[occt.git] / src / IntWalk / IntWalk_IWalking_4.gxx

// Copyright (c) 1995-1999 Matra Datavision
// Copyright (c) 1999-2014 OPEN CASCADE SAS
//
// This file is part of Open CASCADE Technology software library.
//
// This library is free software; you can redistribute it and/or modify it under
// the terms of the GNU Lesser General Public License version 2.1 as published
// by the Free Software Foundation, with special exception defined in the file
// OCCT_LGPL_EXCEPTION.txt. Consult the file LICENSE_LGPL_21.txt included in OCCT
// distribution for complete text of the license and disclaimer of any warranty.
//
// Alternatively, this file may be used under the terms of Open CASCADE
// commercial license or contractual agreement.

#include <NCollection_IncAllocator.hxx>

void IntWalk_IWalking::ComputeCloseLine(const TColStd_SequenceOfReal& Umult,
					const TColStd_SequenceOfReal& Vmult,
					const ThePOPIterator& Pnts1,
					const ThePOLIterator& Pnts2,
					TheIWFunction& Func,
                                        Standard_Boolean& Rajout )
// *********** Processing of closed line **********************
//
// for any interior non-processed point 
//       calculate the step of advancement=step depending on the arrow and max step
//       calculate a point of approach (this point is on the tangent to the section
// of distance = no interior point)
//  conditions 
//            (all calculated points do not form a closed loop)  
//                              or                    
//            (all points do not form an open line going from 
//            one border of the domain to the other or from a point tangent
//            to the border or from 2 tangent points : single cases)
//  
//     frame the point of approach on borders if necessary
//     calculate the point
//     if point not found divide the step
//     test of stop    
//     calculate step depending on the arrow and the max step (stop possible)
//
// ******************************************************************** 
{
  Standard_Integer I,N = 0,SaveN = 0;
  Standard_Real aBornInf[2], aBornSup[2], aUVap[2];
  math_Vector BornInf(aBornInf,1,2), BornSup(aBornSup,1,2);
  math_Vector Uvap(aUVap,1,2);// parameters of current approach
  Standard_Real PasC;  // step of advancement on the tangent
  Standard_Real PasCu; // step of advancement current by U
  Standard_Real PasCv; // step of advancement current by V
  Standard_Real PasSav; // save first step of advancement
  Standard_Boolean Arrive;// show if line ends
  Standard_Boolean Cadre; // show if on border of the  domains
  Standard_Boolean ArretAjout; // show if on the added point
  IntSurf_PntOn2S Psol;
  Handle(IntWalk_TheIWLine)  CurrentLine; //line under construction
  ThePointOfPath PathPnt;
  ThePointOfLoop LoopPnt;

  Standard_Boolean Tgtbeg,Tgtend;

  Standard_Integer StepSign;
  
  IntWalk_StatusDeflection Status = IntWalk_OK, StatusPrecedent;
  Standard_Integer NbDivision ;   // number of divisions of step 
  // during calculation of  1 section

  Standard_Integer Ipass ;
  //index in the iterator of points on edge of point of passage  


  BornInf(1) = Um;
  BornSup(1) = UM;
  BornInf(2) = Vm;
  BornSup(2) = VM;
  
  math_FunctionSetRoot Rsnld(Func,tolerance);
  Standard_Integer nbLoop = Pnts2.Length();

  // Check borders for degeneracy:
  math_Matrix D(1,1,1,2);
  const Standard_Integer aNbSamplePnt = 10;
  Standard_Boolean isLeftDegeneratedBorder[2] = {Standard_True, Standard_True};
  Standard_Boolean isRightDegeneratedBorder[2] = {Standard_True, Standard_True};
  math_Vector aStep(1,2);
  aStep = (BornSup - BornInf) / (aNbSamplePnt - 1);
  for(Standard_Integer aBorderIdx = 1; aBorderIdx <= 2; aBorderIdx++)
  {
    Standard_Integer aChangeIdx = aBorderIdx == 2? 1 : 2;
    math_Vector UV(1,2);

    // Left border.
    UV(aBorderIdx) = BornInf(aBorderIdx);
    for(Standard_Integer aParamIdx = 0; aParamIdx < aNbSamplePnt; aParamIdx++)
    {
      Standard_Real aParam = BornInf(aChangeIdx) + aParamIdx * aStep(aChangeIdx);
      UV(aChangeIdx) = aParam;
      Func.Derivatives(UV, D);
      if ( Abs(D(1, aChangeIdx) ) > Precision::Confusion())
      {
        isLeftDegeneratedBorder[aBorderIdx - 1] = Standard_False;
        break;
      }
    }

    // Right border.
    UV(aBorderIdx) = BornSup(aBorderIdx);
    for(Standard_Integer aParamIdx = 0; aParamIdx < aNbSamplePnt; aParamIdx++)
    {
      Standard_Real aParam = BornInf(aChangeIdx) + aParamIdx * aStep(aChangeIdx);
      UV(aChangeIdx) = aParam;
      Func.Derivatives(UV, D);
      if ( Abs(D(1, aChangeIdx) ) > Precision::Confusion())
      {
        isRightDegeneratedBorder[aBorderIdx - 1] = Standard_False;
        break;
      }
    }
  }

  for (I = 1;I<=nbLoop;I++) {
    if (wd2[I].etat > 12)
    { // start point of closed line
      LoopPnt = Pnts2.Value(I);
      previousPoint.SetValue(ThePointOfLoopTool::Value3d(LoopPnt),reversed,
           wd2[I].ustart,wd2[I].vstart);
      previousd3d = ThePointOfLoopTool::Direction3d(LoopPnt);
      previousd2d = ThePointOfLoopTool::Direction2d(LoopPnt);

      CurrentLine = new IntWalk_TheIWLine (new NCollection_IncAllocator());
      CurrentLine->AddPoint(previousPoint);
      CurrentLine->SetTangentVector(previousd3d,1);
      Tgtbeg = Standard_False;
      Tgtend = Standard_False;
      Uvap(1) = wd2[I].ustart;
      Uvap(2) = wd2[I].vstart;

