1 // Created on: 1998-12-14
2 // Created by: Joelle CHAUVET
3 // Copyright (c) 1998-1999 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.
17 // Modified: Fri Jan 8 15:47:20 1999
18 // enfin un calcul exact pour D1 et D2
19 // le calcul par differ. finies est garde dans verifD1 et verifD2
20 // Modified: Mon Jan 18 11:06:46 1999
21 // mise au point de D1, D2 et IsConstant
23 #include <BSplCLib.hxx>
24 #include <Convert_ParameterisationType.hxx>
25 #include <GCPnts_AbscissaPoint.hxx>
26 #include <Geom_BSplineCurve.hxx>
27 #include <Geom_BSplineSurface.hxx>
28 #include <Geom_Circle.hxx>
29 #include <Geom_Curve.hxx>
30 #include <Geom_Geometry.hxx>
31 #include <Geom_Surface.hxx>
32 #include <Geom_TrimmedCurve.hxx>
33 #include <GeomAdaptor_Curve.hxx>
34 #include <GeomAdaptor_Surface.hxx>
35 #include <GeomConvert.hxx>
36 #include <GeomFill_AppSurf.hxx>
37 #include <GeomFill_Line.hxx>
38 #include <GeomFill_NSections.hxx>
39 #include <GeomFill_SectionGenerator.hxx>
40 #include <gp_Circ.hxx>
43 #include <Precision.hxx>
44 #include <Standard_OutOfRange.hxx>
45 #include <Standard_Type.hxx>
46 #include <TColGeom_Array1OfCurve.hxx>
47 #include <TColgp_Array2OfPnt.hxx>
48 #include <TColStd_Array1OfInteger.hxx>
49 #include <TColStd_Array1OfReal.hxx>
52 IMPLEMENT_STANDARD_RTTIEXT(GeomFill_NSections,GeomFill_SectionLaw)
56 # include <DrawTrSurf.hxx>
57 #include <Geom_Curve.hxx>
59 static Standard_Boolean Affich = 0;
60 static Standard_Integer NbSurf = 0;
64 // verification des fonctions de derivation D1 et D2 par differences finies
65 static Standard_Boolean verifD1(const TColgp_Array1OfPnt& P1,
66 const TColStd_Array1OfReal& W1,
67 const TColgp_Array1OfPnt& P2,
68 const TColStd_Array1OfReal& W2,
69 const TColgp_Array1OfVec& DPoles,
70 const TColStd_Array1OfReal& DWeights,
71 const Standard_Real pTol,
72 const Standard_Real wTol,
73 const Standard_Real pas)
75 Standard_Boolean ok = Standard_True;
76 Standard_Integer ii, L = P1.Length();
79 for (ii=1; ii<=L; ii++) {
80 dw = (W2(ii)-W1(ii)) / pas;
81 if (Abs(dw-DWeights(ii))>wTol) {
83 std::cout<<"erreur dans la derivee 1ere du poids pour l'indice "<<ii<<std::endl;
84 std::cout<<"par diff finies : "<<dw<<std::endl;
85 std::cout<<"resultat obtenu : "<<DWeights(ii)<<std::endl;
89 dP.SetXYZ( (P2(ii).XYZ()- P1(ii).XYZ()) /pas );
90 gp_Vec diff = dP - DPoles(ii);
91 if (diff.Magnitude()>pTol) {
93 std::cout<<"erreur dans la derivee 1ere du pole pour l'indice "<<ii<<std::endl;
94 std::cout<<"par diff finies : ("<<dP.X()
96 <<" "<<dP.Z()<<")"<<std::endl;
97 std::cout<<"resultat obtenu : ("<<DPoles(ii).X()
99 <<" "<<DPoles(ii).Z()<<")"<<std::endl;
107 static Standard_Boolean verifD2(const TColgp_Array1OfVec& DP1,
108 const TColStd_Array1OfReal& DW1,
109 const TColgp_Array1OfVec& DP2,
110 const TColStd_Array1OfReal& DW2,
111 const TColgp_Array1OfVec& D2Poles,
112 const TColStd_Array1OfReal& D2Weights,
113 const Standard_Real pTol,
114 const Standard_Real wTol,
115 const Standard_Real pas)
117 Standard_Boolean ok = Standard_True;
118 Standard_Integer ii, L = DP1.Length();
121 for (ii=1; ii<=L; ii++) {
122 Standard_Real dw1 = DW1(ii), dw2 = DW2(ii);
123 d2w = (dw2-dw1) / pas;
124 if (Abs(d2w-D2Weights(ii))>wTol) {
126 std::cout<<"erreur dans la derivee 2nde du poids pour l'indice "<<ii<<std::endl;
127 std::cout<<"par diff finies : "<<d2w<<std::endl;
128 std::cout<<"resultat obtenu : "<<D2Weights(ii)<<std::endl;
132 d2P.SetXYZ( (DP2(ii).XYZ()- DP1(ii).XYZ()) /pas );
133 gp_Vec diff = d2P - D2Poles(ii);
