2 // Created: Wed Dec 15 17:53:58 1993
3 // Author: Remi LEQUETTE
6 // History: pmn 26/09/97 Add parameters of approximation in BuildCurve3d
7 // Modified by skv - Thu Jun 3 12:39:19 2004 OCC5898
10 #include <BRepAdaptor_Surface.hxx>
11 #include <BRepAdaptor_HSurface.hxx>
12 #include <BRepAdaptor_HCurve2d.hxx>
13 #include <BRep_Tool.hxx>
14 #include <BRep_Builder.hxx>
15 #include <Geom_Surface.hxx>
16 #include <Geom_RectangularTrimmedSurface.hxx>
17 #include <Geom_Plane.hxx>
18 #include <Geom_Curve.hxx>
19 #include <Geom_BSplineCurve.hxx>
20 #include <Geom_TrimmedCurve.hxx>
21 #include <Geom2d_Curve.hxx>
22 #include <Geom2d_TrimmedCurve.hxx>
23 #include <Geom2d_BSplineCurve.hxx>
24 #include <GeomLib.hxx>
25 #include <TopExp_Explorer.hxx>
27 #include <TopoDS_Edge.hxx>
28 #include <TopoDS_Face.hxx>
29 #include <TopoDS_Vertex.hxx>
30 #include <TopTools_MapOfShape.hxx>
31 #include <TopTools_IndexedDataMapOfShapeListOfShape.hxx>
32 #include <TopTools_ListIteratorOfListOfShape.hxx>
37 #include <Standard_Real.hxx>
38 #include <Precision.hxx>
39 #include <BRep_GCurve.hxx>
40 #include <BRep_TEdge.hxx>
41 #include <BRep_TFace.hxx>
42 #include <AppParCurves_MultiCurve.hxx>
43 #include <AppParCurves_MultiBSpCurve.hxx>
44 #include <BRep_ListOfCurveRepresentation.hxx>
45 #include <BRep_CurveRepresentation.hxx>
46 #include <BRep_ListIteratorOfListOfCurveRepresentation.hxx>
47 #include <BRep_TVertex.hxx>
48 #include <Approx_SameParameter.hxx>
49 #include <TColgp_Array1OfPnt.hxx>
50 #include <TColgp_Array1OfPnt2d.hxx>
51 #include <TColStd_Array1OfReal.hxx>
52 #include <TColStd_HArray1OfReal.hxx>
53 #include <TColStd_MapOfTransient.hxx>
54 #include <GeomAdaptor_Curve.hxx>
55 #include <GeomAdaptor_HCurve.hxx>
56 #include <GeomAdaptor_Surface.hxx>
57 #include <GeomAdaptor_HSurface.hxx>
58 #include <Geom2dAdaptor_Curve.hxx>
59 #include <Geom2dAdaptor_HCurve.hxx>
60 #include <Geom2dAdaptor.hxx>
61 #include <Geom2dConvert.hxx>
62 #include <GCPnts_QuasiUniformDeflection.hxx>
63 #include <BSplCLib.hxx>
65 #include <Adaptor3d_CurveOnSurface.hxx>
66 #include <Extrema_LocateExtPC.hxx>
67 #include <ProjLib_ProjectedCurve.hxx>
68 #include <BRepClass3d_SolidClassifier.hxx>
69 #include <Bnd_Box.hxx>
70 #include <BRepBndLib.hxx>
71 #include <Approx_CurvilinearParameter.hxx>
72 #include <Geom_BSplineSurface.hxx>
75 static Standard_Real thePrecision = Precision::Confusion();
76 static Handle(Geom_Plane) thePlane;
78 //=======================================================================
79 //function : Precision
81 //=======================================================================
83 void BRepLib::Precision(const Standard_Real P)
88 //=======================================================================
89 //function : Precision
91 //=======================================================================
93 Standard_Real BRepLib::Precision()
98 //=======================================================================
101 //=======================================================================
103 void BRepLib::Plane(const Handle(Geom_Plane)& P)
109 //=======================================================================
112 //=======================================================================
114 const Handle(Geom_Plane)& BRepLib::Plane()
116 if (thePlane.IsNull()) thePlane = new Geom_Plane(gp::XOY());
119 //=======================================================================
120 //function : CheckSameRange
122 //=======================================================================
124 Standard_Boolean BRepLib::CheckSameRange(const TopoDS_Edge& AnEdge,
125 const Standard_Real Tolerance)
127 Standard_Boolean IsSameRange = Standard_True,
128 first_time_in = Standard_True ;
130 BRep_ListIteratorOfListOfCurveRepresentation an_Iterator
131 ((*((Handle(BRep_TEdge)*)&AnEdge.TShape()))->ChangeCurves());
133 Standard_Real first, last;
135 Standard_Real current_first =0., current_last =0. ;
137 Standard_Real current_first,current_last ;
139 Handle(BRep_GCurve) geometric_representation_ptr ;
141 while (IsSameRange && an_Iterator.More()) {
142 geometric_representation_ptr =
143 Handle(BRep_GCurve)::DownCast(an_Iterator.Value());
144 if (!geometric_representation_ptr.IsNull()) {
146 first = geometric_representation_ptr->First();
147 last = geometric_representation_ptr->Last();
148 if (first_time_in ) {
149 current_first = first ;
150 current_last = last ;
151 first_time_in = Standard_False ;
154 IsSameRange = (Abs(current_first - first) <= Tolerance)
155 && (Abs(current_last -last) <= Tolerance ) ;
163 //=======================================================================
164 //function : SameRange
166 //=======================================================================
168 void BRepLib::SameRange(const TopoDS_Edge& AnEdge,
169 const Standard_Real Tolerance)
171 BRep_ListIteratorOfListOfCurveRepresentation an_Iterator
172 ((*((Handle(BRep_TEdge)*)&AnEdge.TShape()))->ChangeCurves());
174 Handle(Geom2d_Curve) Curve2dPtr, Curve2dPtr2, NewCurve2dPtr, NewCurve2dPtr2;
175 TopLoc_Location LocalLoc ;
177 Standard_Boolean first_time_in = Standard_True,
180 Handle(BRep_GCurve) geometric_representation_ptr ;
186 const Handle(Geom_Curve) C = BRep_Tool::Curve(AnEdge,
191 first_time_in = Standard_False ;
194 while (an_Iterator.More()) {
195 geometric_representation_ptr =
196 Handle(BRep_GCurve)::DownCast(an_Iterator.Value());
197 if (! geometric_representation_ptr.IsNull()) {
199 has_curve = Standard_False ;
200 first = geometric_representation_ptr->First();
201 last = geometric_representation_ptr->Last();
202 if (geometric_representation_ptr->IsCurveOnSurface()) {
203 Curve2dPtr = geometric_representation_ptr->PCurve() ;
204 has_curve = Standard_True ;
206 if (geometric_representation_ptr->IsCurveOnClosedSurface()) {
207 Curve2dPtr2 = geometric_representation_ptr->PCurve2() ;
208 has_closed_curve = Standard_True ;
210 if (has_curve || has_closed_curve) {
212 current_first = first ;
213 current_last = last ;
214 first_time_in = Standard_False ;
217 if (Abs(first - current_first) > Precision::Confusion() ||
218 Abs(last - current_last) > Precision::Confusion() )
222 GeomLib::SameRange(Tolerance,
224 geometric_representation_ptr->First(),
225 geometric_representation_ptr->Last(),
229 geometric_representation_ptr->PCurve(NewCurve2dPtr) ;
231 if (has_closed_curve)
233 GeomLib::SameRange(Tolerance,
235 geometric_representation_ptr->First(),
