path: root/inc/IntImpParGen_Intersector.gxx

// File :       IntImpParGen_Intersector.gxx
// Created :    Mon Mar 2 14:00:00 1992
// Author :     Laurent BUCHARD
//                <lbr@phobox>
// Copyright:   Matra Datavision 1992


#include <Standard_ConstructionError.hxx>
#include <IntRes2d_Domain.hxx>
#include <IntRes2d_IntersectionPoint.hxx>
#include <IntRes2d_IntersectionSegment.hxx>
#include <IntRes2d_SequenceOfIntersectionPoint.hxx>
#include <IntRes2d_SequenceOfIntersectionSegment.hxx>
#include <IntRes2d_Transition.hxx>
#include <IntRes2d_Position.hxx>
 
#include <IntImpParGen.hxx>

#include <math_FunctionSample.hxx>
#include <math_FunctionAllRoots.hxx>

#include <TColStd_Array1OfReal.hxx>
#include <gp.hxx>
#include <gp_Vec2d.hxx>

//======================================================================
#define EPSDIST Tol
#define EPSNUL  TolConf
#define EPSX    ParTool::EpsX(TheParCurve)
#define NB_ECHANTILLONS 

static Standard_Real PIpPI = Standard_PI+Standard_PI;



//======================================================================
void IntImpParGen_Intersector::And_Domaine_Objet1_Intersections(const ImpTool& TheImpTool,
			      const ParCurve& TheParCurve,
			      const IntRes2d_Domain& TheImpCurveDomain,
			      const IntRes2d_Domain& TheParCurveDomain,
			      Standard_Integer& NbResultats,
		      	      TColStd_Array1OfReal& Inter2_And_Domain2,
			      TColStd_Array1OfReal& Inter1,
			      TColStd_Array1OfReal& Resultat1,
		      	      TColStd_Array1OfReal& Resultat2,
			      const Standard_Real EpsNul) const {

  
  Standard_Integer Nb_Bornes_Intersection=NbResultats;
  NbResultats=0;
  
  for(Standard_Integer i=1; i<=Nb_Bornes_Intersection; i+=2) {
    
    Standard_Real param1=Inter1.Value(i);
    Standard_Real param2=Inter1.Value(i+1);

    Standard_Integer indice_1=i;
    Standard_Integer indice_2=i+1;

    if(param1>param2) {
      Standard_Real t=param1; param1=param2; param2=t;
      indice_1=i+1;
      indice_2=i;
    }

    gp_Pnt2d Pt1=TheImpTool.Value(param1);
    gp_Pnt2d Pt2=TheImpTool.Value(param2);
    gp_Pnt2d Pt;

    Standard_Boolean IsOnTheImpCurveDomain1=Standard_True;

    Standard_Boolean IsOnTheImpCurveDomain2=Standard_True;
    //--------------------------------------------------------------------
    if(TheImpCurveDomain.HasFirstPoint()) { 
      if(param1<TheImpCurveDomain.FirstParameter()) {             
	if(Pt1.Distance(TheImpCurveDomain.FirstPoint()) 
	   > TheImpCurveDomain.FirstTolerance()) {
	  IsOnTheImpCurveDomain1=Standard_False; 
	}
      }
    }
    if(IsOnTheImpCurveDomain1 && TheImpCurveDomain.HasLastPoint()) {
      if(param1>TheImpCurveDomain.LastParameter()) {
	if(Pt1.Distance(TheImpCurveDomain.LastPoint()) 
	   > TheImpCurveDomain.FirstTolerance()) {
	  IsOnTheImpCurveDomain1=Standard_False; 
	}
      }
    }
    //--------------------------------------------------------------------
    if(TheImpCurveDomain.HasFirstPoint()) { 
      if(param2<TheImpCurveDomain.FirstParameter()) {             
	if(Pt2.Distance(TheImpCurveDomain.FirstPoint()) 
	   > TheImpCurveDomain.FirstTolerance()) {
	  IsOnTheImpCurveDomain2=Standard_False; 
	}
      }
    }
    if(IsOnTheImpCurveDomain2 && TheImpCurveDomain.HasLastPoint()) {
      if(param2>TheImpCurveDomain.LastParameter()) {
	if(Pt2.Distance(TheImpCurveDomain.LastPoint()) 
	   > TheImpCurveDomain.FirstTolerance()) {
	  IsOnTheImpCurveDomain2=Standard_False; 
	}
      }
    }