      StepSign = 1;

      // first step of advancement

      Standard_Real d2dx = Abs(previousd2d.X()); 
      Standard_Real d2dy = Abs(previousd2d.Y()); 
      if (d2dx < tolerance(1)) {
        PasC = pas * (VM-Vm)/d2dy;
      }
      else if (d2dy < tolerance(2)) {
        PasC = pas * (UM-Um)/d2dx;
      }
      else {
        PasC = pas * Min((UM-Um)/d2dx,(VM-Vm)/d2dy);
      }

      PasSav = PasC;

      Arrive = Standard_False;
      ArretAjout = Standard_False;
      NbDivision = 0;
      StatusPrecedent = IntWalk_OK;
      Standard_Integer aNbIter = 10;
      while (!Arrive) {  // as no test of stop is passed
        Cadre=Cadrage(BornInf,BornSup,Uvap,PasC, StepSign);  // border?
#ifdef CHRONO
        Chronrsnld.Start();
#endif

        Rsnld.Perform(Func,Uvap,BornInf,BornSup);

#ifdef CHRONO
        Chronrsnld.Stop();
#endif

        if (Cadre) { // update of limits.
          BornInf(1) = Um;BornSup(1) = UM;BornInf(2) = Vm;BornSup(2) = VM;
        }
        if (Rsnld.IsDone()) {
          if (Abs(Func.Root()) > Func.Tolerance()) { // no solution for the tolerance
            PasC = PasC/2.;
            PasCu = Abs(PasC*previousd2d.X());
            PasCv = Abs(PasC*previousd2d.Y());

            if (PasCu <= tolerance(1) && PasCv <= tolerance(2)) {
              if (CurrentLine->NbPoints()==1)
              {
                RemoveTwoEndPoints(I);
                break; //cancel the line
              }
              if (wd2[I].etat >12) { //the line should become open
                wd2[I].etat = 12; //declare it open
                ArretAjout = Standard_False;
                OpenLine(0,Psol,Pnts1,Func,CurrentLine);
                StepSign = -1;
                StatusPrecedent = IntWalk_OK;
                Arrive = Standard_False;
                PasC = PasSav;
                Rajout = Standard_True;
                seqAlone.Append(-lines.Length()-1);
                seqAjout.Append(-lines.Length()-1);
              }
              else { // line s is open                 
                Arrive =Standard_True;
                CurrentLine->AddStatusLast(Standard_False);
                Rajout = Standard_True;
                seqAlone.Append(lines.Length()+1);
                seqAjout.Append(lines.Length()+1);
                Tgtend = Standard_True;
              } 
              /*              
              Arrive = Standard_True;
              CurrentLine->AddStatusFirstLast(Standard_False,
                Standard_False,Standard_False);
              Rajout = Standard_True;
              seqAlone.Append(lines.Length()+1);
              seqAjout.Append(lines.Length()+1);
              Tgtend = Standard_True;
              */
            }
          }
          else { // there is a solution
            Rsnld.Root(Uvap);

            // Avoid unitialized memory access.
            if (CurrentLine->NbPoints() > 2)
            {
              for(Standard_Integer aCoordIdx = 1; aCoordIdx <= 2; aCoordIdx++)
              {
                // Check degenerated cases and fix if possible.
                if ( ( isLeftDegeneratedBorder[aCoordIdx - 1]
                && Abs (Uvap(aCoordIdx) - BornInf(aCoordIdx)) < Precision::PConfusion())||
                  (isRightDegeneratedBorder[aCoordIdx - 1]
                && Abs (Uvap(aCoordIdx) - BornSup(aCoordIdx)) < Precision::PConfusion()) )
                {
                  Standard_Real uvprev[2], uv[2];
                  if (!reversed)
                  {
                    CurrentLine->Value(CurrentLine->NbPoints() - 1).ParametersOnS2(uvprev[0], uvprev[1]);
                    CurrentLine->Value(CurrentLine->NbPoints()).ParametersOnS2(uv[0], uv[1]);
                  }
                  else
                  {
                    CurrentLine->Value(CurrentLine->NbPoints() - 1).ParametersOnS1(uvprev[0], uvprev[1]);
                    CurrentLine->Value(CurrentLine->NbPoints()).ParametersOnS1(uv[0], uv[1]);
                  }

                  Standard_Real aScaleCoeff = 0.0;

                  // Avoid finite cycle which lead to stop computing iline.
                  if (Status != IntWalk_PasTropGrand)
                  {
                    // Make linear extrapolation.
                    if ( Abs(uv[aCoordIdx - 1] - uvprev[aCoordIdx - 1]) > gp::Resolution())
                      aScaleCoeff = Abs ((Uvap(aCoordIdx) - uv[aCoordIdx - 1])
                                      /  (uv[aCoordIdx - 1] - uvprev[aCoordIdx - 1]) );
                    Standard_Integer aFixIdx =  aCoordIdx == 1? 2 : 1; // Fixing index;
                    Uvap(aFixIdx) = uv[aFixIdx - 1] + (uv[aFixIdx - 1] - uvprev[aFixIdx - 1]) * aScaleCoeff;
                  }
                }
              }
            }

