOnCurve) 
{
  myFirstParameter = theFirstParOnCurve;
  myLastParameter  = theLastParOnCurve;
}

// ==================================================================================
// function: SetSurfaceParameters
// purpose: 
// ==================================================================================
00293 void IntTools_BeanFaceIntersector::SetSurfaceParameters(const Standard_Real theUMinParameter,
                                          const Standard_Real theUMaxParameter,
                                          const Standard_Real theVMinParameter,
                                          const Standard_Real theVMaxParameter) 
{
  myUMinParameter  = theUMinParameter;
  myUMaxParameter  = theUMaxParameter;
  myVMinParameter  = theVMinParameter;
  myVMaxParameter  = theVMaxParameter;
}

// ==================================================================================
// function: Perform
// purpose: 
// ==================================================================================
00308 void IntTools_BeanFaceIntersector::Perform() 
{
  myIsDone = Standard_False;
  myResults.Clear();

  Standard_Integer aDiscretization = 30; // corresponds to discretization of BSpline usually approximated by 30 points.
  Standard_Real aRelativeDeflection = 0.01;
  myDeflection = aRelativeDeflection;

  if(myCurve.GetType()==GeomAbs_Line) {
    aDiscretization = 3;
    myDeflection = Precision::Confusion();
  }
  else {
    if(myCurve.GetType()==GeomAbs_Circle) {
      aDiscretization = 23;
      Standard_Real R = myCurve.Circle().Radius();
      myDeflection = aRelativeDeflection * R;
    }
    if(myCurve.GetType() == GeomAbs_Ellipse) {
      aDiscretization = 23;
      Standard_Real R = myCurve.Ellipse().MajorRadius();
      myDeflection = 2 * aRelativeDeflection * R;
    }
  }
// modified by NIZHNY-MKK  Wed Oct 19 12:15:21 2005
  Standard_Boolean bLocalize = Standard_False;

  if(((mySurface.GetType() == GeomAbs_BSplineSurface) &&
      ((mySurface.UDegree() > 2) || (mySurface.VDegree() > 2)) &&
      ((mySurface.NbUKnots() > 2) || (mySurface.NbVKnots() > 2))) ||
     (mySurface.GetType() == GeomAbs_BezierSurface) ||
     (mySurface.GetType() == GeomAbs_OtherSurface)) {
    bLocalize = Standard_True;
  }

  if(bLocalize) {
    if(Precision::IsInfinite(myUMinParameter) ||
       Precision::IsInfinite(myUMaxParameter) ||
       Precision::IsInfinite(myVMinParameter) ||
       Precision::IsInfinite(myVMaxParameter))
      bLocalize = Standard_False;
  }
  Standard_Boolean bSuccessLocalize = Standard_False;

  if( bLocalize) {
    myRangeManager.SetBoundaries(myFirstParameter, myLastParameter, 0);
    Standard_Boolean coinside = TestComputeCoinside();

    if(!coinside)
      bSuccessLocalize = ComputeLocalized();
  }

  if(!bLocalize || !bSuccessLocalize) {
// modified by NIZHNY-MKK  Wed Oct 19 12:15:26 2005.END

    IntTools_CArray1OfReal aParams;
    
    if(IntTools::PrepareArgs(myCurve, myLastParameter, myFirstParameter, aDiscretization, aRelativeDeflection, aParams)) {
      return;
    }

    myRangeManager.SetRanges(aParams, 0);

    if(myRangeManager.Length()==0) {
      return;
    }
    
    if(FastComputeExactIntersection()) {
      IntTools_Range aRange(myFirstParameter, myLastParameter);
      myResults.Append(aRange);
      myIsDone = Standard_True;
      return;
    }

//     Standard_Boolean coinside = TestCoinside(myCurve,mySurface);
    Standard_Boolean coinside = TestComputeCoinside();
//     if(coinside) {
//       myRangeManager.InsertRange(myFirstParameter, myLastParameter, 2);
//     }
//     else {
    if(!coinside) {
      ComputeAroundExactIntersection();
      
      ComputeUsingExtremum();
      
      ComputeNearRangeBoundaries();
    }
  }

  myIsDone = Standard_True;

  for(Standard_Integer i = 1; i <= myRangeManager.Length(); i++) {

    if(myRangeManager.Flag(i) == 2) {
      IntTools_Range aRange = myRangeManager.Range(i);

      if(myResults.Length() > 0) {
      const IntTools_Range& aLastRange = myResults.Last();

      if(Abs(aRange.First() - aLastRange.Last()) > Precision::PConfusion()) {
        myResults.Append(aRange);
      }
      else {
        myResults.ChangeValue(myResults.Length()).SetLast(aRange.Last());
      }
      }
      else {
      myResults.Append(aRange);
      }
    }
  }
}

// ==================================================================================
// function: Result
// purpose: 
// ==================================================================================
const IntTools_SequenceOfRanges& IntTools_BeanFaceIntersector::Result() const
{
  return myResults;
}

// ==================================================================================
// function: Result
// purpose: 
// ==================================================================================
void IntTools_BeanFaceIntersector::Result(IntTools_SequenceOfRanges& theResults) const
{
  theResults = myResults;
}

// ==================================================================================
// function: Distance
// purpose: 
// ==================================================================================
Standard_Real IntTools_BeanFaceIntersector::Distance(const Standard_Real theArg)
{
  gp_Pnt aPoint = myCurve.Value(theArg);

  if(myContext == NULL) {
    myProjector.Init(aPoint, myTrsfSurface, myUMinParameter, myUMaxParameter,
                 myVMinParameter, myVMaxParameter, 1.e-10);
    if(myProjector.IsDone() && myProjector.NbPoints() > 0) {
      return myProjector.LowerDistance();
    }
  }
  else {
    GeomAPI_ProjectPointOnSurf& aProjector = myContext->ProjPS(mySurface.Face());
    aProjector.Perform(aPoint);
    
    if(aProjector.IsDone() && aProjector.NbPoints() > 0) {
      return aProjector.LowerDistance();
    }
  }
  // 
  Standard_Real aDistance = RealLast();
    
  for(Standard_Integer i=0; i < 4; i++) {
    Standard_Real anIsoParameter = (i==0) ? myUMinParameter : ((i==1) ? myUMaxParameter : ((i==2) ? myVMinParameter : myVMaxParameter));
    Standard_Real aMinParameter  = (i < 2) ? myVMinParameter : myUMinParameter;
    Standard_Real aMaxParameter  = (i < 2) ? myVMaxParameter : myUMaxParameter;
    Standard_Real aMidParameter = (aMinParameter + aMaxParameter) * 0.5;
    gp_Pnt aPointMin = (i < 2) ? mySurface.Value(anIsoParameter, aMinParameter) : mySurface.Value(aMinParameter, anIsoParameter);
    gp_Pnt aPointMax = (i < 2) ? mySurface.Value(anIsoParameter, aMaxParameter) : mySurface.Value(aMaxParameter, anIsoParameter);
    gp_Pnt aPointMid = (i < 2) ? mySurface.Value(anIsoParameter, aMidParameter) : mySurface.Value(aMidParameter, anIsoParameter);

    Standard_Boolean useMinMaxPoints = Standard_True;
    Standard_Boolean computeisoline = Standard_True;

    if(aPointMin.IsEqual(aPointMax, myCriteria) &&
       aPointMin.IsEqual(aPointMid, myCriteria) &&
       aPointMax.IsEqual(aPointMid, myCriteria)) {
      computeisoline = Standard_False;
    }
   
    if(computeisoline) {
      Handle(Geom_Curve) aCurve = (i < 2) ? myTrsfSurface->UIso(anIsoParameter) : myTrsfSurface->VIso(anIsoParameter);
      GeomAPI_ProjectPointOnCurve aProjectorOnCurve(aPoint, aCurve, aMinParameter, aMaxParameter);
    
      if(aProjectorOnCurve.NbPoints() > 0) {
      useMinMaxPoints = Standard_False;
      
      if(aDistance > aProjectorOnCurve.LowerDistance())
        aDistance = aProjectorOnCurve.LowerDistance();
      }
    }

    if(useMinMaxPoints) {
      Standard_Real aPPDistance = aPoint.Distance(aPointMin);
      aDistance = (aPPDistance < aDistance) ? aPPDistance : aDistance;
      aPPDistance = aPoint.Distance(aPointMax);
      aDistance = (aPPDistance < aDistance) ? aPPDistance : aDistance;
    }
  }
  return aDistance;
}


// ==================================================================================
// function: Distance
// purpose: 
// ==================================================================================
Standard_Real IntTools_BeanFaceIntersector::Distance(const Standard_Real theArg,
                                         Standard_Real&      theUParameter,
                                         Standard_Real&      theVParameter)  
{
  gp_Pnt aPoint = myCurve.Value(theArg);

  theUParameter = myUMinParameter;
  theVParameter = myVMinParameter;
  // 
  Standard_Real aDistance = RealLast();
  Standard_Boolean projectionfound = Standard_False;

  if(myContext == NULL) {
    myProjector.Init(aPoint, myTrsfSurface, myUMinParameter, myUMaxParameter,
                 myVMinParameter, myVMaxParameter, 1.e-10);

    if(myProjector.IsDone() && myProjector.NbPoints() > 0) {
      myProjector.LowerDistanceParameters(theUParameter, theVParameter);
      aDistance = myProjector.LowerDistance();
      projectionfound = Standard_True;
    }
  }
  else {
    GeomAPI_ProjectPointOnSurf& aProjector = myContext->ProjPS(mySurface.Face());
    aProjector.Perform(aPoint);
    
    if(aProjector.IsDone() && aProjector.NbPoints() > 0) {
      aProjector.LowerDistanceParameters(theUParameter, theVParameter);
      aDistance = aProjector.LowerDistance();
      projectionfound = Standard_True;
    }
  }

  if(!projectionfound) {
  //
    for(Standard_Integer i = 0; i < 4; i++) {
      Standard_Real anIsoParameter = (i==0) ? myUMinParameter : ((i==1) ? myUMaxParameter : ((i==2) ? myVMinParameter : myVMaxParameter));
      Standard_Real aMinParameter = (i < 2) ? myVMinParameter : myUMinParameter;
      Standard_Real aMaxParameter = (i < 2) ? myVMaxParameter : myUMaxParameter;
      Standard_Real aMidParameter = (aMinParameter + aMaxParameter) * 0.5;
      gp_Pnt aPointMin = (i < 2) ? mySurface.Value(anIsoParameter, aMinParameter) : mySurface.Value(aMinParameter, anIsoParameter);
      gp_Pnt aPointMax = (i < 2) ? mySurface.Value(anIsoParameter, aMaxParameter) : mySurface.Value(aMaxParameter, anIsoParameter);
      gp_Pnt aPointMid = (i < 2) ? mySurface.Value(anIsoParameter, aMidParameter) : mySurface.Value(aMidParameter, anIsoParameter);

