[occt.git] / src / BRepBlend / BRepBlend_SurfCurvConstRadInv.cxx

// Created on: 1997-02-21
// Created by: Laurent BOURESCHE
// Copyright (c) 1997-1999 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 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 <BRepBlend_SurfCurvConstRadInv.ixx>

//=======================================================================
//function : BRepBlend_SurfCurvConstRadInv
//purpose  : 
//=======================================================================

BRepBlend_SurfCurvConstRadInv::BRepBlend_SurfCurvConstRadInv
(const Handle(Adaptor3d_HSurface)& S,
 const Handle(Adaptor3d_HCurve)& C,
 const Handle(Adaptor3d_HCurve)& Cg) : surf(S),curv(C),guide(Cg)
{
}

//=======================================================================
//function : Set
//purpose  : 
//=======================================================================

void BRepBlend_SurfCurvConstRadInv::Set(const Standard_Real R,
					const Standard_Integer Choix) 
{
  choix = Choix;
  switch (choix) {
  case 1:
  case 2:
    {
      ray = -Abs(R);
    }
    break;
  case 3:
  case 4:
    {
      ray = Abs(R);
    }
    break;
  default:
    {
      ray = -Abs(R);
    }
  }
}

//=======================================================================
//function : NbEquations
//purpose  : 
//=======================================================================

Standard_Integer BRepBlend_SurfCurvConstRadInv::NbEquations() const
{
  return 3;
}

//=======================================================================
//function : Value
//purpose  : 
//=======================================================================

Standard_Boolean BRepBlend_SurfCurvConstRadInv::Value(const math_Vector& X,
						      math_Vector& F) 
{
  gp_Pnt ptgui;
  gp_Vec d1gui;
  guide->D1(X(1),ptgui,d1gui);
  gp_Vec nplan = d1gui.Normalized();
  Standard_Real theD = -(nplan.XYZ().Dot(ptgui.XYZ()));
  gp_Pnt ptcur = curv->Value(X(2));
  F(1) = nplan.XYZ().Dot(ptcur.XYZ()) + theD;
  gp_Pnt2d p2drst = rst->Value(X(3));
  gp_Pnt pts;
  gp_Vec du,dv;
  surf->D1(p2drst.X(),p2drst.Y(),pts,du,dv);
  F(2) = nplan.XYZ().Dot(pts.XYZ()) + theD;
  gp_Vec ns = du.Crossed(dv);
  Standard_Real norm = nplan.Crossed(ns).Magnitude();
  Standard_Real unsurnorm = 1./norm;
  ns.SetLinearForm(nplan.Dot(ns),nplan, -1.,ns);
  ns.Multiply(unsurnorm);
  gp_Vec ref(ptcur,pts);
  ref.SetLinearForm(ray,ns,ref);
  F(3) = ref.SquareMagnitude() - ray*ray;
  return Standard_True;
}

//=======================================================================
//function : Derivatives
//purpose  : 
//=======================================================================

Standard_Boolean BRepBlend_SurfCurvConstRadInv::Derivatives(const math_Vector& X,
							    math_Matrix& D) 
{
  gp_Pnt ptgui;
  gp_Vec d1gui,d2gui;
  guide->D2(X(1),ptgui,d1gui,d2gui);
  Standard_Real normd1gui = d1gui.Magnitude();
  Standard_Real unsurnormd1gui = 1./normd1gui;
  gp_Vec nplan = d1gui.Multiplied(unsurnormd1gui);
  gp_Vec dnplan;
  dnplan.SetLinearForm(-nplan.Dot(d2gui),nplan,d2gui);
  dnplan.Multiply(unsurnormd1gui);
  Standard_Real dtheD = - nplan.XYZ().Dot(d1gui.XYZ()) - dnplan.XYZ().Dot(ptgui.XYZ());
  gp_Pnt ptcur;
  gp_Vec d1cur;
  curv->D1(X(2),ptcur,d1cur);
  D(1,1) = dnplan.XYZ().Dot(ptcur.XYZ()) + dtheD;
  D(1,2) = nplan.XYZ().Dot(d1cur.XYZ());
  D(1,3) = 0.;

