// File:	GeomFill_GuideTrihedronAC.cxx
// Creted:	Tue Jun 23 15:39:24 1998
// Author:	Stephanie HUMEAU
//		<shu@sun17>


#include <GeomFill_GuideTrihedronAC.ixx>

#include <gp_Pnt.hxx>
#include <gp_Dir.hxx>
#include <gp_Vec.hxx>
#include <Precision.hxx>
#include <TColStd_SequenceOfReal.hxx>

#include <Approx_CurvlinFunc.hxx>
#include <Adaptor3d_Curve.hxx>
#include <GeomAdaptor.hxx>
#include <GeomAdaptor_HCurve.hxx>

#include <GeomFill_Frenet.hxx>
#include <GeomLib.hxx>


//=======================================================================
//function : GuideTrihedron
//purpose  : Constructor
//=======================================================================
 GeomFill_GuideTrihedronAC::GeomFill_GuideTrihedronAC(const Handle(Adaptor3d_HCurve) & guide)
{
  myCurve.Nullify();
  myGuide =  guide;
  myTrimG =  guide;
  myGuideAC = new (Approx_CurvlinFunc) (myGuide,1.e-7);
  Lguide = myGuideAC->GetLength(); 
  UTol = STol = Precision::PConfusion();
  Orig1 = 0; // origines pour le cas path multi-edges
  Orig2 = 1;
}

//=======================================================================
//function : Guide
//purpose  : calculation of trihedron
//=======================================================================

 Handle(Adaptor3d_HCurve) GeomFill_GuideTrihedronAC::Guide()const
{
  return myGuide;
}

//=======================================================================
//function : D0
//purpose  : calculation of trihedron
//=======================================================================
 Standard_Boolean GeomFill_GuideTrihedronAC::D0(const Standard_Real Param,
						gp_Vec& Tangent,
						gp_Vec& Normal,
						gp_Vec& BiNormal) 
{ 
  Standard_Real s = myCurveAC->GetSParameter(Param); // abscisse curviligne <=> Param
  Standard_Real OrigG = Orig1 + s*(Orig2-Orig1); // abscisse curv sur le guide (cas multi-edges)
  Standard_Real tG = myGuideAC->GetUParameter(myGuide->GetCurve(), OrigG, 1); // param <=> s sur theGuide

  gp_Pnt P, PG;
  gp_Vec To, B;
  myTrimmed->D1(Param, P, To);//point et derivee au parametre Param sur myCurve
  myTrimG->D0(tG, PG);// point au parametre tG sur myGuide
 
  gp_Vec n (P, PG); // vecteur definissant la normale
  
  Normal = n.Normalized();
  B = To.Crossed(Normal);
  BiNormal = B/B.Magnitude();
  Tangent = Normal.Crossed(BiNormal);
  Tangent.Normalize();

  return Standard_True;
}

//=======================================================================
//function : D1
//purpose  : calculation of trihedron and first derivative
//=======================================================================
 Standard_Boolean GeomFill_GuideTrihedronAC::D1(const Standard_Real Param,
						gp_Vec& Tangent,
						gp_Vec& DTangent,
						gp_Vec& Normal,
						gp_Vec& DNormal,
						gp_Vec& BiNormal,	   
						gp_Vec& DBiNormal) 
{ 
//triedre
  Standard_Real s, OrigG, tG, dtg; 
 // abscisse curviligne <=> Param
  s = myCurveAC->GetSParameter(Param);
  // parametre <=> s sur theGuide
  OrigG = Orig1 + s*(Orig2-Orig1); 
  // parametre <=> s sur  theGuide
  tG = myGuideAC->GetUParameter(myGuide->GetCurve(), OrigG, 1); 

  gp_Pnt P, PG;
  gp_Vec To, DTo, TG, B, BPrim;
  
  myTrimmed->D2(Param, P, To, DTo);
  myTrimG->D1(tG, PG, TG);
  
  gp_Vec n (P, PG), dn; 
  Standard_Real Norm = n.Magnitude();
  if (Norm < 1.e-12) {
    Norm = 1;
#if DEB
    cout << "GuideTrihedronAC : Normal indefinie" << endl;
#endif
  }
  
  n /= Norm;
  //derivee de n par rapport a Param
  dtg = (Orig2-Orig1)*(To.Magnitude()/TG.Magnitude())*(Lguide/L);
  dn.SetLinearForm(dtg, TG, -1, To);
  dn /= Norm;

// triedre
  Normal = n;
  B = To.Crossed(Normal);
  Standard_Real NormB = B.Magnitude();
  B/= NormB;

  BiNormal = B; 

  Tangent = Normal.Crossed(BiNormal);
  Tangent.Normalize();

// derivee premiere
  DNormal.SetLinearForm(-(n.Dot(dn)), n, dn);  
 
  BPrim.SetLinearForm(DTo.Crossed(Normal), To.Crossed(DNormal));

  DBiNormal.SetLinearForm(-(B.Dot(BPrim)), B, BPrim);
  DBiNormal /= NormB;