      Standard_Boolean useMinMaxPoints = Standard_True;
      Standard_Boolean computeisoline = Standard_True;
      
      if(aPointMin.IsEqual(aPointMax, myCriteria) &&
       aPointMin.IsEqual(aPointMid, myCriteria) &&
       aPointMax.IsEqual(aPointMid, myCriteria)) {
      computeisoline = Standard_False;
      }

      if(computeisoline) {
      Handle(Geom_Curve) aCurve = (i < 2) ? myTrsfSurface->UIso(anIsoParameter) : myTrsfSurface->VIso(anIsoParameter);
      GeomAPI_ProjectPointOnCurve aProjectorOnCurve(aPoint, aCurve, aMinParameter, aMaxParameter);
      
      if(aProjectorOnCurve.NbPoints() > 0) {
        useMinMaxPoints = Standard_False;

        if(aDistance > aProjectorOnCurve.LowerDistance()) {
          theUParameter = (i<=1) ? anIsoParameter : aProjectorOnCurve.LowerDistanceParameter();
          theVParameter = (i>=2) ? anIsoParameter : aProjectorOnCurve.LowerDistanceParameter();
          aDistance = aProjectorOnCurve.LowerDistance();
        }
      }
      }

      if(useMinMaxPoints) {
      Standard_Real aPPDistance = aPoint.Distance(aPointMin);
      
      if(aPPDistance < aDistance) {
        theUParameter = (i<=1) ? anIsoParameter : aMinParameter;
        theVParameter = (i>=2) ? anIsoParameter : aMinParameter;
        aDistance = aPPDistance;
      }
      aPPDistance = aPoint.Distance(aPointMax);
      
      if(aPPDistance < aDistance) {
        theUParameter = (i<=1) ? anIsoParameter : aMaxParameter;
        theVParameter = (i>=2) ? anIsoParameter : aMaxParameter;
        aDistance = aPPDistance;
      }
      }
    }
  }
  theUParameter = (myUMinParameter > theUParameter) ? myUMinParameter : theUParameter;
  theUParameter = (myUMaxParameter < theUParameter) ? myUMaxParameter : theUParameter;
  theVParameter = (myVMinParameter > theVParameter) ? myVMinParameter : theVParameter;
  theVParameter = (myVMaxParameter < theVParameter) ? myVMaxParameter : theVParameter;

  return aDistance;
}

// ==================================================================================
// function: ComputeAroundExactIntersection
// purpose: 
// ==================================================================================
void IntTools_BeanFaceIntersector::ComputeAroundExactIntersection() 
{
  IntCurveSurface_HInter anExactIntersector;
  
  Handle(BRepAdaptor_HCurve) aCurve     = new BRepAdaptor_HCurve(myCurve);
  Handle(BRepAdaptor_HSurface) aSurface = new BRepAdaptor_HSurface(mySurface);

  anExactIntersector.Perform(aCurve, aSurface);

  if(anExactIntersector.IsDone()) {
    Standard_Integer i = 0;

    for(i = 1; i <= anExactIntersector.NbPoints(); i++) {
      const IntCurveSurface_IntersectionPoint& aPoint = anExactIntersector.Point(i);
      
      if((aPoint.W() >= myFirstParameter) && (aPoint.W() <= myLastParameter)) {
      Standard_Boolean UIsNotValid = ((myUMinParameter > aPoint.U()) || (aPoint.U() > myUMaxParameter));
      Standard_Boolean VIsNotValid = ((myVMinParameter > aPoint.V()) || (aPoint.V() > myVMaxParameter));
      Standard_Boolean solutionIsValid = !UIsNotValid && !VIsNotValid;
      Standard_Real U = aPoint.U();
      Standard_Real V = aPoint.V();

      if(UIsNotValid || VIsNotValid) {
// modified by NIZHNY-MKK  Thu Jun 17 12:50:39 2004
        Standard_Boolean bUCorrected = Standard_True;

        if(UIsNotValid) {
// modified by NIZHNY-MKK  Thu Jun 17 12:50:37 2004
          bUCorrected = Standard_False;
          solutionIsValid = Standard_False;
          
          if(mySurface.IsUPeriodic()) {
            Standard_Real aNewU = U;
            
            if(AdjustPeriodic(U, myUMinParameter, myUMaxParameter, mySurface.UPeriod(), aNewU)) {
            solutionIsValid = Standard_True;
// modified by NIZHNY-MKK  Thu Jun 17 12:51:01 2004
            bUCorrected = Standard_True;
            U = aNewU;
            }
          }
        }
        // modified by NIZHNY-MKK  Thu Jun 17 12:51:03 2004
//      if(solutionIsValid && VIsNotValid) {
        if(bUCorrected && VIsNotValid) {
          solutionIsValid = Standard_False;
          
          if(mySurface.IsVPeriodic()) {
            Standard_Real aNewV = V;
            
            if(AdjustPeriodic(V, myVMinParameter, myVMaxParameter, mySurface.VPeriod(), aNewV)) {
            solutionIsValid = Standard_True;
            V = aNewV;
            }
          }
        }
      }
      
      if(!solutionIsValid)
        continue;

      Standard_Integer aNbRanges = myRangeManager.Length();

      ComputeRangeFromStartPoint(Standard_False, aPoint.W(), U, V);
      ComputeRangeFromStartPoint(Standard_True, aPoint.W(), U, V);

      if(aNbRanges == myRangeManager.Length()) {        
        SetEmptyResultRange(aPoint.W(), myRangeManager);
      } // end if(aNbRanges == myRangeManager.Length())
      }
    }

    for(i = 1; i <= anExactIntersector.NbSegments(); i++) {
      const IntCurveSurface_IntersectionSegment& aSegment = anExactIntersector.Segment(i);
      IntCurveSurface_IntersectionPoint aPoint1, aPoint2;
      aSegment.Values(aPoint1, aPoint2);

      Standard_Real aFirstParameter = (aPoint1.W() < myFirstParameter) ? myFirstParameter : aPoint1.W();
      Standard_Real aLastParameter = (myLastParameter < aPoint2.W())   ? myLastParameter  : aPoint2.W();

      myRangeManager.InsertRange(aFirstParameter, aLastParameter, 2);

      ComputeRangeFromStartPoint(Standard_False, aPoint1.W(), aPoint1.U(), aPoint1.V());
      ComputeRangeFromStartPoint(Standard_True,  aPoint2.W(), aPoint2.U(), aPoint2.V());
    }
  }
}

// ==================================================================================
// function: FastComputeExactIntersection
// purpose: 
// ==================================================================================
Standard_Boolean IntTools_BeanFaceIntersector::FastComputeExactIntersection() 
{
  Standard_Boolean aresult = Standard_False;

  if((myCurve.GetType() == GeomAbs_BezierCurve) ||
     (myCurve.GetType() == GeomAbs_BSplineCurve) ||
     (myCurve.GetType() == GeomAbs_OtherCurve)) {
    return aresult;
  }

  if(mySurface.GetType() == GeomAbs_Plane) {
    gp_Pln surfPlane = mySurface.Plane();

    if(myCurve.GetType() == GeomAbs_Line) {
      if((surfPlane.Distance(myCurve.Value(myFirstParameter)) < myCriteria) &&
       (surfPlane.Distance(myCurve.Value(myLastParameter)) < myCriteria)) {
      myRangeManager.InsertRange(myFirstParameter, myLastParameter, 2);
      aresult = Standard_True;
      }
    }
    else {
      gp_Dir aDir;

      switch(myCurve.GetType()) {
      case GeomAbs_Circle: {
      aDir = myCurve.Circle().Axis().Direction();
      break;
      }
      case GeomAbs_Ellipse: {
      aDir = myCurve.Ellipse().Axis().Direction();
      break;
      }
      case GeomAbs_Hyperbola: {
      aDir = myCurve.Hyperbola().Axis().Direction();
      break;
      }
      case GeomAbs_Parabola: {
      aDir = myCurve.Parabola().Axis().Direction();
      break;
      }
      default: {
      return aresult;
      }
      }
      Standard_Real anAngle = aDir.Angle(surfPlane.Axis().Direction());
      
      if(anAngle < Precision::Angular()) {
      Standard_Boolean insertRange = Standard_False;
      
      switch(myCurve.GetType()) {
      case GeomAbs_Circle: {
        Standard_Real adist = surfPlane.Distance(myCurve.Circle().Location()) + myCurve.Circle().Radius() * Precision::Angular();
        
        if(adist < myCriteria) {
          insertRange = Standard_True;
        }
        break;
      }
      case GeomAbs_Ellipse: {
        Standard_Real adist = surfPlane.Distance(myCurve.Ellipse().Location()) + myCurve.Ellipse().MajorRadius() * Precision::Angular();
        
        if(adist < myCriteria) {
          insertRange = Standard_True;
        }
        break;
      }
      case GeomAbs_Hyperbola:
      case GeomAbs_Parabola: {
        Standard_Real aMaxPar = (Abs(myFirstParameter)  > Abs(myLastParameter)) ? Abs(myFirstParameter) : Abs(myLastParameter);
        gp_Pnt aLoc = (myCurve.GetType() == GeomAbs_Parabola) ? myCurve.Parabola().Location() : myCurve.Hyperbola().Location();
        Standard_Real adist = aLoc.Distance(myCurve.Value(aMaxPar));
        adist = surfPlane.Distance(aLoc) + adist * Precision::Angular();
        