  gp_Pnt2d p2drst;
  gp_Vec2d d1rst;
  rst->D1(X(3),p2drst,d1rst);
  gp_Pnt pts;
  gp_Vec d1u,d1v,d2u,d2v,duv;
  surf->D2(p2drst.X(),p2drst.Y(),pts,d1u,d1v,d2u,d2v,duv);
  D(2,1) = dnplan.XYZ().Dot(pts.XYZ()) + dtheD;
  D(2,2) = 0.;
  gp_Vec dwrstpts;
  dwrstpts.SetLinearForm(d1rst.X(),d1u,d1rst.Y(),d1v);
  D(2,3) = nplan.XYZ().Dot(dwrstpts.XYZ());

  gp_Vec nsurf = d1u.Crossed(d1v);
  gp_Vec dunsurf = d2u.Crossed(d1v).Added(d1u.Crossed(duv));
  gp_Vec dvnsurf = d1u.Crossed(d2v).Added(duv.Crossed(d1v));
  gp_Vec dwrstnsurf;
  dwrstnsurf.SetLinearForm(d1rst.X(),dunsurf,d1rst.Y(),dvnsurf);

  gp_Vec nplancrosnsurf = nplan.Crossed(nsurf);
  gp_Vec dwguinplancrosnsurf = dnplan.Crossed(nsurf);
  gp_Vec dwrstnplancrosnsurf = nplan.Crossed(dwrstnsurf);

  Standard_Real norm2      = nplancrosnsurf.SquareMagnitude();
  Standard_Real norm       = sqrt(norm2);
  Standard_Real unsurnorm  = 1./norm;
  Standard_Real raysurnorm = ray*unsurnorm;
  Standard_Real unsurnorm2 = unsurnorm * unsurnorm;
  Standard_Real raysurnorm2 = ray*unsurnorm2;
  Standard_Real dwguinorm = unsurnorm*nplancrosnsurf.Dot(dwguinplancrosnsurf);
  Standard_Real dwrstnorm = unsurnorm*nplancrosnsurf.Dot(dwrstnplancrosnsurf);

  Standard_Real nplandotnsurf   = nplan.Dot(nsurf);
  Standard_Real dwguinplandotnsurf = dnplan.Dot(nsurf);
  Standard_Real dwrstnplandotnsurf = nplan.Dot(dwrstnsurf);

  gp_Vec temp,dwguitemp,dwrsttemp;
  temp.SetLinearForm(nplandotnsurf,nplan,-1.,nsurf);
  dwguitemp.SetLinearForm(nplandotnsurf,dnplan,dwguinplandotnsurf,nplan);
  dwrsttemp.SetLinearForm(dwrstnplandotnsurf,nplan,-1.,dwrstnsurf);

  gp_Vec corde(ptcur,pts);
  gp_Vec ref,dwguiref,dwrstref;
  ref.SetLinearForm(raysurnorm,temp,corde);
  dwguiref.SetLinearForm(raysurnorm,dwguitemp,-raysurnorm2*dwguinorm,temp);
  dwrstref.SetLinearForm(raysurnorm,dwrsttemp,-raysurnorm2*dwrstnorm,temp,dwrstpts);

  ref.Add(ref);
  D(3,1) = ref.Dot(dwguiref);
  D(3,2) = -ref.Dot(d1cur);
  D(3,3) = ref.Dot(dwrstref);

  return Standard_True;
}

//=======================================================================
//function : Values
//purpose  : 
//=======================================================================

Standard_Boolean BRepBlend_SurfCurvConstRadInv::Values(const math_Vector& X,
						       math_Vector& F,
						       math_Matrix& D) 
{
  gp_Pnt ptgui;
  gp_Vec d1gui(0.,0.,0.),d2gui(0.,0.,0.);
  guide->D2(X(1),ptgui,d1gui,d2gui);
  Standard_Real normd1gui = d1gui.Magnitude();
  Standard_Real unsurnormd1gui = 1./normd1gui;
  gp_Vec nplan = d1gui.Multiplied(unsurnormd1gui);
  Standard_Real theD = -(nplan.XYZ().Dot(ptgui.XYZ()));
  gp_Vec dnplan;
  dnplan.SetLinearForm(-nplan.Dot(d2gui),nplan,d2gui);
  dnplan.Multiply(unsurnormd1gui);
  Standard_Real dtheD = - nplan.XYZ().Dot(d1gui.XYZ()) - dnplan.XYZ().Dot(ptgui.XYZ());
  gp_Pnt ptcur;
  gp_Vec d1cur;
  curv->D1(X(2),ptcur,d1cur);
  F(1) = nplan.XYZ().Dot(ptcur.XYZ()) + theD;
  D(1,1) = dnplan.XYZ().Dot(ptcur.XYZ()) + dtheD;
  D(1,2) = nplan.XYZ().Dot(d1cur.XYZ());
  D(1,3) = 0.;