236 geometric_representation_ptr->Last(),
240 geometric_representation_ptr->PCurve2(NewCurve2dPtr2) ;
248 B.Range(TopoDS::Edge(AnEdge),
256 //=======================================================================
257 //function : EvaluateMaxSegment
258 //purpose : return MaxSegment to pass in approximation, if MaxSegment==0 provided
259 //=======================================================================
261 static Standard_Integer evaluateMaxSegment(const Standard_Integer aMaxSegment,
262 const Adaptor3d_CurveOnSurface& aCurveOnSurface)
264 if (aMaxSegment != 0) return aMaxSegment;
266 Handle(Adaptor3d_HSurface) aSurf = aCurveOnSurface.GetSurface();
267 Handle(Adaptor2d_HCurve2d) aCurv2d = aCurveOnSurface.GetCurve();
269 Standard_Real aNbSKnots = 0, aNbC2dKnots = 0;
271 if (aSurf->GetType() == GeomAbs_BSplineSurface) {
272 Handle(Geom_BSplineSurface) aBSpline = aSurf->BSpline();
273 aNbSKnots = Max(aBSpline->NbUKnots(), aBSpline->NbVKnots());
275 if (aCurv2d->GetType() == GeomAbs_BSplineCurve) {
276 aNbC2dKnots = aCurv2d->NbKnots();
278 Standard_Integer aReturn = (Standard_Integer) ( 30 + Max(aNbSKnots, aNbC2dKnots) ) ;
282 //=======================================================================
283 //function : BuildCurve3d
285 //=======================================================================
287 Standard_Boolean BRepLib::BuildCurve3d(const TopoDS_Edge& AnEdge,
288 const Standard_Real Tolerance,
289 const GeomAbs_Shape Continuity,
290 const Standard_Integer MaxDegree,
291 const Standard_Integer MaxSegment)
293 Standard_Integer //ErrorCode,
299 TopLoc_Location LocalLoc,L[2],LC;
300 Standard_Real f,l,fc,lc, first[2], last[2],
304 Handle(Geom2d_Curve) Curve2dPtr, Curve2dArray[2] ;
305 Handle(Geom_Surface) SurfacePtr, SurfaceArray[2] ;
307 Standard_Integer not_done ;
308 // if the edge has a 3d curve returns true
311 const Handle(Geom_Curve) C = BRep_Tool::Curve(AnEdge,LocalLoc,f,l);
313 return Standard_True;
315 // this should not exists but UpdateEdge makes funny things
316 // if the edge is not same range
318 if (! CheckSameRange(AnEdge,
319 Precision::Confusion())) {
326 // search a curve on a plane
327 Handle(Geom_Surface) S;
328 Handle(Geom2d_Curve) PC;
329 Standard_Integer i = 0;
330 Handle(Geom_Plane) P;
335 BRep_Tool::CurveOnSurface(AnEdge,PC,S,LocalLoc,f,l,i);
336 Handle(Geom_RectangularTrimmedSurface) RT =
337 Handle(Geom_RectangularTrimmedSurface)::DownCast(S);
339 P = Handle(Geom_Plane)::DownCast(S);
342 P = Handle(Geom_Plane)::DownCast(RT->BasisSurface());
344 not_done = ! (S.IsNull() || !P.IsNull()) ;
347 // compute the 3d curve
348 gp_Ax2 axes = P->Position().Ax2();
349 Handle(Geom_Curve) C3d = GeomLib::To3d(axes,PC);
352 Standard_Real First, Last;
355 Standard_Boolean is_closed ;
356 is_closed = AnEdge.Closed() ;
358 B.UpdateEdge(AnEdge,C3d,LocalLoc,0.0e0);
359 BRep_Tool::Range(AnEdge, S, LC, First, Last);
360 B.Range(AnEdge, First, Last); //Do not forget 3D range.(PRO6412)
361 TopoDS_Edge E = AnEdge ;
362 E.Closed(is_closed) ;
367 // compute the 3d curve using existing surface
371 if (!BRep_Tool::Degenerated(AnEdge)) {
373 for (ii = 0 ; ii < 3 ; ii++ ) {
374 BRep_Tool::CurveOnSurface(TopoDS::Edge(AnEdge),
382 if (!Curve2dPtr.IsNull() && jj < 2){
383 Curve2dArray[jj] = Curve2dPtr ;
384 SurfaceArray[jj] = SurfacePtr ;
393 Curve2dPtr = Curve2dArray[0] ;
394 SurfacePtr = SurfaceArray[0] ;
396 Geom2dAdaptor_Curve AnAdaptor3dCurve2d (Curve2dPtr, f, l) ;
397 GeomAdaptor_Surface AnAdaptor3dSurface (SurfacePtr) ;
398 Handle(Geom2dAdaptor_HCurve) AnAdaptor3dCurve2dPtr =
399 new Geom2dAdaptor_HCurve(AnAdaptor3dCurve2d) ;
400 Handle(GeomAdaptor_HSurface) AnAdaptor3dSurfacePtr =
401 new GeomAdaptor_HSurface (AnAdaptor3dSurface) ;
402 Adaptor3d_CurveOnSurface CurveOnSurface( AnAdaptor3dCurve2dPtr,
403 AnAdaptor3dSurfacePtr) ;
405 Handle(Geom_Curve) NewCurvePtr ;
407 GeomLib::BuildCurve3d(Tolerance,
416 evaluateMaxSegment(MaxSegment,CurveOnSurface)) ;
418 tolerance = BRep_Tool::Tolerance(AnEdge) ;
420 //max_deviation = Max(tolerance, max_deviation) ;
421 max_deviation = Max( tolerance, Tolerance );
423 Standard_Boolean is_closed ;
424 is_closed = AnEdge.Closed() ;
425 B.UpdateEdge(TopoDS::Edge(AnEdge),
429 TopoDS_Edge E = AnEdge ;
430 E.Closed(is_closed) ;
433 // if there is only one curve on surface attached to the edge
434 // than it can be qualified sameparameter
436 B.SameParameter(TopoDS::Edge(AnEdge),
441 return Standard_False ;
445 return Standard_True;
447 //=======================================================================
448 //function : BuildCurves3d
450 //=======================================================================
452 Standard_Boolean BRepLib::BuildCurves3d(const TopoDS_Shape& S)
455 return BRepLib::BuildCurves3d(S,
459 //=======================================================================
460 //function : BuildCurves3d
462 //=======================================================================
464 Standard_Boolean BRepLib::BuildCurves3d(const TopoDS_Shape& S,
465 const Standard_Real Tolerance,
466 const GeomAbs_Shape Continuity,
467 const Standard_Integer MaxDegree,
468 const Standard_Integer MaxSegment)
470 Standard_Boolean boolean_value,
472 TopTools_MapOfShape a_counter ;
473 TopExp_Explorer ex(S,TopAbs_EDGE);
476 if (a_counter.Add(ex.Current())) {
478 BuildCurve3d(TopoDS::Edge(ex.Current()),
479 Tolerance, Continuity,
480 MaxDegree, MaxSegment);
481 ok = ok && boolean_value ;
487 //=======================================================================
488 //function : UpdateEdgeTolerance
490 //=======================================================================
492 Standard_Boolean BRepLib::UpdateEdgeTol(const TopoDS_Edge& AnEdge,
493 const Standard_Real MinToleranceRequested,
494 const Standard_Real MaxToleranceToCheck)
497 Standard_Integer curve_on_surface_index,
504 geom_reference_curve_flag = 0,
505 max_sampling_points = 90,
506 min_sampling_points = 30 ;
508 Standard_Real factor = 100.0e0,
509 // sampling_array[2],
514 coded_edge_tolerance,
515 edge_tolerance = 0.0e0 ;
516 Handle(TColStd_HArray1OfReal) parameters_ptr ;
517 Handle(BRep_GCurve) geometric_representation_ptr ;
519 if (BRep_Tool::Degenerated(AnEdge)) return Standard_False ;
520 coded_edge_tolerance = BRep_Tool::Tolerance(AnEdge) ;
521 if (coded_edge_tolerance > MaxToleranceToCheck) return Standard_False ;
523 const Handle(BRep_TEdge)& TE = *((Handle(BRep_TEdge)*)&AnEdge.TShape());