        if(adist < myCriteria) {
          insertRange = Standard_True;
        }
        break;
      }
      default: {
        break;
      }
      }
      
      if(insertRange) {
        myRangeManager.InsertRange(myFirstParameter, myLastParameter, 2);
        aresult = Standard_True;
      }
      }
    }
  }

  if(myCurve.GetType() == GeomAbs_Circle) {
    gp_Circ aCircle = myCurve.Circle();

    if(mySurface.GetType() == GeomAbs_Cylinder) {
      gp_Cylinder aCylinder = mySurface.Cylinder();
      gp_Dir aDir1(aCylinder.Axis().Direction());
      gp_Dir aDir2(aCircle.Axis().Direction());
      Standard_Real anAngle = aDir1.Angle(aDir2);
      
      if(anAngle < Precision::Angular()) {
      gp_Pnt aLoc = aCircle.Location();
      gp_Lin anCylAxis(aCylinder.Axis());
      Standard_Real alocdist = anCylAxis.Distance(aLoc);
      Standard_Real adist = alocdist;
      Standard_Real adiff = aCircle.Radius() - aCylinder.Radius();
      adist += Abs(adiff);
      
      if(adist < myCriteria) {
        Standard_Real acylradius = aCylinder.Radius();
        Standard_Real atmpvalue = aCircle.Radius() * sin(Precision::Angular());
        Standard_Real aprojectedradius = atmpvalue;
        aprojectedradius = sqrt((aCircle.Radius() * aCircle.Radius()) - (aprojectedradius * aprojectedradius));
        adiff = aprojectedradius - acylradius;
        adist = alocdist + Abs(adiff);
              
        if(adist < myCriteria) { // Abs is important function here
          myRangeManager.InsertRange(myFirstParameter, myLastParameter, 2);
          aresult = Standard_True;
        }
      }
      }
    }

    if(mySurface.GetType() == GeomAbs_Sphere) {
      gp_Pln aCirclePln(aCircle.Location(), aCircle.Axis().Direction());
      IntAna_QuadQuadGeo anInter(aCirclePln, mySurface.Sphere());
      
      if(anInter.IsDone()) {
      if(anInter.TypeInter() == IntAna_Circle) {
        gp_Circ aCircleToCompare = anInter.Circle(1);
        Standard_Real adist = aCircleToCompare.Location().Distance(aCircle.Location());
        Standard_Real adiff = aCircle.Radius() - aCircleToCompare.Radius();
        adist += Abs(adiff);
        
        if(adist < myCriteria) {
          myRangeManager.InsertRange(myFirstParameter, myLastParameter, 2);
          aresult = Standard_True;
        }
      }
      }
    }
  }
  return aresult;
}


// ==================================================================================
// function: ComputeUsingExtremum
// purpose: 
// ==================================================================================
void IntTools_BeanFaceIntersector::ComputeUsingExtremum() 
{
  Standard_Real Tol, af, al;
  Tol = Precision::PConfusion();
  Handle(Geom_Curve) aCurve = BRep_Tool::Curve  (myCurve.Edge(), af, al);
  GeomAdaptor_Surface aGASurface (myTrsfSurface, 
                          myUMinParameter, 
                          myUMaxParameter, 
                          myVMinParameter, 
                          myVMaxParameter);

  Bnd_Box FBox;
  BndLib_AddSurface::Add(mySurface, 0., FBox);
  FBox.Enlarge(myFaceTolerance);

  for(Standard_Integer i = 1; i <= myRangeManager.Length(); i++) {

    if(myRangeManager.Flag(i) > 0)
      continue;

    IntTools_Range aParamRange = myRangeManager.Range(i);
    Standard_Real anarg1 = aParamRange.First();
    Standard_Real anarg2 = aParamRange.Last();

    if(anarg2 - anarg1 < Precision::PConfusion()) {

      if(((i > 1) && (myRangeManager.Flag(i-1) == 2)) ||
       ((i <  myRangeManager.Length()) && (myRangeManager.Flag(i+1) == 2))) {
      myRangeManager.SetFlag(i, 1);
      continue;
      }
    }

    // check bounding boxes
    Bnd_Box EBox;
    EBox.Add(myCurve.Value(anarg1));
    EBox.Add(myCurve.Value(anarg2));
    EBox.Enlarge(myBeanTolerance + myDeflection);
    
    if(EBox.IsOut(FBox)) {
      myRangeManager.SetFlag(i, 1);
      continue;
    }

    GeomAdaptor_Curve aGACurve(aCurve, anarg1, anarg2);
    Extrema_ExtCS theExtCS(aGACurve, aGASurface, Tol, Tol);
    myExtrema = theExtCS; 
    
    if(myExtrema.IsDone() && (myExtrema.NbExt() || myExtrema.IsParallel())) {
      Standard_Integer anOldNbRanges = myRangeManager.Length();

      if (myExtrema.IsParallel()) {

      if(myExtrema.Value(1) < myCriteria) {
        Standard_Real U1, V1, U2, V2;
        Standard_Real adistance1 = Distance(anarg1, U1, V1);
        Standard_Real adistance2 = Distance(anarg2, U2, V2);
        Standard_Boolean validdistance1 = (adistance1 < myCriteria);
        Standard_Boolean validdistance2 = (adistance2 < myCriteria);

        if (validdistance1 && validdistance2) {
          myRangeManager.InsertRange(anarg1, anarg2, 2);
          continue;
        }
        else {
          if(validdistance1) {
            ComputeRangeFromStartPoint(Standard_True, anarg1, U1, V1);
          }
          else {
            if(validdistance2) {
            ComputeRangeFromStartPoint(Standard_False, anarg2, U2, V2);
            }
            else {
            Standard_Real a  = anarg1;
            Standard_Real b  = anarg2;
            Standard_Real da = adistance1;
            Standard_Real db = adistance2;
            Standard_Real asolution = a;
            Standard_Boolean found = Standard_False;

            while(((b - a) > myCurveResolution) && !found) {
              asolution = (a+b)*0.5;
              Standard_Real adist = Distance(asolution, U1, V1);
              
              if(adist < myCriteria) {
                found = Standard_True;
              }
              else {
                if(da < db) {
                  b = asolution;
                  db = adist;
                }
                else {
                  a = asolution;
                  da = adist;
                }
              }
            } // end while

            if(found) {
              ComputeRangeFromStartPoint(Standard_False, asolution, U1, V1);
              ComputeRangeFromStartPoint(Standard_True, asolution, U1, V1);
            }
            else {
              myRangeManager.SetFlag(i, 1);
            }
            }
          }
        }
      }
      else {
        myRangeManager.SetFlag(i, 1);
      }
      }
      else {
      Standard_Boolean solutionfound = Standard_False;

      for(Standard_Integer j = 1 ; j <= myExtrema.NbExt(); j++) {

        if(myExtrema.Value(j) < myCriteria) {
          Extrema_POnCurv p1;
          Extrema_POnSurf p2;
          myExtrema.Points(j, p1, p2);
          Standard_Real U, V;
          p2.Parameter(U, V);

          Standard_Integer aNbRanges = myRangeManager.Length();
          ComputeRangeFromStartPoint(Standard_False, p1.Parameter(), U, V);
          ComputeRangeFromStartPoint(Standard_True, p1.Parameter(), U, V);
          solutionfound = Standard_True;
          
          if(aNbRanges == myRangeManager.Length()) {
            SetEmptyResultRange(p1.Parameter(), myRangeManager);
          }
        }
      } //end for

      if(!solutionfound) {
        myRangeManager.SetFlag(i, 1);
      }
      }
      Standard_Integer adifference = myRangeManager.Length() - anOldNbRanges;
      
      if(adifference > 0) {
      i+=adifference;
      }
    } // end if(myExtrema.IsDone() && (myExtrema.NbExt() || myExtrema.IsParallel()))
  }
}

// ==================================================================================
// function: ComputeNearRangeBoundaries
// purpose: 
// ==================================================================================
void IntTools_BeanFaceIntersector::ComputeNearRangeBoundaries() 
{
  Standard_Real U = myUMinParameter;
  Standard_Real V = myVMinParameter;

  for(Standard_Integer i = 1; i <= myRangeManager.Length(); i++) {

    if(myRangeManager.Flag(i) > 0)
      continue;

    if((i > 1) && (myRangeManager.Flag(i-1) > 0))
      continue;

    IntTools_Range aParamRange = myRangeManager.Range(i);

    if(Distance(aParamRange.First(), U, V) < myCriteria) {
      Standard_Integer aNbRanges = myRangeManager.Length();
      
      if(i > 1) {
      ComputeRangeFromStartPoint(Standard_False, aParamRange.First(), U, V, i-1);
      }
      ComputeRangeFromStartPoint(Standard_True, aParamRange.First(), U, V, i + (myRangeManager.Length() - aNbRanges));

      if(aNbRanges == myRangeManager.Length()) {
      SetEmptyResultRange(aParamRange.First(), myRangeManager);
      }
    }
  }

  if(myRangeManager.Flag(myRangeManager.Length()) == 0) {
    IntTools_Range aParamRange = myRangeManager.Range(myRangeManager.Length());

    if(Distance(aParamRange.Last(), U, V) < myCriteria) {
      Standard_Integer aNbRanges = myRangeManager.Length();
      
      ComputeRangeFromStartPoint(Standard_False, aParamRange.Last(), U, V, myRangeManager.Length());
      
      if(aNbRanges == myRangeManager.Length()) {
      SetEmptyResultRange(aParamRange.Last(), myRangeManager);
      }
    }
  }
}

// ==================================================================================
// function: ComputeRangeFromStartPoint
// purpose:  Compute range using start point according to parameter theParameter,
//           increasing parameter on curve if ToIncreaseParameter == Standard_True or
//           decreasing parameter on curve if ToIncreaseParameter == Standard_False
// ==================================================================================
void IntTools_BeanFaceIntersector::ComputeRangeFromStartPoint(const Standard_Boolean ToIncreaseParameter,
                                                const Standard_Real    theParameter,
                                                const Standard_Real    theUParameter,
                                                const Standard_Real    theVParameter) 
{
  Standard_Integer aFoundIndex = myRangeManager.GetIndex(theParameter, ToIncreaseParameter);

  if(aFoundIndex == 0) {
    return;
  }

  ComputeRangeFromStartPoint(ToIncreaseParameter, theParameter, theUParameter, theVParameter, aFoundIndex);
}

