1 // Created on: 1993-12-15
2 // Created by: Remi LEQUETTE
3 // Copyright (c) 1993-1999 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 //pmn 26/09/97 Add parameters of approximation in BuildCurve3d
18 // Modified by skv - Thu Jun 3 12:39:19 2004 OCC5898
20 #include <BRepLib.ixx>
21 #include <BRepAdaptor_Surface.hxx>
22 #include <BRepAdaptor_HSurface.hxx>
23 #include <BRepAdaptor_HCurve2d.hxx>
24 #include <BRep_Tool.hxx>
25 #include <BRep_Builder.hxx>
26 #include <Geom_Surface.hxx>
27 #include <Geom_RectangularTrimmedSurface.hxx>
28 #include <Geom_Plane.hxx>
29 #include <Geom_Curve.hxx>
30 #include <Geom_BSplineCurve.hxx>
31 #include <Geom_TrimmedCurve.hxx>
32 #include <Geom2d_Curve.hxx>
33 #include <Geom2d_TrimmedCurve.hxx>
34 #include <Geom2d_BSplineCurve.hxx>
35 #include <GeomLib.hxx>
36 #include <TopExp_Explorer.hxx>
38 #include <TopoDS_Edge.hxx>
39 #include <TopoDS_Face.hxx>
40 #include <TopoDS_Vertex.hxx>
41 #include <TopTools_MapOfShape.hxx>
42 #include <TopTools_IndexedDataMapOfShapeListOfShape.hxx>
43 #include <TopTools_ListIteratorOfListOfShape.hxx>
48 #include <Standard_Real.hxx>
49 #include <Precision.hxx>
50 #include <BRep_GCurve.hxx>
51 #include <BRep_TEdge.hxx>
52 #include <BRep_TFace.hxx>
53 #include <AppParCurves_MultiCurve.hxx>
54 #include <AppParCurves_MultiBSpCurve.hxx>
55 #include <BRep_ListOfCurveRepresentation.hxx>
56 #include <BRep_CurveRepresentation.hxx>
57 #include <BRep_ListIteratorOfListOfCurveRepresentation.hxx>
58 #include <BRep_TVertex.hxx>
59 #include <AdvApprox_ApproxAFunction.hxx>
60 #include <Approx_SameParameter.hxx>
61 #include <TColgp_Array1OfPnt.hxx>
62 #include <TColgp_Array1OfPnt2d.hxx>
63 #include <TColStd_Array1OfReal.hxx>
64 #include <TColStd_MapOfTransient.hxx>
65 #include <GeomAdaptor_Curve.hxx>
66 #include <GeomAdaptor_HCurve.hxx>
67 #include <GeomAdaptor_Surface.hxx>
68 #include <GeomAdaptor_HSurface.hxx>
69 #include <Geom2dAdaptor_Curve.hxx>
70 #include <Geom2dAdaptor_HCurve.hxx>
71 #include <Geom2dAdaptor.hxx>
72 #include <Geom2dConvert.hxx>
73 #include <GCPnts_QuasiUniformDeflection.hxx>
74 #include <BSplCLib.hxx>
76 #include <Adaptor3d_CurveOnSurface.hxx>
77 #include <Extrema_LocateExtPC.hxx>
78 #include <ProjLib_ProjectedCurve.hxx>
79 #include <BRepClass3d_SolidClassifier.hxx>
80 #include <Bnd_Box.hxx>
81 #include <BRepBndLib.hxx>
82 #include <Approx_CurvilinearParameter.hxx>
83 #include <Geom_BSplineSurface.hxx>
86 // TODO - not thread-safe static variables
87 static Standard_Real thePrecision = Precision::Confusion();
88 static Handle(Geom_Plane) thePlane;
90 //=======================================================================
91 //function : Precision
93 //=======================================================================
95 void BRepLib::Precision(const Standard_Real P)
100 //=======================================================================
101 //function : Precision
103 //=======================================================================
105 Standard_Real BRepLib::Precision()
110 //=======================================================================
113 //=======================================================================
115 void BRepLib::Plane(const Handle(Geom_Plane)& P)
121 //=======================================================================