  gp_Pnt2d p2drst;
  gp_Vec2d d1rst;
  rst->D1(X(3),p2drst,d1rst);
  gp_Pnt pts;
  gp_Vec d1u,d1v,d2u,d2v,duv;
  surf->D2(p2drst.X(),p2drst.Y(),pts,d1u,d1v,d2u,d2v,duv);
  F(2) = nplan.XYZ().Dot(pts.XYZ()) + theD;
  D(2,1) = dnplan.XYZ().Dot(pts.XYZ()) + dtheD;
  D(2,2) = 0.;
  gp_Vec dwrstpts;
  dwrstpts.SetLinearForm(d1rst.X(),d1u,d1rst.Y(),d1v);
  D(2,3) = nplan.XYZ().Dot(dwrstpts.XYZ());

  gp_Vec nsurf = d1u.Crossed(d1v);
  gp_Vec dunsurf = d2u.Crossed(d1v).Added(d1u.Crossed(duv));
  gp_Vec dvnsurf = d1u.Crossed(d2v).Added(duv.Crossed(d1v));
  gp_Vec dwrstnsurf;
  dwrstnsurf.SetLinearForm(d1rst.X(),dunsurf,d1rst.Y(),dvnsurf);

  gp_Vec nplancrosnsurf = nplan.Crossed(nsurf);
  gp_Vec dwguinplancrosnsurf = dnplan.Crossed(nsurf);
  gp_Vec dwrstnplancrosnsurf = nplan.Crossed(dwrstnsurf);

  Standard_Real norm2      = nplancrosnsurf.SquareMagnitude();
  Standard_Real norm       = sqrt(norm2);
  Standard_Real unsurnorm  = 1./norm;
  Standard_Real raysurnorm = ray*unsurnorm;
  Standard_Real unsurnorm2 = unsurnorm * unsurnorm;
  Standard_Real raysurnorm2 = ray*unsurnorm2;
  Standard_Real dwguinorm = unsurnorm*nplancrosnsurf.Dot(dwguinplancrosnsurf);
  Standard_Real dwrstnorm = unsurnorm*nplancrosnsurf.Dot(dwrstnplancrosnsurf);

  Standard_Real nplandotnsurf   = nplan.Dot(nsurf);
  Standard_Real dwguinplandotnsurf = dnplan.Dot(nsurf);
  Standard_Real dwrstnplandotnsurf = nplan.Dot(dwrstnsurf);

  gp_Vec temp,dwguitemp,dwrsttemp;
  temp.SetLinearForm(nplandotnsurf,nplan,-1.,nsurf);
  dwguitemp.SetLinearForm(nplandotnsurf,dnplan,dwguinplandotnsurf,nplan);
  dwrsttemp.SetLinearForm(dwrstnplandotnsurf,nplan,-1.,dwrstnsurf);

  gp_Vec corde(ptcur,pts);
  gp_Vec ref,dwguiref,dwrstref;
  ref.SetLinearForm(raysurnorm,temp,corde);
  F(3) = ref.SquareMagnitude() - ray*ray;
  dwguiref.SetLinearForm(raysurnorm,dwguitemp,-raysurnorm2*dwguinorm,temp);
  dwrstref.SetLinearForm(raysurnorm,dwrsttemp,-raysurnorm2*dwrstnorm,temp,dwrstpts);

  ref.Add(ref);
  D(3,1) = ref.Dot(dwguiref);
  D(3,2) = -ref.Dot(d1cur);
  D(3,3) = ref.Dot(dwrstref);
  return Standard_True;
}

//=======================================================================
//function : Set
//purpose  : 
//=======================================================================

void BRepBlend_SurfCurvConstRadInv::Set(const Handle(Adaptor2d_HCurve2d)& Rst) 
{
  rst = Rst;
}

//=======================================================================
//function : GetTolerance
//purpose  : 
//=======================================================================

void BRepBlend_SurfCurvConstRadInv::GetTolerance(math_Vector& Tolerance,
						 const Standard_Real Tol) const
{
  Tolerance(1) = guide->Resolution(Tol);
  Tolerance(2) = curv->Resolution(Tol);
  Standard_Real ru,rv;
  ru = surf->UResolution(Tol);
  rv = surf->VResolution(Tol);
  Tolerance(3) = rst->Resolution(Min(ru,rv)); 
}