// ==================================================================================
// function: ComputeRangeFromStartPoint
// purpose:  Compute range using start point according to parameter theParameter,
//           increasing parameter on curve if ToIncreaseParameter == Standard_True or
//           decreasing parameter on curve if ToIncreaseParameter == Standard_False.
//           theIndex indicate that theParameter belong the range number theIndex.
// ==================================================================================
void IntTools_BeanFaceIntersector::ComputeRangeFromStartPoint(const Standard_Boolean ToIncreaseParameter,
                                                const Standard_Real    theParameter,
                                                const Standard_Real    theUParameter,
                                                const Standard_Real    theVParameter,
                                                const Standard_Integer theIndex) 
{
  if(myRangeManager.Flag(theIndex) > 0)
    return;

    Standard_Integer aValidIndex = theIndex;

  Standard_Real aMinDelta        = myCurveResolution * 0.5;
  Standard_Real aDeltaRestrictor = myLastParameter - myFirstParameter;

  if(aMinDelta > aDeltaRestrictor)
    aMinDelta = aDeltaRestrictor * 0.5;

  Standard_Real tenOfMinDelta    = aMinDelta * 10.;
  Standard_Real aDelta           = myCurveResolution;

  Standard_Real aCurPar  = (ToIncreaseParameter) ? (theParameter + aDelta) : (theParameter - aDelta);
  Standard_Real aPrevPar = theParameter;
  IntTools_Range aCurrentRange = myRangeManager.Range(aValidIndex);

  Standard_Boolean BoundaryCondition  = (ToIncreaseParameter) ? (aCurPar > aCurrentRange.Last()) : (aCurPar < aCurrentRange.First());
  
  if(BoundaryCondition) {
    aCurPar = (ToIncreaseParameter) ? aCurrentRange.Last() : aCurrentRange.First();
    BoundaryCondition = Standard_False;
  }

  Standard_Integer loopcounter = 0; // neccesary as infinite loop restricter
  Standard_Real U = theUParameter;
  Standard_Real V = theVParameter;
  Standard_Boolean anotherSolutionFound = Standard_False;

  Standard_Boolean isboundaryindex = Standard_False;
  Standard_Boolean isvalidindex = Standard_True;
  
  while((aDelta >= aMinDelta) && (loopcounter <= 10)) {
    Standard_Boolean pointfound = Standard_False;

    // 
    gp_Pnt aPoint = myCurve.Value(aCurPar);
    Extrema_GenLocateExtPS anExtrema(aPoint, mySurface, U, V, 1.e-10, 1.e-10);

    if(anExtrema.IsDone()) {
      if(anExtrema.Value() < myCriteria) {
      Extrema_POnSurf aPOnSurf = anExtrema.Point();
      aPOnSurf.Parameter(U, V);
      pointfound = Standard_True;
      }
    }
    else {
      pointfound = (Distance(aCurPar) < myCriteria);
    }
    
    if(pointfound) {
      aPrevPar = aCurPar;
      anotherSolutionFound = Standard_True;

      if(BoundaryCondition && (isboundaryindex || !isvalidindex))
      break;
    }
    else {
      aDeltaRestrictor = aDelta;
    }

    // if point found decide to increase aDelta using derivative of distance function
    //

    aDelta = (pointfound) ? (aDelta * 2.) : (aDelta * 0.5);
    aDelta = (aDelta < aDeltaRestrictor) ? aDelta : aDeltaRestrictor;
    
    aCurPar = (ToIncreaseParameter) ? (aPrevPar + aDelta) : (aPrevPar - aDelta);


    // prevent infinite loop when (aPrevPar +/- aDelta) == aPrevPar == 0.
    //

    if( aCurPar == aPrevPar )
      break;

    BoundaryCondition  = (ToIncreaseParameter) ? (aCurPar > aCurrentRange.Last()) : (aCurPar < aCurrentRange.First());

    isboundaryindex = Standard_False;
    isvalidindex = Standard_True;

    if(BoundaryCondition) {
      isboundaryindex = ((!ToIncreaseParameter && (aValidIndex == 1)) ||
                   (ToIncreaseParameter && (aValidIndex == myRangeManager.Length())));

      if(!isboundaryindex) {

      if(pointfound) {
        Standard_Integer aFlag = (ToIncreaseParameter) ? myRangeManager.Flag(aValidIndex + 1) : myRangeManager.Flag(aValidIndex - 1);

        if(aFlag==0) {      
          aValidIndex = (ToIncreaseParameter) ? (aValidIndex + 1) : (aValidIndex - 1);
          aCurrentRange = myRangeManager.Range(aValidIndex);

          if((ToIncreaseParameter && (aCurPar > aCurrentRange.Last())) ||
             (!ToIncreaseParameter && (aCurPar < aCurrentRange.First()))) {
            aCurPar = (aCurrentRange.First() + aCurrentRange.Last()) * 0.5;
            aDelta*=0.5;
          }
        }
        else {
          isvalidindex = Standard_False;
          aCurPar = (ToIncreaseParameter) ? aCurrentRange.Last() : aCurrentRange.First();
        }
      }
      }
      else {
      aCurPar = (ToIncreaseParameter) ? aCurrentRange.Last() : aCurrentRange.First();
      }      

      if(aDelta < tenOfMinDelta) {
      loopcounter++;
      }
      else {
      loopcounter = 0;
      }
    } // if(BoundaryCondition)
  }
  
  if(anotherSolutionFound) {
    if(ToIncreaseParameter)
      myRangeManager.InsertRange(theParameter, aPrevPar, 2);
    else
      myRangeManager.InsertRange(aPrevPar, theParameter, 2);
  }
}

// ---------------------------------------------------------------------------------
// static function: AdjustPeriodic
// purpose:  
// ---------------------------------------------------------------------------------
static Standard_Boolean AdjustPeriodic(const Standard_Real U, 
                               const Standard_Real UFirst,
                               const Standard_Real ULast,
                               const Standard_Real Period,
                               Standard_Real&      UResult) {
  UResult = U;
  Standard_Real u = U;
  Standard_Real Eps = Epsilon(Period);
  while (Eps < (UFirst-u)) u += Period;
  while (Eps > (ULast -u)) u -= Period;
  if ( u < UFirst) 
    return Standard_False;

  UResult = u;
  return Standard_True;
}

// ---------------------------------------------------------------------------------
// static function: SetEmptyResultRange
// purpose:  
// ---------------------------------------------------------------------------------
static Standard_Boolean SetEmptyResultRange(const Standard_Real      theParameter, 
                                  IntTools_MarkedRangeSet& theMarkedRange) {

  const TColStd_SequenceOfInteger& anIndices = theMarkedRange.GetIndices(theParameter);
  Standard_Boolean add = (anIndices.Length() > 0);
  
  for(Standard_Integer k = 1; k <= anIndices.Length(); k++) {
    if(theMarkedRange.Flag(anIndices(k)) == 2) {
      add = Standard_False;
      break;
    }
  }
  
  if(add) {
    theMarkedRange.InsertRange(theParameter, theParameter, 2);
  }
  
  return add;
}

// ---------------------------------------------------------------------------------
// static function: TestCoinside
// purpose:  
// ---------------------------------------------------------------------------------
// static Standard_Boolean TestClose(const Extrema_ExtPS & theExt,
//                                   const Standard_Real   theDist)
// {
//   Standard_Boolean close = Standard_False;
//   if(!theExt.IsDone() || theExt.NbExt() == 0)
//     return close;
//   else {
//     Standard_Integer ie;
//     for(ie = 1; ie <= theExt.NbExt(); ie++) {
//       Standard_Real dist = theExt.Value(ie);
//       if(dist <= theDist) {
//         close = Standard_True;
//         break;
//       }
//     }
//   }
//   return close;
// }

// Standard_Boolean TestCoinside(const BRepAdaptor_Curve&   theCurve,
//                               const BRepAdaptor_Surface& theSurface)
// {
//   Standard_Real cfp = theCurve.FirstParameter(), clp = theCurve.LastParameter();
//   Standard_Real cdp = fabs(clp - cfp) / 23.;

//   Standard_Integer i = 0;
//   Standard_Real tolE = theCurve.Tolerance(), tolF = theSurface.Tolerance();
//   Standard_Real tolT = tolE + tolF, tolU = 1.e-9, tolV = 1.e-9;
//   gp_Pnt aP;

//   theCurve.D0(cfp,aP);
//   Extrema_ExtPS eps(aP,theSurface,tolU,tolV);

//   if(!TestClose(eps,tolT))
//     return Standard_False;

//   theCurve.D0(clp,aP);
//   eps.Perform(aP);

//   if(!TestClose(eps,tolT))
//     return Standard_False;

//   Standard_Boolean close = Standard_True;

//   for(i = 1; i <= 22; i++) {
//     theCurve.D0((cfp+((Standard_Real)i)*cdp),aP);
//     eps.Perform(aP);
//     if(!TestClose(eps,tolT)) {
//       close = Standard_False;
//       break;
//     }
//   }
//   return close;
// }

// ======================================================================================================================
// function: LocalizeSolutions
// purpose: 
// ======================================================================================================================
Standard_Boolean IntTools_BeanFaceIntersector::LocalizeSolutions(const IntTools_CurveRangeSample& theCurveRange,
                                                 const Bnd_Box& theBoxCurve,
                                                 const IntTools_SurfaceRangeSample& theSurfaceRange,
                                                 const Bnd_Box& theBoxSurface,
                                                 IntTools_CurveRangeLocalizeData& theCurveData,
                                                 IntTools_SurfaceRangeLocalizeData& theSurfaceData,
                                                 IntTools_ListOfCurveRangeSample& theListCurveRange,
                                                 IntTools_ListOfSurfaceRangeSample& theListSurfaceRange) 
{
  Standard_Integer tIt = 0, uIt = 0, vIt = 0;