134 if (diff.Magnitude()>pTol) {
136 std::cout<<"erreur dans la derivee 2nde du pole pour l'indice "<<ii<<std::endl;
137 std::cout<<"par diff finies : ("<<d2P.X()
139 <<" "<<d2P.Z()<<")"<<std::endl;
140 std::cout<<"resultat obtenu : ("<<D2Poles(ii).X()
141 <<" "<<D2Poles(ii).Y()
142 <<" "<<D2Poles(ii).Z()<<")"<<std::endl;
151 // fonction d'evaluation des poles et des poids de mySurface pour D1 et D2
152 static void ResultEval(const Handle(Geom_BSplineSurface)& surf,
153 const Standard_Real V,
154 const Standard_Integer deriv,
155 TColStd_Array1OfReal& Result)
157 Standard_Boolean rational = surf->IsVRational() ;
158 Standard_Integer gap = 3;
159 if ( rational ) gap++;
160 Standard_Integer Cdeg = surf->VDegree(),
161 Cdim = surf->NbUPoles() * gap,
162 NbP = surf->NbVPoles();
165 Standard_Integer Ksize = NbP + Cdeg + 1;
166 TColStd_Array1OfReal FKnots(1,Ksize);
167 surf->VKnotSequence(FKnots);
170 Standard_Integer Psize = Cdim * NbP;
171 TColStd_Array1OfReal SPoles(1,Psize);
172 Standard_Integer ii, jj, ipole=1;
173 for (jj=1;jj<=NbP;jj++) {
174 for (ii=1;ii<=surf->NbUPoles();ii++) {
175 SPoles(ipole) = surf->Pole(ii,jj).X();
176 SPoles(ipole+1) = surf->Pole(ii,jj).Y();
177 SPoles(ipole+2) = surf->Pole(ii,jj).Z();
179 SPoles(ipole+3) = surf->Weight(ii,jj);
180 SPoles(ipole) *= SPoles(ipole+3);
181 SPoles(ipole+1) *= SPoles(ipole+3);
182 SPoles(ipole+2) *= SPoles(ipole+3);
187 Standard_Real * Padr = (Standard_Real *) &SPoles(1);
189 Standard_Boolean periodic_flag = Standard_False ;
190 Standard_Integer extrap_mode[2];
191 extrap_mode[0] = extrap_mode[1] = Cdeg;
192 TColStd_Array1OfReal EvalBS(1, Cdim * (deriv+1)) ;
193 Standard_Real * Eadr = (Standard_Real *) &EvalBS(1) ;
194 BSplCLib::Eval(V,periodic_flag,deriv,extrap_mode[0],
195 Cdeg,FKnots,Cdim,*Padr,*Eadr);
197 for (ii=1;ii<=Cdim;ii++) {
198 Result(ii) = EvalBS(ii+deriv*Cdim);
203 //=======================================================================
204 //function : GeomFill_NSections
206 //=======================================================================
208 GeomFill_NSections::GeomFill_NSections(const TColGeom_SequenceOfCurve& NC)
219 //=======================================================================
220 //function : GeomFill_NSections
222 //=======================================================================
224 GeomFill_NSections::GeomFill_NSections(const TColGeom_SequenceOfCurve& NC,
225 const TColStd_SequenceOfReal& NP)
237 //=======================================================================
238 //function : GeomFill_NSections
240 //=======================================================================
242 GeomFill_NSections::GeomFill_NSections(const TColGeom_SequenceOfCurve& NC,
243 const TColStd_SequenceOfReal& NP,
244 const Standard_Real UF,
245 const Standard_Real UL,
246 const Standard_Real VF,
247 const Standard_Real VL)
259 //=======================================================================
260 //function : GeomFill_NSections
262 //=======================================================================
264 GeomFill_NSections::GeomFill_NSections(const TColGeom_SequenceOfCurve& NC,
265 const GeomFill_SequenceOfTrsf& Trsfs,
266 const TColStd_SequenceOfReal& NP,
267 const Standard_Real UF,
268 const Standard_Real UL,
269 const Standard_Real VF,
270 const Standard_Real VL,
271 const Handle(Geom_BSplineSurface)& Surf)
284 //=======================================================