    if(IsOnTheImpCurveDomain1) {
      //------------------------------------------------------------------
      //---                 la borne 1 est sur le domaine               --
      NbResultats++;
      Resultat1.SetValue(NbResultats,Inter1.Value(indice_1));
      Resultat2.SetValue(NbResultats,Inter2_And_Domain2.Value(indice_1));
      //---               la borne2 est aussi sur le domaine           ---
      if(IsOnTheImpCurveDomain2) {
	NbResultats++;
	Resultat1.SetValue(NbResultats,Inter1.Value(indice_2));
	Resultat2.SetValue(NbResultats,Inter2_And_Domain2.Value(indice_2));
      }
      else {
	//---    Borne1 sur domaine et Borne 2 Hors Domaine           ---
	Standard_Real t;
	NbResultats++;
	t=TheImpCurveDomain.LastParameter();  
	Resultat1.SetValue(NbResultats,t);
//	Standard_Real popResult = FindV(t,Pt,TheImpTool,TheParCurve,
//								  TheParCurveDomain,
//								  Inter2_And_Domain2.Value(indice_1),
//								  Inter2_And_Domain2.Value(indice_2),
//								  EpsNul);
//	
//	Resultat2.SetValue(NbResultats,popResult);
	Resultat2.SetValue(NbResultats,
			   IntImpParGen_Intersector::FindV(t,Pt,TheImpTool,TheParCurve,
							   TheParCurveDomain,
							   Inter2_And_Domain2.Value(indice_1),
							   Inter2_And_Domain2.Value(indice_2),
							   EpsNul));
      }
    }
    else { //======= la borne1 n est pas sur le domaine ========
      if(IsOnTheImpCurveDomain2) {
	Standard_Real t;
	NbResultats++;
	t=TheImpCurveDomain.FirstParameter(); 
	
	Resultat1.SetValue(NbResultats,t);
	Resultat2.SetValue(NbResultats,
			   IntImpParGen_Intersector::FindV(t,Pt,TheImpTool,TheParCurve,
				 TheParCurveDomain,
				 Inter2_And_Domain2.Value(indice_1),
				 Inter2_And_Domain2.Value(indice_2),
				 EpsNul));
	
	NbResultats++;
	Resultat1.SetValue(NbResultats,Inter1.Value(indice_2));
	Resultat2.SetValue(NbResultats,Inter2_And_Domain2.Value(indice_2));
      }
      else {  //====== la borne2 et la borne1 sont hors domaine =====
	if(param1<TheImpCurveDomain.FirstParameter()
	   && param2>TheImpCurveDomain.LastParameter()) {
	  Standard_Real t;
	  NbResultats++;
	  t=TheImpCurveDomain.FirstParameter();
	  Resultat1.SetValue(NbResultats,t);
	  Resultat2.SetValue(NbResultats,
			     IntImpParGen_Intersector::FindV(t,Pt,TheImpTool,TheParCurve,
							     TheParCurveDomain,
							     Inter2_And_Domain2.Value(indice_1),
							     Inter2_And_Domain2.Value(indice_2),
							     EpsNul));


	  
	  NbResultats++;
	  t=TheImpCurveDomain.LastParameter();
	  Resultat1.SetValue(NbResultats,t);
	  Resultat2.SetValue(NbResultats,
			     IntImpParGen_Intersector::FindV(t,Pt,TheImpTool,TheParCurve,
				   TheParCurveDomain,
				   Inter2_And_Domain2.Value(indice_1),
				   Inter2_And_Domain2.Value(indice_2),
				   EpsNul));
	  