  // 
  IntTools_CurveRangeSample aRootRangeC(0);
  aRootRangeC.SetDepth(0);
  IntTools_SurfaceRangeSample aRootRangeS(0, 0, 0, 0);

  Bnd_Box aMainBoxC = theBoxCurve;
  Bnd_Box aMainBoxS = theBoxSurface;
  Standard_Boolean bMainBoxFoundS = Standard_False;
  Standard_Boolean bMainBoxFoundC = Standard_False;
  //
  IntTools_ListOfCurveRangeSample aListCurveRangeFound;
  IntTools_ListOfSurfaceRangeSample aListSurfaceRangeFound;


  IntTools_Range aRangeC = theCurveRange.GetRange(myFirstParameter, myLastParameter, theCurveData.GetNbSample());
  Standard_Real localdiffC = (aRangeC.Last() - aRangeC.First()) / theCurveData.GetNbSample();

  Standard_Real aCurPar = aRangeC.First();
  Standard_Real aPrevPar = aRangeC.First();
  Standard_Integer aCurIndexInit = theCurveRange.GetRangeIndexDeeper(theCurveData.GetNbSample());


  TColStd_ListOfInteger aListCToAvoid;
  Standard_Boolean bGlobalCheckDone = Standard_False;
  //

  //

  Standard_Integer aCurIndexU = theSurfaceRange.GetRangeIndexUDeeper(theSurfaceData.GetNbSampleU());

  Standard_Integer aCurIndexVInit = theSurfaceRange.GetRangeIndexVDeeper(theSurfaceData.GetNbSampleV());
  IntTools_Range aRangeV = theSurfaceRange.GetRangeV(myVMinParameter, myVMaxParameter, theSurfaceData.GetNbSampleV());

  //
  IntTools_Range aRangeU = theSurfaceRange.GetRangeU(myUMinParameter, myUMaxParameter, theSurfaceData.GetNbSampleU());
  Standard_Real aCurParU = aRangeU.First();
  Standard_Real aLocalDiffU = (aRangeU.Last() - aRangeU.First()) / theSurfaceData.GetNbSampleU();

  Standard_Real aPrevParU = aCurParU;
  Standard_Real aLocalDiffV = (aRangeV.Last() - aRangeV.First()) / theSurfaceData.GetNbSampleV();


  // ranges check.begin
  Standard_Boolean bAllowSamplingC = Standard_True;
  Standard_Boolean bAllowSamplingU = Standard_True;
  Standard_Boolean bAllowSamplingV = Standard_True;

  // check
  CheckSampling(theCurveRange, theSurfaceRange, theCurveData, theSurfaceData,
            localdiffC, aLocalDiffU, aLocalDiffV,
            bAllowSamplingC, bAllowSamplingU, bAllowSamplingV);
  //

  if(!bAllowSamplingC && !bAllowSamplingU && !bAllowSamplingV) {
    theListCurveRange.Append(theCurveRange);
    theListSurfaceRange.Append(theSurfaceRange);
    return Standard_True;
  }
  // ranges check.end

  // init template. begin
  IntTools_CurveRangeSample aNewRangeCTemplate;

  if(!bAllowSamplingC) {
    aNewRangeCTemplate = theCurveRange;
    aCurIndexInit = theCurveRange.GetRangeIndex();
    localdiffC = (aRangeC.Last() - aRangeC.First());
  }
  else {
    aNewRangeCTemplate.SetDepth(theCurveRange.GetDepth() + 1);
    aNewRangeCTemplate.SetRangeIndex(aCurIndexInit);
  }

  IntTools_SurfaceRangeSample aNewRangeSTemplate = theSurfaceRange;

  if(bAllowSamplingU) {
    aNewRangeSTemplate.SetDepthU(theSurfaceRange.GetDepthU() + 1);
  }
  else {
    aCurIndexU = aNewRangeSTemplate.GetIndexU();
    aLocalDiffU = aRangeU.Last() - aRangeU.First();
  }

  if(bAllowSamplingV) {
    aNewRangeSTemplate.SetDepthV(theSurfaceRange.GetDepthV() + 1);
  }
  else {
    aCurIndexVInit = theSurfaceRange.GetIndexV();
    aLocalDiffV = aRangeV.Last() - aRangeV.First();
  }
  // init template. end  


  Standard_Boolean bHasOut = Standard_False;
  const Standard_Integer nbU = (bAllowSamplingU) ? theSurfaceData.GetNbSampleU() : 1;
  const Standard_Integer nbV = (bAllowSamplingV) ? theSurfaceData.GetNbSampleV() : 1;
  const Standard_Integer nbC = (bAllowSamplingC) ? theCurveData.GetNbSample() : 1;

  for(uIt = 1; uIt <= nbU; uIt++, aCurIndexU++, aPrevParU = aCurParU) {
    aCurParU += aLocalDiffU;
    

    Standard_Real aCurParV = aRangeV.First();
    Standard_Real aPrevParV = aCurParV;
    Standard_Integer aCurIndexV = aCurIndexVInit;

    Standard_Boolean bHasOutV = Standard_False;

    // ///////
    for(vIt = 1; vIt <= nbV; vIt++, aCurIndexV++, aPrevParV = aCurParV) {

      aCurParV += aLocalDiffV;


      // //////////////
      //
      IntTools_SurfaceRangeSample aNewRangeS = aNewRangeSTemplate;

      if(bAllowSamplingU) {
      aNewRangeS.SetIndexU(aCurIndexU);
      }

      if(bAllowSamplingV) {
      aNewRangeS.SetIndexV(aCurIndexV);
      }

      if(theSurfaceData.IsRangeOut(aNewRangeS)) {
      bHasOutV = Standard_True;
      continue;
      }

      // ///////

      Bnd_Box aBoxS;

      if(!theSurfaceData.FindBox(aNewRangeS, aBoxS)) {

      if(mySurface.GetType() == GeomAbs_BSplineSurface) {
//    if(Standard_False ) {
        Handle(Geom_BSplineSurface) aSurfBspl = Handle(Geom_BSplineSurface)::DownCast(myTrsfSurface);
        aBoxS = GetSurfaceBox(aSurfBspl, aPrevParU, aCurParU, aPrevParV, aCurParV, myCriteria, theSurfaceData);
      }
      else {
        BndLib_AddSurface::Add(mySurface, aPrevParU, aCurParU, aPrevParV, aCurParV, myCriteria, aBoxS);
      }
//    Bnd_Box aMainBoxC;

      if(!bMainBoxFoundC && theCurveData.FindBox(aRootRangeC, aMainBoxC)) {
        bMainBoxFoundC = Standard_True;
      }

        if(aBoxS.IsOut(aMainBoxC)) {
          theSurfaceData.AddOutRange(aNewRangeS);
          bHasOutV = Standard_True;
          continue;
        }
//    }
      theSurfaceData.AddBox(aNewRangeS, aBoxS);
      }
      
      if(aBoxS.IsOut(theBoxCurve)) {
      bHasOutV = Standard_True;
      continue;
      }

      IntTools_ListOfBox aListOfBox;
      TColStd_ListOfInteger aListOfIndex;

      Standard_Boolean bHasOutC = Standard_False;
      Standard_Integer aCurIndex = aCurIndexInit;

      // ////////////////////////////
      aCurPar = aRangeC.First();
      aPrevPar = aRangeC.First();
      IntTools_CurveRangeSample aCurRangeC = aNewRangeCTemplate;

      for (tIt = 1; tIt <= nbC; tIt++, aCurIndex++, aPrevPar = aCurPar) {

      aCurPar += localdiffC;

      // ignore already computed. begin
      Standard_Boolean bFound = Standard_False;
      TColStd_ListIteratorOfListOfInteger anItToAvoid(aListCToAvoid);

      for(; anItToAvoid.More(); anItToAvoid.Next()) {
        if(tIt == anItToAvoid.Value()) {
          bFound = Standard_True;
          break;
        }
      }

      if(!bFound) {
        if(bAllowSamplingC) {
          aCurRangeC.SetRangeIndex(aCurIndex);
        }
        bFound = theCurveData.IsRangeOut(aCurRangeC);
      }

      if(bFound) {
        bHasOutC = Standard_True;
        continue;
      }
      // ignore already computed. end

      // compute Box
      Bnd_Box aBoxC;

      if(!theCurveData.FindBox(aCurRangeC, aBoxC)) {
        BndLib_Add3dCurve::Add(myCurve, aPrevPar, aCurPar, myCriteria, aBoxC);

//      Bnd_Box aMainBoxS;

        if(!bMainBoxFoundS && theSurfaceData.FindBox(aRootRangeS, aMainBoxS)) {
          bMainBoxFoundS = Standard_True;
        }
          if(aBoxC.IsOut(aMainBoxS)) {
            theCurveData.AddOutRange(aCurRangeC);
            bHasOutC = Standard_True;
            continue;
          }
//      }
        theCurveData.AddBox(aCurRangeC, aBoxC);
      }

      if(!bGlobalCheckDone && aBoxC.IsOut(theBoxSurface)) {
        aListCToAvoid.Append(tIt);
        bHasOutC = Standard_True;
        continue;
      }

      if(aBoxC.IsOut(aBoxS)) {
        bHasOutV = Standard_True;
        bHasOutC = Standard_True;
        continue;
      }
      //

      aListOfIndex.Append(tIt);
      aListOfBox.Append(aBoxC);
      } // end for(tIt...)