286 //=======================================================
287 Standard_Boolean GeomFill_NSections::D0(const Standard_Real V,
288 TColgp_Array1OfPnt& Poles,
289 TColStd_Array1OfReal& Weights)
291 if (mySurface.IsNull()) {
292 return Standard_False;
295 Handle(Geom_BSplineCurve) Curve
296 = Handle(Geom_BSplineCurve)::DownCast(mySurface->VIso( V, Standard_False ));
297 TColgp_Array1OfPnt poles(1,mySurface->NbUPoles());
298 TColStd_Array1OfReal weights(1,mySurface->NbUPoles());
300 Curve->Weights(weights);
301 Standard_Integer ii, L = Poles.Length();
302 for (ii=1; ii<=L; ii++) {
303 Poles(ii).SetXYZ(poles(ii).XYZ());
304 Weights(ii) = weights(ii);
307 return Standard_True;
310 //=======================================================
312 //=======================================================
313 Standard_Boolean GeomFill_NSections::D1(const Standard_Real V,
314 TColgp_Array1OfPnt& Poles,
315 TColgp_Array1OfVec& DPoles,
316 TColStd_Array1OfReal& Weights,
317 TColStd_Array1OfReal& DWeights)
319 if (mySurface.IsNull() ) return Standard_False;
321 Standard_Boolean ok = D0(V,Poles,Weights);
322 if (!ok) return Standard_False;
324 Standard_Integer L = Poles.Length(), derivative_request = 1;
325 Standard_Boolean rational = mySurface->IsVRational() ;
326 Standard_Integer gap = 3;
329 Standard_Integer dimResult = mySurface->NbUPoles() * gap;
330 Handle(Geom_BSplineSurface) surf_deper;
331 if (mySurface->IsVPeriodic()) {
332 surf_deper = Handle(Geom_BSplineSurface)::DownCast(mySurface->Copy());
333 surf_deper->SetVNotPeriodic();
334 dimResult = surf_deper->NbUPoles() * gap;
336 TColStd_Array1OfReal Result(1,dimResult);
337 if (mySurface->IsVPeriodic()) {
338 ResultEval(surf_deper,V,derivative_request,Result);
341 ResultEval(mySurface,V,derivative_request,Result);
345 Standard_Real ww, EpsW = 10*Precision::PConfusion();
346 Standard_Boolean NullWeight = Standard_False;
347 if (!rational) DWeights.Init(0.);
348 Standard_Integer indice = 1, ii;
350 // recopie des poles du resultat sous forme de points 3D et de poids
351 for (ii=1; ii<=L && (!NullWeight) ; ii++) {
352 DPoles(ii).SetX( Result(indice) );
353 DPoles(ii).SetY( Result(indice+1) );
354 DPoles(ii).SetZ( Result(indice+2) );
358 NullWeight = Standard_True;
361 DWeights(ii) = Result(indice+3);
363 .SetXYZ( ( DPoles(ii).XYZ()-DWeights(ii)*Poles(ii).Coord() ) / ww );
368 if (NullWeight) return Standard_False;
370 // verif par diff finies sous debug sauf pour les surfaces periodiques
372 if (!mySurface->IsVPeriodic()) {
373 Standard_Real pas = 1.e-6, wTol = 1.e-4, pTol = 1.e-3;
375 Standard_Boolean ok1,ok2;
376 TColStd_Array1OfReal W1(1,L),W2(1,L);
377 TColgp_Array1OfPnt P1(1,L),P2(1,L);
378 gp_Pnt nul(0.,0.,0.);
388 if (!ok1 || !ok2) std::cout<<"probleme en D0"<<std::endl;
389 Standard_Boolean check = verifD1(P1,W1,P2,W2,DPoles,DWeights,pTol,wTol,pas);
390 if (!check) std::cout<<"D1 incorrecte en V = "<<V<<std::endl;
394 return Standard_True;
397 //=======================================================
399 //=======================================================
400 Standard_Boolean GeomFill_NSections::D2(const Standard_Real V,
401 TColgp_Array1OfPnt& Poles,
402 TColgp_Array1OfVec& DPoles,
403 TColgp_Array1OfVec& D2Poles,
404 TColStd_Array1OfReal& Weights,
405 TColStd_Array1OfReal& DWeights,
406 TColStd_Array1OfReal& D2Weights)
408 if (mySurface.IsNull() ) return Standard_False;
410 // pb dans BSplCLib::Eval() pour les surfaces rationnelles de degre 1
411 // si l'ordre de derivation est egal a 2.