524 BRep_ListOfCurveRepresentation& list_curve_rep = TE->ChangeCurves() ;
525 BRep_ListIteratorOfListOfCurveRepresentation an_iterator(list_curve_rep),
526 second_iterator(list_curve_rep) ;
527 Handle(Geom2d_Curve) curve2d_ptr, new_curve2d_ptr;
528 Handle(Geom_Surface) surface_ptr ;
529 TopLoc_Location local_location ;
530 GCPnts_QuasiUniformDeflection a_sampler ;
531 GeomAdaptor_Curve geom_reference_curve ;
532 Adaptor3d_CurveOnSurface curve_on_surface_reference ;
533 Handle(Geom_Curve) C = BRep_Tool::Curve(AnEdge,
537 curve_on_surface_index = -1 ;
539 if (! local_location.IsIdentity()) {
540 C = Handle(Geom_Curve)::
541 DownCast(C-> Transformed(local_location.Transformation()) ) ;
543 geom_reference_curve.Load(C) ;
544 geom_reference_curve_flag = 1 ;
545 a_sampler.Initialize(geom_reference_curve,
546 MinToleranceRequested * factor,
552 curve_on_surface_index = 0 ;
554 while (not_done && an_iterator.More()) {
555 geometric_representation_ptr =
556 Handle(BRep_GCurve)::DownCast(second_iterator.Value());
557 if (!geometric_representation_ptr.IsNull()
558 && geometric_representation_ptr->IsCurveOnSurface()) {
559 curve2d_ptr = geometric_representation_ptr->PCurve() ;
560 local_location = geometric_representation_ptr->Location() ;
561 current_first = geometric_representation_ptr->First();
562 //first = geometric_representation_ptr->First();
563 current_last = geometric_representation_ptr->Last();
566 if (! local_location.IsIdentity() ) {
567 surface_ptr = Handle(Geom_Surface)::
568 DownCast( geometric_representation_ptr->Surface()->
569 Transformed(local_location.Transformation()) ) ;
573 geometric_representation_ptr->Surface() ;
577 curve_on_surface_index += 1 ;
579 Geom2dAdaptor_Curve AnAdaptor3dCurve2d (curve2d_ptr) ;
580 GeomAdaptor_Surface AnAdaptor3dSurface (surface_ptr) ;
581 Handle(Geom2dAdaptor_HCurve) AnAdaptor3dCurve2dPtr =
582 new Geom2dAdaptor_HCurve(AnAdaptor3dCurve2d) ;
583 Handle(GeomAdaptor_HSurface) AnAdaptor3dSurfacePtr =
584 new GeomAdaptor_HSurface (AnAdaptor3dSurface) ;
585 curve_on_surface_reference.Load( AnAdaptor3dCurve2dPtr) ;
586 curve_on_surface_reference.Load( AnAdaptor3dSurfacePtr) ;
587 a_sampler.Initialize(curve_on_surface_reference,
588 MinToleranceRequested * factor,
592 TColStd_Array1OfReal sampling_parameters(1,a_sampler.NbPoints()) ;
593 for (ii = 1 ; ii <= a_sampler.NbPoints() ; ii++) {
594 sampling_parameters(ii) = a_sampler.Parameter(ii) ;
596 if (a_sampler.NbPoints() < min_sampling_points) {
597 GeomLib::DensifyArray1OfReal(min_sampling_points,
601 else if (a_sampler.NbPoints() > max_sampling_points) {
602 GeomLib::RemovePointsFromArray(max_sampling_points,
609 new TColStd_HArray1OfReal(1,sampling_parameters.Length()) ;
610 for (ii = sampling_parameters.Lower() ; ii <= sampling_parameters.Upper() ; ii++) {
611 parameters_ptr->ChangeArray1()(jj) =
612 sampling_parameters(ii) ;
619 while (second_iterator.More()) {
620 geometric_representation_ptr =
621 Handle(BRep_GCurve)::DownCast(second_iterator.Value());
622 if (! geometric_representation_ptr.IsNull() &&
623 curve_index != curve_on_surface_index) {
625 has_curve = Standard_False ;
626 // first = geometric_representation_ptr->First();
627 // last = geometric_representation_ptr->Last();
628 local_location = geometric_representation_ptr->Location() ;
629 if (geometric_representation_ptr->IsCurveOnSurface()) {
630 curve2d_ptr = geometric_representation_ptr->PCurve() ;
631 has_curve = Standard_True ;
633 if (geometric_representation_ptr->IsCurveOnClosedSurface()) {
634 curve2d_ptr = geometric_representation_ptr->PCurve2() ;
635 has_closed_curve = Standard_True ;
640 if (! local_location.IsIdentity() ) {
641 surface_ptr = Handle(Geom_Surface)::
642 DownCast( geometric_representation_ptr->Surface()->
643 Transformed(local_location.Transformation()) ) ;
647 geometric_representation_ptr->Surface() ;
649 Geom2dAdaptor_Curve an_adaptor_curve2d (curve2d_ptr) ;
650 GeomAdaptor_Surface an_adaptor_surface(surface_ptr) ;
651 Handle(Geom2dAdaptor_HCurve) an_adaptor_curve2d_ptr =
652 new Geom2dAdaptor_HCurve(an_adaptor_curve2d) ;
653 Handle(GeomAdaptor_HSurface) an_adaptor_surface_ptr =
654 new GeomAdaptor_HSurface (an_adaptor_surface) ;
655 Adaptor3d_CurveOnSurface a_curve_on_surface(an_adaptor_curve2d_ptr,
656 an_adaptor_surface_ptr) ;
658 if (BRep_Tool::SameParameter(AnEdge)) {
660 GeomLib::EvalMaxParametricDistance(a_curve_on_surface,
661 geom_reference_curve,
662 MinToleranceRequested,
663 parameters_ptr->Array1(),
666 else if (geom_reference_curve_flag) {
667 GeomLib::EvalMaxDistanceAlongParameter(a_curve_on_surface,
668 geom_reference_curve,
669 MinToleranceRequested,
670 parameters_ptr->Array1(),
675 GeomLib::EvalMaxDistanceAlongParameter(a_curve_on_surface,
676 curve_on_surface_reference,
677 MinToleranceRequested,
678 parameters_ptr->Array1(),
681 max_distance *= safe_factor ;
682 edge_tolerance = Max(max_distance, edge_tolerance) ;
688 second_iterator.Next() ;
691 TE->Tolerance(edge_tolerance);
692 return Standard_True ;
695 //=======================================================================
696 //function : UpdateEdgeTolerance
698 //=======================================================================
700 Standard_Boolean BRepLib::UpdateEdgeTolerance(const TopoDS_Shape& S,
701 const Standard_Real MinToleranceRequested,
702 const Standard_Real MaxToleranceToCheck)
704 TopExp_Explorer ex(S,TopAbs_EDGE);
705 TopTools_MapOfShape a_counter ;
707 Standard_Boolean return_status = Standard_False,
711 if (a_counter.Add(ex.Current())) {
713 BRepLib::UpdateEdgeTol(TopoDS::Edge(ex.Current()),
714 MinToleranceRequested,
715 MaxToleranceToCheck) ;
716 if (local_flag && ! return_status) {
717 return_status = Standard_True ;
722 return return_status ;
725 //=======================================================================
726 //function : SetEdgeTol
728 //=======================================================================
730 static void SetEdgeTol(const TopoDS_Edge& E,
731 const TopoDS_Face& F)
734 const Handle(Geom_Surface)& S = BRep_Tool::Surface(F,L);
735 TopLoc_Location l = L.Predivided(E.Location());
737 const Handle(BRep_TEdge)& TE = *((Handle(BRep_TEdge)*)&E.TShape());
738 BRep_ListIteratorOfListOfCurveRepresentation itcr(TE->ChangeCurves());
740 while (itcr.More()) {
741 const Handle(BRep_CurveRepresentation)& cr = itcr.Value();
742 if(cr->IsCurveOnSurface(S,l)) return;
746 Handle(Geom_Plane) GP;