124 //=======================================================================
126 const Handle(Geom_Plane)& BRepLib::Plane()
128 if (thePlane.IsNull()) thePlane = new Geom_Plane(gp::XOY());
131 //=======================================================================
132 //function : CheckSameRange
134 //=======================================================================
136 Standard_Boolean BRepLib::CheckSameRange(const TopoDS_Edge& AnEdge,
137 const Standard_Real Tolerance)
139 Standard_Boolean IsSameRange = Standard_True,
140 first_time_in = Standard_True ;
142 BRep_ListIteratorOfListOfCurveRepresentation an_Iterator
143 ((*((Handle(BRep_TEdge)*)&AnEdge.TShape()))->ChangeCurves());
145 Standard_Real first, last;
146 Standard_Real current_first =0., current_last =0. ;
147 Handle(BRep_GCurve) geometric_representation_ptr ;
149 while (IsSameRange && an_Iterator.More()) {
150 geometric_representation_ptr =
151 Handle(BRep_GCurve)::DownCast(an_Iterator.Value());
152 if (!geometric_representation_ptr.IsNull()) {
154 first = geometric_representation_ptr->First();
155 last = geometric_representation_ptr->Last();
156 if (first_time_in ) {
157 current_first = first ;
158 current_last = last ;
159 first_time_in = Standard_False ;
162 IsSameRange = (Abs(current_first - first) <= Tolerance)
163 && (Abs(current_last -last) <= Tolerance ) ;
171 //=======================================================================
172 //function : SameRange
174 //=======================================================================
176 void BRepLib::SameRange(const TopoDS_Edge& AnEdge,
177 const Standard_Real Tolerance)
179 BRep_ListIteratorOfListOfCurveRepresentation an_Iterator
180 ((*((Handle(BRep_TEdge)*)&AnEdge.TShape()))->ChangeCurves());
182 Handle(Geom2d_Curve) Curve2dPtr, Curve2dPtr2, NewCurve2dPtr, NewCurve2dPtr2;
183 TopLoc_Location LocalLoc ;
185 Standard_Boolean first_time_in = Standard_True,
188 Handle(BRep_GCurve) geometric_representation_ptr ;
194 const Handle(Geom_Curve) C = BRep_Tool::Curve(AnEdge,
199 first_time_in = Standard_False ;
202 while (an_Iterator.More()) {
203 geometric_representation_ptr =
204 Handle(BRep_GCurve)::DownCast(an_Iterator.Value());
205 if (! geometric_representation_ptr.IsNull()) {
207 has_curve = Standard_False ;
208 first = geometric_representation_ptr->First();
209 last = geometric_representation_ptr->Last();
210 if (geometric_representation_ptr->IsCurveOnSurface()) {
211 Curve2dPtr = geometric_representation_ptr->PCurve() ;
212 has_curve = Standard_True ;
214 if (geometric_representation_ptr->IsCurveOnClosedSurface()) {
215 Curve2dPtr2 = geometric_representation_ptr->PCurve2() ;
216 has_closed_curve = Standard_True ;
218 if (has_curve || has_closed_curve) {
220 current_first = first ;
221 current_last = last ;
222 first_time_in = Standard_False ;
225 if (Abs(first - current_first) > Precision::Confusion() ||
226 Abs(last - current_last) > Precision::Confusion() )
230 GeomLib::SameRange(Tolerance,
232 geometric_representation_ptr->First(),
233 geometric_representation_ptr->Last(),
237 geometric_representation_ptr->PCurve(NewCurve2dPtr) ;
239 if (has_closed_curve)
241 GeomLib::SameRange(Tolerance,
243 geometric_representation_ptr->First(),
244 geometric_representation_ptr->Last(),
248 geometric_representation_ptr->PCurve2(NewCurve2dPtr2) ;
256 B.Range(TopoDS::Edge(AnEdge),