412 if (mySurface->VDegree()<2) return Standard_False;
414 Standard_Boolean ok = D1(V,Poles,DPoles,Weights,DWeights);
415 if (!ok) return Standard_False;
417 Standard_Integer L = Poles.Length(), derivative_request = 2;
418 Standard_Boolean rational = mySurface->IsVRational() ;
419 Standard_Integer gap = 3;
422 Standard_Integer dimResult = mySurface->NbUPoles() * gap;
423 Handle(Geom_BSplineSurface) surf_deper;
424 if (mySurface->IsVPeriodic()) {
425 surf_deper = Handle(Geom_BSplineSurface)::DownCast(mySurface->Copy());
426 surf_deper->SetVNotPeriodic();
427 dimResult = surf_deper->NbUPoles() * gap;
429 TColStd_Array1OfReal Result(1,dimResult);
430 if (mySurface->IsVPeriodic()) {
431 ResultEval(surf_deper,V,derivative_request,Result);
434 ResultEval(mySurface,V,derivative_request,Result);
438 Standard_Real ww, EpsW = 10*Precision::PConfusion();
439 Standard_Boolean NullWeight = Standard_False;
440 if (!rational) D2Weights.Init(0.);
441 Standard_Integer indice = 1, ii;
443 // recopie des poles du resultat sous forme de points 3D et de poids
444 for (ii=1; ii<=L && (!NullWeight) ; ii++) {
445 D2Poles(ii).SetX( Result(indice) );
446 D2Poles(ii).SetY( Result(indice+1) );
447 D2Poles(ii).SetZ( Result(indice+2) );
451 NullWeight = Standard_True;
454 D2Weights(ii) = Result(indice+3);
456 .SetXYZ( ( D2Poles(ii).XYZ() - D2Weights(ii)*Poles(ii).Coord()
457 - 2*DWeights(ii)*DPoles(ii).XYZ() ) / ww );
462 if (NullWeight) return Standard_False;
464 // verif par diff finies sous debug sauf pour les surfaces periodiques
466 if (!mySurface->IsVPeriodic()) {
468 Standard_Boolean ok1,ok2;
469 Standard_Real pas = 1.e-6, wTol = 1.e-4, pTol = 1.e-3;
470 TColStd_Array1OfReal W1(1,L),W2(1,L),DW1(1,L),DW2(1,L);
471 TColgp_Array1OfPnt P1(1,L),P2(1,L);
472 TColgp_Array1OfVec DP1(1,L),DP2(1,L);
473 gp_Pnt nul(0.,0.,0.);
474 gp_Vec Vnul(0.,0.,0.);
486 ok1 = D1(V1,P1,DP1,W1,DW1);
487 ok2 = D1(V2,P2,DP2,W2,DW2);
488 if (!ok1 || !ok2) std::cout<<"probleme en D0 ou en D1"<<std::endl;
489 Standard_Boolean check = verifD2(DP1,DW1,DP2,DW2,D2Poles,D2Weights,pTol,wTol,pas);
490 if (!check) std::cout<<"D2 incorrecte en V = "<<V<<std::endl;
494 return Standard_True;
497 //=======================================================
498 // Purpose :BSplineSurface()
499 //=======================================================
500 Handle(Geom_BSplineSurface)
501 GeomFill_NSections::BSplineSurface() const
507 //=======================================================
508 // Purpose :SetSurface()
509 //=======================================================
510 void GeomFill_NSections::SetSurface(const Handle(Geom_BSplineSurface)& RefSurf)
515 //=======================================================
516 // Purpose :ComputeSurface()
517 //=======================================================
518 void GeomFill_NSections::ComputeSurface()
521 Handle(Geom_BSplineSurface) BS;
522 if (myRefSurf.IsNull()) {
524 Standard_Real myPres3d = 1.e-06;
525 Standard_Integer i,j,jdeb=1,jfin=mySections.Length();
529 //We will not be able to create surface from single curve.