747 Handle(Geom_RectangularTrimmedSurface) GRTS;
748 GRTS = Handle(Geom_RectangularTrimmedSurface)::DownCast(S);
750 GP = Handle(Geom_Plane)::DownCast(GRTS->BasisSurface());
752 GP = Handle(Geom_Plane)::DownCast(S);
754 static Handle(GeomAdaptor_HCurve) HC;
755 static Handle(GeomAdaptor_HSurface) HS;
757 HC = new GeomAdaptor_HCurve();
758 HS = new GeomAdaptor_HSurface();
762 Standard_Real First, Last;
763 GeomAdaptor_Curve& GAC = HC->ChangeCurve();
764 GAC.Load(BRep_Tool::Curve(E,LC,First,Last));
765 LC = L.Predivided(LC);
767 if (!LC.IsIdentity()) {
768 GP = Handle(Geom_Plane)::DownCast(
769 GP->Transformed(LC.Transformation()));
771 GeomAdaptor_Surface& GAS = HS->ChangeSurface();
774 ProjLib_ProjectedCurve Proj(HS,HC);
775 Handle(Geom2d_Curve) pc = Geom2dAdaptor::MakeCurve(Proj);
777 gp_Pln pln = GAS.Plane();
778 Standard_Real d2 = 0.;
779 Standard_Integer nn = 23;
780 Standard_Real unsurnn = 1./nn;
781 for(Standard_Integer i = 0; i <= nn; i++){
782 Standard_Real t = unsurnn*i;
783 Standard_Real u = First*(1.-t) + Last*t;
784 gp_Pnt Pc3d = HC->Value(u);
785 gp_Pnt2d p2d = pc->Value(u);
786 gp_Pnt Pcons = ElSLib::Value(p2d.X(),p2d.Y(),pln);
787 Standard_Real temp = Pc3d.SquareDistance(Pcons);
788 if(temp > d2) d2 = temp;
791 TE->UpdateTolerance(d2);
794 //=======================================================================
795 //function : SameParameter
797 //=======================================================================
798 void BRepLib::SameParameter(const TopoDS_Shape& S,
799 const Standard_Real Tolerance,
800 const Standard_Boolean forced)
802 TopExp_Explorer ex(S,TopAbs_EDGE);
803 TopTools_MapOfShape Done;
807 if (Done.Add(ex.Current())) {
809 brB.SameRange(TopoDS::Edge(ex.Current()), Standard_False);
810 brB.SameParameter(TopoDS::Edge(ex.Current()), Standard_False);
812 BRepLib::SameParameter(TopoDS::Edge(ex.Current()),Tolerance);
818 BRepAdaptor_Surface BS;
819 for(ex.Init(S,TopAbs_FACE); ex.More(); ex.Next()){
820 const TopoDS_Face& curface = TopoDS::Face(ex.Current());
821 if(!Done.Add(curface)) continue;
822 BS.Initialize(curface);
823 if(BS.GetType() != GeomAbs_Plane) continue;
825 for(ex2.Init(curface,TopAbs_EDGE); ex2.More(); ex2.Next()){
826 const TopoDS_Edge& E = TopoDS::Edge(ex2.Current());
827 SetEdgeTol(E,curface);
830 BRepLib::UpdateTolerances(S);
833 //================================================================
834 //function : SameParameter
835 //WARNING : New spec DUB LBO 9/9/97.
836 // Recode in the edge the best tolerance found,
837 // for vertex extremities it is required to find something else
838 //================================================================
839 static Standard_Boolean EvalTol(const Handle(Geom2d_Curve)& pc,
840 const Handle(Geom_Surface)& s,
841 const GeomAdaptor_Curve& gac,
842 const Standard_Real tol,
843 Standard_Real& tolbail)
845 Standard_Integer ok = 0;
846 Standard_Real f = gac.FirstParameter();
847 Standard_Real l = gac.LastParameter();
848 Extrema_LocateExtPC Projector;
849 Projector.Initialize(gac,f,l,tol);
853 for(Standard_Integer i = 1; i <= 5; i++){
854 Standard_Real t = i/6.;
855 t = (1.-t) * f + t * l;
856 pc->Value(t).Coord(u,v);
858 Projector.Perform(p,t);
859 if (Projector.IsDone()) {
860 Standard_Real dist2 = Projector.SquareDistance();
861 if(dist2 > tolbail * tolbail) tolbail = sqrt (dist2);
868 static Standard_Real ComputeTol(const Handle(Adaptor3d_HCurve)& c3d,
869 const Handle(Adaptor2d_HCurve2d)& c2d,
870 const Handle(Adaptor3d_HSurface)& surf,
871 const Standard_Integer nbp)
875 TColStd_Array1OfReal dist(1,nbp+10);
879 Adaptor3d_CurveOnSurface cons(c2d,surf);
880 Standard_Real d2 = 0.;
881 Standard_Integer nn = nbp;
882 Standard_Real unsurnn = 1./nn;
883 Standard_Real first = c3d->FirstParameter();
884 Standard_Real last = c3d->LastParameter();
885 Standard_Integer i = 0;
886 for(i = 0; i <= nn; i++){
887 Standard_Real t = unsurnn*i;
888 Standard_Real u = first*(1.-t) + last*t;
889 gp_Pnt Pc3d = c3d->Value(u);
890 gp_Pnt Pcons = cons.Value(u);
891 if (Precision::IsInfinite(Pcons.X()) ||
892 Precision::IsInfinite(Pcons.Y()) ||
893 Precision::IsInfinite(Pcons.Z())) {
894 d2=Precision::Infinite();
897 Standard_Real temp = Pc3d.SquareDistance(Pcons);
903 if(temp > d2) d2 = temp;
907 Standard_Boolean ana = Standard_False;
908 Standard_Real D2 = 0;
909 Standard_Integer N1 = 0;
910 Standard_Integer N2 = 0;
911 Standard_Integer N3 = 0;
913 for( i = 1; i<= nbp+10; i++)
915 if( dist(i) < 1.0 ) N1++;
919 if( N1 > N2 && N2 != 0 ) N3 = 100*N2/(N1+N2);
920 if( N3 < 10 && N3 != 0 ) {
922 for( i = 1; i<= nbp+10; i++)
923 if( dist(i) > 0 && dist(i) < 1.0 )
924 if( dist(i) > D2 ) D2 = dist(i);
928 d2 = (!ana) ? 1.5*sqrt(d2) : 1.5*sqrt(D2);
929 if(d2<1.e-7) d2 = 1.e-7;
936 void BRepLib::SameParameter(const TopoDS_Edge& AnEdge,
937 const Standard_Real Tolerance)
939 if (BRep_Tool::SameParameter(AnEdge)) return;
941 const Standard_Integer NCONTROL = 22;
943 static Handle(GeomAdaptor_HCurve) HC;
944 static Handle(Geom2dAdaptor_HCurve) HC2d;
945 static Handle(GeomAdaptor_HSurface) HS;
947 HC = new GeomAdaptor_HCurve();
948 HC2d = new Geom2dAdaptor_HCurve();
949 HS = new GeomAdaptor_HSurface();
951 GeomAdaptor_Curve& GAC = HC->ChangeCurve();
952 Geom2dAdaptor_Curve& GAC2d = HC2d->ChangeCurve2d();
953 GeomAdaptor_Surface& GAS = HS->ChangeSurface();
955 Standard_Real f3d =0.,l3d =0.;
957 Standard_Real f3d,l3d;
960 Handle(Geom_Curve) C3d;
962 const Handle(BRep_TEdge)& TE = *((Handle(BRep_TEdge)*) &AnEdge.TShape());
963 BRep_ListOfCurveRepresentation& CList = TE->ChangeCurves();
964 BRep_ListIteratorOfListOfCurveRepresentation It(CList);
966 Standard_Boolean NotDone = Standard_True;
968 while (NotDone && It.More()) {
969 Handle(BRep_GCurve) GCurve = Handle(BRep_GCurve)::DownCast(It.Value());
970 if (!GCurve.IsNull() && GCurve->IsCurve3D()) {
971 C3d = GCurve->Curve3D() ;
972 f3d = GCurve->First();
973 l3d = GCurve->Last();
974 L3d = GCurve->Location() ;
975 NotDone = Standard_False;
980 if(C3d.IsNull()) return;
982 // modified by NIZHNY-OCC486 Tue Aug 27 17:15:13 2002 :
983 Standard_Boolean m_TrimmedPeriodical = Standard_False;
984 Handle(Standard_Type) TheType = C3d->DynamicType();
985 if( TheType == STANDARD_TYPE(Geom_TrimmedCurve))
987 const Handle(Geom_Curve)& gtC = (*((Handle(Geom_TrimmedCurve)*)&C3d))->BasisCurve();
988 m_TrimmedPeriodical = gtC->IsPeriodic();
990 // modified by NIZHNY-OCC486 Tue Aug 27 17:15:17 2002 .
