1 // Created on: 1997-07-29
2 // Created by: Jerome LEMONIER
3 // Copyright (c) 1997-1999 Matra Datavision
4 // Copyright (c) 1999-2014 OPEN CASCADE SAS
6 // This file is part of Open CASCADE Technology software library.
8 // This library is free software; you can redistribute it and/or modify it under
9 // the terms of the GNU Lesser General Public License 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.
14 // Alternatively, this file may be used under the terms of Open CASCADE
15 // commercial license or contractual agreement.
18 #include <Adaptor2d_HCurve2d.hxx>
19 #include <Adaptor3d_HCurve.hxx>
20 #include <Adaptor3d_HSurface.hxx>
21 #include <BRepBlend_SurfCurvEvolRadInv.hxx>
22 #include <Law_Function.hxx>
23 #include <math_Matrix.hxx>
25 //=======================================================================
28 //=======================================================================
29 BRepBlend_SurfCurvEvolRadInv::BRepBlend_SurfCurvEvolRadInv
30 (const Handle(Adaptor3d_HSurface)& S,
31 const Handle(Adaptor3d_HCurve)& C,
32 const Handle(Adaptor3d_HCurve)& Cg,
33 const Handle(Law_Function)& Evol): surf(S),curv(C),guide(Cg)
37 //=======================================================================
40 //=======================================================================
41 void BRepBlend_SurfCurvEvolRadInv::Set(const Standard_Integer Choix)
59 //=======================================================================
62 //=======================================================================
63 Standard_Integer BRepBlend_SurfCurvEvolRadInv::NbEquations() const
68 //=======================================================================
71 //=======================================================================
72 Standard_Boolean BRepBlend_SurfCurvEvolRadInv::Value(const math_Vector& X,math_Vector& F)
75 gp_Vec d1gui(0.,0.,0.);
76 guide->D1(X(1),ptgui,d1gui);
77 ray = sg1*tevol->Value(X(1));
78 gp_Vec nplan = d1gui.Normalized();
79 // Standard_Real theD = -(nplan.XYZ().Dot(ptgui.XYZ()));
80 gp_XYZ nplanXYZ(nplan.XYZ());
81 gp_XYZ ptguiXYZ(ptgui.XYZ());
82 Standard_Real theD = nplanXYZ.Dot(ptguiXYZ) ;
85 gp_Pnt ptcur = curv->Value(X(2));
86 F(1) = nplan.XYZ().Dot(ptcur.XYZ()) + theD;
87 gp_Pnt2d p2drst = rst->Value(X(3));
90 surf->D1(p2drst.X(),p2drst.Y(),pts,du,dv);
91 F(2) = nplan.XYZ().Dot(pts.XYZ()) + theD;
92 gp_Vec ns = du.Crossed(dv);
93 Standard_Real norm = nplan.Crossed(ns).Magnitude();
94 Standard_Real unsurnorm = 1./norm;
95 ns.SetLinearForm(nplan.Dot(ns),nplan, -1.,ns);
96 ns.Multiply(unsurnorm);
97 gp_Vec ref(ptcur,pts);
99 ref.SetLinearForm(ray,ns,ref);
100 F(3) = ref.SquareMagnitude() - ray*ray;
101 return Standard_True;
104 //=======================================================================
107 //=======================================================================
108 Standard_Boolean BRepBlend_SurfCurvEvolRadInv::Derivatives(const math_Vector& X,math_Matrix& D)
112 guide->D2(X(1),ptgui,d1gui,d2gui);
113 Standard_Real normd1gui = d1gui.Magnitude(),dray;
114 Standard_Real unsurnormd1gui = 1./normd1gui;
115 tevol->D1(X(1),ray,dray);
118 gp_Vec nplan = d1gui.Multiplied(unsurnormd1gui);
120 dnplan.SetLinearForm(-nplan.Dot(d2gui),nplan,d2gui);
121 dnplan.Multiply(unsurnormd1gui);
122 Standard_Real dtheD = - nplan.XYZ().Dot(d1gui.XYZ()) - dnplan.XYZ().Dot(ptgui.XYZ());
125 curv->D1(X(2),ptcur,d1cur);
126 D(1,1) = dnplan.XYZ().Dot(ptcur.XYZ()) + dtheD;