533 GeomFill_SectionGenerator section;
534 Handle(Geom_BSplineSurface) surface;
536 for (j=jdeb; j<=jfin; j++) {
538 // read the j-th curve
539 Handle(Geom_Curve) curv = mySections(j);
541 // transformation to BSpline reparametrized to [UFirst,ULast]
542 Handle(Geom_BSplineCurve) curvBS = Handle(Geom_BSplineCurve)::DownCast (curv);
545 curvBS = GeomConvert::CurveToBSplineCurve (curv, Convert_QuasiAngular);
548 TColStd_Array1OfReal BSK(1,curvBS->NbKnots());
550 BSplCLib::Reparametrize(UFirst,ULast,BSK);
551 curvBS->SetKnots(BSK);
553 section.AddCurve(curvBS);
558 curv = mySections(jfin+1);
559 first = curv->FirstParameter();
560 last = curv->LastParameter();
561 TColgp_Array1OfPnt Extremities(1,2);
562 Extremities(1) = curv->Value(first);
563 Extremities(2) = curv->Value(last);
564 TColStd_Array1OfReal Bounds(1,2);
567 Standard_Real Deg = 1;
568 TColStd_Array1OfInteger Mult(1,2);
569 Mult(1) = (Standard_Integer ) Deg+1;
570 Mult(2) = (Standard_Integer ) Deg+1;
571 Handle(Geom_BSplineCurve) BSPoint
572 = new Geom_BSplineCurve(Extremities,Bounds,Mult,(Standard_Integer ) Deg);
573 section.AddCurve(BSPoint);
576 Standard_Integer Nbcurves = mySections.Length();
577 Standard_Integer Nbpar = myParams.Length();
580 Handle(TColStd_HArray1OfReal) HPar
581 = new TColStd_HArray1OfReal(1, Nbpar);
582 for (i = 1; i <= Nbpar; i++) {
583 HPar->SetValue(i, myParams(i));
585 section.SetParam(HPar);
587 section.Perform(Precision::PConfusion());
589 Handle(GeomFill_Line) line = new GeomFill_Line(Nbcurves);
590 Standard_Integer nbIt = 0, degmin = 2, degmax = 6;
591 Standard_Boolean knownP = Nbpar > 0;
592 GeomFill_AppSurf anApprox(degmin, degmax, myPres3d, myPres3d, nbIt, knownP);
593 anApprox.SetContinuity(GeomAbs_C1);
594 Standard_Boolean SpApprox = Standard_True;
595 anApprox.Perform(line, section, SpApprox);
598 new Geom_BSplineSurface(anApprox.SurfPoles(), anApprox.SurfWeights(),
599 anApprox.SurfUKnots(), anApprox.SurfVKnots(),
600 anApprox.SurfUMults(), anApprox.SurfVMults(),
601 anApprox.UDegree(), anApprox.VDegree(),
602 section.IsPeriodic());
607 // segmentation de myRefSurf
608 Standard_Real Ui1, Ui2, V0, V1;
609 BS = Handle(Geom_BSplineSurface)::DownCast(myRefSurf->Copy());
612 Standard_Integer i1, i2;
613 myRefSurf->LocateU( Ui1, Precision::PConfusion(), i1, i2 );
614 if (Abs(Ui1 - myRefSurf->UKnot(i1)) <= Precision::PConfusion())
615 Ui1 = myRefSurf->UKnot(i1);
616 if (Abs(Ui1 - myRefSurf->UKnot(i2)) <= Precision::PConfusion())
617 Ui1 = myRefSurf->UKnot(i2);
618 myRefSurf->LocateU( Ui2, Precision::PConfusion(), i1, i2 );
619 if (Abs(Ui2 - myRefSurf->UKnot(i1)) <= Precision::PConfusion())
620 Ui2 = myRefSurf->UKnot(i1);
621 if (Abs(Ui2 - myRefSurf->UKnot(i2)) <= Precision::PConfusion())
622 Ui2 = myRefSurf->UKnot(i2);
623 V0 = myRefSurf->VKnot(myRefSurf->FirstVKnotIndex());
624 V1 = myRefSurf->VKnot(myRefSurf->LastVKnotIndex());
625 BS->CheckAndSegment(Ui1,Ui2,V0,V1);
628 // On augmente le degre pour que le positionnement D2 soit correct
629 if (mySurface->VDegree()<2) {
630 mySurface->IncreaseDegree(mySurface->UDegree(),2);
637 sprintf(name,"NS_Surf_%d",NbSurf);
638 DrawTrSurf::Set(name,BS);
639 std::cout<<std::endl<<"RESULTAT de ComputeSurface : NS_Surf_"<<NbSurf<<std::endl<<std::endl;
645 //=======================================================
646 // Purpose :SectionShape
647 //=======================================================
648 void GeomFill_NSections::SectionShape(Standard_Integer& NbPoles,
649 Standard_Integer& NbKnots,
650 Standard_Integer& Degree) const
