projects / occt.git / blame
? search:
summary | shortlog | log | commit | commitdiff | tree
blob | blame (incremental) | history | HEAD
0022048: Visualization, AIS_InteractiveContext - single object selection should alway...
[occt.git] / src / BRepBlend / BRepBlend_SurfRstEvolRad.cxx
CommitLineData
b311480e 1// Created on: 1997-07-28
2// Created by: Jerome LEMONIER
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//
d5f74e42 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
973c2be1 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
15// commercial license or contractual agreement.
7fd59977 16
7fd59977 17
42cf5bc1 18#include <Adaptor2d_HCurve2d.hxx>
19#include <Adaptor3d_HCurve.hxx>
20#include <Adaptor3d_HSurface.hxx>
21#include <Blend_Point.hxx>
7fd59977 22#include <BlendFunc.hxx>
42cf5bc1 23#include <BRepBlend_SurfRstEvolRad.hxx>
24#include <ElCLib.hxx>
7fd59977 25#include <GeomFill.hxx>
42cf5bc1 26#include <gp.hxx>
27#include <gp_Circ.hxx>
28#include <gp_Pnt.hxx>
29#include <gp_Pnt2d.hxx>
30#include <gp_Vec.hxx>
31#include <gp_Vec2d.hxx>
32#include <Law_Function.hxx>
33#include <math_Gauss.hxx>
34#include <math_Matrix.hxx>
35#include <math_SVD.hxx>
36#include <Precision.hxx>
7fd59977 37#include <Standard_DomainError.hxx>
38#include <Standard_NotImplemented.hxx>
42cf5bc1 39#include <TColStd_SequenceOfReal.hxx>
7fd59977 40
41#define Eps 1.e-15
42
43static void t3dto2d(Standard_Real& a,
44 Standard_Real& b,
45 const gp_Vec& A,
46 const gp_Vec& B,
47 const gp_Vec& C)
48{
49 Standard_Real AB = A.Dot(B);
50 Standard_Real AC = A.Dot(C);
51 Standard_Real BC = B.Dot(C);
52 Standard_Real BB = B.Dot(B);
53 Standard_Real CC = C.Dot(C);
54 Standard_Real deno = (BB*CC-BC*BC);
55 a = (AB*CC-AC*BC)/deno;
56 b = (AC*BB-AB*BC)/deno;
57}
58
59static void FusionneIntervalles(const TColStd_Array1OfReal& I1,
60 const TColStd_Array1OfReal& I2,
61 TColStd_SequenceOfReal& Seq)
62{
63 Standard_Integer ind1=1, ind2=1;
64 Standard_Real Epspar = Precision::PConfusion()*0.99;
81bba717 65 // it is supposed that positioning works with PConfusion()/2
7fd59977 66 Standard_Real v1, v2;
81bba717 67// Initialisation : IND1 and IND2 point at the first element
68// of each of 2 tables to be processed. INDS points at the last
69// element created by TABSOR
7fd59977 70
71
81bba717 72//--- TABSOR is filled by parsing TABLE1 and TABLE2 simultaneously ---
73//------------------ and eliminating multiple occurrencies ------------
7fd59977 74
75 while ((ind1<=I1.Upper()) && (ind2<=I2.Upper())) {
76 v1 = I1(ind1);
77 v2 = I2(ind2);
78 if (Abs(v1-v2)<= Epspar) {
81bba717 79// Here the elements of I1 and I2 fit.
7fd59977 80 Seq.Append((v1+v2)/2);
81 ind1++;
82 ind2++;
83 }
84 else if (v1 < v2) {
81bba717 85 // Here the element of I1 fits.
7fd59977 86 Seq.Append(v1);
87 ind1++;
88 }
89 else {
81bba717 90// Here the element of TABLE2 fits.
7fd59977 91 Seq.Append(v2);
92 ind2++;
93 }
94 }
95
96 if (ind1>I1.Upper()) {
81bba717 97//----- Here I1 is exhausted, completed with the end of TABLE2 -------
7fd59977 98
99 for (; ind2<=I2.Upper(); ind2++) {
100 Seq.Append(I2(ind2));
101 }
102 }
103
104 if (ind2>I2.Upper()) {
81bba717 105//----- Here I2 is exhausted, completed with the end of I1 -------
7fd59977 106
107 for (; ind1<=I1.Upper(); ind1++) {
108 Seq.Append(I1(ind1));
109 }
110 }
111}
112
113//=======================================================================
114//function : BRepBlend_SurfRstEvolRad
81bba717 115//purpose : Contructor
7fd59977 116//=======================================================================
117BRepBlend_SurfRstEvolRad::BRepBlend_SurfRstEvolRad
118(const Handle(Adaptor3d_HSurface)& Surf,
119 const Handle(Adaptor3d_HSurface)& SurfRst,
120 const Handle(Adaptor2d_HCurve2d)& Rst,
121 const Handle(Adaptor3d_HCurve)& CGuide,
122 const Handle(Law_Function)& Evol):
123 surf(Surf), surfrst(SurfRst),
124 rst(Rst), cons(Rst,SurfRst),
125 guide(CGuide), tguide(CGuide),
126 istangent(Standard_True),
127 maxang(RealFirst()), minang(RealLast()),
128 distmin(RealLast()),
129 mySShape(BlendFunc_Rational)
130
131{ tevol=Evol;
132 fevol=Evol;
133}
134
135//=======================================================================
136//function :
137//purpose :
138//=======================================================================
139Standard_Integer BRepBlend_SurfRstEvolRad::NbVariables() const
140{
141 return 3;
142}
143
144//=======================================================================
145//function :
146//purpose :
147//=======================================================================
148Standard_Integer BRepBlend_SurfRstEvolRad::NbEquations() const
149{