993 if(!C3d->IsPeriodic()) {
994 Standard_Real Udeb = C3d->FirstParameter();
995 Standard_Real Ufin = C3d->LastParameter();
996 // modified by NIZHNY-OCC486 Tue Aug 27 17:17:14 2002 :
997 //if (Udeb > f3d) f3d = Udeb;
998 //if (l3d > Ufin) l3d = Ufin;
999 if(!m_TrimmedPeriodical)
1001 if (Udeb > f3d) f3d = Udeb;
1002 if (l3d > Ufin) l3d = Ufin;
1004 // modified by NIZHNY-OCC486 Tue Aug 27 17:17:55 2002 .
1006 if(!L3d.IsIdentity()){
1007 C3d = Handle(Geom_Curve)::DownCast(C3d->Transformed(L3d.Transformation()));
1009 GAC.Load(C3d,f3d,l3d);
1011 Standard_Boolean IsSameP = 1;
1012 Standard_Real maxdist = 0.;
1014 // Modified by skv - Thu Jun 3 12:39:19 2004 OCC5898 Begin
1015 Standard_Real anEdgeTol = BRep_Tool::Tolerance(AnEdge);
1016 // Modified by skv - Thu Jun 3 12:39:20 2004 OCC5898 End
1017 Standard_Boolean SameRange = BRep_Tool::SameRange(AnEdge);
1018 Standard_Boolean YaPCu = Standard_False;
1019 It.Initialize(CList);
1022 Standard_Boolean isANA = Standard_False;
1023 Standard_Boolean isBSP = Standard_False;
1024 Handle(BRep_GCurve) GCurve = Handle(BRep_GCurve)::DownCast(It.Value());
1025 Handle(Geom2d_Curve) PC[2];
1026 Handle(Geom_Surface) S;
1027 if (!GCurve.IsNull() && GCurve->IsCurveOnSurface()) {
1028 YaPCu = Standard_True;
1029 PC[0] = GCurve->PCurve();
1030 TopLoc_Location PCLoc = GCurve->Location();
1031 S = GCurve->Surface();
1032 if (!PCLoc.IsIdentity() ) {
1033 S = Handle(Geom_Surface)::DownCast(S->Transformed(PCLoc.Transformation()));
1036 if (GCurve->IsCurveOnClosedSurface()) {
1037 PC[1] = GCurve->PCurve2();
1040 // Eval tol2d to compute SameRange
1041 Standard_Real UResol = GAS.UResolution(Tolerance);
1042 Standard_Real VResol = GAS.VResolution(Tolerance);
1043 Standard_Real Tol2d = Min(UResol, VResol);
1044 for(Standard_Integer i = 0; i < 2; i++){
1045 Handle(Geom2d_Curve) curPC = PC[i];
1046 Standard_Boolean updatepc = 0;
1047 if(curPC.IsNull()) break;
1049 GeomLib::SameRange(Tol2d,
1050 PC[i],GCurve->First(),GCurve->Last(),
1053 updatepc = (curPC != PC[i]);
1056 Standard_Boolean goodpc = 1;
1057 GAC2d.Load(curPC,f3d,l3d);
1059 Standard_Real error = ComputeTol(HC, HC2d, HS, NCONTROL);
1061 if(GAC2d.GetType() == GeomAbs_BSplineCurve &&
1062 GAC2d.Continuity() == GeomAbs_C0) {
1063 Handle(Geom2d_BSplineCurve) bs2d = GAC2d.BSpline();
1064 Handle(Geom2d_BSplineCurve) bs2dsov = bs2d;
1065 Standard_Real fC0 = bs2d->FirstParameter(), lC0 = bs2d->LastParameter();
1066 Standard_Boolean repar = Standard_True;
1067 gp_Pnt2d OriginPoint;
1068 bs2d->D0(fC0, OriginPoint);
1069 Geom2dConvert::C0BSplineToC1BSplineCurve(bs2d, Tol2d);
1070 isBSP = Standard_True;
1072 if(bs2d->IsPeriodic()) { // -------- IFV, Jan 2000
1073 gp_Pnt2d NewOriginPoint;
1074 bs2d->D0(bs2d->FirstParameter(), NewOriginPoint);
1075 if(Abs(OriginPoint.X() - NewOriginPoint.X()) > Precision::PConfusion() ||
1076 Abs(OriginPoint.Y() - NewOriginPoint.Y()) > Precision::PConfusion() ) {
1078 TColStd_Array1OfReal Knotbs2d (1, bs2d->NbKnots());
1079 bs2d->Knots(Knotbs2d);
1081 for(Standard_Integer Index = 1; Index <= bs2d->NbKnots(); Index++) {
1082 bs2d->D0(Knotbs2d(Index), NewOriginPoint);
1083 if(Abs(OriginPoint.X() - NewOriginPoint.X()) > Precision::PConfusion() ||
1084 Abs(OriginPoint.Y() - NewOriginPoint.Y()) > Precision::PConfusion() ) continue;
1086 bs2d->SetOrigin(Index);
1092 if(bs2d->Continuity() == GeomAbs_C0) {
1093 Standard_Real tolbail;
1094 if(EvalTol(curPC,S,GAC,Tolerance,tolbail)){
1096 Standard_Real UResbail = GAS.UResolution(tolbail);
1097 Standard_Real VResbail = GAS.VResolution(tolbail);
1098 Standard_Real Tol2dbail = Min(UResbail,VResbail);
1099 bs2d->D0(bs2d->FirstParameter(), OriginPoint);
1101 Standard_Integer nbp = bs2d->NbPoles();
1102 TColgp_Array1OfPnt2d poles(1,nbp);
1104 gp_Pnt2d p = poles(1), p1;
1105 Standard_Real d = Precision::Infinite();
1106 for(Standard_Integer ip = 2; ip <= nbp; ip++) {
1108 d = Min(d,p.SquareDistance(p1));
1113 Tol2dbail = Max(Min(Tol2dbail,d),Tol2d);
1115 Geom2dConvert::C0BSplineToC1BSplineCurve(bs2d,Tol2dbail);
1117 if(bs2d->IsPeriodic()) { // -------- IFV, Jan 2000
1118 gp_Pnt2d NewOriginPoint;