            Arrive = TestArretPassage(Umult,Vmult,Uvap,I,Ipass);
            if (Arrive) {//reset proper parameter to test the arrow.
              Psol = CurrentLine->Value(1);
              if (!reversed) {
                Psol.ParametersOnS2(Uvap(1),Uvap(2));
              }
              else {
                Psol.ParametersOnS1(Uvap(1),Uvap(2));
              }
              Cadre=Standard_False; 
              //in case if there is a frame and arrival at the same time
            }
            else { // modif jag 940615
              if (Rajout) {    // test on added points
                ArretAjout =TestArretAjout(Func,Uvap,N,Psol);
                SaveN = N;
                if (ArretAjout) {
                  if (N >0) {
                    Tgtend = lines.Value(N)->IsTangentAtEnd();
                    N = -N;
                  }
                  else {
                    Tgtend = lines.Value(-N)->IsTangentAtBegining();
                  }
                  Arrive = (wd2[I].etat == 12);
                }
              }

              if (!ArretAjout&& Cadre) {  // test on already marked points
                if (CurrentLine->NbPoints() == 1)
                {
                  RemoveTwoEndPoints(I);
                  break; // cancel the line
                }
                TestArretCadre(Umult,Vmult,CurrentLine,Func,Uvap,N);
                SaveN = N;
                //		if (N==0) {
                if (N <= 0) { // jag 941017
                  MakeWalkingPoint(2,Uvap(1),Uvap(2),Func,Psol);
                  Tgtend = Func.IsTangent(); // jag 940616
                  N = -N;
                }
                Arrive = (wd2[I].etat == 12); // the line is open
              }
            }
            Status = TestDeflection(Func, Arrive,Uvap,StatusPrecedent,
                                                NbDivision,PasC,StepSign);

            StatusPrecedent = Status; 
            if (Status == IntWalk_PasTropGrand) {// division of the step
              Arrive = Standard_False;
              ArretAjout = Standard_False;
              Tgtend = Standard_False; // jag 940616
              if (!reversed) {
                previousPoint.ParametersOnS2(Uvap(1),Uvap(2));
              }
              else {
                previousPoint.ParametersOnS1(Uvap(1),Uvap(2));
              }
            }
            else if (ArretAjout || Cadre) {

              if (Arrive) { // line s is open
                CurrentLine->AddStatusLast(Standard_False);
                //if (Status != IntWalk_ArretSurPointPrecedent)
                CurrentLine->AddPoint(Psol);

                //Remove <SaveN> from <seqAlone> and, if it is first found point,
                //from <seqAjout> too
                if (IsValidEndPoint(I, SaveN))
                {
                  for (Standard_Integer iseq = 1; iseq <= seqAlone.Length(); iseq++)
                    if (seqAlone(iseq) == SaveN)
                    {
                      seqAlone.Remove(iseq);
                      break;
                    }
                  if (CurrentLine->NbPoints() <= 3)
                    for (Standard_Integer iseq = 1; iseq <= seqAjout.Length(); iseq++)
                      if (seqAjout(iseq) == SaveN)
                      {
                        seqAjout.Remove(iseq);
                        break;
                      }
                }
                else
                {
                  if (seqAlone.Last() == -lines.Length()-1)
                  {
                    seqAlone.Remove(seqAlone.Length());
                    seqAjout.Remove(seqAjout.Length());
                  }
                  RemoveTwoEndPoints(I);
                  Arrive = Standard_False;
                  break; //cancel the line
                }

                if (Cadre && N==0) {
                  Rajout = Standard_True;
                  //seqAlone.Append(lines.Length()+1);
                  seqAjout.Append(lines.Length()+1);
                }

              }
              else { // open
                wd2[I].etat = 12; // declare it open
                Tgtbeg = Tgtend;
                Tgtend = Standard_False;
                ArretAjout = Standard_False;
                StepSign = -1;
                StatusPrecedent = IntWalk_OK;
                PasC = PasSav;
                if (Status == IntWalk_ArretSurPointPrecedent) {
                  CurrentLine->AddPoint(Psol);
                  OpenLine(0,Psol,Pnts1,Func,CurrentLine);
                }
                else {
                  OpenLine(-lines.Length()-1,Psol,Pnts1,Func,CurrentLine);
                }
                //Remove <SaveN> from <seqAlone> and, if it is first found point,
                //from <seqAjout> too
                if (IsValidEndPoint(I, SaveN))
                {
                  for (Standard_Integer iseq = 1; iseq <= seqAlone.Length(); iseq++)
                    if (seqAlone(iseq) == SaveN)
                    {
                      seqAlone.Remove(iseq);
                      break;
                    }
                  if (CurrentLine->NbPoints() <= 2)
                    for (Standard_Integer iseq = 1; iseq <= seqAjout.Length(); iseq++)
                      if (seqAjout(iseq) == SaveN)
                      {
                        seqAjout.Remove(iseq);
                        break;
                      }
                }
                else
                {
                  RemoveTwoEndPoints(I);
                  break; //cancel the line
                }
                