150 return 3;
151}
152
153//=======================================================================
154//function :
155//purpose :
156//=======================================================================
157Standard_Boolean BRepBlend_SurfRstEvolRad::Value
158(const math_Vector& X,
159 math_Vector& F)
160{
161 gp_Vec d1u1,d1v1,ns,vref;
162 Standard_Real norm;
163
164 surf->D1(X(1),X(2),pts,d1u1,d1v1);
165 ptrst = cons.Value(X(3));
166
167 F(1) = nplan.XYZ().Dot(pts.XYZ()) + theD;
168
169 F(2) = nplan.XYZ().Dot(ptrst.XYZ()) + theD;
170
171 ns = d1u1.Crossed(d1v1);
172 norm = nplan.Crossed(ns).Magnitude();
173 ns.SetLinearForm(nplan.Dot(ns)/norm,nplan, -1./norm,ns);
174 vref.SetLinearForm(ray,ns,gp_Vec(ptrst,pts));
175 F(3) = vref.SquareMagnitude() - ray*ray;
176 return Standard_True;
177}
178
179//=======================================================================
180//function : Derivatives
181//purpose :
182//=======================================================================
183Standard_Boolean BRepBlend_SurfRstEvolRad::Derivatives
184(const math_Vector& X,
185 math_Matrix& D)
186{ gp_Vec d1u1,d1v1,d2u1,d2v1,d2uv1,d1;
187 gp_Vec ns,ncrossns,resul,temp, vref;
188
189 Standard_Real norm,ndotns,grosterme;
190
191 surf->D2(X(1),X(2),pts,d1u1,d1v1,d2u1,d2v1,d2uv1);
192 cons.D1(X(3),ptrst,d1);
193
194 D(1,1) = nplan.Dot(d1u1);
195 D(1,2) = nplan.Dot(d1v1);
196 D(1,3) = 0.;
197
198 D(2,1) = 0.;
199 D(2,2) = 0.;
200 D(2,3) = nplan.Dot(d1);
201
202
203 ns = d1u1.Crossed(d1v1);
204 ncrossns = nplan.Crossed(ns);
205 norm = ncrossns.Magnitude();
206 ndotns = nplan.Dot(ns);
207
208 vref.SetLinearForm(ndotns,nplan,-1.,ns);
209 vref.Divide(norm);
210 vref.SetLinearForm(ray,vref,gp_Vec(ptrst,pts));
211
81bba717 212 // Derivative corresponding to u1
7fd59977 213 temp = d2u1.Crossed(d1v1).Added(d1u1.Crossed(d2uv1));
214 grosterme = ncrossns.Dot(nplan.Crossed(temp))/norm/norm;
215 resul.SetLinearForm(-ray/norm*(grosterme*ndotns-nplan.Dot(temp)),nplan,
216 ray*grosterme/norm,ns,
217 -ray/norm,temp,
218 d1u1);
219
220 D(3,1) = 2.*(resul.Dot(vref));
221
222
81bba717 223 // Derivative corresponding to v1
7fd59977 224 temp = d2uv1.Crossed(d1v1).Added(d1u1.Crossed(d2v1));
225 grosterme = ncrossns.Dot(nplan.Crossed(temp))/norm/norm;
226 resul.SetLinearForm(-ray/norm*(grosterme*ndotns-nplan.Dot(temp)),nplan,
227 ray*grosterme/norm,ns,
228 -ray/norm,temp,
229 d1v1);
230
231 D(3,2) = 2.*(resul.Dot(vref));
232
233 D(3,3) = -2.*(d1.Dot(vref));
234
235 return Standard_True;
236
237}
238
239//=======================================================================
240//function :
241//purpose :
242//=======================================================================
243Standard_Boolean BRepBlend_SurfRstEvolRad::Values
244(const math_Vector& X,
245 math_Vector& F,
246 math_Matrix& D)
247{
248 gp_Vec d1u1,d1v1,d1;
249 gp_Vec d2u1,d2v1,d2uv1;
250 gp_Vec ns,ncrossns,resul,temp,vref;
251
252 Standard_Real norm,ndotns,grosterme;
253
254 surf->D2(X(1),X(2),pts,d1u1,d1v1,d2u1,d2v1,d2uv1);
255 cons.D1(X(3),ptrst,d1);
256
257 F(1) = nplan.XYZ().Dot(pts.XYZ()) + theD;
258 F(2) = nplan.XYZ().Dot(ptrst.XYZ()) + theD;
259
260 D(1,1) = nplan.Dot(d1u1);
261 D(1,2) = nplan.Dot(d1v1);
262 D(1,3) = 0.;
263
264 D(2,1) = 0.;
265 D(2,2) = 0.;
266 D(2,3) = nplan.Dot(d1);
267
268
269 ns = d1u1.Crossed(d1v1);
270 ncrossns = nplan.Crossed(ns);
271 norm = ncrossns.Magnitude();
272 ndotns = nplan.Dot(ns);
273
274 vref.SetLinearForm(ndotns,nplan,-1.,ns);
275 vref.Divide(norm);
276 vref.SetLinearForm(ray,vref,gp_Vec(ptrst,pts));
277
278 F(3) = vref.SquareMagnitude() - ray*ray;
279
280
81bba717 281 // Derivative corresponding to u1
7fd59977 282 temp = d2u1.Crossed(d1v1).Added(d1u1.Crossed(d2uv1));
283 grosterme = ncrossns.Dot(nplan.Crossed(temp))/norm/norm;
284 resul.SetLinearForm(-ray/norm*(grosterme*ndotns-nplan.Dot(temp)),nplan,
285 ray*grosterme/norm,ns,
286 -ray/norm,temp,
287 d1u1);
288
289 D(3,1) = 2.*(resul.Dot(vref));
290
291
81bba717 292 // Derivative corresponding to v1
7fd59977 293 temp = d2uv1.Crossed(d1v1).Added(d1u1.Crossed(d2v1));
294 grosterme = ncrossns.Dot(nplan.Crossed(temp))/norm/norm;
295 resul.SetLinearForm(-ray/norm*(grosterme*ndotns-nplan.Dot(temp)),nplan,
296 ray*grosterme/norm,ns,
297 -ray/norm,temp,
298 d1v1);
299
300 D(3,2) = 2.*(resul.Dot(vref));
301
302 D(3,3) = -2.*(d1.Dot(vref));
303
304 return Standard_True;
305}
306
307//=======================================================================
308//function :
309//purpose :
310//=======================================================================
311void BRepBlend_SurfRstEvolRad::Set
312(const Handle(Adaptor3d_HSurface)& SurfRef,