652 if (mySurface.IsNull())
655 NbPoles = mySurface->NbUPoles();
656 NbKnots = mySurface->NbUKnots();
657 Degree = mySurface->UDegree();
660 //=======================================================
662 //=======================================================
663 void GeomFill_NSections::Knots(TColStd_Array1OfReal& TKnots) const
665 if (!mySurface.IsNull())
666 mySurface->UKnots(TKnots);
669 //=======================================================
671 //=======================================================
672 void GeomFill_NSections::Mults(TColStd_Array1OfInteger& TMults) const
674 if (!mySurface.IsNull())
675 mySurface->UMultiplicities(TMults);
679 //=======================================================
680 // Purpose :IsRational
681 //=======================================================
682 Standard_Boolean GeomFill_NSections::IsRational() const
684 if (!mySurface.IsNull())
685 return mySurface->IsURational();
687 return Standard_False;
690 //=======================================================
691 // Purpose :IsUPeriodic
692 //=======================================================
693 Standard_Boolean GeomFill_NSections::IsUPeriodic() const
695 if (!mySurface.IsNull())
696 return mySurface->IsUPeriodic();
698 return Standard_False;
701 //=======================================================
702 // Purpose :IsVPeriodic
703 //=======================================================
704 Standard_Boolean GeomFill_NSections::IsVPeriodic() const
706 if (!mySurface.IsNull())
707 return mySurface->IsVPeriodic();
709 return Standard_False;
712 //=======================================================
713 // Purpose :NbIntervals
714 //=======================================================
715 Standard_Integer GeomFill_NSections::NbIntervals(const GeomAbs_Shape S) const
717 if (mySurface.IsNull())
720 GeomAdaptor_Surface AdS(mySurface);
721 return AdS.NbVIntervals(S);
725 //=======================================================
726 // Purpose :Intervals
727 //=======================================================
728 void GeomFill_NSections::Intervals(TColStd_Array1OfReal& T,
729 const GeomAbs_Shape S) const
731 if (mySurface.IsNull())
734 GeomAdaptor_Surface AdS(mySurface);
739 //=======================================================
740 // Purpose : SetInterval
741 //=======================================================
742 // void GeomFill_NSections::SetInterval(const Standard_Real F,
743 void GeomFill_NSections::SetInterval(const Standard_Real ,
744 // const Standard_Real L)
745 const Standard_Real )
747 // rien a faire : mySurface est supposee Cn en V
750 //=======================================================
751 // Purpose : GetInterval
752 //=======================================================
753 void GeomFill_NSections::GetInterval(Standard_Real& F,
754 Standard_Real& L) const
760 //=======================================================
761 // Purpose : GetDomain
762 //=======================================================
763 void GeomFill_NSections::GetDomain(Standard_Real& F,
764 Standard_Real& L) const
770 //=======================================================
771 // Purpose : GetTolerance
772 //=======================================================
773 void GeomFill_NSections::GetTolerance(const Standard_Real BoundTol,
774 const Standard_Real SurfTol,
775 // const Standard_Real AngleTol,
776 const Standard_Real ,
777 TColStd_Array1OfReal& Tol3d) const
780 if (BoundTol<SurfTol) {