                if (Cadre && N==0) {
                  Rajout = Standard_True;
                  seqAjout.Append(-lines.Length()-1);
                }
              }
            }
            else if ( Status == IntWalk_ArretSurPointPrecedent) {
              if (CurrentLine->NbPoints() == 1) { //cancel the line
                Arrive = Standard_False;
                RemoveTwoEndPoints(I);
                break;
              }
              if (wd2[I].etat >12) { //the line should become open
                wd2[I].etat = 12; //declare it open
                ArretAjout = Standard_False;
                OpenLine(0,Psol,Pnts1,Func,CurrentLine);
                StepSign = -1;
                StatusPrecedent = IntWalk_OK;
                Arrive = Standard_False;
                PasC = PasSav;
                Rajout = Standard_True;
                seqAlone.Append(-lines.Length()-1);
                seqAjout.Append(-lines.Length()-1);
              }
              else { // line s is open                 
                Arrive =Standard_True;
                CurrentLine->AddStatusLast(Standard_False);
                Rajout = Standard_True;
                seqAlone.Append(lines.Length()+1);
                seqAjout.Append(lines.Length()+1);
              } 
            }
            else if (Arrive)  {
              if (wd2[I].etat > 12) {  //line closed good case
                CurrentLine->AddStatusFirstLast(Standard_True,
                  Standard_False,Standard_False);
                CurrentLine->AddPoint(CurrentLine->Value(1));              
              }
              else if (N >0) { //point of stop given at input 
                PathPnt = Pnts1.Value(N);
                CurrentLine->AddStatusLast(Standard_True,N,PathPnt);
                AddPointInCurrentLine(N,PathPnt,CurrentLine);
              }
            }
            else if (Status == IntWalk_ArretSurPoint) {
              if (wd2[I].etat >12) { //line should become open
                wd2[I].etat = 12; //declare it open
                Tgtbeg = Standard_True;
                Tgtend = Standard_False;
                N= -lines.Length()-1;
                Psol.SetValue(Func.Point(),reversed,Uvap(1),Uvap(2));
                OpenLine(N,Psol,Pnts1,Func,CurrentLine);
                StepSign = -1;
                Rajout = Standard_True;
                seqAlone.Append(N);
                seqAjout.Append(N);
                StatusPrecedent = IntWalk_OK;
                Arrive = Standard_False;
                PasC = PasSav;	
              }
              else { 
                Arrive = Standard_True;                   
                if (Ipass!=0) { //point of passage, point of stop
                  PathPnt = Pnts1.Value(Ipass);
                  CurrentLine->AddStatusLast(Standard_True,Ipass,PathPnt);
                  AddPointInCurrentLine(Ipass,PathPnt,CurrentLine);
                }
                else {
                  CurrentLine->AddStatusLast(Standard_False);
                  IntSurf_PntOn2S newP;
                  newP.SetValue(Func.Point(),reversed,Uvap(1),Uvap(2));
                  CurrentLine->AddPoint(newP);
                  Rajout = Standard_True;
                  seqAlone.Append(lines.Length()+1);
                  seqAjout.Append(lines.Length()+1);
                }
              }
            }
            else if (Status == IntWalk_OK) { 
              if (Ipass!=0) CurrentLine->AddIndexPassing(Ipass);
              previousPoint.SetValue(Func.Point(),reversed,Uvap(1),Uvap(2));
              previousd3d = Func.Direction3d();
              previousd2d = Func.Direction2d();
              CurrentLine->AddPoint(previousPoint);
            }
            else if (Status == IntWalk_PointConfondu)
            {
              aNbIter --;
            }
          }
        }
        else { //no numerical solution NotDone
          PasC = PasC/2.;
          PasCu = Abs(PasC*previousd2d.X());
          PasCv = Abs(PasC*previousd2d.Y());

          if (PasCu <= tolerance(1) && PasCv <= tolerance(2)) {
            if (CurrentLine->NbPoints() == 1)
            {
              RemoveTwoEndPoints(I);
              break; // cancel the line
            }
            if (wd2[I].etat >12) { //the line should become open
              wd2[I].etat = 12; //declare it open
              ArretAjout = Standard_False;
              OpenLine(0,Psol,Pnts1,Func,CurrentLine);
              StepSign = -1;
              StatusPrecedent = IntWalk_OK;
              Arrive = Standard_False;
              PasC = PasSav;
              Rajout = Standard_True;
              seqAlone.Append(-lines.Length()-1);
              seqAjout.Append(-lines.Length()-1);
            }
            else { // line s is open                 
              Arrive =Standard_True;
              CurrentLine->AddStatusLast(Standard_False);
              Tgtend = Standard_True;
              Rajout = Standard_True;
              seqAlone.Append(lines.Length()+1);
              seqAjout.Append(lines.Length()+1);
            } 
            /*
            Arrive = Standard_True;
            CurrentLine->AddStatusFirstLast(Standard_False,Standard_False,
              Standard_False);
            Tgtend = Standard_True;
            Rajout = Standard_True;
            seqAlone.Append(lines.Length()+1);
            seqAjout.Append(lines.Length()+1);
            */
          }  
        }

        if(aNbIter < 0)
          break;
      }// end of started line 
      if (Arrive) {
        CurrentLine->SetTangencyAtBegining(Tgtbeg);
        CurrentLine->SetTangencyAtEnd(Tgtend);