	}
      }
    }
  }
}
//======================================================================
//--     C o n s t r u c t e u r s     e t     P e r f o r m 
IntImpParGen_Intersector::IntImpParGen_Intersector() {
  done=Standard_False;
}
//----------------------------------------------------------------------
//--
IntImpParGen_Intersector::IntImpParGen_Intersector(const ImpTool& TheImpTool,
                                        const IntRes2d_Domain& TheImpCurveDomain,
                                        const ParCurve& TheParCurve,
                                        const IntRes2d_Domain& TheParCurveDomain,
					const Standard_Real TolConf,
					const Standard_Real Tol) {
  Perform(TheImpTool,TheImpCurveDomain,TheParCurve,TheParCurveDomain,TolConf,Tol);
}
//----------------------------------------------------------------------
//--
void IntImpParGen_Intersector::Perform(const ImpTool& TheImpTool,
                                        const IntRes2d_Domain& TheImpCurveDomain,
                                        const ParCurve& TheParCurve,
                                        const IntRes2d_Domain& TheParCurveDomain,
					const Standard_Real TolConf,
					const Standard_Real Tol) {


  Standard_Integer i,nb_segments_solution, nb_points_solution;
  Standard_Real param1,param2,EpsX, EpsNul, EpsDist;
  
  IntRes2d_Transition Trans1,Trans2;
  gp_Pnt2d pt1,pt2;
  gp_Vec2d Tan1,Tan2,Norm1,Norm2;
  IntRes2d_Position Pos1,Pos2;


  //----------------------------------------------
  //-- On teste apres appel aux maths si les bornes 
  //-- des domaines sont des solutions
  //-- 
  Standard_Boolean HeadOnImp =Standard_False;
  Standard_Boolean HeadOnPar =Standard_False;
  Standard_Boolean EndOnImp  =Standard_False;
  Standard_Boolean EndOnPar  =Standard_False;

  this->ResetFields();

  IntImpParGen_MyImpParTool TheImpParTool(TheImpTool,TheParCurve);

  if (! (TheParCurveDomain.HasFirstPoint() &&
         TheParCurveDomain.HasLastPoint())) {
    Standard_ConstructionError::Raise("Domaine sur courbe incorrect");
    }
  
  Standard_Integer nb_echantillons = ParTool::NbSamples(TheParCurve,
							TheParCurveDomain.FirstParameter(),
							TheParCurveDomain.LastParameter());

  EpsX = EPSX;
  if(EpsX>1.0e-10) EpsX = 1.0e-10;
  EpsNul=(TolConf<=1.0e-10)? 1.0e-10: TolConf;
  EpsDist=(Tol<=1.0e-10)? 1.0e-10: Tol;
  
  Standard_Real Tolerance_Angulaire=EpsDist;  
  


  if((TheParCurveDomain.LastParameter() - TheParCurveDomain.FirstParameter()) < 100.0*EpsX) {
    EpsX = (TheParCurveDomain.LastParameter() - TheParCurveDomain.FirstParameter())*0.01;
  }

    math_FunctionSample Sample2(TheParCurveDomain.FirstParameter(),
				TheParCurveDomain.LastParameter(),
				nb_echantillons);
    
    math_FunctionAllRoots Sol(TheImpParTool,
			      Sample2,
			      EpsX,
			      EpsDist,
			      EpsNul);
    
    if(!Sol.IsDone()) {done = Standard_False; return; }
    
    nb_segments_solution=Sol.NbIntervals();
    nb_points_solution=Sol.NbPoints();
    
    //--------------------------------------------------------------------
  //--   T r a i t e m e n t    d e s   P o i n t s   S o l u t i o n s
  for(i=1; i<=nb_points_solution; i++) {
    gp_Pnt2d Pt;
    param2=Sol.GetPoint(i);
    param1=FindU(param2,Pt,TheParCurve,TheImpTool);
  
    if(TheImpCurveDomain.IsClosed()) {
      param1 = IntImpParGen::NormalizeOnDomain( param1
				 ,TheImpCurveDomain);
    }
    