313const Handle(Adaptor2d_HCurve2d)& RstRef)
314{
315 surfref = SurfRef;
316 rstref = RstRef;
317}
318
319//=======================================================================
320//function :
321//purpose :
322//=======================================================================
323void BRepBlend_SurfRstEvolRad::Set(const Standard_Real Param)
324{
325 d1gui = gp_Vec(0.,0.,0.);
326 nplan = gp_Vec(0.,0.,0.);
327 tguide->D2(Param,ptgui,d1gui,d2gui);
328 normtg = d1gui.Magnitude();
329 nplan.SetXYZ(d1gui.Normalized().XYZ());
330 gp_XYZ nplanXYZ(nplan.XYZ());
331 gp_XYZ ptguiXYZ(ptgui.XYZ());
332 theD = nplanXYZ.Dot(ptguiXYZ) ;
333 theD = theD * (-1.) ;
334 tevol->D1(Param,ray,dray);
335 ray=sg1*ray;
336 dray=sg1*dray;
337}
338
339//=======================================================================
340//function :
81bba717 341//purpose : Segments the curve in its useful part.
342// Precision is taken arbitrary small !?
7fd59977 343//=======================================================================
344 void BRepBlend_SurfRstEvolRad::Set
345(const Standard_Real First,
346const Standard_Real Last)
347{
348 tguide = guide->Trim(First,Last,1.e-12);
349 tevol = fevol->Trim(First,Last,1.e-12);
350}
351
352//=======================================================================
353//function :
354//purpose :
355//=======================================================================
356 void BRepBlend_SurfRstEvolRad::GetTolerance
357(math_Vector& Tolerance,
358const Standard_Real Tol) const
359{
360 Tolerance(1) = surf->UResolution(Tol);
361 Tolerance(2) = surf->VResolution(Tol);
362 Tolerance(3) = cons.Resolution(Tol);
363}
364
365//=======================================================================
366//function :
367//purpose :
368//=======================================================================
369 void BRepBlend_SurfRstEvolRad::GetBounds
370(math_Vector& InfBound,
371math_Vector& SupBound) const
372{
373 InfBound(1) = surf->FirstUParameter();
374 InfBound(2) = surf->FirstVParameter();
375 InfBound(3) = cons.FirstParameter();
376 SupBound(1) = surf->LastUParameter();
377 SupBound(2) = surf->LastVParameter();
378 SupBound(3) = cons.LastParameter();
379
380 if(!Precision::IsInfinite(InfBound(1)) &&
381 !Precision::IsInfinite(SupBound(1))) {
382 Standard_Real range = (SupBound(1) - InfBound(1));
383 InfBound(1) -= range;
384 SupBound(1) += range;
385 }
386 if(!Precision::IsInfinite(InfBound(2)) &&
387 !Precision::IsInfinite(SupBound(2))) {
388 Standard_Real range = (SupBound(2) - InfBound(2));
389 InfBound(2) -= range;
390 SupBound(2) += range;
391 }
392}
393
394//=======================================================================
395//function :
396//purpose :
397//=======================================================================
398 Standard_Boolean BRepBlend_SurfRstEvolRad::IsSolution
399(const math_Vector& Sol,
400const Standard_Real Tol)
401{
402 math_Vector valsol(1,3),secmember(1,3);
403 math_Matrix gradsol(1,3,1,3);
404
405 gp_Vec dnplan,d1u1,d1v1,d1urst,d1vrst,d1,temp,ns,ns2,ncrossns,resul;
406 gp_Pnt bid;
407 Standard_Real norm,ndotns,grosterme;
408 Standard_Real Cosa,Sina,Angle;
409
410 Values(Sol,valsol,gradsol);
411 if (Abs(valsol(1)) <= Tol &&
412 Abs(valsol(2)) <= Tol &&
413 Abs(valsol(3)) <= 2*Tol*Abs(ray) ) {
414
81bba717 415 // Calculation of tangents
7fd59977 416
417 pt2ds = gp_Pnt2d(Sol(1),Sol(2));
418 prmrst = Sol(3);
419 pt2drst = rst->Value(prmrst);
420 surf->D1(Sol(1),Sol(2),pts,d1u1,d1v1);
421 cons.D1(Sol(3),ptrst,d1);
422 dnplan.SetLinearForm(1./normtg,d2gui,
423 -1./normtg*(nplan.Dot(d2gui)),nplan);
424
425 temp.SetXYZ(pts.XYZ() - ptgui.XYZ());
426 secmember(1) = normtg - dnplan.Dot(temp);
427
428 temp.SetXYZ(ptrst.XYZ() - ptgui.XYZ());
429 secmember(2) = normtg - dnplan.Dot(temp);
430
431 ns = d1u1.Crossed(d1v1);
432 ncrossns = nplan.Crossed(ns);
433 ndotns = nplan.Dot(ns);
434 norm = ncrossns.Magnitude();
435
436 grosterme = ncrossns.Dot(dnplan.Crossed(ns))/norm/norm;
437 gp_Vec dnw;
438 dnw.SetLinearForm((dnplan.Dot(ns)-grosterme*ndotns)/norm,nplan,
439 ndotns/norm,dnplan,
440 grosterme/norm,ns);
441
442 ns.SetLinearForm(ndotns/norm,nplan, -1./norm,ns);
443 resul.SetLinearForm(ray, ns, gp_Vec(ptrst,pts));
444
445 secmember(3) = -2.*ray*(dnw.Dot(resul)) - 2.*dray*(ns.Dot(resul)) + 2.*ray*dray;
446 math_Gauss Resol(gradsol);
447 if (Resol.IsDone()) {
448 Resol.Solve(secmember);
449 istangent = Standard_False;
450 }
451 else {
452 math_SVD SingRS (gradsol);
453 if (SingRS.IsDone()) {
454 math_Vector DEDT(1,3);
455 DEDT = secmember;
456 SingRS.Solve(DEDT, secmember, 1.e-6);
457 istangent = Standard_False;