        lines.Append(CurrentLine);
        wd2[I].etat=-wd2[I].etat; //mark point as processed
      }
    } //end of processing of start point
  } //end of all start points
}
Commit	Line	Data
b311480e	1	// Copyright (c) 1995-1999 Matra Datavision
973c2be1	2	// Copyright (c) 1999-2014 OPEN CASCADE SAS
b311480e	3	//
973c2be1	4	// This file is part of Open CASCADE Technology software library.
b311480e	5	//
d5f74e42	6	// This library is free software; you can redistribute it and/or modify it under
d5f74e42	7	// the terms of the GNU Lesser General Public License version 2.1 as published
973c2be1	8	// by the Free Software Foundation, with special exception defined in the file
	9	// OCCT_LGPL_EXCEPTION.txt. Consult the file LICENSE_LGPL_21.txt included in OCCT
	10	// distribution for complete text of the license and disclaimer of any warranty.
b311480e	11	//
973c2be1	12	// Alternatively, this file may be used under the terms of Open CASCADE
973c2be1	13	// commercial license or contractual agreement.
7fd59977	14
96a85238	15	#include <NCollection_IncAllocator.hxx>
7fd59977	16
	17	void IntWalk_IWalking::ComputeCloseLine(const TColStd_SequenceOfReal& Umult,
	18	const TColStd_SequenceOfReal& Vmult,
	19	const ThePOPIterator& Pnts1,
	20	const ThePOLIterator& Pnts2,
	21	TheIWFunction& Func,
43e9197e	22	Standard_Boolean& Rajout )
e9a6ce82	23	// ********* Processing of closed line ********************
7fd59977	24	//
e9a6ce82	25	// for any interior non-processed point
	26	// calculate the step of advancement=step depending on the arrow and max step
	27	// calculate a point of approach (this point is on the tangent to the section
	28	// of distance = no interior point)
	29	// conditions
	30	// (all calculated points do not form a closed loop)
	31	// or
	32	// (all points do not form an open line going from
	33	// one border of the domain to the other or from a point tangent
	34	// to the border or from 2 tangent points : single cases)
7fd59977	35	//
e9a6ce82	36	// frame the point of approach on borders if necessary
	37	// calculate the point
	38	// if point not found divide the step
	39	// test of stop
	40	// calculate step depending on the arrow and the max step (stop possible)
7fd59977	41	//
	42	// ********************************************************************
	43	{
8d795b51	44	Standard_Integer I,N = 0,SaveN = 0;
1ef32e96 RL	45	Standard_Real aBornInf[2], aBornSup[2], aUVap[2];
	46	math_Vector BornInf(aBornInf,1,2), BornSup(aBornSup,1,2);
	47	math_Vector Uvap(aUVap,1,2);// parameters of current approach
de09d2a2	48	Standard_Real PasC; // step of advancement on the tangent
de09d2a2	49	Standard_Real PasCu; // step of advancement current by U
e9a6ce82	50	Standard_Real PasCv; // step of advancement current by V
	51	Standard_Real PasSav; // save first step of advancement
	52	Standard_Boolean Arrive;// show if line ends
	53	Standard_Boolean Cadre; // show if on border of the domains
	54	Standard_Boolean ArretAjout; // show if on the added point
7fd59977	55	IntSurf_PntOn2S Psol;
e9a6ce82	56	Handle(IntWalk_TheIWLine) CurrentLine; //line under construction
7fd59977	57	ThePointOfPath PathPnt;
	58	ThePointOfLoop LoopPnt;
	59
	60	Standard_Boolean Tgtbeg,Tgtend;
	61
	62	Standard_Integer StepSign;
	63
43e9197e	64	IntWalk_StatusDeflection Status = IntWalk_OK, StatusPrecedent;
e9a6ce82	65	Standard_Integer NbDivision ; // number of divisions of step
e9a6ce82	66	// during calculation of 1 section
7fd59977	67
7fd59977	68	Standard_Integer Ipass ;
e9a6ce82	69	//index in the iterator of points on edge of point of passage
7fd59977	70
	71
	72	BornInf(1) = Um;
	73	BornSup(1) = UM;
	74	BornInf(2) = Vm;
	75	BornSup(2) = VM;
	76
	77	math_FunctionSetRoot Rsnld(Func,tolerance);
	78	Standard_Integer nbLoop = Pnts2.Length();
b92f3572	79
43e9197e	80	// Check borders for degeneracy:
	81	math_Matrix D(1,1,1,2);
	82	const Standard_Integer aNbSamplePnt = 10;
	83	Standard_Boolean isLeftDegeneratedBorder[2] = {Standard_True, Standard_True};
	84	Standard_Boolean isRightDegeneratedBorder[2] = {Standard_True, Standard_True};
	85	math_Vector aStep(1,2);
	86	aStep = (BornSup - BornInf) / (aNbSamplePnt - 1);
	87	for(Standard_Integer aBorderIdx = 1; aBorderIdx <= 2; aBorderIdx++)
	88	{
	89	Standard_Integer aChangeIdx = aBorderIdx == 2? 1 : 2;
	90	math_Vector UV(1,2);
	91
	92	// Left border.
	93	UV(aBorderIdx) = BornInf(aBorderIdx);
	94	for(Standard_Integer aParamIdx = 0; aParamIdx < aNbSamplePnt; aParamIdx++)
	95	{
	96	Standard_Real aParam = BornInf(aChangeIdx) + aParamIdx * aStep(aChangeIdx);
	97	UV(aChangeIdx) = aParam;
	98	Func.Derivatives(UV, D);
	99	if ( Abs(D(1, aChangeIdx) ) > Precision::Confusion())
	100	{
	101	isLeftDegeneratedBorder[aBorderIdx - 1] = Standard_False;
	102	break;
	103	}
	104	}
	105