    Standard_Boolean IsOnTheImpCurveDomain=Standard_True;
    if(TheImpCurveDomain.HasFirstPoint()) { 
      if(param1<TheImpCurveDomain.FirstParameter()) {             
	if(Pt.Distance(TheImpCurveDomain.FirstPoint()) 
	   > TheImpCurveDomain.FirstTolerance()) {
	  IsOnTheImpCurveDomain=Standard_False; 
	}
      }
    }
    if(IsOnTheImpCurveDomain && TheImpCurveDomain.HasLastPoint()) {
      if(param1>TheImpCurveDomain.LastParameter()) {
	if(Pt.Distance(TheImpCurveDomain.LastPoint()) 
	   > TheImpCurveDomain.FirstTolerance()) {
	  IsOnTheImpCurveDomain=Standard_False; 
	}
      }
    }
    
    if(IsOnTheImpCurveDomain) {
      TheImpTool.D2(param1,pt1,Tan1,Norm1);
      ParTool::D2(TheParCurve,param2,pt2,Tan2,Norm2);
      
      IntImpParGen::DeterminePosition(Pos1,TheImpCurveDomain,pt1,param1);
      IntImpParGen::DeterminePosition(Pos2,TheParCurveDomain,pt2,param2);
      
      if(Pos1==IntRes2d_End)  EndOnImp  = Standard_True;
      else if(Pos1==IntRes2d_Head) HeadOnImp = Standard_True;
      if(Pos2==IntRes2d_End)  EndOnPar  = Standard_True;
      else if(Pos2==IntRes2d_Head) HeadOnPar = Standard_True;

      IntImpParGen::DetermineTransition(Pos1,Tan1,Norm1,Trans1,
			   Pos2,Tan2,Norm2,Trans2,
			   Tolerance_Angulaire);

      IntRes2d_IntersectionPoint IP(pt1,param1,param2
				    ,Trans1,Trans2
				    ,ReversedParameters());
      Insert(IP);
    }
  } 
  //-- F i n   d u   T r a i t e m e n t   d e s   P t s   S o l.


  //--------------------------------------------------------------------
  //--        T r a i t e m e n t   D e s   S e g m e n t s          ---
  //--------------------------------------------------------------------
  //--  On a N segments solution sur le domaine de V    soit au pire :
  //--    --> N segments solution sur le domaine de U 
  //--    -->2N segments si la courbe en U est fermee
  //--   

  TColStd_Array1OfReal Inter2_and_Domaine2(1,2+8*nb_segments_solution);
  TColStd_Array1OfReal Inter1(1,2+8*nb_segments_solution);

  Standard_Integer nb_segments_crees=0;

  for (Standard_Integer j2=1,j=1;j<=nb_segments_solution;j++,j2+=2) {
    Standard_Real param2_inf,param2_sup;
    Standard_Real param1_inf,param1_sup;
    gp_Pnt2d Ptemp;
    
    Sol.GetInterval(j,param2_inf,param2_sup);
    param1_inf=FindU(param2_inf,Ptemp,TheParCurve,TheImpTool);
    param1_sup=FindU(param2_sup,Ptemp,TheParCurve,TheImpTool);    

    //----------------------------------------------------------------------
    //--         C o u r b e    I m p l i c i t e    F e r m e e 

    if(TheImpCurveDomain.IsClosed()) {

      gp_Pnt2d Ptemp;
      gp_Vec2d T1,T2,N1,N2;
      Standard_Real param1_origine,param1_fin;

      TheImpCurveDomain.EquivalentParameters(param1_origine,param1_fin);
      Standard_Real Periode=param1_fin-param1_origine;

      while(param1_inf<param1_origine) { param1_inf+=Periode; }
      while(param1_sup<param1_origine) { param1_sup+=Periode; }      