  DTangent.SetLinearForm(Normal.Crossed(DBiNormal), DNormal.Crossed(BiNormal));

  return Standard_True;
}


//=======================================================================
//function : D2
//purpose  : calculation of trihedron and derivatives
//=======================================================================
 Standard_Boolean GeomFill_GuideTrihedronAC::D2(const Standard_Real Param,
						gp_Vec& Tangent,
						gp_Vec& DTangent,
						gp_Vec& D2Tangent,
						gp_Vec& Normal,
						gp_Vec& DNormal,
						gp_Vec& D2Normal,
						gp_Vec& BiNormal,			  
						gp_Vec& DBiNormal,		  
						gp_Vec& D2BiNormal) 
{ 
  // abscisse curviligne <=> Param
  Standard_Real s = myCurveAC->GetSParameter(Param); 
  // parametre <=> s sur theGuide
  Standard_Real OrigG = Orig1 + s*(Orig2-Orig1); 
  Standard_Real tG = myGuideAC->GetUParameter(myGuide->GetCurve(), 
					      OrigG, 1); 

  gp_Pnt P,PG;
  gp_Vec TG,DTG;
//  gp_Vec To,DTo,D2To,B;
  gp_Vec To,DTo,D2To;
  
  myTrimmed->D3(Param, P, To, DTo, D2To);
  myTrimG->D2(tG, PG, TG, DTG);

  Standard_Real NTo = To.Magnitude();
  Standard_Real N2To = To.SquareMagnitude();
  Standard_Real NTG = TG.Magnitude();
  Standard_Real N2Tp = TG.SquareMagnitude();
  Standard_Real d2tp_dt2, dtg_dt; 
  dtg_dt = (Orig2-Orig1)*(NTo/NTG)*(Lguide/L);

  gp_Vec n(P, PG); // vecteur definissant la normale
  Standard_Real Norm = n.Magnitude(), ndn;
  //derivee de n par rapport a Param
  gp_Vec dn, d2n;
  dn.SetLinearForm(dtg_dt, TG, -1, To);

  //derivee seconde de tG par rapport a Param
  d2tp_dt2 = (Orig2-Orig1)*(Lguide/L) * 
    ( DTo.Dot(To) / (NTo*NTG) - N2To*TG*DTG*(Lguide/L) / (N2Tp*N2Tp));
  //derivee seconde de n par rapport a Param
  d2n.SetLinearForm(dtg_dt*dtg_dt,DTG, d2tp_dt2, TG, -1, DTo);

  if (Norm > 1.e-9) {
    n /= Norm;
    dn /= Norm;
    d2n /= Norm;
  }
//triedre
  Normal = n;

  gp_Vec TN, DTN, D2TN;
  TN  = To.Crossed(Normal);


  Standard_Real Norma = TN.Magnitude();
  if (Norma > 1.e-9) TN /= Norma;

  BiNormal = TN; 

  Tangent = Normal.Crossed(BiNormal);
//  Tangent.Normalize();

// derivee premiere du triedre
//  gp_Vec DTN = DTo.Crossed(Normal);
//  gp_Vec TDN = To.Crossed(DNormal);
//  gp_Vec DT = DTN + TDN;

  ndn = n.Dot(dn);
  DNormal.SetLinearForm(-ndn, n, dn); 

  DTN.SetLinearForm(DTo.Crossed(Normal),  To.Crossed(DNormal));
  DTN /= Norma;
  Standard_Real TNDTN = TN.Dot(DTN);

  DBiNormal.SetLinearForm(-TNDTN, TN, DTN);

  DTangent.SetLinearForm(Normal.Crossed(DBiNormal),
			 DNormal.Crossed(BiNormal));


//derivee seconde du triedre
  DTo.Crossed(DNormal);
  Standard_Real TN2 = TN.SquareMagnitude();

  D2Normal.SetLinearForm(-2*ndn, dn, 
			 3*ndn*ndn - (dn.SquareMagnitude() + n.Dot(d2n)),n,
			 d2n);
			 

  D2TN.SetLinearForm(1, D2To.Crossed(Normal), 
		     2, DTo.Crossed(DNormal),
		     To.Crossed(D2Normal));
  D2TN /= Norma;

  D2BiNormal.SetLinearForm(-2*TNDTN, DTN, 
			   3*TNDTN*TNDTN - (TN2 + TN.Dot(D2TN)), TN,
			   D2TN);
    
  D2Tangent.SetLinearForm(1, D2Normal.Crossed(BiNormal),
			  2, DNormal.Crossed(DBiNormal), 
			  Normal.Crossed(D2BiNormal) );

//  return Standard_True;
  return Standard_False;

}


//=======================================================================
//function : Copy
//purpose  : 
//=======================================================================
 Handle(GeomFill_TrihedronLaw) GeomFill_GuideTrihedronAC::Copy() const
{
 Handle(GeomFill_GuideTrihedronAC) copy = 
   new (GeomFill_GuideTrihedronAC) (myGuide);
 copy->SetCurve(myCurve);
 copy->Origine(Orig1,Orig2);
 return copy;
} 