//=======================================================================
//function : GetBounds
//purpose  : 
//=======================================================================

void BRepBlend_SurfCurvConstRadInv::GetBounds(math_Vector& InfBound,
					      math_Vector& SupBound) const
{
  InfBound(1) = guide->FirstParameter();
  SupBound(1) = guide->LastParameter();
  InfBound(2) = curv->FirstParameter();
  SupBound(2) = curv->LastParameter();
  InfBound(3) = rst->FirstParameter();
  SupBound(3) = rst->LastParameter();
}

//=======================================================================
//function : IsSolution
//purpose  : 
//=======================================================================

Standard_Boolean BRepBlend_SurfCurvConstRadInv::IsSolution(const math_Vector& Sol,
							   const Standard_Real Tol) 
{
  math_Vector valsol(1,3);
  Value(Sol,valsol);
  if (Abs(valsol(1)) <= Tol && 
      Abs(valsol(2)) <= Tol &&
      Abs(valsol(3)) <= 2*Tol*Abs(ray) ) {
    return Standard_True;
  }
  return Standard_False;
}
Commit	Line	Data
b311480e	1	// Created on: 1997-02-21
	2	// Created by: Laurent BOURESCHE
	3	// Copyright (c) 1997-1999 Matra Datavision
973c2be1	4	// Copyright (c) 1999-2014 OPEN CASCADE SAS
b311480e	5	//
973c2be1	6	// This file is part of Open CASCADE Technology software library.
b311480e	7	//
973c2be1	8	// This library is free software; you can redistribute it and / or modify it
	9	// under the terms of the GNU Lesser General Public version 2.1 as published
	10	// by the Free Software Foundation, with special exception defined in the file
	11	// OCCT_LGPL_EXCEPTION.txt. Consult the file LICENSE_LGPL_21.txt included in OCCT
	12	// distribution for complete text of the license and disclaimer of any warranty.
b311480e	13	//
973c2be1	14	// Alternatively, this file may be used under the terms of Open CASCADE
973c2be1	15	// commercial license or contractual agreement.
7fd59977	16
	17	#include <BRepBlend_SurfCurvConstRadInv.ixx>
	18
	19	//=======================================================================
	20	//function : BRepBlend_SurfCurvConstRadInv
	21	//purpose :
	22	//=======================================================================
	23
	24	BRepBlend_SurfCurvConstRadInv::BRepBlend_SurfCurvConstRadInv
	25	(const Handle(Adaptor3d_HSurface)& S,
	26	const Handle(Adaptor3d_HCurve)& C,
	27	const Handle(Adaptor3d_HCurve)& Cg) : surf(S),curv(C),guide(Cg)
	28	{
	29	}
	30
	31	//=======================================================================
	32	//function : Set
	33	//purpose :
	34	//=======================================================================
	35
	36	void BRepBlend_SurfCurvConstRadInv::Set(const Standard_Real R,
	37	const Standard_Integer Choix)
	38	{
	39	choix = Choix;
	40	switch (choix) {
	41	case 1:
	42	case 2:
	43	{
	44	ray = -Abs(R);
	45	}
	46	break;
	47	case 3:
	48	case 4:
	49	{
	50	ray = Abs(R);
	51	}
	52	break;
	53	default:
	54	{
	55	ray = -Abs(R);
	56	}
	57	}
	58	}
	59
	60	//=======================================================================
	61	//function : NbEquations
	62	//purpose :
	63	//=======================================================================