458 }
459 else istangent = Standard_True;
460 }
461
462 if (!istangent) {
463 tgs.SetLinearForm(secmember(1),d1u1,secmember(2),d1v1);
464 tgrst = secmember(3)*d1;
465 tg2ds.SetCoord(secmember(1),secmember(2));
466 surfrst->D1(pt2drst.X(),pt2drst.Y(),bid,d1urst,d1vrst);
467 Standard_Real a, b;
468 t3dto2d(a,b,tgrst,d1urst,d1vrst);
469 tg2drst.SetCoord(a,b);
470 istangent = Standard_False;
471 }
472 else {
473 istangent = Standard_True;
474 }
81bba717 475 // update of maxang
7fd59977 476 if(ray>0.) ns.Reverse();
477 ns2 = -resul.Normalized();
478
479 Cosa = ns.Dot(ns2);
480 Sina = nplan.Dot(ns.Crossed(ns2));
481 if (choix%2 != 0) {
81bba717 482 Sina = -Sina; //nplan is changed into -nplan
7fd59977 483 }
484
485 Angle = ACos(Cosa);
486 if (Sina <0.) {
c6541a0c 487 Angle = 2.*M_PI - Angle;
7fd59977 488 }
489
490 if (Angle>maxang) {maxang = Angle;}
491 if (Angle<minang) {minang = Angle;}
492 distmin = Min( distmin, pts.Distance(ptrst));
493
494 return Standard_True;
495 }
496 istangent = Standard_True;
497 return Standard_False;
498}
499
500
501//=======================================================================
502//function : GetMinimalDistance
503//purpose :
504//=======================================================================
505
506Standard_Real BRepBlend_SurfRstEvolRad::GetMinimalDistance() const
507{
508 return distmin;
509}
510
511//=======================================================================
512//function :
513//purpose :
514//=======================================================================
515const gp_Pnt& BRepBlend_SurfRstEvolRad::PointOnS() const
516{
517 return pts;
518}
519
520//=======================================================================
521//function :
522//purpose :
523//=======================================================================
524const gp_Pnt& BRepBlend_SurfRstEvolRad::PointOnRst() const
525{
526 return ptrst ;
527}
528
529//=======================================================================
530//function :
531//purpose :
532//=======================================================================
533const gp_Pnt2d& BRepBlend_SurfRstEvolRad::Pnt2dOnS() const
534{
535 return pt2ds;
536}
537
538//=======================================================================
539//function :
540//purpose :
541//=======================================================================
542const gp_Pnt2d& BRepBlend_SurfRstEvolRad::Pnt2dOnRst() const
543{
544 return pt2drst;
545}
546
547//=======================================================================
548//function :
549//purpose :
550//=======================================================================
551 Standard_Real BRepBlend_SurfRstEvolRad::ParameterOnRst() const
552{
553 return prmrst;
554}
555
556//=======================================================================
557//function :
558//purpose :
559//=======================================================================
560 Standard_Boolean BRepBlend_SurfRstEvolRad::IsTangencyPoint() const
561{
562 return istangent;
563}
564
565//=======================================================================
566//function :
567//purpose :
568//=======================================================================
569const gp_Vec& BRepBlend_SurfRstEvolRad::TangentOnS() const
570{
9775fa61 571 if (istangent) {throw Standard_DomainError();}
7fd59977 572 return tgs;
573}
574
575//=======================================================================
576//function :
577//purpose :
578//=======================================================================
579const gp_Vec2d& BRepBlend_SurfRstEvolRad::Tangent2dOnS() const
580{
9775fa61 581 if (istangent) {throw Standard_DomainError();}
7fd59977 582 return tg2ds;
583}
584
585//=======================================================================
586//function :
587//purpose :
588//=======================================================================
589const gp_Vec& BRepBlend_SurfRstEvolRad::TangentOnRst() const
590{
9775fa61 591 if (istangent) {throw Standard_DomainError();}
7fd59977 592 return tgrst;
593}
594
595//=======================================================================
596//function :
597//purpose :
598//=======================================================================
599const gp_Vec2d& BRepBlend_SurfRstEvolRad::Tangent2dOnRst() const
600{
9775fa61 601 if (istangent) {throw Standard_DomainError();}
7fd59977 602 return tg2drst;
603}
604
605//=======================================================================
606//function :
607//purpose :
608//=======================================================================