127 D(1,2) = nplan.XYZ().Dot(d1cur.XYZ());
132 rst->D1(X(3),p2drst,d1rst);
134 gp_Vec d1u,d1v,d2u,d2v,duv;
135 surf->D2(p2drst.X(),p2drst.Y(),pts,d1u,d1v,d2u,d2v,duv);
136 D(2,1) = dnplan.XYZ().Dot(pts.XYZ()) + dtheD;
139 dwrstpts.SetLinearForm(d1rst.X(),d1u,d1rst.Y(),d1v);
140 D(2,3) = nplan.XYZ().Dot(dwrstpts.XYZ());
142 gp_Vec nsurf = d1u.Crossed(d1v);
143 gp_Vec dunsurf = d2u.Crossed(d1v).Added(d1u.Crossed(duv));
144 gp_Vec dvnsurf = d1u.Crossed(d2v).Added(duv.Crossed(d1v));
146 dwrstnsurf.SetLinearForm(d1rst.X(),dunsurf,d1rst.Y(),dvnsurf);
148 gp_Vec nplancrosnsurf = nplan.Crossed(nsurf);
149 gp_Vec dwguinplancrosnsurf = dnplan.Crossed(nsurf);
150 gp_Vec dwrstnplancrosnsurf = nplan.Crossed(dwrstnsurf);
152 Standard_Real norm2 = nplancrosnsurf.SquareMagnitude();
153 Standard_Real norm = sqrt(norm2);
154 Standard_Real unsurnorm = 1./norm;
155 Standard_Real raysurnorm = ray*unsurnorm;
156 Standard_Real unsurnorm2 = unsurnorm * unsurnorm;
157 Standard_Real raysurnorm2 = ray*unsurnorm2;
158 Standard_Real dwguinorm = unsurnorm*nplancrosnsurf.Dot(dwguinplancrosnsurf);
159 Standard_Real dwrstnorm = unsurnorm*nplancrosnsurf.Dot(dwrstnplancrosnsurf);
161 Standard_Real nplandotnsurf = nplan.Dot(nsurf);
162 Standard_Real dwguinplandotnsurf = dnplan.Dot(nsurf);
163 Standard_Real dwrstnplandotnsurf = nplan.Dot(dwrstnsurf);
165 gp_Vec temp,dwguitemp,dwrsttemp;
166 temp.SetLinearForm(nplandotnsurf,nplan,-1.,nsurf);
167 dwguitemp.SetLinearForm(nplandotnsurf,dnplan,dwguinplandotnsurf,nplan);
168 dwrsttemp.SetLinearForm(dwrstnplandotnsurf,nplan,-1.,dwrstnsurf);
170 gp_Vec corde(ptcur,pts);
171 gp_Vec ref,dwguiref,dwrstref;
172 ref.SetLinearForm(raysurnorm,temp,corde);
173 dwguiref.SetLinearForm(raysurnorm,dwguitemp,-raysurnorm2*dwguinorm,temp);
174 dwguiref.SetLinearForm(1.,dwguiref,dray*unsurnorm,temp);
175 dwrstref.SetLinearForm(raysurnorm,dwrsttemp,-raysurnorm2*dwrstnorm,temp,dwrstpts);
178 D(3,1) = ref.Dot(dwguiref) - 2.*dray*ray;
179 D(3,2) = -ref.Dot(d1cur);
180 D(3,3) = ref.Dot(dwrstref);
182 return Standard_True;
185 //=======================================================================
188 //=======================================================================
189 Standard_Boolean BRepBlend_SurfCurvEvolRadInv::Values(const math_Vector& X,math_Vector& F,math_Matrix& D)
192 gp_Vec d1gui(0.,0.,0.),d2gui(0.,0.,0.);
193 guide->D2(X(1),ptgui,d1gui,d2gui);
195 tevol->D1(X(1),ray,dray);
198 Standard_Real normd1gui = d1gui.Magnitude();
199 Standard_Real unsurnormd1gui = 1./normd1gui;
200 gp_Vec nplan = d1gui.Multiplied(unsurnormd1gui);
201 // Standard_Real theD = -(nplan.XYZ().Dot(ptgui.XYZ()));
202 gp_XYZ nplanXYZ(nplan.XYZ());
203 gp_XYZ ptcurXYZ(ptgui.XYZ());
204 Standard_Real theD = nplanXYZ.Dot(ptcurXYZ) ;
205 theD = theD * (-1.) ;
208 dnplan.SetLinearForm(-nplan.Dot(d2gui),nplan,d2gui);
209 dnplan.Multiply(unsurnormd1gui);
210 Standard_Real dtheD = - nplan.XYZ().Dot(d1gui.XYZ()) - dnplan.XYZ().Dot(ptgui.XYZ());
213 curv->D1(X(2),ptcur,d1cur);
214 F(1) = nplan.XYZ().Dot(ptcur.XYZ()) + theD;
215 D(1,1) = dnplan.XYZ().Dot(ptcur.XYZ()) + dtheD;
216 D(1,2) = nplan.XYZ().Dot(d1cur.XYZ());
221 rst->D1(X(3),p2drst,d1rst);
223 gp_Vec d1u,d1v,d2u,d2v,duv;
224 surf->D2(p2drst.X(),p2drst.Y(),pts,d1u,d1v,d2u,d2v,duv);
225 F(2) = nplan.XYZ().Dot(pts.XYZ()) + theD;
226 D(2,1) = dnplan.XYZ().Dot(pts.XYZ()) + dtheD;
229 dwrstpts.SetLinearForm(d1rst.X(),d1u,d1rst.Y(),d1v);