      ParTool::D2(TheParCurve,param2_inf,Ptemp,T2,N2);
      TheImpTool.D2(param1_inf,Ptemp,T1,N1);
      if(T1.Magnitude()<=gp::Resolution()) T1=N1;
      if(T2.Magnitude()<=gp::Resolution()) T2=N2;

      if(T1.Dot(T2) >=0.0) {
	//---  param1_inf designe un point entrant (et T1 est vers la matiere)
	if(param1_inf>=param1_sup) {    param1_sup+=Periode;	}
      }
      else { //---  param1_inf : point sortant (et T1 est Hors matiere)
	if(param1_inf<=param1_sup) {    param1_inf+=Periode;     }
      }
      //--- On cree un nouveau segment decale de Periode
      //--  Exemple de Pb : Domaine PI/4  PI/2   et intervalle 0,PI
      //--                  Domaine 1.5PI 2.5PI  et intervalle 0,PI
      //--        -2pi                  0                2pi     
      //--   ------|--------------------|-----------------|-----------
      //--            [----------------------------]               Domaine
      //--                                   [~~~~~~~~~~~~~~~~~]   Inters.
      //--
      //--  On cree un nouvel intervalle 
      //--   interv decale
      //--  [a~~~~~~~~~~~~b]                 [a~~~~~~~~~~~~~~~b]  et  [a~~~]
      //--
      //

      if(TheImpCurveDomain.LastParameter() 
	 > ((param1_inf>param1_sup)? (param1_sup+Periode): 
	                              (param1_inf+Periode))) {
	Inter2_and_Domaine2.SetValue(j2,param2_inf);
	Inter1.SetValue(j2,param1_inf+Periode);
      
	Inter2_and_Domaine2.SetValue(j2+1,param2_sup);
	Inter1.SetValue(j2+1,param1_sup+Periode);     
	j2+=2;
	nb_segments_crees++;
      }
								       
      if(TheImpCurveDomain.FirstParameter() 
	 <((param1_inf<param1_sup)? (param1_sup-Periode): (param1_inf-Periode))) {
	Inter2_and_Domaine2.SetValue(j2,param2_inf);
	Inter1.SetValue(j2,param1_inf-Periode);
	
	Inter2_and_Domaine2.SetValue(j2+1,param2_sup);
	Inter1.SetValue(j2+1,param1_sup-Periode);     
	j2+=2;
	nb_segments_crees++;
      }
    }
    //--   F i n     C o u r b e    I m p l i c i t e    F e r m e e 
    //----------------------------------------------------------------------


    Inter2_and_Domaine2.SetValue(j2,param2_inf);
    Inter1.SetValue(j2,param1_inf);
    
    Inter2_and_Domaine2.SetValue(j2+1,param2_sup);
    Inter1.SetValue(j2+1,param1_sup);
  } 
  
  //------------------------------------------------------------------
  //--  INTER2_DOMAINE2 : Intersection AND CurveDomain : Function of PARAM2
  //--    INTER1        : Intersection AND CurveDomain : Function of PARAM1
  //------------------------------------------------------------------  
  //--
  TColStd_Array1OfReal Resultat1(1,2+(1+nb_segments_solution)*2);
  TColStd_Array1OfReal Resultat2(1,2+(1+nb_segments_solution)*2);
  nb_segments_solution+=nb_segments_crees;
  Standard_Integer NbResultats=nb_segments_solution*2;

  And_Domaine_Objet1_Intersections(TheImpTool,
				   TheParCurve,
				   TheImpCurveDomain,
				   TheParCurveDomain,
				   NbResultats,
				   Inter2_and_Domaine2,Inter1,
				   Resultat1,Resultat2,EpsNul);