609 Standard_Boolean BRepBlend_SurfRstEvolRad::Decroch
610(const math_Vector& Sol,
611gp_Vec& NS,
612gp_Vec& TgS) const
613{
614 gp_Vec TgRst, NRst, NRstInPlane, NSInPlane;
615 gp_Pnt bid,Center;
616 gp_Vec d1u,d1v;
617 Standard_Real norm,unsurnorm;
618
619 surf->D1(Sol(1),Sol(2),bid,d1u,d1v);
620 NS = NSInPlane = d1u.Crossed(d1v);
621
622 norm = nplan.Crossed(NS).Magnitude();
623 unsurnorm = 1./norm;
624 NSInPlane.SetLinearForm(nplan.Dot(NS)*unsurnorm,nplan,-unsurnorm,NS);
625
626 Center.SetXYZ(bid.XYZ()+ray*NSInPlane.XYZ());
627 if(choix>2) NSInPlane.Reverse();
628 TgS = nplan.Crossed(gp_Vec(Center,bid));
629 if (choix%2 == 1) {
630 TgS.Reverse();
631 }
632 Standard_Real u,v;
633 rstref->Value(Sol(3)).Coord(u,v);
634 surfref->D1(u,v,bid,d1u,d1v);
635 NRst = d1u.Crossed(d1v);
636 norm = nplan.Crossed(NRst).Magnitude();
637 unsurnorm = 1./norm;
638 NRstInPlane.SetLinearForm(nplan.Dot(NRst)*unsurnorm,nplan,-unsurnorm,NRst);
639 gp_Vec centptrst(Center,bid);
640 if(centptrst.Dot(NRstInPlane) < 0.) NRstInPlane.Reverse();
641 TgRst = nplan.Crossed(centptrst);
642 if (choix%2 == 1) {
643 TgRst.Reverse();
644 }
645
646 Standard_Real dot, NT = NRstInPlane.Magnitude();
647 NT *= TgRst.Magnitude();
648 if (Abs(NT) < 1.e-7) {
81bba717 649 return Standard_False; // Singularity or Incoherence.
7fd59977 650 }
651 dot = NRstInPlane.Dot(TgRst);
652 dot /= NT;
653
654 return (dot < 1.e-10);
655}
656
657//=======================================================================
658//function :
659//purpose :
660//=======================================================================
661 void BRepBlend_SurfRstEvolRad::Set (const Standard_Integer Choix)
662{
663 choix = Choix;
664 switch (choix) {
665 case 1 :
666 case 2 :
667 sg1 = -1;
668 break;
669 case 3 :
670 case 4 :
671 sg1 = 1;
672 break;
673 default :
674 sg1 = -1;
675 break;
676 }
677}
678
679//=======================================================================
680//function :
681//purpose :
682//=======================================================================
683 void BRepBlend_SurfRstEvolRad::Set(const BlendFunc_SectionShape TypeSection)
684{
685 mySShape = TypeSection;
686}
687
688//=======================================================================
689//function :
690//purpose :
691//=======================================================================
692 void BRepBlend_SurfRstEvolRad::Section
693(const Standard_Real Param,
694const Standard_Real U,
695const Standard_Real V,
696const Standard_Real W,
697Standard_Real& Pdeb,
698Standard_Real& Pfin,
699gp_Circ& C)
700{
701 gp_Vec d1u1,d1v1;
702 gp_Vec ns, np;
703 Standard_Real norm;
704 gp_Pnt Center;
705
706 tguide->D1(Param,ptgui,d1gui);
707 np = d1gui.Normalized();
708 ray = sg1*tevol->Value(Param);
709
710 surf->D1(U,V,pts,d1u1,d1v1);
711 ptrst = cons.Value(W);
712
713 ns = d1u1.Crossed(d1v1);
714
715 norm = nplan.Crossed(ns).Magnitude();
716 ns.SetLinearForm(nplan.Dot(ns)/norm,nplan, -1./norm,ns);
717 Center.SetXYZ(pts.XYZ()+ray*ns.XYZ());
718 C.SetRadius(Abs(ray));
719
720 if (ray > 0) {
721 ns.Reverse();
722 }
723 if (choix%2 != 0) {
724 np.Reverse();
725 }
726 C.SetPosition(gp_Ax2(Center,np,ns));
727
728 Pdeb = 0.; //ElCLib::Parameter(C,pts);
729 Pfin = ElCLib::Parameter(C,ptrst);
730
81bba717 731 // Test negative and almost null angles : Single Case
c6541a0c 732 if (Pfin>1.5*M_PI) {
7fd59977 733 np.Reverse();
734 C.SetPosition(gp_Ax2(Center,np,ns));
735 Pfin = ElCLib::Parameter(C,ptrst);
736 }
737 if (Pfin < Precision::PConfusion()) Pfin += Precision::PConfusion();
738}
739
740//=======================================================================
741//function :
742//purpose :
743//=======================================================================
744 Standard_Boolean BRepBlend_SurfRstEvolRad::IsRational() const
745{
746 return (mySShape==BlendFunc_Rational || mySShape==BlendFunc_QuasiAngular);
747}
748
749//=======================================================================
750//function :
751//purpose :
752//=======================================================================
753 Standard_Real BRepBlend_SurfRstEvolRad::GetSectionSize() const
754{
755 return maxang*Abs(ray);
756}
757
758//=======================================================================
759//function :
760//purpose :
761//=======================================================================
762 void BRepBlend_SurfRstEvolRad::GetMinimalWeight(TColStd_Array1OfReal& Weigths) const
763{
764 BlendFunc::GetMinimalWeights(mySShape, myTConv, minang, maxang, Weigths );
81bba717 765 // It is supposed that it does not depend on the Radius!
