[occt.git] / src / GeomFill / GeomFill_GuideTrihedronAC.cxx

// Created by: Stephanie HUMEAU
// Copyright (c) 1998-1999 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.

// Created:	Tue Jun 23 15:39:24 1998

#include <Adaptor3d_Curve.hxx>
#include <Approx_CurvlinFunc.hxx>
#include <GeomAdaptor_Curve.hxx>
#include <GeomFill_Frenet.hxx>
#include <GeomFill_GuideTrihedronAC.hxx>
#include <GeomFill_TrihedronLaw.hxx>
#include <GeomLib.hxx>
#include <gp_Pnt.hxx>
#include <gp_Vec.hxx>
#include <Precision.hxx>
#include <Standard_Type.hxx>
#include <TColStd_SequenceOfReal.hxx>

IMPLEMENT_STANDARD_RTTIEXT(GeomFill_GuideTrihedronAC,GeomFill_TrihedronWithGuide)

//=======================================================================
//function : GuideTrihedron
//purpose  : Constructor
//=======================================================================
GeomFill_GuideTrihedronAC::GeomFill_GuideTrihedronAC(const Handle(Adaptor3d_Curve) & 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_Curve) 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, 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
  myCurPointOnGuide = PG;
 
  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, OrigG, 1); 

  gp_Pnt P, PG;
  gp_Vec To, DTo, TG, B, BPrim;
  
  myTrimmed->D2(Param, P, To, DTo);
  myTrimG->D1(tG, PG, TG);
  myCurPointOnGuide = PG;
  
  gp_Vec n (P, PG), dn; 
  Standard_Real Norm = n.Magnitude();
  if (Norm < 1.e-12) {
    Norm = 1;
#ifdef OCCT_DEBUG
    std::cout << "GuideTrihedronAC : Normal indefinie" << std::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, 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);
  myCurPointOnGuide = PG;

  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
#ifdef OCCT_DEBUG
  gp_Vec DTDN = DTo.Crossed(DNormal); (void)DTDN;
#endif
  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  : 
//=======================================================================
 Standard_Boolean GeomFill_GuideTrihedronAC::SetCurve(const Handle(Adaptor3d_Curve)& C) 
{
  myCurve = C;
  myTrimmed = C;
  if (!myCurve.IsNull()) {
    myCurveAC = new (Approx_CurvlinFunc) (C,1.e-7);
    L = myCurveAC->GetLength();
//    CorrectOrient(myGuide);
  }
  return Standard_True;
}