	106	// Right border.
	107	UV(aBorderIdx) = BornSup(aBorderIdx);
	108	for(Standard_Integer aParamIdx = 0; aParamIdx < aNbSamplePnt; aParamIdx++)
	109	{
	110	Standard_Real aParam = BornInf(aChangeIdx) + aParamIdx * aStep(aChangeIdx);
	111	UV(aChangeIdx) = aParam;
	112	Func.Derivatives(UV, D);
	113	if ( Abs(D(1, aChangeIdx) ) > Precision::Confusion())
	114	{
	115	isRightDegeneratedBorder[aBorderIdx - 1] = Standard_False;
	116	break;
	117	}
	118	}
	119	}
	120
7fd59977	121	for (I = 1;I<=nbLoop;I++) {
b92f3572	122	if (wd2[I].etat > 12)
b92f3572	123	{ // start point of closed line
7fd59977	124	LoopPnt = Pnts2.Value(I);
7fd59977	125	previousPoint.SetValue(ThePointOfLoopTool::Value3d(LoopPnt),reversed,
b92f3572	126	wd2[I].ustart,wd2[I].vstart);
7fd59977	127	previousd3d = ThePointOfLoopTool::Direction3d(LoopPnt);
	128	previousd2d = ThePointOfLoopTool::Direction2d(LoopPnt);
	129
96a85238	130	CurrentLine = new IntWalk_TheIWLine (new NCollection_IncAllocator());
7fd59977	131	CurrentLine->AddPoint(previousPoint);
	132	CurrentLine->SetTangentVector(previousd3d,1);
	133	Tgtbeg = Standard_False;
	134	Tgtend = Standard_False;
96a85238 RL	135	Uvap(1) = wd2[I].ustart;
96a85238 RL	136	Uvap(2) = wd2[I].vstart;
7fd59977	137
	138	StepSign = 1;
	139
e9a6ce82	140	// first step of advancement
7fd59977	141
	142	Standard_Real d2dx = Abs(previousd2d.X());
	143	Standard_Real d2dy = Abs(previousd2d.Y());
	144	if (d2dx < tolerance(1)) {
b92f3572	145	PasC = pas * (VM-Vm)/d2dy;
7fd59977	146	}
7fd59977	147	else if (d2dy < tolerance(2)) {
b92f3572	148	PasC = pas * (UM-Um)/d2dx;
7fd59977	149	}
7fd59977	150	else {
b92f3572	151	PasC = pas * Min((UM-Um)/d2dx,(VM-Vm)/d2dy);
7fd59977	152	}
	153
	154	PasSav = PasC;
	155
	156	Arrive = Standard_False;
	157	ArretAjout = Standard_False;
	158	NbDivision = 0;
	159	StatusPrecedent = IntWalk_OK;
b92f3572	160	Standard_Integer aNbIter = 10;
e9a6ce82	161	while (!Arrive) { // as no test of stop is passed
b92f3572	162	Cadre=Cadrage(BornInf,BornSup,Uvap,PasC, StepSign); // border?
7fd59977	163	#ifdef CHRONO
b92f3572	164	Chronrsnld.Start();
7fd59977	165	#endif
7fd59977	166
b92f3572	167	Rsnld.Perform(Func,Uvap,BornInf,BornSup);
7fd59977	168
7fd59977	169	#ifdef CHRONO
b92f3572	170	Chronrsnld.Stop();
7fd59977	171	#endif
7fd59977	172
b92f3572	173	if (Cadre) { // update of limits.
	174	BornInf(1) = Um;BornSup(1) = UM;BornInf(2) = Vm;BornSup(2) = VM;
	175	}
	176	if (Rsnld.IsDone()) {
	177	if (Abs(Func.Root()) > Func.Tolerance()) { // no solution for the tolerance
	178	PasC = PasC/2.;
	179	PasCu = Abs(PasC*previousd2d.X());
	180	PasCv = Abs(PasC*previousd2d.Y());
	181
	182	if (PasCu <= tolerance(1) && PasCv <= tolerance(2)) {
8d795b51	183	if (CurrentLine->NbPoints()==1)
	184	{
	185	RemoveTwoEndPoints(I);
	186	break; //cancel the line
	187	}
	188	if (wd2[I].etat >12) { //the line should become open
	189	wd2[I].etat = 12; //declare it open
	190	ArretAjout = Standard_False;
	191	OpenLine(0,Psol,Pnts1,Func,CurrentLine);
	192	StepSign = -1;
	193	StatusPrecedent = IntWalk_OK;
	194	Arrive = Standard_False;
	195	PasC = PasSav;
	196	Rajout = Standard_True;
	197	seqAlone.Append(-lines.Length()-1);
	198	seqAjout.Append(-lines.Length()-1);
	199	}
	200	else { // line s is open
	201	Arrive =Standard_True;
	202	CurrentLine->AddStatusLast(Standard_False);
	203	Rajout = Standard_True;
	204	seqAlone.Append(lines.Length()+1);
	205	seqAjout.Append(lines.Length()+1);
	206	Tgtend = Standard_True;
	207	}
	208	/*
b92f3572	209	Arrive = Standard_True;
	210	CurrentLine->AddStatusFirstLast(Standard_False,
	211	Standard_False,Standard_False);
	212	Rajout = Standard_True;
8d795b51	213	seqAlone.Append(lines.Length()+1);
7fd59977	214	seqAjout.Append(lines.Length()+1);
b92f3572	215	Tgtend = Standard_True;
8d795b51	216	*/
b92f3572	217	}
	218	}
	219	else { // there is a solution
	220	Rsnld.Root(Uvap);
43e9197e	221
	222	// Avoid unitialized memory access.
	223	if (CurrentLine->NbPoints() > 2)
	224	{
	225	for(Standard_Integer aCoordIdx = 1; aCoordIdx <= 2; aCoordIdx++)
	226	{
	227	// Check degenerated cases and fix if possible.
	228	if ( ( isLeftDegeneratedBorder[aCoordIdx - 1]
	229	&& Abs (Uvap(aCoordIdx) - BornInf(aCoordIdx)) < Precision::PConfusion())\|\|
	230	(isRightDegeneratedBorder[aCoordIdx - 1]
	231	&& Abs (Uvap(aCoordIdx) - BornSup(aCoordIdx)) < Precision::PConfusion()) )
	232	{
	233	Standard_Real uvprev[2], uv[2];
	234	if (!reversed)
	235	{
	236	CurrentLine->Value(CurrentLine->NbPoints() - 1).ParametersOnS2(uvprev[0], uvprev[1]);
	237	CurrentLine->Value(CurrentLine->NbPoints()).ParametersOnS2(uv[0], uv[1]);
	238	}
	239	else
	240	{
	241	CurrentLine->Value(CurrentLine->NbPoints() - 1).ParametersOnS1(uvprev[0], uvprev[1]);
	242	CurrentLine->Value(CurrentLine->NbPoints()).ParametersOnS1(uv[0], uv[1]);
	243	}