781 Tol3d(Tol3d.Lower()) = BoundTol;
782 Tol3d(Tol3d.Upper()) = BoundTol;
786 //=======================================================
787 // Purpose : BarycentreOfSurf
788 //=======================================================
789 gp_Pnt GeomFill_NSections::BarycentreOfSurf() const
792 Bary.SetCoord(0., 0., 0.);
794 if (mySurface.IsNull())
797 Standard_Integer ii,jj;
798 Standard_Real U0, U1, V0, V1;
799 mySurface->Bounds(U0,U1,V0,V1);
800 Standard_Real V = V0, DeltaV = ( V1 - V0 ) / 20;
801 Standard_Real U = U0, DeltaU = ( U1 - U0 ) / 20;
802 for(jj=0;jj<=20;jj++,V+=DeltaV) {
803 for (ii=0 ; ii <=20; ii++, U+=DeltaU) {
804 P = mySurface->Value(U,V);
805 Bary.ChangeCoord() += P.XYZ();
809 Bary.ChangeCoord() /= (21*21);
814 //=======================================================
815 // Purpose : MaximalSection
816 //=======================================================
817 Standard_Real GeomFill_NSections::MaximalSection() const
819 Standard_Real L, Lmax=0.;
821 for (ii=1; ii <=mySections.Length(); ii++) {
822 GeomAdaptor_Curve AC (mySections(ii));
823 L = GCPnts_AbscissaPoint::Length(AC);
824 if (L>Lmax) Lmax = L;
830 //=======================================================
831 // Purpose : GetMinimalWeight
832 //=======================================================
833 void GeomFill_NSections::GetMinimalWeight(TColStd_Array1OfReal& Weights) const
835 if (mySurface.IsNull())
838 if (mySurface->IsURational()) {
839 Standard_Integer NbU = mySurface->NbUPoles(),
840 NbV = mySurface->NbVPoles();
841 TColStd_Array2OfReal WSurf(1,NbU,1,NbV);
842 mySurface->Weights(WSurf);
843 Standard_Integer i,j;
844 for (i=1;i<=NbU;i++) {
845 Standard_Real min = WSurf(i,1);
846 for (j=2;j<=NbV;j++) {
847 if (min> WSurf(i,j)) min = WSurf(i,j);
849 Weights.SetValue(i,min);
859 //=======================================================
860 // Purpose : IsConstant
861 //=======================================================
862 Standard_Boolean GeomFill_NSections::IsConstant(Standard_Real& Error) const
864 // on se limite a 2 sections
865 Standard_Boolean isconst = (mySections.Length()==2);
866 Standard_Real Err = 0.;
869 GeomAdaptor_Curve AC1(mySections(1));
870 GeomAbs_CurveType CType = AC1.GetType();
871 GeomAdaptor_Curve AC2(mySections(2));
872 // les sections doivent avoir le meme type
873 isconst = ( AC2.GetType() == CType);
876 if (CType == GeomAbs_Circle) {
877 gp_Circ C1 = AC1.Circle();
878 gp_Circ C2 = AC2.Circle();
879 Standard_Real Tol = 1.e-7;
880 Standard_Boolean samedir, samerad, samepos;
881 samedir = (C1.Axis().IsParallel(C2.Axis(),1.e-4));
882 samerad = (Abs(C1.Radius()-C2.Radius())<Tol);
883 samepos = (C1.Location().Distance(C2.Location())<Tol);
885 gp_Ax1 D(C1.Location(),gp_Vec(C1.Location(),C2.Location()));
886 samepos = (C1.Axis().IsParallel(D,1.e-4));
888 isconst = samedir && samerad && samepos;
890 else if (CType == GeomAbs_Line) {
891 gp_Lin L1 = AC1.Line();
892 gp_Lin L2 = AC2.Line();
893 Standard_Real Tol = 1.e-7;
894 Standard_Boolean samedir, samelength, samepos;
895 samedir = (L1.Direction().IsParallel(L2.Direction(),1.e-4));
896 gp_Pnt P11 = AC1.Value(AC1.FirstParameter()),
897 P12 = AC1.Value(AC1.LastParameter()),
898 P21 = AC2.Value(AC2.FirstParameter()),
899 P22 = AC2.Value(AC2.LastParameter());
900 samelength = (Abs(P11.Distance(P12)-P21.Distance(P22))<Tol);
901 // l'ecart entre les 2 sections ne compte pas
902 samepos = ( ( P11.Distance(P21)<Tol && P12.Distance(P22)<Tol )
903 || ( P12.Distance(P21)<Tol && P11.Distance(P22)<Tol ) );