	64
	65	Standard_Integer BRepBlend_SurfCurvConstRadInv::NbEquations() const
	66	{
	67	return 3;
	68	}
	69
	70	//=======================================================================
	71	//function : Value
	72	//purpose :
	73	//=======================================================================
	74
	75	Standard_Boolean BRepBlend_SurfCurvConstRadInv::Value(const math_Vector& X,
	76	math_Vector& F)
	77	{
	78	gp_Pnt ptgui;
	79	gp_Vec d1gui;
80	guide->D1(X(1),ptgui,d1gui);
81	gp_Vec nplan = d1gui.Normalized();
82	Standard_Real theD = -(nplan.XYZ().Dot(ptgui.XYZ()));
83	gp_Pnt ptcur = curv->Value(X(2));
84	F(1) = nplan.XYZ().Dot(ptcur.XYZ()) + theD;
85	gp_Pnt2d p2drst = rst->Value(X(3));
86	gp_Pnt pts;
87	gp_Vec du,dv;
88	surf->D1(p2drst.X(),p2drst.Y(),pts,du,dv);
89	F(2) = nplan.XYZ().Dot(pts.XYZ()) + theD;
90	gp_Vec ns = du.Crossed(dv);
91	Standard_Real norm = nplan.Crossed(ns).Magnitude();
92	Standard_Real unsurnorm = 1./norm;
93	ns.SetLinearForm(nplan.Dot(ns),nplan, -1.,ns);
94	ns.Multiply(unsurnorm);
95	gp_Vec ref(ptcur,pts);
96	ref.SetLinearForm(ray,ns,ref);
97	F(3) = ref.SquareMagnitude() - ray*ray;
98	return Standard_True;
99	}
100
101	//=======================================================================
102	//function : Derivatives
103	//purpose :
104	//=======================================================================
105
106	Standard_Boolean BRepBlend_SurfCurvConstRadInv::Derivatives(const math_Vector& X,
107	math_Matrix& D)
108	{
109	gp_Pnt ptgui;
110	gp_Vec d1gui,d2gui;
111	guide->D2(X(1),ptgui,d1gui,d2gui);
112	Standard_Real normd1gui = d1gui.Magnitude();
113	Standard_Real unsurnormd1gui = 1./normd1gui;
114	gp_Vec nplan = d1gui.Multiplied(unsurnormd1gui);
7fd59977	115	gp_Vec dnplan;
	116	dnplan.SetLinearForm(-nplan.Dot(d2gui),nplan,d2gui);
	117	dnplan.Multiply(unsurnormd1gui);
	118	Standard_Real dtheD = - nplan.XYZ().Dot(d1gui.XYZ()) - dnplan.XYZ().Dot(ptgui.XYZ());
	119	gp_Pnt ptcur;
	120	gp_Vec d1cur;
	121	curv->D1(X(2),ptcur,d1cur);
	122	D(1,1) = dnplan.XYZ().Dot(ptcur.XYZ()) + dtheD;
	123	D(1,2) = nplan.XYZ().Dot(d1cur.XYZ());
	124	D(1,3) = 0.;
	125
	126	gp_Pnt2d p2drst;
	127	gp_Vec2d d1rst;
	128	rst->D1(X(3),p2drst,d1rst);
	129	gp_Pnt pts;
	130	gp_Vec d1u,d1v,d2u,d2v,duv;
	131	surf->D2(p2drst.X(),p2drst.Y(),pts,d1u,d1v,d2u,d2v,duv);
	132	D(2,1) = dnplan.XYZ().Dot(pts.XYZ()) + dtheD;
	133	D(2,2) = 0.;
	134	gp_Vec dwrstpts;
	135	dwrstpts.SetLinearForm(d1rst.X(),d1u,d1rst.Y(),d1v);
	136	D(2,3) = nplan.XYZ().Dot(dwrstpts.XYZ());
	137
	138	gp_Vec nsurf = d1u.Crossed(d1v);
	139	gp_Vec dunsurf = d2u.Crossed(d1v).Added(d1u.Crossed(duv));
	140	gp_Vec dvnsurf = d1u.Crossed(d2v).Added(duv.Crossed(d1v));
	141	gp_Vec dwrstnsurf;
	142	dwrstnsurf.SetLinearForm(d1rst.X(),dunsurf,d1rst.Y(),dvnsurf);
	143
	144	gp_Vec nplancrosnsurf = nplan.Crossed(nsurf);
	145	gp_Vec dwguinplancrosnsurf = dnplan.Crossed(nsurf);
	146	gp_Vec dwrstnplancrosnsurf = nplan.Crossed(dwrstnsurf);
	147
	148	Standard_Real norm2 = nplancrosnsurf.SquareMagnitude();
	149	Standard_Real norm = sqrt(norm2);
	150	Standard_Real unsurnorm = 1./norm;
	151	Standard_Real raysurnorm = ray*unsurnorm;
	152	Standard_Real unsurnorm2 = unsurnorm * unsurnorm;