	244
	245	Standard_Real aScaleCoeff = 0.0;
	246
	247	// Avoid finite cycle which lead to stop computing iline.
	248	if (Status != IntWalk_PasTropGrand)
	249	{
	250	// Make linear extrapolation.
	251	if ( Abs(uv[aCoordIdx - 1] - uvprev[aCoordIdx - 1]) > gp::Resolution())
	252	aScaleCoeff = Abs ((Uvap(aCoordIdx) - uv[aCoordIdx - 1])
	253	/ (uv[aCoordIdx - 1] - uvprev[aCoordIdx - 1]) );
	254	Standard_Integer aFixIdx = aCoordIdx == 1? 2 : 1; // Fixing index;
	255	Uvap(aFixIdx) = uv[aFixIdx - 1] + (uv[aFixIdx - 1] - uvprev[aFixIdx - 1]) * aScaleCoeff;
	256	}
	257	}
	258	}
	259	}
	260
b92f3572	261	Arrive = TestArretPassage(Umult,Vmult,Uvap,I,Ipass);
	262	if (Arrive) {//reset proper parameter to test the arrow.
	263	Psol = CurrentLine->Value(1);
	264	if (!reversed) {
	265	Psol.ParametersOnS2(Uvap(1),Uvap(2));
	266	}
	267	else {
	268	Psol.ParametersOnS1(Uvap(1),Uvap(2));
	269	}
7fd59977	270	Cadre=Standard_False;
b92f3572	271	//in case if there is a frame and arrival at the same time
	272	}
	273	else { // modif jag 940615
	274	if (Rajout) { // test on added points
	275	ArretAjout =TestArretAjout(Func,Uvap,N,Psol);
8d795b51	276	SaveN = N;
b92f3572	277	if (ArretAjout) {
	278	if (N >0) {
	279	Tgtend = lines.Value(N)->IsTangentAtEnd();
	280	N = -N;
	281	}
	282	else {
	283	Tgtend = lines.Value(-N)->IsTangentAtBegining();
	284	}
	285	Arrive = (wd2[I].etat == 12);
	286	}
	287	}
	288
	289	if (!ArretAjout&& Cadre) { // test on already marked points
8d795b51	290	if (CurrentLine->NbPoints() == 1)
	291	{
	292	RemoveTwoEndPoints(I);
	293	break; // cancel the line
	294	}
b92f3572	295	TestArretCadre(Umult,Vmult,CurrentLine,Func,Uvap,N);
8d795b51	296	SaveN = N;
b92f3572	297	// if (N==0) {
	298	if (N <= 0) { // jag 941017
	299	MakeWalkingPoint(2,Uvap(1),Uvap(2),Func,Psol);
	300	Tgtend = Func.IsTangent(); // jag 940616
	301	N = -N;
	302	}
	303	Arrive = (wd2[I].etat == 12); // the line is open
	304	}
	305	}
	306	Status = TestDeflection(Func, Arrive,Uvap,StatusPrecedent,
	307	NbDivision,PasC,StepSign);
	308
	309	StatusPrecedent = Status;
	310	if (Status == IntWalk_PasTropGrand) {// division of the step
	311	Arrive = Standard_False;
	312	ArretAjout = Standard_False;
	313	Tgtend = Standard_False; // jag 940616
	314	if (!reversed) {
	315	previousPoint.ParametersOnS2(Uvap(1),Uvap(2));
	316	}
	317	else {
	318	previousPoint.ParametersOnS1(Uvap(1),Uvap(2));
	319	}
	320	}
	321	else if (ArretAjout \|\| Cadre) {
	322
	323	if (Arrive) { // line s is open
	324	CurrentLine->AddStatusLast(Standard_False);
8d795b51	325	//if (Status != IntWalk_ArretSurPointPrecedent)
	326	CurrentLine->AddPoint(Psol);
	327
	328	//Remove <SaveN> from <seqAlone> and, if it is first found point,
	329	//from <seqAjout> too
	330	if (IsValidEndPoint(I, SaveN))
	331	{
	332	for (Standard_Integer iseq = 1; iseq <= seqAlone.Length(); iseq++)
	333	if (seqAlone(iseq) == SaveN)
	334	{
	335	seqAlone.Remove(iseq);
	336	break;
	337	}
	338	if (CurrentLine->NbPoints() <= 3)
	339	for (Standard_Integer iseq = 1; iseq <= seqAjout.Length(); iseq++)
	340	if (seqAjout(iseq) == SaveN)
	341	{
	342	seqAjout.Remove(iseq);
	343	break;
	344	}
	345	}
	346	else
	347	{
	348	if (seqAlone.Last() == -lines.Length()-1)
	349	{
	350	seqAlone.Remove(seqAlone.Length());
	351	seqAjout.Remove(seqAjout.Length());
	352	}
	353	RemoveTwoEndPoints(I);
	354	Arrive = Standard_False;
	355	break; //cancel the line
b92f3572	356	}
8d795b51	357
b92f3572	358	if (Cadre && N==0) {
b92f3572	359	Rajout = Standard_True;
8d795b51	360	//seqAlone.Append(lines.Length()+1);
b92f3572	361	seqAjout.Append(lines.Length()+1);
	362	}
	363
	364	}
	365	else { // open
	366	wd2[I].etat = 12; // declare it open
	367	Tgtbeg = Tgtend;
	368	Tgtend = Standard_False;
	369	ArretAjout = Standard_False;
	370	StepSign = -1;
7fd59977	371	StatusPrecedent = IntWalk_OK;
b92f3572	372	PasC = PasSav;
b92f3572	373	if (Status == IntWalk_ArretSurPointPrecedent) {
8d795b51	374	CurrentLine->AddPoint(Psol);
b92f3572	375	OpenLine(0,Psol,Pnts1,Func,CurrentLine);
	376	}
	377	else {
	378	OpenLine(-lines.Length()-1,Psol,Pnts1,Func,CurrentLine);
	379	}
8d795b51	380	//Remove <SaveN> from <seqAlone> and, if it is first found point,
	381	//from <seqAjout> too
	382	if (IsValidEndPoint(I, SaveN))
	383	{
	384	for (Standard_Integer iseq = 1; iseq <= seqAlone.Length(); iseq++)
	385	if (seqAlone(iseq) == SaveN)
	386	{
	387	seqAlone.Remove(iseq);
	388	break;
	389	}
	390	if (CurrentLine->NbPoints() <= 2)
	391	for (Standard_Integer iseq = 1; iseq <= seqAjout.Length(); iseq++)
	392	if (seqAjout(iseq) == SaveN)
	393	{
	394	seqAjout.Remove(iseq);
	395	break;
	396	}
	397	}
	398	else
	399	{
	400	RemoveTwoEndPoints(I);
	401	break; //cancel the line
	402	}
	403
b92f3572	404	if (Cadre && N==0) {
	405	Rajout = Standard_True;
	406	seqAjout.Append(-lines.Length()-1);