904 //samepos = Standard_True;
905 isconst = samedir && samelength && samepos;
908 isconst = Standard_False;
919 //=======================================================
920 // Purpose : ConstantSection
921 //=======================================================
922 Handle(Geom_Curve) GeomFill_NSections::ConstantSection() const
924 // Standard_Real Err;
925 // if (!IsConstant(Err)) throw StdFail_NotDone("The Law is not Constant!");
926 Handle(Geom_Curve) C;
927 C = Handle(Geom_Curve)::DownCast( mySections(1)->Copy());
932 //=======================================================
933 // Purpose : IsConicalLaw
934 //=======================================================
935 Standard_Boolean GeomFill_NSections::IsConicalLaw(Standard_Real& Error) const
937 Standard_Boolean isconic = (mySections.Length()==2);
938 Standard_Real Err = 0.;
940 GeomAdaptor_Curve AC1(mySections(1));
941 GeomAdaptor_Curve AC2(mySections(2));
942 isconic = ( AC1.GetType() == GeomAbs_Circle )
943 && ( AC2.GetType() == GeomAbs_Circle ) ;
945 gp_Circ C1 = AC1.Circle();
946 if (!myTrsfs.IsEmpty())
947 C1.Transform(myTrsfs(1).Inverted());
948 gp_Circ C2 = AC2.Circle();
949 if (!myTrsfs.IsEmpty())
950 C2.Transform(myTrsfs(2).Inverted());
951 Standard_Real Tol = 1.e-7;
952 //Standard_Boolean samedir, linearrad, sameaxis;
953 isconic = (C1.Axis().IsParallel(C2.Axis(),1.e-4));
954 // pour 2 sections, la variation du rayon est forcement lineaire
955 //linearrad = Standard_True;
956 // formule plus generale pour 3 sections au moins
957 // Standard_Real param0 = C2.Radius()*myParams(1) - C1.Radius()*myParams(2);
958 // param0 = param0 / (C2.Radius()-C1.Radius()) ;
959 // linearrad = ( Abs( C3.Radius()*myParams(1)-C1.Radius()*myParams(3)
960 // - param0*(C3.Radius()-C1.Radius()) ) < Tol);
963 gp_Lin Line1(C1.Axis());
964 isconic = (Line1.Distance(C2.Location()) < Tol);
966 sameaxis = (C1.Location().Distance(C2.Location())<Tol);
968 gp_Ax1 D(C1.Location(),gp_Vec(C1.Location(),C2.Location()));
969 sameaxis = (C1.Axis().IsParallel(D,1.e-4));
971 isconic = samedir && linearrad && sameaxis;
975 //// Modified by jgv, 18.02.2009 for OCC20866 ////
976 Standard_Real first1 = AC1.FirstParameter(), last1 = AC1.LastParameter();
977 Standard_Real first2 = AC2.FirstParameter(), last2 = AC2.LastParameter();
978 isconic = (Abs(first1-first2) <= Precision::PConfusion() &&
979 Abs(last1-last2) <= Precision::PConfusion());
980 //////////////////////////////////////////////////
991 //=======================================================
992 // Purpose : CirclSection
993 //=======================================================
994 Handle(Geom_Curve) GeomFill_NSections::CirclSection(const Standard_Real V) const
997 if (!IsConicalLaw(Err)) throw StdFail_NotDone("The Law is not Conical!");
999 GeomAdaptor_Curve AC1(mySections(1));
1000 GeomAdaptor_Curve AC2(mySections(mySections.Length()));
1001 gp_Circ C1 = AC1.Circle();
1002 gp_Circ C2 = AC2.Circle();
1004 Standard_Real p1 = myParams(1), p2 = myParams(myParams.Length());
1005 Standard_Real radius = ( C2.Radius() - C1.Radius() ) * (V - p1) / (p2 - p1)
1008 C1.SetRadius(radius);
1009 Handle(Geom_Curve) C = new (Geom_Circle) (C1);
1011 const Standard_Real aParF = AC1.FirstParameter();
1012 const Standard_Real aParL = AC1.LastParameter();
1013 const Standard_Real aPeriod = AC1.IsPeriodic() ? AC1.Period() : 0.0;
1015 if ((aPeriod == 0.0) || (Abs(aParL - aParF - aPeriod) > Precision::PConfusion()))
1017 Handle(Geom_Curve) Cbis = new Geom_TrimmedCurve(C, aParF, aParL);