	153	Standard_Real raysurnorm2 = ray*unsurnorm2;
	154	Standard_Real dwguinorm = unsurnorm*nplancrosnsurf.Dot(dwguinplancrosnsurf);
	155	Standard_Real dwrstnorm = unsurnorm*nplancrosnsurf.Dot(dwrstnplancrosnsurf);
	156
	157	Standard_Real nplandotnsurf = nplan.Dot(nsurf);
	158	Standard_Real dwguinplandotnsurf = dnplan.Dot(nsurf);
	159	Standard_Real dwrstnplandotnsurf = nplan.Dot(dwrstnsurf);
	160
	161	gp_Vec temp,dwguitemp,dwrsttemp;
	162	temp.SetLinearForm(nplandotnsurf,nplan,-1.,nsurf);
	163	dwguitemp.SetLinearForm(nplandotnsurf,dnplan,dwguinplandotnsurf,nplan);
	164	dwrsttemp.SetLinearForm(dwrstnplandotnsurf,nplan,-1.,dwrstnsurf);
	165
	166	gp_Vec corde(ptcur,pts);
	167	gp_Vec ref,dwguiref,dwrstref;
	168	ref.SetLinearForm(raysurnorm,temp,corde);
	169	dwguiref.SetLinearForm(raysurnorm,dwguitemp,-raysurnorm2*dwguinorm,temp);
	170	dwrstref.SetLinearForm(raysurnorm,dwrsttemp,-raysurnorm2*dwrstnorm,temp,dwrstpts);
	171
	172	ref.Add(ref);
	173	D(3,1) = ref.Dot(dwguiref);
	174	D(3,2) = -ref.Dot(d1cur);
	175	D(3,3) = ref.Dot(dwrstref);
	176
	177	return Standard_True;
	178	}
179
180	//=======================================================================
181	//function : Values
182	//purpose :
183	//=======================================================================
184
185	Standard_Boolean BRepBlend_SurfCurvConstRadInv::Values(const math_Vector& X,
186	math_Vector& F,
187	math_Matrix& D)
188	{
189	gp_Pnt ptgui;
190	gp_Vec d1gui(0.,0.,0.),d2gui(0.,0.,0.);
191	guide->D2(X(1),ptgui,d1gui,d2gui);
192	Standard_Real normd1gui = d1gui.Magnitude();
193	Standard_Real unsurnormd1gui = 1./normd1gui;
194	gp_Vec nplan = d1gui.Multiplied(unsurnormd1gui);
195	Standard_Real theD = -(nplan.XYZ().Dot(ptgui.XYZ()));
196	gp_Vec dnplan;
197	dnplan.SetLinearForm(-nplan.Dot(d2gui),nplan,d2gui);
198	dnplan.Multiply(unsurnormd1gui);
199	Standard_Real dtheD = - nplan.XYZ().Dot(d1gui.XYZ()) - dnplan.XYZ().Dot(ptgui.XYZ());
200	gp_Pnt ptcur;
201	gp_Vec d1cur;
202	curv->D1(X(2),ptcur,d1cur);
203	F(1) = nplan.XYZ().Dot(ptcur.XYZ()) + theD;
204	D(1,1) = dnplan.XYZ().Dot(ptcur.XYZ()) + dtheD;
205	D(1,2) = nplan.XYZ().Dot(d1cur.XYZ());
206	D(1,3) = 0.;
207
208	gp_Pnt2d p2drst;
209	gp_Vec2d d1rst;
210	rst->D1(X(3),p2drst,d1rst);
211	gp_Pnt pts;
212	gp_Vec d1u,d1v,d2u,d2v,duv;
213	surf->D2(p2drst.X(),p2drst.Y(),pts,d1u,d1v,d2u,d2v,duv);
214	F(2) = nplan.XYZ().Dot(pts.XYZ()) + theD;
215	D(2,1) = dnplan.XYZ().Dot(pts.XYZ()) + dtheD;
216	D(2,2) = 0.;
217	gp_Vec dwrstpts;
218	dwrstpts.SetLinearForm(d1rst.X(),d1u,d1rst.Y(),d1v);
219	D(2,3) = nplan.XYZ().Dot(dwrstpts.XYZ());
220
221	gp_Vec nsurf = d1u.Crossed(d1v);
222	gp_Vec dunsurf = d2u.Crossed(d1v).Added(d1u.Crossed(duv));
223	gp_Vec dvnsurf = d1u.Crossed(d2v).Added(duv.Crossed(d1v));
224	gp_Vec dwrstnsurf;
225	dwrstnsurf.SetLinearForm(d1rst.X(),dunsurf,d1rst.Y(),dvnsurf);
226
227	gp_Vec nplancrosnsurf = nplan.Crossed(nsurf);
228	gp_Vec dwguinplancrosnsurf = dnplan.Crossed(nsurf);
229	gp_Vec dwrstnplancrosnsurf = nplan.Crossed(dwrstnsurf);
230
231	Standard_Real norm2 = nplancrosnsurf.SquareMagnitude();
232	Standard_Real norm = sqrt(norm2);
233	Standard_Real unsurnorm = 1./norm;