//=======================================================================
//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, 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, U, 1);
  U = Orig1 + Sl*(Orig2-Orig1);
  Sl = myGuideAC->GetUParameter(*myGuide, 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;
}
Commit	Line	Data
b311480e	1	// Created by: Stephanie HUMEAU
b311480e	2	// Copyright (c) 1998-1999 Matra Datavision
973c2be1	3	// Copyright (c) 1999-2014 OPEN CASCADE SAS
b311480e	4	//
973c2be1	5	// This file is part of Open CASCADE Technology software library.
b311480e	6	//
d5f74e42	7	// This library is free software; you can redistribute it and/or modify it under
d5f74e42	8	// the terms of the GNU Lesser General Public License version 2.1 as published
973c2be1	9	// by the Free Software Foundation, with special exception defined in the file
	10	// OCCT_LGPL_EXCEPTION.txt. Consult the file LICENSE_LGPL_21.txt included in OCCT
	11	// distribution for complete text of the license and disclaimer of any warranty.
b311480e	12	//
973c2be1	13	// Alternatively, this file may be used under the terms of Open CASCADE
973c2be1	14	// commercial license or contractual agreement.
b311480e	15
54adc5e9	16	// Created: Tue Jun 23 15:39:24 1998
7fd59977	17
7fd59977	18	#include <Adaptor3d_Curve.hxx>
42cf5bc1	19	#include <Approx_CurvlinFunc.hxx>
c22b52d6	20	#include <GeomAdaptor_Curve.hxx>
7fd59977	21	#include <GeomFill_Frenet.hxx>
42cf5bc1	22	#include <GeomFill_GuideTrihedronAC.hxx>
42cf5bc1	23	#include <GeomFill_TrihedronLaw.hxx>
7fd59977	24	#include <GeomLib.hxx>
42cf5bc1	25	#include <gp_Pnt.hxx>
	26	#include <gp_Vec.hxx>
	27	#include <Precision.hxx>
42cf5bc1	28	#include <Standard_Type.hxx>
42cf5bc1	29	#include <TColStd_SequenceOfReal.hxx>
7fd59977	30
92efcf78	31	IMPLEMENT_STANDARD_RTTIEXT(GeomFill_GuideTrihedronAC,GeomFill_TrihedronWithGuide)
92efcf78	32
7fd59977	33	//=======================================================================
	34	//function : GuideTrihedron
	35	//purpose : Constructor
	36	//=======================================================================
c22b52d6	37	GeomFill_GuideTrihedronAC::GeomFill_GuideTrihedronAC(const Handle(Adaptor3d_Curve) & guide)
7fd59977	38	{
	39	myCurve.Nullify();
	40	myGuide = guide;
	41	myTrimG = guide;
	42	myGuideAC = new (Approx_CurvlinFunc) (myGuide,1.e-7);
	43	Lguide = myGuideAC->GetLength();
	44	UTol = STol = Precision::PConfusion();
	45	Orig1 = 0; // origines pour le cas path multi-edges
	46	Orig2 = 1;
	47	}
	48
	49	//=======================================================================
	50	//function : Guide
	51	//purpose : calculation of trihedron
	52	//=======================================================================
	53
c22b52d6	54	Handle(Adaptor3d_Curve) GeomFill_GuideTrihedronAC::Guide()const
7fd59977	55	{
	56	return myGuide;
	57	}
	58
	59	//=======================================================================
	60	//function : D0
	61	//purpose : calculation of trihedron
	62	//=======================================================================
	63	Standard_Boolean GeomFill_GuideTrihedronAC::D0(const Standard_Real Param,
	64	gp_Vec& Tangent,
	65	gp_Vec& Normal,
	66	gp_Vec& BiNormal)
	67	{
	68	Standard_Real s = myCurveAC->GetSParameter(Param); // abscisse curviligne <=> Param
	69	Standard_Real OrigG = Orig1 + s*(Orig2-Orig1); // abscisse curv sur le guide (cas multi-edges)
c22b52d6	70	Standard_Real tG = myGuideAC->GetUParameter (*myGuide, OrigG, 1); // param <=> s sur theGuide
7fd59977	71
	72	gp_Pnt P, PG;
	73	gp_Vec To, B;
	74	myTrimmed->D1(Param, P, To);//point et derivee au parametre Param sur myCurve