  //~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
  //Calcule_Toutes_Transitions(NbResultats,
  //			     Resultat1,Resultat2,
  //			     TheImpTool,
  //			     TheImpCurveDomain,
  //			     TheParCurve,
  //			     TheParCurveDomain); 
  //~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
  //~~~ Fonction Calcule_Toutes_Transitions Repportee ici pour cause ~~~~~
  //~~~~~       D acces aux methodes Protected APPEND
  //~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
  {
    IntRes2d_Position Pos1,Pos2;
    IntRes2d_Transition Trans1,Trans2;
    gp_Vec2d Tan1,Tan2,Norm1,Norm2;
    gp_Pnt2d Pt1_on1,Pt2_on1,Pt1_on2,Pt2_on2;
    Standard_Real Param1_on1,Param2_on1,Param1_on2,Param2_on2;
    
    Standard_Real Dist_Mini_ImpCurve=EPSNUL;
    Standard_Real Tolerance_Angulaire=Dist_Mini_ImpCurve; 
    
    
    for(Standard_Integer i=1; i<=NbResultats ; i+=2) {
      Standard_Integer ip1=i+1;
      Standard_Boolean OnlyOnePoint=Standard_False;
      
      Param1_on1=Resultat1.Value(i);
      Param1_on2=Resultat2.Value(i);
      Param2_on1=Resultat1.Value(ip1);
      Param2_on2=Resultat2.Value(ip1);

      Pt1_on1=TheImpTool.Value(Param1_on1);
      Pt2_on1=TheImpTool.Value(Param2_on1);
      Pt1_on2=ParTool::Value(TheParCurve,Param1_on2);
      Pt2_on2=ParTool::Value(TheParCurve,Param2_on2);
      
      if(!TheImpCurveDomain.IsClosed()) { 
	if( Pt1_on1.Distance(Pt2_on1) <= Dist_Mini_ImpCurve ) {
	  if( Pt1_on2.Distance(Pt2_on2) <= Dist_Mini_ImpCurve ) {
	    OnlyOnePoint=Standard_True;
	  }
	}
      }  

      Param1_on1=IntImpParGen::NormalizeOnDomain(Param1_on1,TheImpCurveDomain);
      Param1_on2=IntImpParGen::NormalizeOnDomain(Param1_on2,TheParCurveDomain);

      TheImpTool.D2(Param1_on1,Pt1_on1,Tan1,Norm1);
      ParTool::D2(TheParCurve,Param1_on2,Pt1_on2,Tan2,Norm2);
      
      IntImpParGen::DeterminePosition(Pos1,TheImpCurveDomain,Pt1_on1,Param1_on1);
      IntImpParGen::DeterminePosition(Pos2,TheParCurveDomain,Pt1_on2,Param1_on2);

      if(Pos1==IntRes2d_End)  EndOnImp  = Standard_True;
      else if(Pos1==IntRes2d_Head) HeadOnImp = Standard_True;
      if(Pos2==IntRes2d_End)  EndOnPar  = Standard_True;
      else if(Pos2==IntRes2d_Head) HeadOnPar = Standard_True;
      

      IntImpParGen::DetermineTransition(Pos1,Tan1,Norm1,Trans1,
			   Pos2,Tan2,Norm2,Trans2,
			   Tolerance_Angulaire);
      
      //============== Detection du cas : L intersection est en bout
      //==============  sur les 2 domaines
      
      if(Pos1!=IntRes2d_Middle && Pos2!=IntRes2d_Middle) {
	Standard_Real m=0.5*(Pt1_on1.X() + Pt1_on2.X());
	Pt1_on1.SetX(m);
	m=0.5*(Pt1_on1.Y() + Pt1_on2.Y());
	Pt1_on1.SetY(m);
      }

      IntRes2d_IntersectionPoint new_p1(Pt1_on1
					,Param1_on1,Param1_on2
					,Trans1,Trans2
					,ReversedParameters());
      if(!OnlyOnePoint) {
	IntRes2d_IntersectionPoint new_p2;

	Param2_on1=IntImpParGen::NormalizeOnDomain(Param2_on1,TheImpCurveDomain);
	Param2_on2=IntImpParGen::NormalizeOnDomain(Param2_on2,TheParCurveDomain);