234	Standard_Real raysurnorm = ray*unsurnorm;
235	Standard_Real unsurnorm2 = unsurnorm * unsurnorm;
236	Standard_Real raysurnorm2 = ray*unsurnorm2;
237	Standard_Real dwguinorm = unsurnorm*nplancrosnsurf.Dot(dwguinplancrosnsurf);
238	Standard_Real dwrstnorm = unsurnorm*nplancrosnsurf.Dot(dwrstnplancrosnsurf);
239
240	Standard_Real nplandotnsurf = nplan.Dot(nsurf);
241	Standard_Real dwguinplandotnsurf = dnplan.Dot(nsurf);
242	Standard_Real dwrstnplandotnsurf = nplan.Dot(dwrstnsurf);
243
244	gp_Vec temp,dwguitemp,dwrsttemp;
245	temp.SetLinearForm(nplandotnsurf,nplan,-1.,nsurf);
246	dwguitemp.SetLinearForm(nplandotnsurf,dnplan,dwguinplandotnsurf,nplan);
247	dwrsttemp.SetLinearForm(dwrstnplandotnsurf,nplan,-1.,dwrstnsurf);
248
249	gp_Vec corde(ptcur,pts);
250	gp_Vec ref,dwguiref,dwrstref;
251	ref.SetLinearForm(raysurnorm,temp,corde);
252	F(3) = ref.SquareMagnitude() - ray*ray;
253	dwguiref.SetLinearForm(raysurnorm,dwguitemp,-raysurnorm2*dwguinorm,temp);
254	dwrstref.SetLinearForm(raysurnorm,dwrsttemp,-raysurnorm2*dwrstnorm,temp,dwrstpts);
255
256	ref.Add(ref);
257	D(3,1) = ref.Dot(dwguiref);
258	D(3,2) = -ref.Dot(d1cur);
259	D(3,3) = ref.Dot(dwrstref);
260	return Standard_True;
261	}
262
263	//=======================================================================
264	//function : Set
265	//purpose :
266	//=======================================================================
267
268	void BRepBlend_SurfCurvConstRadInv::Set(const Handle(Adaptor2d_HCurve2d)& Rst)
269	{
270	rst = Rst;
271	}
272
273	//=======================================================================
274	//function : GetTolerance
275	//purpose :
276	//=======================================================================
277
278	void BRepBlend_SurfCurvConstRadInv::GetTolerance(math_Vector& Tolerance,
279	const Standard_Real Tol) const
280	{
281	Tolerance(1) = guide->Resolution(Tol);
282	Tolerance(2) = curv->Resolution(Tol);
283	Standard_Real ru,rv;
284	ru = surf->UResolution(Tol);
285	rv = surf->VResolution(Tol);
286	Tolerance(3) = rst->Resolution(Min(ru,rv));
287	}
288
289	//=======================================================================
290	//function : GetBounds
291	//purpose :
292	//=======================================================================
293
294	void BRepBlend_SurfCurvConstRadInv::GetBounds(math_Vector& InfBound,
295	math_Vector& SupBound) const
296	{
297	InfBound(1) = guide->FirstParameter();
298	SupBound(1) = guide->LastParameter();
299	InfBound(2) = curv->FirstParameter();
300	SupBound(2) = curv->LastParameter();
301	InfBound(3) = rst->FirstParameter();
302	SupBound(3) = rst->LastParameter();
303	}
304
305	//=======================================================================
306	//function : IsSolution
307	//purpose :
308	//=======================================================================
309
310	Standard_Boolean BRepBlend_SurfCurvConstRadInv::IsSolution(const math_Vector& Sol,
311	const Standard_Real Tol)
312	{
313	math_Vector valsol(1,3);
314	Value(Sol,valsol);
315	if (Abs(valsol(1)) <= Tol &&
316	Abs(valsol(2)) <= Tol &&
317	Abs(valsol(3)) <= 2TolAbs(ray) ) {
318	return Standard_True;
319	}
320	return Standard_False;
321	}
322
323