	75	myTrimG->D0(tG, PG);// point au parametre tG sur myGuide
f9032cf2	76	myCurPointOnGuide = PG;
7fd59977	77
	78	gp_Vec n (P, PG); // vecteur definissant la normale
	79
	80	Normal = n.Normalized();
	81	B = To.Crossed(Normal);
	82	BiNormal = B/B.Magnitude();
	83	Tangent = Normal.Crossed(BiNormal);
	84	Tangent.Normalize();
	85
	86	return Standard_True;
	87	}
	88
	89	//=======================================================================
	90	//function : D1
	91	//purpose : calculation of trihedron and first derivative
	92	//=======================================================================
	93	Standard_Boolean GeomFill_GuideTrihedronAC::D1(const Standard_Real Param,
	94	gp_Vec& Tangent,
	95	gp_Vec& DTangent,
	96	gp_Vec& Normal,
	97	gp_Vec& DNormal,
	98	gp_Vec& BiNormal,
	99	gp_Vec& DBiNormal)
	100	{
	101	//triedre
	102	Standard_Real s, OrigG, tG, dtg;
	103	// abscisse curviligne <=> Param
	104	s = myCurveAC->GetSParameter(Param);
	105	// parametre <=> s sur theGuide
	106	OrigG = Orig1 + s*(Orig2-Orig1);
	107	// parametre <=> s sur theGuide
c22b52d6	108	tG = myGuideAC->GetUParameter (*myGuide, OrigG, 1);
7fd59977	109
	110	gp_Pnt P, PG;
	111	gp_Vec To, DTo, TG, B, BPrim;
	112
	113	myTrimmed->D2(Param, P, To, DTo);
	114	myTrimG->D1(tG, PG, TG);
f9032cf2	115	myCurPointOnGuide = PG;
7fd59977	116
	117	gp_Vec n (P, PG), dn;
	118	Standard_Real Norm = n.Magnitude();
	119	if (Norm < 1.e-12) {
	120	Norm = 1;
0797d9d3	121	#ifdef OCCT_DEBUG
04232180	122	std::cout << "GuideTrihedronAC : Normal indefinie" << std::endl;
7fd59977	123	#endif
	124	}
	125
	126	n /= Norm;
	127	//derivee de n par rapport a Param
	128	dtg = (Orig2-Orig1)(To.Magnitude()/TG.Magnitude())(Lguide/L);
	129	dn.SetLinearForm(dtg, TG, -1, To);
	130	dn /= Norm;
	131
	132	// triedre
	133	Normal = n;
	134	B = To.Crossed(Normal);
	135	Standard_Real NormB = B.Magnitude();
	136	B/= NormB;
	137
	138	BiNormal = B;
	139
	140	Tangent = Normal.Crossed(BiNormal);
	141	Tangent.Normalize();
	142
	143	// derivee premiere
	144	DNormal.SetLinearForm(-(n.Dot(dn)), n, dn);
	145
	146	BPrim.SetLinearForm(DTo.Crossed(Normal), To.Crossed(DNormal));
	147
	148	DBiNormal.SetLinearForm(-(B.Dot(BPrim)), B, BPrim);
	149	DBiNormal /= NormB;
	150
	151	DTangent.SetLinearForm(Normal.Crossed(DBiNormal), DNormal.Crossed(BiNormal));
	152
	153	return Standard_True;
	154	}
	155
	156
	157	//=======================================================================
	158	//function : D2
	159	//purpose : calculation of trihedron and derivatives
	160	//=======================================================================
	161	Standard_Boolean GeomFill_GuideTrihedronAC::D2(const Standard_Real Param,
	162	gp_Vec& Tangent,
	163	gp_Vec& DTangent,
	164	gp_Vec& D2Tangent,
	165	gp_Vec& Normal,
	166	gp_Vec& DNormal,
	167	gp_Vec& D2Normal,
	168	gp_Vec& BiNormal,
	169	gp_Vec& DBiNormal,
	170	gp_Vec& D2BiNormal)
	171	{
	172	// abscisse curviligne <=> Param
	173	Standard_Real s = myCurveAC->GetSParameter(Param);
	174	// parametre <=> s sur theGuide
	175	Standard_Real OrigG = Orig1 + s*(Orig2-Orig1);
c22b52d6	176	Standard_Real tG = myGuideAC->GetUParameter (*myGuide, OrigG, 1);
7fd59977	177
	178	gp_Pnt P,PG;
	179	gp_Vec TG,DTG;
	180	// gp_Vec To,DTo,D2To,B;
	181	gp_Vec To,DTo,D2To;
	182
	183	myTrimmed->D3(Param, P, To, DTo, D2To);
	184	myTrimG->D2(tG, PG, TG, DTG);
f9032cf2	185	myCurPointOnGuide = PG;
7fd59977	186
	187	Standard_Real NTo = To.Magnitude();
	188	Standard_Real N2To = To.SquareMagnitude();
	189	Standard_Real NTG = TG.Magnitude();
	190	Standard_Real N2Tp = TG.SquareMagnitude();
	191	Standard_Real d2tp_dt2, dtg_dt;
	192	dtg_dt = (Orig2-Orig1)(NTo/NTG)(Lguide/L);
	193
	194	gp_Vec n(P, PG); // vecteur definissant la normale