//=======================================================================
//function : SetCurve
//purpose  : 
//=======================================================================
 void GeomFill_GuideTrihedronAC::SetCurve(const Handle(Adaptor3d_HCurve)& C) 
{
  myCurve = C;
  myTrimmed = C;
  if (!myCurve.IsNull()) {
    myCurveAC = new (Approx_CurvlinFunc) (C,1.e-7);
    L = myCurveAC->GetLength();
//    CorrectOrient(myGuide);
  }
}


//=======================================================================
//function : NbIntervals
//purpose  : 
//=======================================================================
 Standard_Integer GeomFill_GuideTrihedronAC::NbIntervals(const GeomAbs_Shape S) const
{
  Standard_Integer Nb;
  Nb = myCurveAC->NbIntervals(S);
  TColStd_Array1OfReal DiscC(1, Nb+1);
  myCurveAC->Intervals(DiscC, S);
  Nb =  myGuideAC->NbIntervals(S);
  TColStd_Array1OfReal DiscG(1, Nb+1);
  myGuideAC->Intervals(DiscG, S);

  TColStd_SequenceOfReal Seq;
  GeomLib::FuseIntervals(DiscC, DiscG, Seq);
  
  return Seq.Length()-1;

}

//======================================================================
//function :Intervals
//purpose  : 
//=======================================================================
 void GeomFill_GuideTrihedronAC::Intervals(TColStd_Array1OfReal& TT,
					   const GeomAbs_Shape S) const
{
  Standard_Integer Nb, ii;
  Nb = myCurveAC->NbIntervals(S);
  TColStd_Array1OfReal DiscC(1, Nb+1);
  myCurveAC->Intervals(DiscC, S);
  Nb =  myGuideAC->NbIntervals(S);
  TColStd_Array1OfReal DiscG(1, Nb+1);
  myGuideAC->Intervals(DiscG, S);

  TColStd_SequenceOfReal Seq;
  GeomLib::FuseIntervals(DiscC, DiscG, Seq); 
  Nb = Seq.Length();

  for (ii=1; ii<=Nb; ii++) {
    TT(ii) =  myCurveAC->GetUParameter(myCurve->GetCurve(), Seq(ii), 1);
  }

}

//======================================================================
//function :SetInterval
//purpose  : 
//=======================================================================
void GeomFill_GuideTrihedronAC::SetInterval(const Standard_Real First,
					    const Standard_Real Last) 
{
  myTrimmed = myCurve->Trim(First, Last, UTol); 
  Standard_Real Sf, Sl, U;

  Sf = myCurveAC->GetSParameter(First);
  Sl = myCurveAC->GetSParameter(Last);
//  if (Sl>1) Sl=1;
//  myCurveAC->Trim(Sf, Sl, UTol);

  U = Orig1 + Sf*(Orig2-Orig1);
  Sf = myGuideAC->GetUParameter(myGuide->GetCurve(), U, 1);
  U = Orig1 + Sl*(Orig2-Orig1);
  Sl = myGuideAC->GetUParameter(myGuide->GetCurve(), U, 1);
  myTrimG = myGuide->Trim(Sf, Sl, UTol); 
}



//=======================================================================
//function : GetAverageLaw
//purpose  : 
//=======================================================================
 void GeomFill_GuideTrihedronAC::GetAverageLaw(gp_Vec& ATangent,
					       gp_Vec& ANormal,
					       gp_Vec& ABiNormal) 
{
  Standard_Integer ii;
  Standard_Real t, Delta = (myCurve->LastParameter() - 
			    myCurve->FirstParameter())/20.001;

  ATangent.SetCoord(0.,0.,0.);
  ANormal.SetCoord(0.,0.,0.);
  ABiNormal.SetCoord(0.,0.,0.);
  gp_Vec T, N, B;
  
  for (ii=1; ii<=20; ii++) {
    t = myCurve->FirstParameter() +(ii-1)*Delta;
    D0(t, T, N, B);
    ATangent +=T;
    ANormal  +=N;
    ABiNormal+=B;
  }
  ATangent  /= 20;
  ANormal   /= 20;
  ABiNormal /= 20; 
}

//=======================================================================
//function : IsConstant
//purpose  : 
//=======================================================================
 Standard_Boolean GeomFill_GuideTrihedronAC::IsConstant() const
{
  return  Standard_False;
}

//=======================================================================
//function : IsOnlyBy3dCurve
//purpose  : 
//=======================================================================
 Standard_Boolean GeomFill_GuideTrihedronAC::IsOnlyBy3dCurve() const
{
  return Standard_False;
}

//=======================================================================
//function : Origine
//purpose  : 
//=======================================================================
 void GeomFill_GuideTrihedronAC::Origine(const Standard_Real OrACR1,
					 const Standard_Real OrACR2)
{
  Orig1 = OrACR1;
  Orig2 = OrACR2;
}