7fd59977 766}
767
768//=======================================================================
769//function :
770//purpose :
771//=======================================================================
772 Standard_Integer BRepBlend_SurfRstEvolRad::NbIntervals(const GeomAbs_Shape S) const
773{
774 Standard_Integer Nb_Int_Courbe, Nb_Int_Loi;
775 Nb_Int_Courbe = guide->NbIntervals(BlendFunc::NextShape(S));
776 Nb_Int_Loi = fevol->NbIntervals(S);
777
778 if (Nb_Int_Loi==1) {
779 return Nb_Int_Courbe;
780 }
781
782 TColStd_Array1OfReal IntC(1, Nb_Int_Courbe+1);
783 TColStd_Array1OfReal IntL(1, Nb_Int_Loi+1);
784 TColStd_SequenceOfReal Inter;
785 guide->Intervals(IntC, BlendFunc::NextShape(S));
786 fevol->Intervals(IntL, S);
787
788 FusionneIntervalles( IntC, IntL, Inter);
789 return Inter.Length()-1;
790}
791
792//=======================================================================
793//function :
794//purpose :
795//=======================================================================
796 void BRepBlend_SurfRstEvolRad::Intervals(TColStd_Array1OfReal& T,
797 const GeomAbs_Shape S) const
798{
799 Standard_Integer Nb_Int_Courbe, Nb_Int_Loi;
800 Nb_Int_Courbe = guide->NbIntervals(BlendFunc::NextShape(S));
801 Nb_Int_Loi = fevol->NbIntervals(S);
802
803 if (Nb_Int_Loi==1) {
804 guide->Intervals(T, BlendFunc::NextShape(S));
805 }
806 else {
807 TColStd_Array1OfReal IntC(1, Nb_Int_Courbe+1);
808 TColStd_Array1OfReal IntL(1, Nb_Int_Loi+1);
809 TColStd_SequenceOfReal Inter;
810 guide->Intervals(IntC, BlendFunc::NextShape(S));
811 fevol->Intervals(IntL, S);
812
813 FusionneIntervalles( IntC, IntL, Inter);
814 for (Standard_Integer ii=1; ii<=Inter.Length(); ii++) {
815 T(ii) = Inter(ii);
816 }
817 }
818}
819
820
821//=======================================================================
822//function :
823//purpose :
824//=======================================================================
825 void BRepBlend_SurfRstEvolRad::GetShape
826(Standard_Integer& NbPoles,
827Standard_Integer& NbKnots,
828Standard_Integer& Degree,
829Standard_Integer& NbPoles2d)
830{
831 NbPoles2d = 2;
832 BlendFunc::GetShape(mySShape,maxang,NbPoles,NbKnots,Degree,myTConv);
833}
834
835//=======================================================================
836//function :
837//purpose :
838//=======================================================================
839 void BRepBlend_SurfRstEvolRad::GetTolerance
840(const Standard_Real BoundTol,
841const Standard_Real SurfTol,
842const Standard_Real AngleTol,
843math_Vector& Tol3d,
844math_Vector& Tol1d) const
845{
846 Standard_Integer low = Tol3d.Lower() , up=Tol3d.Upper();
847 Standard_Real Tol;
848 Tol= GeomFill::GetTolerance(myTConv, minang, Abs(ray),
849 AngleTol, SurfTol);
850 Tol1d.Init(SurfTol);
851 Tol3d.Init(SurfTol);
852 Tol3d(low+1) = Tol3d(up-1) = Min( Tol, SurfTol);
853 Tol3d(low) = Tol3d(up) = Min( Tol, BoundTol);
854}
855
856//=======================================================================
857//function :
858//purpose :
859//=======================================================================
860 void BRepBlend_SurfRstEvolRad::Knots(TColStd_Array1OfReal& TKnots)
861{
862 GeomFill::Knots(myTConv,TKnots);
863}
864
865//=======================================================================
866//function :
867//purpose :
868//=======================================================================
869 void BRepBlend_SurfRstEvolRad::Mults(TColStd_Array1OfInteger& TMults)
870{
871 GeomFill::Mults(myTConv,TMults);
872}
873
874//=======================================================================
875//function :
876//purpose :
877//=======================================================================
878 Standard_Boolean BRepBlend_SurfRstEvolRad::Section
879(const Blend_Point& P,
880TColgp_Array1OfPnt& Poles,
881TColgp_Array1OfVec& DPoles,
882TColgp_Array1OfPnt2d& Poles2d,
883TColgp_Array1OfVec2d& DPoles2d,
884TColStd_Array1OfReal& Weigths,
885TColStd_Array1OfReal& DWeigths)
886{
887
888 gp_Vec d1u1,d1v1,d2u1,d2v1,d2uv1,d1;
889 gp_Vec ns,ns2,dnplan,dnw,dn2w;//,np2,dnp2;
890 gp_Vec ncrossns;;