1119 bs2d->D0(bs2d->FirstParameter(), NewOriginPoint);
1120 if(Abs(OriginPoint.X() - NewOriginPoint.X()) > Precision::PConfusion() ||
1121 Abs(OriginPoint.Y() - NewOriginPoint.Y()) > Precision::PConfusion() ) {
1123 TColStd_Array1OfReal Knotbs2d (1, bs2d->NbKnots());
1124 bs2d->Knots(Knotbs2d);
1126 for(Standard_Integer Index = 1; Index <= bs2d->NbKnots(); Index++) {
1127 bs2d->D0(Knotbs2d(Index), NewOriginPoint);
1128 if(Abs(OriginPoint.X() - NewOriginPoint.X()) > Precision::PConfusion() ||
1129 Abs(OriginPoint.Y() - NewOriginPoint.Y()) > Precision::PConfusion() ) continue;
1131 bs2d->SetOrigin(Index);
1138 if(bs2d->Continuity() == GeomAbs_C0) {
1141 repar = Standard_False;
1149 Standard_Integer NbKnots = bs2d->NbKnots();
1150 TColStd_Array1OfReal Knots(1,NbKnots);
1152 // BSplCLib::Reparametrize(f3d,l3d,Knots);
1153 BSplCLib::Reparametrize(fC0,lC0,Knots);
1154 bs2d->SetKnots(Knots);
1155 GAC2d.Load(bs2d,f3d,l3d);
1157 Standard_Boolean updatepcsov = updatepc;
1158 updatepc = Standard_True;
1160 Standard_Real error1 = ComputeTol(HC, HC2d, HS, NCONTROL);
1161 if(error1 > error) {
1163 GAC2d.Load(bs2d,f3d,l3d);
1165 updatepc = updatepcsov;
1166 isANA = Standard_True;
1173 //check, if new BSpline "good" or not --------- IFV, Jan of 2000
1174 GeomAbs_Shape cont = bs2d->Continuity();
1175 Standard_Boolean IsBad = Standard_False;
1177 if(cont > GeomAbs_C0 && error > Max(1.e-3,Tolerance)) {
1178 Standard_Integer NbKnots = bs2d->NbKnots();
1179 TColStd_Array1OfReal Knots(1,NbKnots);
1181 Standard_Real critratio = 10.;
1182 Standard_Real dtprev = Knots(2) - Knots(1), dtratio = 1.;
1183 Standard_Real dtmin = dtprev;
1184 Standard_Real dtcur;
1185 for(Standard_Integer j = 2; j < NbKnots; j++) {
1186 dtcur = Knots(j+1) - Knots(j);
1187 dtmin = Min(dtmin, dtcur);
1191 if(dtcur > dtprev) dtratio = dtcur/dtprev;
1192 else dtratio = dtprev/dtcur;
1193 if(dtratio > critratio) {IsBad = Standard_True;}
1198 // To avoid failures in Approx_CurvilinearParameter
1199 bs2d->Resolution(Max(1.e-3,Tolerance), dtcur);
1200 if(dtmin < dtcur) IsBad = Standard_False;
1205 if(IsBad ) { //if BSpline "bad", try to reparametrize it
1206 // by its curve length
1208 // GeomAbs_Shape cont = bs2d->Continuity();
1209 if(cont > GeomAbs_C2) cont = GeomAbs_C2;
1210 Standard_Integer maxdeg = bs2d->Degree();
1211 if(maxdeg == 1) maxdeg = 14;
1212 Approx_CurvilinearParameter AppCurPar(HC2d, HS, Max(1.e-3,Tolerance),
1214 if(AppCurPar.IsDone() || AppCurPar.HasResult()) {
1215 bs2d = AppCurPar.Curve2d1();
1216 GAC2d.Load(bs2d,f3d,l3d);
1219 if(Abs(bs2d->FirstParameter() - fC0) > Tol2d ||
1220 Abs(bs2d->LastParameter() - lC0) > Tol2d ) {
1221 Standard_Integer NbKnots = bs2d->NbKnots();
1222 TColStd_Array1OfReal Knots(1,NbKnots);
1224 // BSplCLib::Reparametrize(f3d,l3d,Knots);
1225 BSplCLib::Reparametrize(fC0,lC0,Knots);
1226 bs2d->SetKnots(Knots);
1227 GAC2d.Load(bs2d,f3d,l3d);
1240 // Approx_SameParameter SameP(HC,HC2d,HS,Tolerance);
1241 Standard_Real aTol = (isANA && isBSP) ? 1.e-7 : Tolerance;
1242 Approx_SameParameter SameP(HC,HC2d,HS,aTol);
1244 if (SameP.IsSameParameter()) {
1245 maxdist = Max(maxdist,SameP.TolReached());
1247 if (i == 0) GCurve->PCurve(curPC);
1248 else GCurve->PCurve2(curPC);
1251 else if (SameP.IsDone()) {
1252 Standard_Real tolreached = SameP.TolReached();
1253 if(tolreached < error) {
1254 curPC = SameP.Curve2d();
1255 updatepc = Standard_True;
1256 maxdist = Max(maxdist,tolreached);
1259 maxdist = Max(maxdist, error);
1262 if (i == 0) GCurve->PCurve(curPC);
1263 else GCurve->PCurve2(curPC);
1271 // Modified by skv - Thu Jun 3 12:39:19 2004 OCC5898 Begin
1273 if (anEdgeTol > error) {
1274 maxdist = Max(maxdist, anEdgeTol);
1275 IsSameP = Standard_True;
1278 // Modified by skv - Thu Jun 3 12:39:20 2004 OCC5898 End
1283 B.Range(AnEdge,f3d,l3d);
1284 B.SameRange(AnEdge,Standard_True);
1286 // Reduce eventually the tolerance of the edge, as
1287 // all its representations are processed (except for some associated
1288 // to planes and not stored in the edge !)
1289 // The same cannot be done with vertices that cannot be enlarged
1292 // Avoid setting too small tolerances.