230 D(2,3) = nplan.XYZ().Dot(dwrstpts.XYZ());
232 gp_Vec nsurf = d1u.Crossed(d1v);
233 gp_Vec dunsurf = d2u.Crossed(d1v).Added(d1u.Crossed(duv));
234 gp_Vec dvnsurf = d1u.Crossed(d2v).Added(duv.Crossed(d1v));
236 dwrstnsurf.SetLinearForm(d1rst.X(),dunsurf,d1rst.Y(),dvnsurf);
238 gp_Vec nplancrosnsurf = nplan.Crossed(nsurf);
239 gp_Vec dwguinplancrosnsurf = dnplan.Crossed(nsurf);
240 gp_Vec dwrstnplancrosnsurf = nplan.Crossed(dwrstnsurf);
242 Standard_Real norm2 = nplancrosnsurf.SquareMagnitude();
243 Standard_Real norm = sqrt(norm2);
244 Standard_Real unsurnorm = 1./norm;
245 Standard_Real raysurnorm = ray*unsurnorm;
246 Standard_Real unsurnorm2 = unsurnorm * unsurnorm;
247 Standard_Real raysurnorm2 = ray*unsurnorm2;
248 Standard_Real dwguinorm = unsurnorm*nplancrosnsurf.Dot(dwguinplancrosnsurf);
249 Standard_Real dwrstnorm = unsurnorm*nplancrosnsurf.Dot(dwrstnplancrosnsurf);
251 Standard_Real nplandotnsurf = nplan.Dot(nsurf);
252 Standard_Real dwguinplandotnsurf = dnplan.Dot(nsurf);
253 Standard_Real dwrstnplandotnsurf = nplan.Dot(dwrstnsurf);
255 gp_Vec temp,dwguitemp,dwrsttemp;
256 temp.SetLinearForm(nplandotnsurf,nplan,-1.,nsurf);
257 dwguitemp.SetLinearForm(nplandotnsurf,dnplan,dwguinplandotnsurf,nplan);
258 dwrsttemp.SetLinearForm(dwrstnplandotnsurf,nplan,-1.,dwrstnsurf);
260 gp_Vec corde(ptcur,pts);
261 gp_Vec ref,dwguiref,dwrstref;
262 ref.SetLinearForm(raysurnorm,temp,corde);
263 F(3) = ref.SquareMagnitude() - ray*ray;
264 dwguiref.SetLinearForm(raysurnorm,dwguitemp,-raysurnorm2*dwguinorm,temp);
265 dwguiref.SetLinearForm(1.,dwguiref,dray*unsurnorm,temp);
266 dwrstref.SetLinearForm(raysurnorm,dwrsttemp,-raysurnorm2*dwrstnorm,temp,dwrstpts);
269 D(3,1) = ref.Dot(dwguiref) - 2.*dray*ray;
270 D(3,2) = -ref.Dot(d1cur);
271 D(3,3) = ref.Dot(dwrstref);
272 return Standard_True;
275 //=======================================================================
278 //=======================================================================
279 void BRepBlend_SurfCurvEvolRadInv::Set(const Handle(Adaptor2d_HCurve2d)& Rst)
284 //=======================================================================
287 //=======================================================================
288 void BRepBlend_SurfCurvEvolRadInv::GetTolerance(math_Vector& Tolerance,const Standard_Real Tol) const
290 Tolerance(1) = guide->Resolution(Tol);
291 Tolerance(2) = curv->Resolution(Tol);
293 ru = surf->UResolution(Tol);
294 rv = surf->VResolution(Tol);
295 Tolerance(3) = rst->Resolution(Min(ru,rv));
298 //=======================================================================
301 //=======================================================================
302 void BRepBlend_SurfCurvEvolRadInv::GetBounds(math_Vector& InfBound,math_Vector& SupBound) const
304 InfBound(1) = guide->FirstParameter();
305 SupBound(1) = guide->LastParameter();
306 InfBound(2) = curv->FirstParameter();
307 SupBound(2) = curv->LastParameter();
308 InfBound(3) = rst->FirstParameter();
309 SupBound(3) = rst->LastParameter();
312 //=======================================================================
315 //=======================================================================
316 Standard_Boolean BRepBlend_SurfCurvEvolRadInv::IsSolution(const math_Vector& Sol,const Standard_Real Tol)
318 math_Vector valsol(1,3);
320 if (Abs(valsol(1)) <= Tol &&
321 Abs(valsol(2)) <= Tol &&
322 Abs(valsol(3)) <= 2*Tol*Abs(ray)) {
323 return Standard_True;
325 return Standard_False;