	TheImpTool.D2(Param2_on1,Pt2_on1,Tan1,Norm1);
	ParTool::D2(TheParCurve,Param2_on2,Pt2_on2,Tan2,Norm2);
	
	IntImpParGen::DeterminePosition(Pos1,TheImpCurveDomain,Pt2_on1,Param2_on1);
	IntImpParGen::DeterminePosition(Pos2,TheParCurveDomain,Pt2_on2,Param2_on2);
	
	if(Pos1==IntRes2d_End)  EndOnImp  = Standard_True;
	else if(Pos1==IntRes2d_Head) HeadOnImp = Standard_True;
	if(Pos2==IntRes2d_End)  EndOnPar  = Standard_True;
	else if(Pos2==IntRes2d_Head) HeadOnPar = Standard_True;

	IntImpParGen::DetermineTransition(Pos1,Tan1,Norm1,Trans1,
					  Pos2,Tan2,Norm2,Trans2,
					  Tolerance_Angulaire);
	
	
	//============== Detection du cas : L intersection est en bout
	//==============  sur les 2 domaines 
	
	if(Pos1!=IntRes2d_Middle && Pos2!=IntRes2d_Middle) {
	  Standard_Real m=0.5*(Pt2_on1.X() + Pt2_on2.X() );
	  Pt2_on1.SetX(m);
	  m=0.5*(Pt2_on1.Y() + Pt2_on2.Y());
	  Pt2_on1.SetY(m);
	}

	new_p2.SetValues(Pt2_on1,Param2_on1,Param2_on2
			 ,Trans1,Trans2
			 ,ReversedParameters());

	Standard_Boolean segopposite=((Tan1.Dot(Tan2) < 0.0)? 
				      Standard_True : Standard_False);
	
	IntRes2d_IntersectionSegment new_seg(new_p1,new_p2
					     ,segopposite
					     ,ReversedParameters());
	Append(new_seg);
      }
      else {
	Insert(new_p1); 
      }
    }
  } //~~~~~~~~~~~~  Fin du corps de la fonction Calc...Transitions~~~~~~~~~~
  
  //-------------------------------------------
  //-- On teste les points en bouts solutions
  //-- 
  if(!HeadOnImp && TheImpCurveDomain.HasFirstPoint()) { 
    if(!HeadOnPar) { 
      if(TheImpCurveDomain.FirstPoint().Distance(TheParCurveDomain.FirstPoint()) 
	 <= Max(TheImpCurveDomain.FirstTolerance(),TheParCurveDomain.FirstTolerance())) { 
	param1 = TheImpCurveDomain.FirstParameter();
	param2 = TheParCurveDomain.FirstParameter();
	TheImpTool.D2(param1,pt1,Tan1,Norm1);
	ParTool::D2(TheParCurve,param2,pt2,Tan2,Norm2);
	IntImpParGen::DetermineTransition(IntRes2d_Head,Tan1,Norm1,Trans1,
					  IntRes2d_Head,Tan2,Norm2,Trans2,
					  Tolerance_Angulaire);
	IntRes2d_IntersectionPoint IP(TheImpCurveDomain.FirstPoint(),
				      param1,param2,
				      Trans1,Trans2,
				      ReversedParameters());
	Insert(IP);
      }
    }
    if(!EndOnPar) { 
      if(TheImpCurveDomain.FirstPoint().Distance(TheParCurveDomain.LastPoint()) 
	 <= Max(TheImpCurveDomain.FirstTolerance(),TheParCurveDomain.LastTolerance())) { 
	param1 = TheImpCurveDomain.FirstParameter();
	param2 = TheParCurveDomain.LastParameter();
	TheImpTool.D2(param1,pt1,Tan1,Norm1);
	ParTool::D2(TheParCurve,param2,pt2,Tan2,Norm2);
	IntImpParGen::DetermineTransition(IntRes2d_Head,Tan1,Norm1,Trans1,
					  IntRes2d_End ,Tan2,Norm2,Trans2,
					  Tolerance_Angulaire);
	IntRes2d_IntersectionPoint IP(TheImpCurveDomain.FirstPoint(),
				      param1,param2,
				      Trans1,Trans2,
				      ReversedParameters());
	Insert(IP);
      }
    }
  }
  