1293 maxdist = Max(maxdist,Precision::Confusion());
1294 TopoDS_Vertex V1,V2;
1295 TopExp::Vertices(AnEdge,V1,V2);
1297 B.UpdateVertex(V1,maxdist);
1299 B.UpdateVertex(V2,maxdist);
1300 TE->Modified(Standard_True);
1301 TE->Tolerance(maxdist);
1303 B.SameParameter(AnEdge,Standard_True);
1307 //=======================================================================
1308 //function : UpdateTolerances
1310 //=======================================================================
1311 void BRepLib::UpdateTolerances(const TopoDS_Shape& aShape,
1312 const Standard_Boolean verifyTolerance)
1315 // Harmonize tolerances
1316 // with rule Tolerance(VERTEX)>=Tolerance(EDGE)>=Tolerance(FACE)
1318 Standard_Real tol=0;
1319 if (verifyTolerance) {
1320 // Set tolerance to its minimum value
1321 Handle(Geom_Surface) S;
1325 Standard_Real aXmin, aYmin, aZmin, aXmax, aYmax, aZmax, dMax;
1326 for (ex.Init(aShape, TopAbs_FACE); ex.More(); ex.Next()) {
1327 const TopoDS_Face& curf=TopoDS::Face(ex.Current());
1328 S = BRep_Tool::Surface(curf, l);
1331 BRepBndLib::Add(curf,aB);
1332 if (S->DynamicType() == STANDARD_TYPE(Geom_RectangularTrimmedSurface)) {
1333 S = (*((Handle(Geom_RectangularTrimmedSurface)*)&S))->BasisSurface();
1335 GeomAdaptor_Surface AS(S);
1336 switch (AS.GetType()) {
1338 case GeomAbs_Cylinder:
1341 tol=Precision::Confusion();
1344 case GeomAbs_Sphere:
1347 tol=Precision::Confusion()*2;
1351 tol=Precision::Confusion()*4;
1353 if (!aB.IsWhole()) {
1354 aB.Get(aXmin, aYmin, aZmin, aXmax, aYmax, aZmax);
1356 if (!aB.IsOpenXmin() && !aB.IsOpenXmax()) dMax=aXmax-aXmin;
1357 if (!aB.IsOpenYmin() && !aB.IsOpenYmax()) aYmin=aYmax-aYmin;
1358 if (!aB.IsOpenZmin() && !aB.IsOpenZmax()) aZmin=aZmax-aZmin;
1359 if (aYmin>dMax) dMax=aYmin;
1360 if (aZmin>dMax) dMax=aZmin;
1362 // Do not process tolerances > 1.
1363 if (tol>1.) tol=0.99;
1365 const Handle(BRep_TFace)& Tf = *((Handle(BRep_TFace)*)&curf.TShape());
1372 TopTools_IndexedDataMapOfShapeListOfShape parents;
1373 TopExp::MapShapesAndAncestors(aShape, TopAbs_EDGE, TopAbs_FACE, parents);
1374 TopTools_ListIteratorOfListOfShape lConx;
1375 Standard_Integer iCur;
1376 for (iCur=1; iCur<=parents.Extent(); iCur++) {
1378 for (lConx.Initialize(parents(iCur)); lConx.More(); lConx.Next()) {
1379 tol=Max(tol, BRep_Tool::Tolerance(TopoDS::Face(lConx.Value())));
1381 // Update can only increase tolerance, so if the edge has a greater
1382 // tolerance than its faces it is not concerned
1383 B.UpdateEdge(TopoDS::Edge(parents.FindKey(iCur)), tol);
1386 //Vertices are processed
1388 TopExp::MapShapesAndAncestors(aShape, TopAbs_VERTEX, TopAbs_EDGE, parents);
1389 TColStd_MapOfTransient Initialized;
1390 TopTools_MapOfShape Done;
1391 Standard_Integer nbV = parents.Extent();
1392 for (iCur=1; iCur<=nbV; iCur++) {
1395 const TopoDS_Vertex& V = TopoDS::Vertex(parents.FindKey(iCur));
1397 box.Add(BRep_Tool::Pnt(V));
1399 for (lConx.Initialize(parents(iCur)); lConx.More(); lConx.Next()) {
1400 const TopoDS_Edge& E = TopoDS::Edge(lConx.Value());
1401 if(!Done.Add(E)) continue;
1402 tol=Max(tol, BRep_Tool::Tolerance(E));
1403 if(!BRep_Tool::SameRange(E)) continue;
1404 Standard_Real par = BRep_Tool::Parameter(V,E);
1405 Handle(BRep_TEdge)& TE = *((Handle(BRep_TEdge)*)&E.TShape());
1406 BRep_ListIteratorOfListOfCurveRepresentation itcr(TE->Curves());
1407 const TopLoc_Location& Eloc = E.Location();
1408 while (itcr.More()) {
1409 // For each CurveRepresentation, check the provided parameter
1410 const Handle(BRep_CurveRepresentation)& cr = itcr.Value();
1411 const TopLoc_Location& loc = cr->Location();
1412 TopLoc_Location L = (Eloc * loc);
1413 if (cr->IsCurve3D()) {
1414 const Handle(Geom_Curve)& C = cr->Curve3D();
1415 if (!C.IsNull()) { // edge non degenerated
1416 p3d = C->Value(par);
1417 p3d.Transform(L.Transformation());
1421 else if (cr->IsCurveOnSurface()) {
1422 const Handle(Geom_Surface)& Su = cr->Surface();
1423 const Handle(Geom2d_Curve)& PC = cr->PCurve();
1424 Handle(Geom2d_Curve) PC2;
1425 if (cr->IsCurveOnClosedSurface()) {
1426 PC2 = cr->PCurve2();
1428 gp_Pnt2d p2d = PC->Value(par);
1429 p3d = Su->Value(p2d.X(),p2d.Y());
1430 p3d.Transform(L.Transformation());
1432 if (!PC2.IsNull()) {
1433 p2d = PC2->Value(par);
1434 p3d = Su->Value(p2d.X(),p2d.Y());
1435 p3d.Transform(L.Transformation());
1442 Standard_Real aXmin, aYmin, aZmin, aXmax, aYmax, aZmax;
1443 box.Get(aXmin, aYmin, aZmin, aXmax, aYmax, aZmax);
1444 aXmax -= aXmin; aYmax -= aYmin; aZmax -= aZmin;
1445 tol = Max(tol,sqrt(aXmax*aXmax+aYmax*aYmax+aZmax*aZmax));
1446 tol += 2.*Epsilon(tol);
1447 if (verifyTolerance) {
1448 // ASet minimum value of the tolerance
1449 // Attention to sharing of the vertex by other shapes
1450 const Handle(BRep_TVertex)& TV = *((Handle(BRep_TVertex)*)&V.TShape());
1451 if (Initialized.Add(TV))
1454 B.UpdateVertex(V, tol);
1457 // Update can only increase tolerance, so if the edge has a greater
1458 // tolerance than its faces it is not concerned
1459 B.UpdateVertex(V, tol);
1464 //=======================================================================
1465 //function : OrientClosedSolid
1467 //=======================================================================
1468 Standard_Boolean BRepLib::OrientClosedSolid(TopoDS_Solid& solid)
1470 // Set material inside the solid
1471 BRepClass3d_SolidClassifier where(solid);
1472 where.PerformInfinitePoint(Precision::Confusion());
1473 if (where.State()==TopAbs_IN) {
1476 else if (where.State()==TopAbs_ON || where.State()==TopAbs_UNKNOWN)
1477 return Standard_False;
1479 return Standard_True;
1482 //=======================================================================
1483 //function : tgtfaces
1484 //purpose : check the angle at the border between two squares.
1485 // Two shares should have a shared front edge.
1486 //=======================================================================
1488 static Standard_Boolean tgtfaces(const TopoDS_Edge& Ed,
1489 const TopoDS_Face& F1,
1490 const TopoDS_Face& F2,
1491 const Standard_Real ta,
1492 const Standard_Boolean couture)
1496 BRepAdaptor_Surface aBAS1(F1,Standard_False);
1497 BRepAdaptor_Surface aBAS2(F2,Standard_False);
1498 Handle(BRepAdaptor_HSurface) HS1 = new BRepAdaptor_HSurface(aBAS1);
1499 Handle(BRepAdaptor_HSurface) HS2;
1500 if(couture) HS2 = HS1;
1501 else HS2 = new BRepAdaptor_HSurface(aBAS2);
1503 E.Orientation(TopAbs_FORWARD);
1504 Handle(BRepAdaptor_HCurve2d) HC2d1 = new BRepAdaptor_HCurve2d();
1505 HC2d1->ChangeCurve2d().Initialize(E,F1);
1506 if(couture) E.Orientation(TopAbs_REVERSED);
1507 Handle(BRepAdaptor_HCurve2d) HC2d2 = new BRepAdaptor_HCurve2d();
1508 HC2d2->ChangeCurve2d().Initialize(E,F2);
1509 Adaptor3d_CurveOnSurface C1(HC2d1,HS1);
1510 Adaptor3d_CurveOnSurface C2(HC2d2,HS2);
1512 Standard_Boolean rev1 = (F1.Orientation() == TopAbs_REVERSED);
1513 Standard_Boolean rev2 = (F2.Orientation() == TopAbs_REVERSED);
1514 Standard_Real f,l,eps, angmax = -PI;
1516 Standard_Real ang =0.;
1520 BRep_Tool::Range(E,f,l);
1521 Extrema_LocateExtPC ext;
1522 Standard_Boolean IsInitialized = Standard_False;
1525 f += eps; // to avoid calculations on
1526 l -= eps; // points of pointed squares.