	407	}
	408	}
	409	}
	410	else if ( Status == IntWalk_ArretSurPointPrecedent) {
	411	if (CurrentLine->NbPoints() == 1) { //cancel the line
	412	Arrive = Standard_False;
8d795b51	413	RemoveTwoEndPoints(I);
b92f3572	414	break;
	415	}
	416	if (wd2[I].etat >12) { //the line should become open
	417	wd2[I].etat = 12; //declare it open
	418	ArretAjout = Standard_False;
	419	OpenLine(0,Psol,Pnts1,Func,CurrentLine);
	420	StepSign = -1;
7fd59977	421	StatusPrecedent = IntWalk_OK;
b92f3572	422	Arrive = Standard_False;
	423	PasC = PasSav;
	424	Rajout = Standard_True;
8d795b51	425	seqAlone.Append(-lines.Length()-1);
7fd59977	426	seqAjout.Append(-lines.Length()-1);
b92f3572	427	}
	428	else { // line s is open
	429	Arrive =Standard_True;
	430	CurrentLine->AddStatusLast(Standard_False);
	431	Rajout = Standard_True;
8d795b51	432	seqAlone.Append(lines.Length()+1);
7fd59977	433	seqAjout.Append(lines.Length()+1);
b92f3572	434	}
	435	}
	436	else if (Arrive) {
	437	if (wd2[I].etat > 12) { //line closed good case
	438	CurrentLine->AddStatusFirstLast(Standard_True,
	439	Standard_False,Standard_False);
	440	CurrentLine->AddPoint(CurrentLine->Value(1));
	441	}
	442	else if (N >0) { //point of stop given at input
	443	PathPnt = Pnts1.Value(N);
	444	CurrentLine->AddStatusLast(Standard_True,N,PathPnt);
7fd59977	445	AddPointInCurrentLine(N,PathPnt,CurrentLine);
b92f3572	446	}
	447	}
	448	else if (Status == IntWalk_ArretSurPoint) {
	449	if (wd2[I].etat >12) { //line should become open
	450	wd2[I].etat = 12; //declare it open
	451	Tgtbeg = Standard_True;
	452	Tgtend = Standard_False;
7fd59977	453	N= -lines.Length()-1;
7fd59977	454	Psol.SetValue(Func.Point(),reversed,Uvap(1),Uvap(2));
b92f3572	455	OpenLine(N,Psol,Pnts1,Func,CurrentLine);
	456	StepSign = -1;
	457	Rajout = Standard_True;
8d795b51	458	seqAlone.Append(N);
7fd59977	459	seqAjout.Append(N);
7fd59977	460	StatusPrecedent = IntWalk_OK;
b92f3572	461	Arrive = Standard_False;
	462	PasC = PasSav;
	463	}
	464	else {
	465	Arrive = Standard_True;
	466	if (Ipass!=0) { //point of passage, point of stop
	467	PathPnt = Pnts1.Value(Ipass);
	468	CurrentLine->AddStatusLast(Standard_True,Ipass,PathPnt);
7fd59977	469	AddPointInCurrentLine(Ipass,PathPnt,CurrentLine);
b92f3572	470	}
b92f3572	471	else {
7fd59977	472	CurrentLine->AddStatusLast(Standard_False);
b92f3572	473	IntSurf_PntOn2S newP;
b92f3572	474	newP.SetValue(Func.Point(),reversed,Uvap(1),Uvap(2));
7fd59977	475	CurrentLine->AddPoint(newP);
b92f3572	476	Rajout = Standard_True;
8d795b51	477	seqAlone.Append(lines.Length()+1);
b92f3572	478	seqAjout.Append(lines.Length()+1);
7fd59977	479	}
b92f3572	480	}
	481	}
	482	else if (Status == IntWalk_OK) {
	483	if (Ipass!=0) CurrentLine->AddIndexPassing(Ipass);
	484	previousPoint.SetValue(Func.Point(),reversed,Uvap(1),Uvap(2));
	485	previousd3d = Func.Direction3d();
	486	previousd2d = Func.Direction2d();
	487	CurrentLine->AddPoint(previousPoint);
	488	}
	489	else if (Status == IntWalk_PointConfondu)
	490	{
	491	aNbIter --;
	492	}
	493	}
	494	}
	495	else { //no numerical solution NotDone
	496	PasC = PasC/2.;
	497	PasCu = Abs(PasC*previousd2d.X());
	498	PasCv = Abs(PasC*previousd2d.Y());
	499
	500	if (PasCu <= tolerance(1) && PasCv <= tolerance(2)) {
8d795b51	501	if (CurrentLine->NbPoints() == 1)
	502	{
	503	RemoveTwoEndPoints(I);
	504	break; // cancel the line
	505	}
	506	if (wd2[I].etat >12) { //the line should become open
	507	wd2[I].etat = 12; //declare it open
	508	ArretAjout = Standard_False;
	509	OpenLine(0,Psol,Pnts1,Func,CurrentLine);
	510	StepSign = -1;
	511	StatusPrecedent = IntWalk_OK;
	512	Arrive = Standard_False;
	513	PasC = PasSav;
	514	Rajout = Standard_True;
	515	seqAlone.Append(-lines.Length()-1);
	516	seqAjout.Append(-lines.Length()-1);
	517	}
	518	else { // line s is open
	519	Arrive =Standard_True;
	520	CurrentLine->AddStatusLast(Standard_False);
	521	Tgtend = Standard_True;
	522	Rajout = Standard_True;
	523	seqAlone.Append(lines.Length()+1);
	524	seqAjout.Append(lines.Length()+1);
	525	}
	526	/*
b92f3572	527	Arrive = Standard_True;
	528	CurrentLine->AddStatusFirstLast(Standard_False,Standard_False,
	529	Standard_False);
	530	Tgtend = Standard_True;
	531	Rajout = Standard_True;
8d795b51	532	seqAlone.Append(lines.Length()+1);
b92f3572	533	seqAjout.Append(lines.Length()+1);
8d795b51	534	*/
b92f3572	535	}
	536	}
	537
	538	if(aNbIter < 0)
	539	break;
e9a6ce82	540	}// end of started line
7fd59977	541	if (Arrive) {
b92f3572	542	CurrentLine->SetTangencyAtBegining(Tgtbeg);
	543	CurrentLine->SetTangencyAtEnd(Tgtend);
	544
	545	lines.Append(CurrentLine);
	546	wd2[I].etat=-wd2[I].etat; //mark point as processed
7fd59977	547	}
e9a6ce82	548	} //end of processing of start point
e9a6ce82	549	} //end of all start points
7fd59977	550	}