  if(!EndOnImp && TheImpCurveDomain.HasLastPoint()) { 
    if(!HeadOnPar) { 
      if(TheImpCurveDomain.LastPoint().Distance(TheParCurveDomain.FirstPoint()) 
	 <= Max(TheImpCurveDomain.LastTolerance(),TheParCurveDomain.FirstTolerance())) {
	param1 = TheImpCurveDomain.LastParameter();
	param2 = TheParCurveDomain.FirstParameter();
	TheImpTool.D2(param1,pt1,Tan1,Norm1);
	ParTool::D2(TheParCurve,param2,pt2,Tan2,Norm2);
	IntImpParGen::DetermineTransition(IntRes2d_End,Tan1,Norm1,Trans1,
					  IntRes2d_Head,Tan2,Norm2,Trans2,
					  Tolerance_Angulaire);
	IntRes2d_IntersectionPoint IP(TheImpCurveDomain.LastPoint(),
				      param1,param2,
				      Trans1,Trans2,
				      ReversedParameters());
	Insert(IP);
      }
    }
    if(!EndOnPar) { 
      if(TheImpCurveDomain.LastPoint().Distance(TheParCurveDomain.LastPoint()) 
	 <= Max(TheImpCurveDomain.LastTolerance(),TheParCurveDomain.LastTolerance())) {
	param1 = TheImpCurveDomain.LastParameter();
	param2 = TheParCurveDomain.LastParameter();
	TheImpTool.D2(param1,pt1,Tan1,Norm1);
	ParTool::D2(TheParCurve,param2,pt2,Tan2,Norm2);
	IntImpParGen::DetermineTransition(IntRes2d_End,Tan1,Norm1,Trans1,
					  IntRes2d_End,Tan2,Norm2,Trans2,
					  Tolerance_Angulaire);
	IntRes2d_IntersectionPoint IP(TheImpCurveDomain.LastPoint(),
				      param1,param2,
				      Trans1,Trans2,
				      ReversedParameters());
	Insert(IP);
      }
    }
  }
  done=Standard_True; 
}






Standard_Real IntImpParGen_Intersector::FindU(const Standard_Real parameter
					      ,gp_Pnt2d& point
					      ,const ParCurve& TheParCurve
					      ,const ImpTool& TheImpTool) const 
{
  point=ParTool::Value(TheParCurve,parameter);
  return(TheImpTool.FindParameter(point));
}

Standard_Real IntImpParGen_Intersector::FindV(const Standard_Real parameter
		  ,gp_Pnt2d& point
		  ,const ImpTool& TheImpTool
		  ,const ParCurve& TheParCurve
		  ,const IntRes2d_Domain& TheParCurveDomain
		  ,const Standard_Real V0
		  ,const Standard_Real V1
		  ,const Standard_Real Tolerance) const 
{
  point=TheImpTool.Value(parameter);
  if(TheParCurveDomain.IsClosed()) {
    Standard_Real V = ProjectOnPCurveTool::FindParameter(TheParCurve,
							 point,
							 Tolerance);
    return(IntImpParGen::NormalizeOnDomain(V,TheParCurveDomain));
  }
  else {
    Standard_Real VV0 = V0;
    Standard_Real VV1 = V1;
    if(V1<V0) { VV0 = V1; VV1 = V0; } 
    //-- ??????????????????????????????????????????????????????????????????????
    //-- Modif le 15 Septembre 1992 : On Teste le parametre retourne 
    //--??????????????????????????????????????????????????????????????????????
    Standard_Real X = ProjectOnPCurveTool::FindParameter(TheParCurve,
							 point,
							 VV0,VV1,Tolerance);
    if(X>VV1) X=VV1; else if(X<VV0) X=VV0;
    return(X);
  }
}