1528 gp_Pnt pp1,pp2;//,PP;
1531 Standard_Real uu, vv, norm;
1534 Standard_Boolean Nok;
1535 for(i = 0; (i<= 20) && (angmax<=ta) ; i++){
1536 // First suppose that this is sameParameter
1537 Nok = Standard_True;
1540 HS1->D1(p.X(),p.Y(),pp1,du,dv);
1541 d1 = (du.Crossed(dv));
1542 norm = d1.Magnitude();
1543 if (norm > 1.e-12) d1 /= norm;
1544 else Nok=Standard_False;
1545 if(rev1) d1.Reverse();
1548 HS2->D1(p.X(), p.Y(), pp2, du, dv);
1549 d2 = (du.Crossed(dv));
1550 norm = d2.Magnitude();
1551 if (norm> 1.e-12) d2 /= norm;
1552 else Nok=Standard_False;
1553 if(rev2) d2.Reverse();
1554 if (Nok) ang = d1.Angle(d2);
1556 if (Nok &&(ang > ta)) { // Refine by projection
1557 if (! IsInitialized ) {
1558 ext.Initialize(C2,f,l,Precision::PConfusion());
1559 IsInitialized = Standard_True;
1562 if(ext.IsDone() && ext.IsMin()){
1563 Extrema_POnCurv poc = ext.Point();
1564 Standard_Real v = poc.Parameter();
1568 HS2->D1(p.X(), p.Y(), pp2, du, dv);
1569 d2 = (du.Crossed(dv));
1570 norm = d2.Magnitude();
1571 if (norm> 1.e-12) d2 /= norm;
1572 else Nok = Standard_False;
1573 if(rev2) d2.Reverse();
1574 if (Nok) ang = d1.Angle(d2);
1577 if(ang >= angmax) angmax = ang;
1580 return (angmax<=ta);
1585 //=======================================================================
1586 // function : EncodeRegularity
1587 // purpose : code the regularities on all edges of the shape, boundary of
1588 // two faces that do not have it.
1589 //=======================================================================
1591 void BRepLib::EncodeRegularity(const TopoDS_Shape& S,
1592 const Standard_Real TolAng)
1595 TopTools_IndexedDataMapOfShapeListOfShape M;
1596 TopExp::MapShapesAndAncestors(S,TopAbs_EDGE,TopAbs_FACE,M);
1597 TopTools_ListIteratorOfListOfShape It;
1600 Standard_Boolean found, couture;
1601 for(Standard_Integer i = 1; i <= M.Extent(); i++){
1602 TopoDS_Edge E = TopoDS::Edge(M.FindKey(i));
1603 found = Standard_False; couture = Standard_False;
1605 for(It.Initialize(M.FindFromIndex(i));It.More() && !found;It.Next()){
1606 if(F1.IsNull()) { F1 = TopoDS::Face(It.Value()); }
1608 if(!F1.IsSame(TopoDS::Face(It.Value()))){
1609 found = Standard_True;
1610 F2 = TopoDS::Face(It.Value());
1614 if (!found && !F1.IsNull()){//is it a sewing edge?
1615 TopAbs_Orientation orE = E.Orientation();
1617 for(Ex.Init(F1,TopAbs_EDGE);Ex.More() && !found;Ex.Next()){
1618 curE= TopoDS::Edge(Ex.Current());
1619 if(E.IsSame(curE) && orE != curE.Orientation()) {
1620 found = Standard_True;
1621 couture = Standard_True;
1627 if(BRep_Tool::Continuity(E,F1,F2)<=GeomAbs_C0){
1628 if(tgtfaces(E, F1, F2, TolAng, couture)){
1629 B.Continuity(E,F1,F2,GeomAbs_G1);
1636 //=======================================================================
1637 // function : EncodeRegularity
1638 // purpose : code the regularity between 2 faces on an edge
1639 //=======================================================================
1641 void BRepLib::EncodeRegularity(TopoDS_Edge& E,
1642 const TopoDS_Face& F1,
1643 const TopoDS_Face& F2,
1644 const Standard_Real TolAng)
1647 if(BRep_Tool::Continuity(E,F1,F2)<=GeomAbs_C0){
1648 if( tgtfaces(E, F1, F2, TolAng, F1.IsEqual(F2))) {
1649 B.Continuity(E,F1,F2,GeomAbs_G1);
1654 //=======================================================================
1655 //function : SortFaces
1657 //=======================================================================
1659 void BRepLib::SortFaces (const TopoDS_Shape& Sh,
1660 TopTools_ListOfShape& LF)
1663 TopTools_ListOfShape LTri,LPlan,LCyl,LCon,LSphere,LTor,LOther;
1664 TopExp_Explorer exp(Sh,TopAbs_FACE);
1666 Handle(Geom_Surface) S;
1668 for (; exp.More(); exp.Next()) {
1669 const TopoDS_Face& F = TopoDS::Face(exp.Current());
1670 S = BRep_Tool::Surface(F, l);
1672 if (S->DynamicType() == STANDARD_TYPE(Geom_RectangularTrimmedSurface)) {
1673 S = (*((Handle(Geom_RectangularTrimmedSurface)*)&S))->BasisSurface();
1675 GeomAdaptor_Surface AS(S);
1676 switch (AS.GetType()) {
1682 case GeomAbs_Cylinder:
1692 case GeomAbs_Sphere:
1706 else LTri.Append(F);
1708 LF.Append(LPlan); LF.Append(LCyl ); LF.Append(LCon); LF.Append(LSphere);
1709 LF.Append(LTor ); LF.Append(LOther); LF.Append(LTri);
1712 //=======================================================================
1713 //function : ReverseSortFaces
1715 //=======================================================================
1717 void BRepLib::ReverseSortFaces (const TopoDS_Shape& Sh,
1718 TopTools_ListOfShape& LF)
1721 TopTools_ListOfShape LTri,LPlan,LCyl,LCon,LSphere,LTor,LOther;
1722 TopExp_Explorer exp(Sh,TopAbs_FACE);
1724 Handle(Geom_Surface) S;
1726 for (; exp.More(); exp.Next()) {
1727 const TopoDS_Face& F = TopoDS::Face(exp.Current());
1728 S = BRep_Tool::Surface(F, l);
1730 if (S->DynamicType() == STANDARD_TYPE(Geom_RectangularTrimmedSurface)) {
1731 S = (*((Handle(Geom_RectangularTrimmedSurface)*)&S))->BasisSurface();
1733 GeomAdaptor_Surface AS(S);
1734 switch (AS.GetType()) {
1740 case GeomAbs_Cylinder:
1750 case GeomAbs_Sphere:
1764 else LTri.Append(F);
1766 LF.Append(LTri); LF.Append(LOther); LF.Append(LTor ); LF.Append(LSphere);
1767 LF.Append(LCon); LF.Append(LCyl ); LF.Append(LPlan);