1 // Created on: 1997-02-21
2 // Created by: Laurent BOURESCHE
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
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.
14 // Alternatively, this file may be used under the terms of Open CASCADE
15 // commercial license or contractual agreement.
17 #include <BRepBlend_SurfCurvConstRadInv.ixx>
19 //=======================================================================
20 //function : BRepBlend_SurfCurvConstRadInv
22 //=======================================================================
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)
31 //=======================================================================
34 //=======================================================================
36 void BRepBlend_SurfCurvConstRadInv::Set(const Standard_Real R,
37 const Standard_Integer Choix)
60 //=======================================================================
61 //function : NbEquations
63 //=======================================================================
65 Standard_Integer BRepBlend_SurfCurvConstRadInv::NbEquations() const
70 //=======================================================================
73 //=======================================================================
75 Standard_Boolean BRepBlend_SurfCurvConstRadInv::Value(const math_Vector& X,
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));
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;
101 //=======================================================================
102 //function : Derivatives
104 //=======================================================================
106 Standard_Boolean BRepBlend_SurfCurvConstRadInv::Derivatives(const math_Vector& X,
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);
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());
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());
128 rst->D1(X(3),p2drst,d1rst);
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;
135 dwrstpts.SetLinearForm(d1rst.X(),d1u,d1rst.Y(),d1v);
136 D(2,3) = nplan.XYZ().Dot(dwrstpts.XYZ());
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));
142 dwrstnsurf.SetLinearForm(d1rst.X(),dunsurf,d1rst.Y(),dvnsurf);
144 gp_Vec nplancrosnsurf = nplan.Crossed(nsurf);
145 gp_Vec dwguinplancrosnsurf = dnplan.Crossed(nsurf);
146 gp_Vec dwrstnplancrosnsurf = nplan.Crossed(dwrstnsurf);
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);
157 Standard_Real nplandotnsurf = nplan.Dot(nsurf);
158 Standard_Real dwguinplandotnsurf = dnplan.Dot(nsurf);
159 Standard_Real dwrstnplandotnsurf = nplan.Dot(dwrstnsurf);
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);
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);
173 D(3,1) = ref.Dot(dwguiref);
174 D(3,2) = -ref.Dot(d1cur);
175 D(3,3) = ref.Dot(dwrstref);
177 return Standard_True;
180 //=======================================================================
183 //=======================================================================
185 Standard_Boolean BRepBlend_SurfCurvConstRadInv::Values(const math_Vector& X,
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()));
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());
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());
210 rst->D1(X(3),p2drst,d1rst);
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;
218 dwrstpts.SetLinearForm(d1rst.X(),d1u,d1rst.Y(),d1v);
219 D(2,3) = nplan.XYZ().Dot(dwrstpts.XYZ());
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));
225 dwrstnsurf.SetLinearForm(d1rst.X(),dunsurf,d1rst.Y(),dvnsurf);
227 gp_Vec nplancrosnsurf = nplan.Crossed(nsurf);
228 gp_Vec dwguinplancrosnsurf = dnplan.Crossed(nsurf);
229 gp_Vec dwrstnplancrosnsurf = nplan.Crossed(dwrstnsurf);
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);
240 Standard_Real nplandotnsurf = nplan.Dot(nsurf);
241 Standard_Real dwguinplandotnsurf = dnplan.Dot(nsurf);
242 Standard_Real dwrstnplandotnsurf = nplan.Dot(dwrstnsurf);
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);
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);
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;
263 //=======================================================================
266 //=======================================================================
268 void BRepBlend_SurfCurvConstRadInv::Set(const Handle(Adaptor2d_HCurve2d)& Rst)
273 //=======================================================================
274 //function : GetTolerance
276 //=======================================================================
278 void BRepBlend_SurfCurvConstRadInv::GetTolerance(math_Vector& Tolerance,
279 const Standard_Real Tol) const
281 Tolerance(1) = guide->Resolution(Tol);
282 Tolerance(2) = curv->Resolution(Tol);
284 ru = surf->UResolution(Tol);
285 rv = surf->VResolution(Tol);
286 Tolerance(3) = rst->Resolution(Min(ru,rv));
289 //=======================================================================
290 //function : GetBounds
292 //=======================================================================
294 void BRepBlend_SurfCurvConstRadInv::GetBounds(math_Vector& InfBound,
295 math_Vector& SupBound) const
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();
305 //=======================================================================
306 //function : IsSolution
308 //=======================================================================
310 Standard_Boolean BRepBlend_SurfCurvConstRadInv::IsSolution(const math_Vector& Sol,
311 const Standard_Real Tol)
313 math_Vector valsol(1,3);
315 if (Abs(valsol(1)) <= Tol &&
316 Abs(valsol(2)) <= Tol &&
317 Abs(valsol(3)) <= 2*Tol*Abs(ray) ) {
318 return Standard_True;
320 return Standard_False;