// Created on: 1992-03-02
// Created by: Laurent BUCHARD
// Copyright (c) 1992-1999 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 <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 




//======================================================================
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())) {
    throw Standard_ConstructionError("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_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
  //~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
  {
    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 ToleranceAngulaireDistMini = Dist_Mini_ImpCurve;


    for (Standard_Integer k = 1; k <= NbResultats; k += 2) {
      Standard_Integer ip1 = k + 1;
      Standard_Boolean OnlyOnePoint = Standard_False;

      Param1_on1 = Resultat1.Value(k);
      Param1_on2 = Resultat2.Value(k);
      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,
			   ToleranceAngulaireDistMini);

      //============== 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,
					  ToleranceAngulaireDistMini);


        //============== 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);
  }
}