891 gp_Vec resulu,resulv,temp,tgct,resul;
892 gp_Vec d1urst,d1vrst;
893 gp_Pnt Center,bid;
894
75259fc5 895 Standard_Real norm,ndotns,grosterme,aDray;
7fd59977 896
897 math_Vector sol(1,3),valsol(1,3),secmember(1,3);
898 math_Matrix gradsol(1,3,1,3);
899
900 Standard_Real prm = P.Parameter(),rayprim;
7fd59977 901 Standard_Integer low = Poles.Lower();
902 Standard_Integer upp = Poles.Upper();
903 Standard_Boolean istgt;
904
905 tguide->D2(prm,ptgui,d1gui,d2gui);
906
75259fc5 907 tevol->D1(prm,ray,aDray);
7fd59977 908 ray=sg1*ray;
75259fc5 909 aDray=sg1*aDray;
7fd59977 910 normtg = d1gui.Magnitude();
911 nplan = d1gui.Normalized();
912 dnplan.SetLinearForm(1./normtg,d2gui,
913 -1./normtg*(nplan.Dot(d2gui)),nplan);
914
915 P.ParametersOnS(sol(1),sol(2));
916 sol(3) = prmrst = P.ParameterOnC();
917 pt2drst = rst->Value(prmrst);
918
919 Values(sol,valsol,gradsol);
920
921 surf->D2(sol(1),sol(2),pts,d1u1,d1v1,d2u1,d2v1,d2uv1);
922 cons.D1(sol(3),ptrst,d1);
923
924 temp.SetXYZ(pts.XYZ()- ptgui.XYZ());
925 secmember(1) = normtg - dnplan.Dot(temp);
926
927 temp.SetXYZ(ptrst.XYZ()- ptgui.XYZ());
928 secmember(2) = normtg - dnplan.Dot(temp);
929
930 ns = d1u1.Crossed(d1v1);
931 ncrossns = nplan.Crossed(ns);
932 ndotns = nplan.Dot(ns);
933 norm = ncrossns.Magnitude();
934 if (norm < Eps) {
81bba717 935 norm = 1; // Not enough, but it is not necessary to stop
0797d9d3 936#ifdef OCCT_DEBUG
81bba717 937 cout << " SurfRstEvolRad : Surface single " << endl;
7fd59977 938#endif
939 }
940
81bba717 941 // Derivative of n1 corresponding to w
7fd59977 942
943 grosterme = ncrossns.Dot(dnplan.Crossed(ns))/norm/norm;
944 dnw.SetLinearForm((dnplan.Dot(ns)-grosterme*ndotns)/norm,nplan,
945 ndotns/norm,dnplan,
946 grosterme/norm,ns);
947
948 temp.SetLinearForm(ndotns/norm,nplan, -1./norm,ns);
949 resul.SetLinearForm(ray,temp,gp_Vec(ptrst,pts));
950
951 //secmember(3) = -2.*ray*(dnw.Dot(resul)); // jag 950105 il manquait ray
75259fc5 952 secmember(3) = -2.*ray*(dnw.Dot(resul)) - 2.*aDray*(temp.Dot(resul)) + 2.*ray*aDray;
7fd59977 953 math_Gauss Resol(gradsol);
954
955 if (Resol.IsDone()) {
956 Resol.Solve(secmember);
957 istgt = Standard_False;
958 }
959 else {
960 math_SVD SingRS (gradsol);
961 if (SingRS.IsDone()) {
962 math_Vector DEDT(1,3);
963 DEDT = secmember;
964 SingRS.Solve(DEDT, secmember, 1.e-6);
965 istgt = Standard_False;
966 }
967 else istgt = Standard_True;
968 }
969
970 if (!istgt) {
971
972 tgs.SetLinearForm(secmember(1),d1u1,secmember(2),d1v1);
973 tgrst = secmember(3)*d1;
81bba717 974 // Derivative of n1 corresponding to u1
7fd59977 975 temp = d2u1.Crossed(d1v1).Added(d1u1.Crossed(d2uv1));
976 grosterme = ncrossns.Dot(nplan.Crossed(temp))/norm/norm;
977 resulu.SetLinearForm(-(grosterme*ndotns-nplan.Dot(temp))/norm,nplan,
978 grosterme/norm,ns,
979 -1./norm,temp);
980
81bba717 981 // Derivative of n1 corresponding to v1
7fd59977 982 temp = d2uv1.Crossed(d1v1).Added(d1u1.Crossed(d2v1));
983 grosterme = ncrossns.Dot(nplan.Crossed(temp))/norm/norm;
984 resulv.SetLinearForm(-(grosterme*ndotns-nplan.Dot(temp))/norm,nplan,
985 grosterme/norm,ns,
986 -1./norm,temp);
987
988
989 dnw.SetLinearForm(secmember(1),resulu,secmember(2),resulv,dnw);
990 ns.SetLinearForm(ndotns/norm,nplan, -1./norm,ns);
991
992 dn2w.SetLinearForm(ray, dnw, -1., tgrst, tgs);
75259fc5 993 dn2w.SetLinearForm(aDray,ns,dn2w);
7fd59977 994 norm = resul.Magnitude();
995 dn2w.Divide(norm);
996 ns2 = -resul.Normalized();
997 dn2w.SetLinearForm(ns2.Dot(dn2w),ns2,-1.,dn2w);
998
999 istgt = Standard_False;
1000 }
1001 else {
1002 ns.SetLinearForm(ndotns/norm,nplan, -1./norm,ns);
1003 ns2 = -resul.Normalized();
1004 istgt = Standard_True;
1005 }
1006
81bba717 1007 // Tops 2D
7fd59977 1008
1009 Poles2d(Poles2d.Lower()).SetCoord(sol(1),sol(2));
1010 Poles2d(Poles2d.Upper()).SetCoord(pt2drst.X(),pt2drst.Y());
1011 if (!istgt) {
1012 DPoles2d(Poles2d.Lower()).SetCoord(secmember(1),secmember(2));
1013 surfrst->D1(pt2drst.X(),pt2drst.Y(),bid,d1urst,d1vrst);
1014 Standard_Real a, b;
1015 t3dto2d(a,b,tgrst,d1urst,d1vrst);
1016 DPoles2d(Poles2d.Upper()).SetCoord(a,b);
1017 }
1018
81bba717 1019 // Linear Case
7fd59977 1020 if (mySShape == BlendFunc_Linear) {