      bGlobalCheckDone = Standard_True;

      if(bHasOutC) {
      bHasOutV = Standard_True;
      }

      // //////////////
      //

      IntTools_CurveRangeSample aNewRangeC = aNewRangeCTemplate;

      aCurIndex = aCurIndexInit;
      TColStd_ListIteratorOfListOfInteger anItI(aListOfIndex);
      IntTools_ListIteratorOfListOfBox anItBox(aListOfBox);
      Standard_Boolean bUseOldC = Standard_False;
      Standard_Boolean bUseOldS = Standard_False;
      Standard_Boolean bCheckSize = !bHasOutC;

      for(; anItI.More() && anItBox.More(); anItI.Next(), anItBox.Next()) {
      aCurIndex = aCurIndexInit + anItI.Value() - 1;

      bUseOldS = Standard_False;

      if(bAllowSamplingC) {
        aNewRangeC.SetRangeIndex(aCurIndex);
      }


      if(bCheckSize) {

        if((theCurveRange.GetDepth() == 0) ||
           (theSurfaceRange.GetDepthU() == 0) ||
           (theSurfaceRange.GetDepthV() == 0)) {
          bHasOutC = Standard_True;
          bHasOutV = Standard_True;
        }
        else if((theCurveRange.GetDepth() < 4) &&
              (theSurfaceRange.GetDepthU() < 4) &&
              (theSurfaceRange.GetDepthV() < 4)) {
          Bnd_Box aBoxC = anItBox.Value();

          if(!aBoxC.IsWhole() && !aBoxS.IsWhole()) {
            Standard_Real aDiagC = aBoxC.SquareExtent();
            Standard_Real aDiagS = aBoxS.SquareExtent();

            if(aDiagC < aDiagS) {
            if((aDiagC * 10.) < aDiagS) {
              bUseOldC = Standard_True;
              bHasOutC = Standard_True;
              bHasOutV = Standard_True;
              break;
            }
            }
            else {
            if((aDiagS * 10.) < aDiagC) {
              bUseOldS = Standard_True;
              bHasOutC = Standard_True;
              bHasOutV = Standard_True;
            }
            }
          }
        }
      }


      if(!bHasOutC) {
        aListCurveRangeFound.Append(aNewRangeC);
        aListSurfaceRangeFound.Append(aNewRangeS);
      }
      else {

//      if(bUseOldS || bAllowSamplingU || bAllowSamplingV) {
//        theSurfaceData.AddBox(aNewRangeS, aBoxS);
//      }

        if(!LocalizeSolutions(aNewRangeC, anItBox.Value(), 
                        ((bUseOldS) ? theSurfaceRange : aNewRangeS), 
                        ((bUseOldS) ? theBoxSurface : aBoxS),
                        theCurveData, theSurfaceData,
                        theListCurveRange, theListSurfaceRange))
          return Standard_False;
      }
      }
      // end (tIt...)
      aListOfIndex.Clear();
      aListOfBox.Clear();

      if(bHasOutV) {
//    theSurfaceData.AddBox(aNewRangeS, aBoxS);

      if(bUseOldC && bAllowSamplingC && (bAllowSamplingU || bAllowSamplingV)) {
        if(!LocalizeSolutions(theCurveRange, theBoxCurve,
                        aNewRangeS, aBoxS, 
                        theCurveData, theSurfaceData,
                        theListCurveRange, theListSurfaceRange))
          return Standard_False;
      }
      }
    } // end for (vIt...)

    if(bHasOutV) {
      bHasOut = Standard_True;
    }
  }

  if(!bHasOut) {
    theListCurveRange.Append(theCurveRange);
    theListSurfaceRange.Append(theSurfaceRange);    
  }
  else {
    IntTools_ListIteratorOfListOfCurveRangeSample anIt1(aListCurveRangeFound);
    IntTools_ListIteratorOfListOfSurfaceRangeSample anIt2(aListSurfaceRangeFound);

    for(; anIt1.More() && anIt2.More(); anIt1.Next(), anIt2.Next()) {
      theListCurveRange.Append(anIt1.Value());
      theListSurfaceRange.Append(anIt2.Value());
    }
  }
  return Standard_True;
}


// ======================================================================================================================
// function: ComputeLocalized
// purpose: 
// ======================================================================================================================
Standard_Boolean IntTools_BeanFaceIntersector::ComputeLocalized() {
  Standard_Real Tol = Precision::PConfusion();

  IntTools_SurfaceRangeSample aSurfaceRange(0, 0, 0, 0);
  Standard_Real dMinU = 10. * Precision::PConfusion();
  Standard_Real dMinV = dMinU;
  IntTools_SurfaceRangeLocalizeData aSurfaceDataInit(3, 3, dMinU, dMinV);
  IntTools_SurfaceRangeLocalizeData& aSurfaceData = (myContext) ? myContext->SurfaceData(mySurface.Face()) : aSurfaceDataInit;
  aSurfaceData.RemoveRangeOutAll();
  aSurfaceData.ClearGrid();

  Bnd_Box FBox;
  Standard_Boolean bFBoxFound = aSurfaceData.FindBox(aSurfaceRange, FBox);

  if(mySurface.GetType() == GeomAbs_BSplineSurface) {
    Handle(Geom_BSplineSurface) aSurfBspl = Handle(Geom_BSplineSurface)::DownCast(myTrsfSurface);

    ComputeGridPoints(aSurfBspl, myUMinParameter, myUMaxParameter,
                  myVMinParameter, myVMaxParameter, myCriteria,
                  aSurfaceData);

    if(!bFBoxFound) {
      FBox = GetSurfaceBox(aSurfBspl, myUMinParameter, myUMaxParameter,
                     myVMinParameter, myVMaxParameter, myCriteria,
                     aSurfaceData);
      aSurfaceData.AddBox(aSurfaceRange, FBox);
    }

  } else if(!bFBoxFound) {
    
    BndLib_AddSurface::Add(mySurface, myUMinParameter, myUMaxParameter, myVMinParameter, myVMaxParameter, myFaceTolerance, FBox);
    aSurfaceData.AddBox(aSurfaceRange, FBox);
  }

  Bnd_Box EBox;

  BndLib_Add3dCurve::Add(myCurve.Trim(myFirstParameter, myLastParameter, Precision::PConfusion())->Curve(), myBeanTolerance, EBox);

  if(EBox.IsOut(FBox)) {
    for(Standard_Integer i = 1; i <= myRangeManager.Length(); i++) {
      myRangeManager.SetFlag(i, 1);
    }
    aSurfaceData.ClearGrid();

    return Standard_True;
  }
  
  IntTools_ListOfCurveRangeSample aListCurveRange;
  IntTools_ListOfSurfaceRangeSample aListSurfaceRange;
  
  IntTools_CurveRangeSample aCurveRange(0);
  aCurveRange.SetDepth(0);
  Standard_Integer nbSampleC = 3;
  Standard_Integer nbSampleU = aSurfaceData.GetNbSampleU();
  Standard_Integer nbSampleV = aSurfaceData.GetNbSampleV();
  Standard_Real dMinC = 10. * myCurveResolution;
  IntTools_ListOfCurveRangeSample aListOut;

  // check
  Standard_Boolean bAllowSamplingC = Standard_True;
  Standard_Boolean bAllowSamplingU = Standard_True;
  Standard_Boolean bAllowSamplingV = Standard_True;
  IntTools_CurveRangeLocalizeData aCurveDataTmp(nbSampleC, dMinC);
  IntTools_SurfaceRangeLocalizeData aSurfaceDataTmp(nbSampleU, nbSampleV, dMinU, dMinV);
  
  CheckSampling(aCurveRange, aSurfaceRange, aCurveDataTmp, aSurfaceDataTmp,
            myLastParameter - myFirstParameter,
            myUMaxParameter - myUMinParameter,
            myVMaxParameter - myVMinParameter,
            bAllowSamplingC, bAllowSamplingU, bAllowSamplingV);


  {
    IntTools_CurveRangeLocalizeData aCurveData(nbSampleC, dMinC);

    aCurveData.AddBox(aCurveRange, EBox);
    
    if(!LocalizeSolutions(aCurveRange, EBox, aSurfaceRange, FBox, 
                    aCurveData, aSurfaceData,
                    aListCurveRange, aListSurfaceRange)) {
      aSurfaceData.ClearGrid();

      return Standard_False;
    }

    IntTools_ListOfCurveRangeSample aListCurveRangeSort;
    IntTools_ListOfSurfaceRangeSample aListSurfaceRangeSort;

    MergeSolutions(aListCurveRange, aListSurfaceRange, aListCurveRangeSort, aListSurfaceRangeSort);

    IntTools_ListIteratorOfListOfCurveRangeSample anItC(aListCurveRangeSort);
    IntTools_ListIteratorOfListOfSurfaceRangeSample anItS(aListSurfaceRangeSort);
    IntTools_SurfaceRangeSample aRangeSPrev;

    Extrema_GenExtCS anExtremaGen;

    for(; anItC.More() && anItS.More(); anItC.Next(), anItS.Next()) {

      IntTools_Range aRangeC(myFirstParameter, myLastParameter);

      if(bAllowSamplingC) 
      aRangeC = anItC.Value().GetRange(myFirstParameter, myLastParameter, nbSampleC);

      IntTools_Range aRangeU(myUMinParameter, myUMaxParameter);

      if(bAllowSamplingU) 
      aRangeU = anItS.Value().GetRangeU(myUMinParameter, myUMaxParameter, nbSampleU);

      IntTools_Range aRangeV(myVMinParameter, myVMaxParameter);

      if(bAllowSamplingV) 
      aRangeV = anItS.Value().GetRangeV(myVMinParameter, myVMaxParameter, nbSampleV);

      Standard_Real anarg1 = aRangeC.First(), anarg2 = aRangeC.Last();

      Standard_Boolean bFound = Standard_False;

      Standard_Integer nMinIndex = myRangeManager.Length();
      Standard_Integer nMaxIndex = -1;
      const TColStd_SequenceOfInteger& anInds1 = myRangeManager.GetIndices(anarg1);
      Standard_Integer indIt = 1;

      for(indIt = 1 ; indIt <= anInds1.Length(); indIt++) {
      Standard_Integer nIndex = anInds1.Value(indIt);
      nMinIndex = (nMinIndex > nIndex) ? nIndex : nMinIndex;
      nMaxIndex = (nMaxIndex < nIndex) ? nIndex : nMaxIndex;
      }

      for(indIt = nMinIndex ; indIt <= nMaxIndex; indIt++) {
      if(myRangeManager.Flag(indIt) == 2) {
        bFound = Standard_True;
        break;
      }
      }

      if(bFound)
      continue;
      nMinIndex = (nMaxIndex >= 0) ? nMaxIndex : nMinIndex;
      const TColStd_SequenceOfInteger& anInds2 = myRangeManager.GetIndices(anarg2);
    
      for(indIt = 1 ; indIt <= anInds2.Length(); indIt++) {
      Standard_Integer nIndex = anInds2.Value(indIt);
      nMinIndex = (nMinIndex > nIndex) ? nIndex : nMinIndex;
      nMaxIndex = (nMaxIndex < nIndex) ? nIndex : nMaxIndex;
      }

      for(indIt = nMinIndex ; indIt <= nMaxIndex; indIt++) {
      if(myRangeManager.Flag(indIt) == 2) {
        bFound = Standard_True;
        break;
      }
      }

      if(bFound)
      continue;
        