	195	Standard_Real Norm = n.Magnitude(), ndn;
7fd59977	196	//derivee de n par rapport a Param
	197	gp_Vec dn, d2n;
	198	dn.SetLinearForm(dtg_dt, TG, -1, To);
	199
	200	//derivee seconde de tG par rapport a Param
	201	d2tp_dt2 = (Orig2-Orig1)(Lguide/L)
	202	( DTo.Dot(To) / (NToNTG) - N2ToTGDTG(Lguide/L) / (N2Tp*N2Tp));
	203	//derivee seconde de n par rapport a Param
	204	d2n.SetLinearForm(dtg_dt*dtg_dt,DTG, d2tp_dt2, TG, -1, DTo);
	205
	206	if (Norm > 1.e-9) {
	207	n /= Norm;
	208	dn /= Norm;
	209	d2n /= Norm;
	210	}
	211	//triedre
	212	Normal = n;
	213
	214	gp_Vec TN, DTN, D2TN;
	215	TN = To.Crossed(Normal);
	216
	217
	218	Standard_Real Norma = TN.Magnitude();
	219	if (Norma > 1.e-9) TN /= Norma;
	220
	221	BiNormal = TN;
	222
	223	Tangent = Normal.Crossed(BiNormal);
	224	// Tangent.Normalize();
	225
	226	// derivee premiere du triedre
	227	// gp_Vec DTN = DTo.Crossed(Normal);
	228	// gp_Vec TDN = To.Crossed(DNormal);
	229	// gp_Vec DT = DTN + TDN;
	230
	231	ndn = n.Dot(dn);
	232	DNormal.SetLinearForm(-ndn, n, dn);
	233
	234	DTN.SetLinearForm(DTo.Crossed(Normal), To.Crossed(DNormal));
	235	DTN /= Norma;
	236	Standard_Real TNDTN = TN.Dot(DTN);
	237
	238	DBiNormal.SetLinearForm(-TNDTN, TN, DTN);
	239
	240	DTangent.SetLinearForm(Normal.Crossed(DBiNormal),
	241	DNormal.Crossed(BiNormal));
	242
	243
	244	//derivee seconde du triedre
0797d9d3	245	#ifdef OCCT_DEBUG
76363522	246	gp_Vec DTDN = DTo.Crossed(DNormal); (void)DTDN;
7fd59977	247	#endif
	248	Standard_Real TN2 = TN.SquareMagnitude();
	249
	250	D2Normal.SetLinearForm(-2*ndn, dn,
	251	3ndnndn - (dn.SquareMagnitude() + n.Dot(d2n)),n,
	252	d2n);
	253
	254
	255	D2TN.SetLinearForm(1, D2To.Crossed(Normal),
	256	2, DTo.Crossed(DNormal),
	257	To.Crossed(D2Normal));
	258	D2TN /= Norma;
	259
	260	D2BiNormal.SetLinearForm(-2*TNDTN, DTN,
	261	3TNDTNTNDTN - (TN2 + TN.Dot(D2TN)), TN,
	262	D2TN);
	263
	264	D2Tangent.SetLinearForm(1, D2Normal.Crossed(BiNormal),
	265	2, DNormal.Crossed(DBiNormal),
	266	Normal.Crossed(D2BiNormal) );
	267
	268	// return Standard_True;
	269	return Standard_False;
	270
	271	}
	272
	273
	274	//=======================================================================
	275	//function : Copy
	276	//purpose :
	277	//=======================================================================
	278	Handle(GeomFill_TrihedronLaw) GeomFill_GuideTrihedronAC::Copy() const
	279	{
	280	Handle(GeomFill_GuideTrihedronAC) copy =
	281	new (GeomFill_GuideTrihedronAC) (myGuide);
	282	copy->SetCurve(myCurve);
	283	copy->Origine(Orig1,Orig2);
	284	return copy;
	285	}
	286
	287	//=======================================================================
	288	//function : SetCurve
	289	//purpose :
	290	//=======================================================================
b2ec2f5d	291	Standard_Boolean GeomFill_GuideTrihedronAC::SetCurve(const Handle(Adaptor3d_Curve)& C)
7fd59977	292	{
	293	myCurve = C;
	294	myTrimmed = C;
	295	if (!myCurve.IsNull()) {
	296	myCurveAC = new (Approx_CurvlinFunc) (C,1.e-7);
	297	L = myCurveAC->GetLength();
	298	// CorrectOrient(myGuide);
	299	}
b2ec2f5d	300	return Standard_True;
7fd59977	301	}
	302
	303
	304	//=======================================================================
	305	//function : NbIntervals
	306	//purpose :
	307	//=======================================================================
	308	Standard_Integer GeomFill_GuideTrihedronAC::NbIntervals(const GeomAbs_Shape S) const
	309	{
	310	Standard_Integer Nb;
	311	Nb = myCurveAC->NbIntervals(S);
	312	TColStd_Array1OfReal DiscC(1, Nb+1);
	313	myCurveAC->Intervals(DiscC, S);
	314	Nb = myGuideAC->NbIntervals(S);
	315	TColStd_Array1OfReal DiscG(1, Nb+1);