1021 Poles(low) = pts;
1022 Poles(upp) = ptrst;
1023 Weigths(low) = 1.0;
1024 Weigths(upp) = 1.0;
1025 if (!istgt) {
1026 DPoles(low) = tgs;
1027 DPoles(upp) = tgrst;
1028 DWeigths(low) = 0.0;
1029 DWeigths(upp) = 0.0;
1030 }
1031 return (!istgt);
1032 }
1033
81bba717 1034 // Case of the circle
7fd59977 1035 Center.SetXYZ(pts.XYZ()+ray*ns.XYZ());
1036 if (!istgt) {
75259fc5 1037 tgct.SetLinearForm(ray,dnw,aDray,ns,tgs);
7fd59977 1038 }
1039
1040 if (ray > 0.) {
1041 ns.Reverse();
1042 if (!istgt) {
1043 dnw.Reverse();
1044 }
1045 }
1046 if (choix%2 != 0) {
1047 nplan.Reverse();
1048 dnplan.Reverse();
1049 }
1050 if (!istgt) {
81bba717 1051 if (ray < 0.) { // to avoid Abs(dray) some lines below
75259fc5 1052 rayprim = -aDray;
7fd59977 1053 }
75259fc5 1054 else rayprim = aDray;
7fd59977 1055
1056 return GeomFill::GetCircle(myTConv,
1057 ns, ns2,
1058 dnw, dn2w,
1059 nplan, dnplan,
1060 pts, ptrst,
1061 tgs, tgrst,
1062 Abs(ray),rayprim ,
1063 Center, tgct,
1064 Poles,
1065 DPoles,
1066 Weigths,
1067 DWeigths);
1068 }
1069 else {
1070 GeomFill::GetCircle(myTConv,
1071 ns, ns2,
1072 nplan, pts, ptrst,
1073 Abs(ray), Center,
1074 Poles, Weigths);
1075 return Standard_False;
1076 }
1077}
1078
1079//=======================================================================
1080//function :
1081//purpose :
1082//=======================================================================
35e08fe8 1083 Standard_Boolean BRepBlend_SurfRstEvolRad::Section (const Blend_Point& /*P*/,
1084 TColgp_Array1OfPnt& /*Poles*/,
1085 TColgp_Array1OfVec& /*DPoles*/,
1086 TColgp_Array1OfVec& /*D2Poles*/,
1087 TColgp_Array1OfPnt2d& /*Poles2d*/,
1088 TColgp_Array1OfVec2d& /*DPoles2d*/,
1089 TColgp_Array1OfVec2d& /*D2Poles2d*/,
1090 TColStd_Array1OfReal& /*Weigths*/,
1091 TColStd_Array1OfReal& /*DWeigths*/,
1092 TColStd_Array1OfReal& /*D2Weigths*/)
7fd59977 1093{
1094 return Standard_False;
1095}
1096
1097//=======================================================================
1098//function :
1099//purpose :
1100//=======================================================================
1101 void BRepBlend_SurfRstEvolRad::Section
1102(const Blend_Point& P,
1103TColgp_Array1OfPnt& Poles,
1104TColgp_Array1OfPnt2d& Poles2d,
1105TColStd_Array1OfReal& Weigths)
1106{
1107 gp_Vec d1u1,d1v1;//,d1;
1108 gp_Vec ns,ns2;//,temp,np2;
1109 gp_Pnt Center;
1110
1111 Standard_Real norm,u1,v1,w;
1112
1113 Standard_Real prm = P.Parameter();
1114 Standard_Integer low = Poles.Lower();
1115 Standard_Integer upp = Poles.Upper();
1116
1117 tguide->D1(prm,ptgui,d1gui);
1118 ray = tevol->Value(prm);
1119 ray=sg1*ray;
1120 nplan = d1gui.Normalized();
1121
1122 P.ParametersOnS(u1,v1);
81bba717 1123 w = P.ParameterOnC(); //jlr : point on curve not on surface
7fd59977 1124 gp_Pnt2d pt2d = rst->Value(w);
1125
1126 surf->D1(u1,v1,pts,d1u1,d1v1);
1127 ptrst = cons.Value(w);
1128
1129 distmin = Min (distmin, pts.Distance(ptrst));
1130
1131 Poles2d(Poles2d.Lower()).SetCoord(u1,v1);
1132 Poles2d(Poles2d.Upper()).SetCoord(pt2d.X(),pt2d.Y());
1133
81bba717 1134 // Linear case
7fd59977 1135 if (mySShape == BlendFunc_Linear) {
1136 Poles(low) = pts;
1137 Poles(upp) = ptrst;
1138 Weigths(low) = 1.0;
1139 Weigths(upp) = 1.0;
1140 return;
1141 }
1142
1143 ns = d1u1.Crossed(d1v1);
1144 norm = nplan.Crossed(ns).Magnitude();
1145
1146 ns.SetLinearForm(nplan.Dot(ns)/norm,nplan, -1./norm,ns);
1147
1148 Center.SetXYZ(pts.XYZ()+ray*ns.XYZ());
1149
1150 ns2 = gp_Vec(Center,ptrst).Normalized();
1151 if(ray>0) ns.Reverse();
1152 if (choix%2 != 0) {
1153 nplan.Reverse();
1154 }
1155
1156 GeomFill::GetCircle(myTConv,
1157 ns, ns2,
1158 nplan, pts, ptrst,
1159 Abs(ray), Center,
1160 Poles, Weigths);
1161}
1162
1163void BRepBlend_SurfRstEvolRad::Resolution(const Standard_Integer IC2d,
1164 const Standard_Real Tol,
1165 Standard_Real& TolU,
1166 Standard_Real& TolV) const
1167{
1168 if(IC2d == 1){
1169 TolU = surf->UResolution(Tol);
1170 TolV = surf->VResolution(Tol);
1171 }
1172 else {
1173 TolU = surfrst->UResolution(Tol);
1174 TolV = surfrst->VResolution(Tol);
1175 }
1176}
1177
1178
Open CASCADE Technology repository