      Standard_Real parUF = aRangeU.First(), parUL = aRangeU.Last();
      Standard_Real parVF = aRangeV.First(), parVL = aRangeV.Last();

      if(aRangeSPrev.IsEqual(anItS.Value())) {
      anExtremaGen.Perform(myCurve, 10, anarg1, anarg2, Tol);
      }
      else {
      anExtremaGen.Initialize(mySurface, 10, 10, parUF, parUL, parVF, parVL, Tol);
      anExtremaGen.Perform(myCurve, 10, anarg1, anarg2, Tol);
      }

      if(anExtremaGen.IsDone() && (anExtremaGen.NbExt() > 0)) {

      for(Standard_Integer j = 1 ; j <= anExtremaGen.NbExt(); j++) {

        if(anExtremaGen.Value(j) < myCriteria) {

          Extrema_POnCurv p1;
          Extrema_POnSurf p2;
          p1 = anExtremaGen.PointOnCurve(j);
          p2 = anExtremaGen.PointOnSurface(j);
          Standard_Real U, V, T;
          T = p1.Parameter();
          p2.Parameter(U, V);
        
          if (myCurve.IsPeriodic())
            T = ElCLib::InPeriod(T, anarg1, anarg1 + myCurve.Period());
          if (mySurface.IsUPeriodic())
            U = ElCLib::InPeriod(U, parUF, parUF + mySurface.UPeriod());
          if (mySurface.IsVPeriodic())
            V = ElCLib::InPeriod(V, parVF, parVF + mySurface.VPeriod());

          //To avoid occasional going out of boundaries because of numerical
          //problem
          if(U < myUMinParameter) U = myUMinParameter;
          if(U > myUMaxParameter) U = myUMaxParameter;
          if(V < myVMinParameter) U = myVMinParameter;
          if(V > myVMaxParameter) U = myVMaxParameter;

          Standard_Integer aNbRanges = myRangeManager.Length();
          ComputeRangeFromStartPoint(Standard_False, T, U, V);
          ComputeRangeFromStartPoint(Standard_True, T, U, V);

          if(aNbRanges == myRangeManager.Length()) {
            SetEmptyResultRange(T, myRangeManager);
          }
        }
      } //end for
      }
      else {
      myRangeManager.InsertRange(anarg1, anarg2, 0);
      }
    
      aRangeSPrev = anItS.Value();
    }

    //
    aCurveData.ListRangeOut(aListOut);
  }

  //
  if(bAllowSamplingC) {
    IntTools_ListIteratorOfListOfCurveRangeSample anItC(aListOut);

    for(; anItC.More(); anItC.Next()) {
      IntTools_Range aRangeC =anItC.Value().GetRange(myFirstParameter, myLastParameter, nbSampleC);
      myRangeManager.InsertRange(aRangeC.First(), aRangeC.Last(), 1);
    }
  }
  ComputeNearRangeBoundaries();

  aSurfaceData.ClearGrid();

  return Standard_True;
}

// ======================================================================================================================
// function: TestComputeCoinside
// purpose: 
// ======================================================================================================================
Standard_Boolean IntTools_BeanFaceIntersector::TestComputeCoinside()
{
  Standard_Real cfp = myFirstParameter, clp = myLastParameter;
  const Standard_Integer nbSeg = 23;
  Standard_Real cdp = (clp - cfp) / (Standard_Real )nbSeg;

  Standard_Integer i = 0;

  Standard_Real U, V;

  if(Distance(cfp, U, V) > myCriteria)
    return Standard_False;

  //
  ComputeRangeFromStartPoint(Standard_True, cfp, U, V);
  //

  Standard_Integer aFoundIndex = myRangeManager.GetIndex(clp, Standard_False );

  if(aFoundIndex != 0) {
    if(myRangeManager.Flag(aFoundIndex) == 2)
      return Standard_True;
  }

  if(Distance(clp, U, V) > myCriteria)
    return Standard_False;

  //
  ComputeRangeFromStartPoint(Standard_False, clp, U, V);
  //

  for(i = 1; i < nbSeg; i++) {
    Standard_Real aPar = (cfp+((Standard_Real)i)*cdp);

    if(Distance(aPar, U, V) > myCriteria) 
      return Standard_False;

    Standard_Integer aNbRanges = myRangeManager.Length();
    ComputeRangeFromStartPoint(Standard_False, aPar, U, V);
    ComputeRangeFromStartPoint(Standard_True, aPar, U, V);

    if(aNbRanges == myRangeManager.Length()) {
      SetEmptyResultRange(aPar, myRangeManager);
    }
  }

  return Standard_True;
}

//  Modified by skv - Wed Nov  2 15:21:11 2005 Optimization Begin
// ---------------------------------------------------------------------------------
// static function: GetSurfaceBox
// purpose:  
// ---------------------------------------------------------------------------------
Bnd_Box GetSurfaceBox(const Handle(Geom_BSplineSurface)        &theSurf,
                  const Standard_Real                       theFirstU,
                  const Standard_Real                       theLastU,
                  const Standard_Real                       theFirstV,
                  const Standard_Real                       theLastV,
                  const Standard_Real                       theTolerance,
                        IntTools_SurfaceRangeLocalizeData  &theSurfaceData)
{
  Bnd_Box              aTotalBox;

  BuildBox(theSurf, theFirstU, theLastU, theFirstV, theLastV,
         theSurfaceData, aTotalBox);

  aTotalBox.Enlarge(theTolerance);
  return aTotalBox;
}


// ---------------------------------------------------------------------------------
// static function: ComputeGridPoints
// purpose:  
// ---------------------------------------------------------------------------------
void ComputeGridPoints
               (const Handle(Geom_BSplineSurface)       &theSurf,
            const Standard_Real                      theFirstU,
            const Standard_Real                      theLastU,
            const Standard_Real                      theFirstV,
            const Standard_Real                      theLastV,
            const Standard_Real                      theTolerance,
                  IntTools_SurfaceRangeLocalizeData &theSurfaceData)
{
  Standard_Integer     i;
  Standard_Integer     j;
  Standard_Integer     k;
  Standard_Integer     aNbSamples[2] = { theSurf->UDegree(),
                                         theSurf->VDegree() };
  Standard_Integer     aNbKnots[2]   = { theSurf->NbUKnots(),
                                         theSurf->NbVKnots() };
  TColStd_Array1OfReal aKnotsU(1, aNbKnots[0]);
  TColStd_Array1OfReal aKnotsV(1, aNbKnots[1]);

  theSurf->UKnots(aKnotsU);
  theSurf->VKnots(aKnotsV);

  Standard_Integer iLmI;
  Standard_Integer iMin[2]   = { -1, -1 };
  Standard_Integer iMax[2]   = { -1, -1 };
  Standard_Integer aNbGridPnts[2];
  Standard_Real    aFPar[2]  = { theFirstU, theFirstV};
  Standard_Real    aLPar[2]  = { theLastU,  theLastV};
  Standard_Real    aFpTol[2] = { aFPar[0] + theTolerance,
                                 aFPar[1] + theTolerance };
  Standard_Real    aFmTol[2] = { aFPar[0] - theTolerance,
                                 aFPar[1] - theTolerance };
  Standard_Real    aLpTol[2] = { aLPar[0] + theTolerance,
                                 aLPar[1] + theTolerance };
  Standard_Real    aLmTol[2] = { aLPar[0] - theTolerance,
                                 aLPar[1] - theTolerance };


  // Compute number of U and V grid points.
  for (j = 0; j < 2; j++) {
    const TColStd_Array1OfReal &aKnots = (j == 0) ? aKnotsU : aKnotsV;

    for (i = 1; i <= aNbKnots[j] && (iMin[j] == -1 || iMax[j] == -1); i++) {
      if (iMin[j] == -1 && aFpTol[j] < aKnots.Value(i))
      iMin[j] = i - 1;

      iLmI = aNbKnots[j] - i + 1;

      if (iMax[j] == -1 && aLmTol[j] > aKnots.Value(iLmI))
      iMax[j] = iLmI + 1;
    }

    // If indices are not found, return.
    if (iMin[j] == -1 || iMax[j] == -1)
      return;

    if (iMin[j] == 0)
      iMin[j] = 1;

    if (iMax[j] > aNbKnots[j])
      iMax[j] = aNbKnots[j];

    if (iMax[j] <= iMin[j])
      return;

    aNbGridPnts[j] = (iMax[j] - iMin[j])*aNbSamples[j] + 1;

  // Setting the number of grid points.
    if (j == 0)
      theSurfaceData.SetRangeUGrid(aNbGridPnts[j]);
    else // j == 1
      theSurfaceData.SetRangeVGrid(aNbGridPnts[j]);

    // Setting the first and last parameters.
    Standard_Integer iAbs    = 1;
    Standard_Real    aMinPar;
    Standard_Real    aMaxPar = (j == 0) ? theLastU : theLastV;

    for (i = iMin[j]; i < iMax[j]; i++) {
      // Get the first parameter.
      if (i == iMin[j]) {
      // The first knot.
      if (aFmTol[j] > aKnots.Value(iMin[j]))
        aMinPar = aFPar[j];
      else
        aMinPar = aKnots.Value(iMin[j]);
      } else {
      aMinPar = aKnots.Value(i);
      }