	316	myGuideAC->Intervals(DiscG, S);
	317
	318	TColStd_SequenceOfReal Seq;
	319	GeomLib::FuseIntervals(DiscC, DiscG, Seq);
	320
	321	return Seq.Length()-1;
	322
	323	}
	324
	325	//======================================================================
	326	//function :Intervals
	327	//purpose :
	328	//=======================================================================
	329	void GeomFill_GuideTrihedronAC::Intervals(TColStd_Array1OfReal& TT,
	330	const GeomAbs_Shape S) const
	331	{
	332	Standard_Integer Nb, ii;
	333	Nb = myCurveAC->NbIntervals(S);
	334	TColStd_Array1OfReal DiscC(1, Nb+1);
	335	myCurveAC->Intervals(DiscC, S);
	336	Nb = myGuideAC->NbIntervals(S);
	337	TColStd_Array1OfReal DiscG(1, Nb+1);
	338	myGuideAC->Intervals(DiscG, S);
	339
	340	TColStd_SequenceOfReal Seq;
	341	GeomLib::FuseIntervals(DiscC, DiscG, Seq);
	342	Nb = Seq.Length();
	343
	344	for (ii=1; ii<=Nb; ii++) {
c22b52d6	345	TT(ii) = myCurveAC->GetUParameter (*myCurve, Seq(ii), 1);
7fd59977	346	}
	347
	348	}
	349
	350	//======================================================================
	351	//function :SetInterval
	352	//purpose :
	353	//=======================================================================
	354	void GeomFill_GuideTrihedronAC::SetInterval(const Standard_Real First,
	355	const Standard_Real Last)
	356	{
	357	myTrimmed = myCurve->Trim(First, Last, UTol);
	358	Standard_Real Sf, Sl, U;
	359
	360	Sf = myCurveAC->GetSParameter(First);
	361	Sl = myCurveAC->GetSParameter(Last);
	362	// if (Sl>1) Sl=1;
	363	// myCurveAC->Trim(Sf, Sl, UTol);
	364
	365	U = Orig1 + Sf*(Orig2-Orig1);
c22b52d6	366	Sf = myGuideAC->GetUParameter(*myGuide, U, 1);
7fd59977	367	U = Orig1 + Sl*(Orig2-Orig1);
c22b52d6	368	Sl = myGuideAC->GetUParameter(*myGuide, U, 1);
7fd59977	369	myTrimG = myGuide->Trim(Sf, Sl, UTol);
	370	}
	371
	372
	373
	374	//=======================================================================
	375	//function : GetAverageLaw
	376	//purpose :
	377	//=======================================================================
	378	void GeomFill_GuideTrihedronAC::GetAverageLaw(gp_Vec& ATangent,
	379	gp_Vec& ANormal,
	380	gp_Vec& ABiNormal)
	381	{
	382	Standard_Integer ii;
	383	Standard_Real t, Delta = (myCurve->LastParameter() -
	384	myCurve->FirstParameter())/20.001;
	385
	386	ATangent.SetCoord(0.,0.,0.);
	387	ANormal.SetCoord(0.,0.,0.);
	388	ABiNormal.SetCoord(0.,0.,0.);
	389	gp_Vec T, N, B;
	390
b6abaec0	391	for (ii=1; ii<=20; ii++) {
7fd59977	392	t = myCurve->FirstParameter() +(ii-1)*Delta;
	393	D0(t, T, N, B);
	394	ATangent +=T;
	395	ANormal +=N;
	396	ABiNormal+=B;
	397	}
	398	ATangent /= 20;
	399	ANormal /= 20;
	400	ABiNormal /= 20;
	401	}
	402
	403	//=======================================================================
	404	//function : IsConstant
	405	//purpose :
	406	//=======================================================================
	407	Standard_Boolean GeomFill_GuideTrihedronAC::IsConstant() const
	408	{
	409	return Standard_False;
	410	}
	411
	412	//=======================================================================
	413	//function : IsOnlyBy3dCurve
	414	//purpose :
	415	//=======================================================================
	416	Standard_Boolean GeomFill_GuideTrihedronAC::IsOnlyBy3dCurve() const
	417	{
	418	return Standard_False;
	419	}
	420
	421	//=======================================================================
	422	//function : Origine
	423	//purpose :
	424	//=======================================================================
	425	void GeomFill_GuideTrihedronAC::Origine(const Standard_Real OrACR1,
	426	const Standard_Real OrACR2)
	427	{
	428	Orig1 = OrACR1;
	429	Orig2 = OrACR2;
	430	}