      // Get the last parameter.
      if (i == iMax[j] - 1) {
      // The last knot.
      if (aLpTol[j] < aKnots.Value(iMax[j]))
        aMaxPar = aLPar[j];
      else
        aMaxPar = aKnots.Value(iMax[j]);
      } else {
      aMaxPar = aKnots.Value(i + 1);
      }

      // Compute grid parameters.
      Standard_Real aDelta = (aMaxPar - aMinPar)/aNbSamples[j];

      for (k = 0; k < aNbSamples[j]; k++, aMinPar += aDelta) {
      if (j == 0)
        theSurfaceData.SetUParam(iAbs++, aMinPar);
      else
        theSurfaceData.SetVParam(iAbs++, aMinPar);
      }
    }

    // Add the last parameter
    if (j == 0)
      theSurfaceData.SetUParam(iAbs++, aMaxPar);
    else
      theSurfaceData.SetVParam(iAbs++, aMaxPar);
  }

  // Compute of grid points.
  gp_Pnt        aPnt;
  Standard_Real aParU;
  Standard_Real aParV;

  for (i = 1; i <= aNbGridPnts[0]; i++) {
    aParU = theSurfaceData.GetUParam(i);

    for (j = 1; j <= aNbGridPnts[1]; j++) {
      aParV = theSurfaceData.GetVParam(j);

      theSurf->D0(aParU, aParV, aPnt);
      theSurfaceData.SetGridPoint(i, j, aPnt);
    }
  }

  // Compute deflection.
  Standard_Real aDef = 0.;
//   Standard_Real aDefLin;
//   Standard_Real aParMid;
//   Standard_Real aParConst;
//   Standard_Real aDistPP;
//   gp_Pnt        aPntMid;
//   gp_Vec        aVec;
//   gp_XYZ        aCoord;

//   // Compute DU deflection.
//   for (i = 1; i < aNbGridPnts[0]; i++) {
//     aParMid = 0.5*(theSurfaceData.GetUParam(i + 1) +
//             theSurfaceData.GetUParam(i));

//     for (j = 1; j <= aNbGridPnts[1]; j++) {
//       const gp_Pnt &thePnt1 = theSurfaceData.GetGridPoint(i,     j);
//       const gp_Pnt &thePnt2 = theSurfaceData.GetGridPoint(i + 1, j);

//       aVec.SetXYZ(thePnt2.XYZ().Subtracted(thePnt1.XYZ()));
//       aDistPP = aVec.Magnitude();

//       if (aDistPP > theTolerance) {
//    // Computation of a distance of a middle point from the line P1 - P2.
//    aParConst = theSurfaceData.GetVParam(j);
//    theSurf->D0(aParMid, aParConst, aPntMid);
//    aCoord = aPntMid.XYZ();
//    aCoord.Subtract(thePnt1.XYZ());
//    aCoord.Cross (aVec.XYZ());
//    aCoord.Divide(aDistPP);
//    aDefLin = aCoord.Modulus();

//    if (aDefLin > aDef)
//      aDef = aDefLin;
//       }
//     }
//   }

//   // Compute DV deflection.
//   for (j = 1; j < aNbGridPnts[1]; j++) {
//     aParMid = 0.5*(theSurfaceData.GetVParam(j + 1) +
//             theSurfaceData.GetVParam(j));

//     for (i = 1; i <= aNbGridPnts[0]; i++) {
//       const gp_Pnt &thePnt1 = theSurfaceData.GetGridPoint(i, j);
//       const gp_Pnt &thePnt2 = theSurfaceData.GetGridPoint(i, j + 1);

//       aVec.SetXYZ(thePnt2.XYZ().Subtracted(thePnt1.XYZ()));
//       aDistPP = aVec.Magnitude();

//       if (aDistPP > theTolerance) {
//    // Computation of a distance of a middle point from the line P1 - P2.
//    aParConst = theSurfaceData.GetUParam(i);
//    theSurf->D0(aParConst, aParMid, aPntMid);
//    aCoord = aPntMid.XYZ();
//    aCoord.Subtract(thePnt1.XYZ());
//    aCoord.Cross (aVec.XYZ());
//    aCoord.Divide(aDistPP);
//    aDefLin = aCoord.Modulus();

//    if (aDefLin > aDef)
//      aDef = aDefLin;
//       }
//     }
//   }

  if (theTolerance > aDef)
    aDef = theTolerance;

  aDef *= 2.;
  theSurfaceData.SetGridDeflection(aDef);
}

// ---------------------------------------------------------------------------------
// static function: BuildBox
// purpose:  Compute bounding box.
// ---------------------------------------------------------------------------------
void BuildBox(const Handle(Geom_BSplineSurface)       &theSurf,
            const Standard_Real                      theFirstU,
            const Standard_Real                      theLastU,
            const Standard_Real                      theFirstV,
            const Standard_Real                      theLastV,
                  IntTools_SurfaceRangeLocalizeData &theSurfaceData,
                Bnd_Box                           &theBox)
{
  Standard_Integer i;
  Standard_Integer j;
  Standard_Integer aNbUPnts;
  Standard_Integer aNbVPnts;
  Standard_Real    aParam;
  gp_Pnt           aPnt;

  theSurfaceData.SetFrame(theFirstU, theLastU, theFirstV, theLastV);
  aNbUPnts = theSurfaceData.GetNBUPointsInFrame();
  aNbVPnts = theSurfaceData.GetNBVPointsInFrame();

  // Add corner points.
  theSurf->D0(theFirstU, theFirstV, aPnt);
  theBox.Add(aPnt);
  theSurf->D0(theLastU,  theFirstV, aPnt);
  theBox.Add(aPnt);
  theSurf->D0(theFirstU, theLastV, aPnt);
  theBox.Add(aPnt);
  theSurf->D0(theLastU,  theLastV, aPnt);
  theBox.Add(aPnt);

  for (i = 1; i <= aNbUPnts; i++) {
    // Add top and bottom points.
    aParam = theSurfaceData.GetUParamInFrame(i);
    theSurf->D0(aParam, theFirstV, aPnt);
    theBox.Add(aPnt);
    theSurf->D0(aParam, theLastV, aPnt);
    theBox.Add(aPnt);

    // Add internal points.
    for (j = 1; j <= aNbVPnts; j++) {
      const gp_Pnt &aGridPnt = theSurfaceData.GetPointInFrame(i, j);

      theBox.Add(aGridPnt);
    }
  }

  // Add left and right points.
  for (j = 1; j <= aNbVPnts; j++) {
    aParam = theSurfaceData.GetVParamInFrame(j);
    theSurf->D0(theFirstU, aParam, aPnt);
    theBox.Add(aPnt);
    theSurf->D0(theLastU,  aParam, aPnt);
    theBox.Add(aPnt);
  }

  theBox.Enlarge(theSurfaceData.GetGridDeflection());
}
//  Modified by skv - Wed Nov  2 15:21:11 2005 Optimization End


// ---------------------------------------------------------------------------------
// static function: MergeSolutions
// purpose:  
// ---------------------------------------------------------------------------------
static void MergeSolutions(const IntTools_ListOfCurveRangeSample& theListCurveRange,
                     const IntTools_ListOfSurfaceRangeSample& theListSurfaceRange,
                     IntTools_ListOfCurveRangeSample& theListCurveRangeSort,
                     IntTools_ListOfSurfaceRangeSample& theListSurfaceRangeSort) {

  IntTools_ListIteratorOfListOfCurveRangeSample anItC2;
  IntTools_ListIteratorOfListOfSurfaceRangeSample anItS1(theListSurfaceRange), anItS2;
  IntTools_MapOfSurfaceSample aMapToAvoid;

  for(; anItS1.More(); anItS1.Next()) {
    const IntTools_SurfaceRangeSample& aRangeS = anItS1.Value();

    if(aMapToAvoid.Contains(aRangeS))
      continue;
    aMapToAvoid.Add(aRangeS);

    anItC2.Initialize(theListCurveRange);
    anItS2.Initialize(theListSurfaceRange);

    for(; anItS2.More() && anItC2.More(); anItS2.Next(), anItC2.Next()) {
      if(aRangeS.IsEqual(anItS2.Value())) {
      theListCurveRangeSort.Append(anItC2.Value());
      theListSurfaceRangeSort.Append(anItS2.Value());
      }
    }
  }
}

// ---------------------------------------------------------------------------------
// static function: CheckSampling
// purpose:  
// ---------------------------------------------------------------------------------
static void CheckSampling(const IntTools_CurveRangeSample& theCurveRange,
                    const IntTools_SurfaceRangeSample& theSurfaceRange,
                    const IntTools_CurveRangeLocalizeData& theCurveData,
                    const IntTools_SurfaceRangeLocalizeData& theSurfaceData,
                    const Standard_Real DiffC,
                    const Standard_Real DiffU,
                    const Standard_Real DiffV,
                    Standard_Boolean& bAllowSamplingC,
                    Standard_Boolean& bAllowSamplingU,
                    Standard_Boolean& bAllowSamplingV) {

  const Standard_Real dLimit = 1000;
  bAllowSamplingC = Standard_True;
  bAllowSamplingU = Standard_True;
  bAllowSamplingV = Standard_True;

  // check
  if((pow((Standard_Real)theCurveData.GetNbSample(), (Standard_Real )(theCurveRange.GetDepth() + 1)) > dLimit) ||
     ((DiffC / theCurveData.GetNbSample()) < theCurveData.GetMinRange())) {
    bAllowSamplingC = Standard_False;
  }

  if((pow((Standard_Real )theSurfaceData.GetNbSampleU(), (Standard_Real )(theSurfaceRange.GetDepthU() + 1)) > dLimit) ||
     ((DiffU / theSurfaceData.GetNbSampleU()) < theSurfaceData.GetMinRangeU())) {
    bAllowSamplingU = Standard_False;
  }
  

  if((pow((Standard_Real )theSurfaceData.GetNbSampleV(), (Standard_Real )(theSurfaceRange.GetDepthV() + 1)) > dLimit) ||
     ((DiffV / theSurfaceData.GetNbSampleV()) < theSurfaceData.GetMinRangeV())) {
    bAllowSamplingV = Standard_False;
  }
}

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