264 //=======================================================================
265 //function : EvaluateMaxSegment
266 //purpose : return MaxSegment to pass in approximation, if MaxSegment==0 provided
267 //=======================================================================
269 static Standard_Integer evaluateMaxSegment(const Standard_Integer aMaxSegment,
270 const Adaptor3d_CurveOnSurface& aCurveOnSurface)
272 if (aMaxSegment != 0) return aMaxSegment;
274 Handle(Adaptor3d_HSurface) aSurf = aCurveOnSurface.GetSurface();
275 Handle(Adaptor2d_HCurve2d) aCurv2d = aCurveOnSurface.GetCurve();
277 Standard_Real aNbSKnots = 0, aNbC2dKnots = 0;
279 if (aSurf->GetType() == GeomAbs_BSplineSurface) {
280 Handle(Geom_BSplineSurface) aBSpline = aSurf->BSpline();
281 aNbSKnots = Max(aBSpline->NbUKnots(), aBSpline->NbVKnots());
283 if (aCurv2d->GetType() == GeomAbs_BSplineCurve) {
284 aNbC2dKnots = aCurv2d->NbKnots();
286 Standard_Integer aReturn = (Standard_Integer) ( 30 + Max(aNbSKnots, aNbC2dKnots) ) ;
290 //=======================================================================
291 //function : BuildCurve3d
293 //=======================================================================
295 Standard_Boolean BRepLib::BuildCurve3d(const TopoDS_Edge& AnEdge,
296 const Standard_Real Tolerance,
297 const GeomAbs_Shape Continuity,
298 const Standard_Integer MaxDegree,
299 const Standard_Integer MaxSegment)
301 Standard_Integer //ErrorCode,
307 TopLoc_Location LocalLoc,L[2],LC;
308 Standard_Real f,l,fc,lc, first[2], last[2],
312 Handle(Geom2d_Curve) Curve2dPtr, Curve2dArray[2] ;
313 Handle(Geom_Surface) SurfacePtr, SurfaceArray[2] ;
315 Standard_Integer not_done ;
316 // if the edge has a 3d curve returns true
319 const Handle(Geom_Curve) C = BRep_Tool::Curve(AnEdge,LocalLoc,f,l);
321 return Standard_True;
323 // this should not exists but UpdateEdge makes funny things
324 // if the edge is not same range
326 if (! CheckSameRange(AnEdge,
327 Precision::Confusion())) {
334 // search a curve on a plane
335 Handle(Geom_Surface) S;
336 Handle(Geom2d_Curve) PC;
337 Standard_Integer i = 0;
338 Handle(Geom_Plane) P;
343 BRep_Tool::CurveOnSurface(AnEdge,PC,S,LocalLoc,f,l,i);
344 Handle(Geom_RectangularTrimmedSurface) RT =
345 Handle(Geom_RectangularTrimmedSurface)::DownCast(S);
347 P = Handle(Geom_Plane)::DownCast(S);
350 P = Handle(Geom_Plane)::DownCast(RT->BasisSurface());
352 not_done = ! (S.IsNull() || !P.IsNull()) ;
355 // compute the 3d curve
356 gp_Ax2 axes = P->Position().Ax2();
357 Handle(Geom_Curve) C3d = GeomLib::To3d(axes,PC);
359 return Standard_False;
361 Standard_Real First, Last;
364 B.UpdateEdge(AnEdge,C3d,LocalLoc,0.0e0);
365 BRep_Tool::Range(AnEdge, S, LC, First, Last);
366 B.Range(AnEdge, First, Last); //Do not forget 3D range.(PRO6412)
370 // compute the 3d curve using existing surface
374 if (!BRep_Tool::Degenerated(AnEdge)) {
376 for (ii = 0 ; ii < 3 ; ii++ ) {
377 BRep_Tool::CurveOnSurface(TopoDS::Edge(AnEdge),
385 if (!Curve2dPtr.IsNull() && jj < 2){
386 Curve2dArray[jj] = Curve2dPtr ;
387 SurfaceArray[jj] = SurfacePtr ;
396 Curve2dPtr = Curve2dArray[0] ;
397 SurfacePtr = SurfaceArray[0] ;
399 Geom2dAdaptor_Curve AnAdaptor3dCurve2d (Curve2dPtr, f, l) ;
400 GeomAdaptor_Surface AnAdaptor3dSurface (SurfacePtr) ;
401 Handle(Geom2dAdaptor_HCurve) AnAdaptor3dCurve2dPtr =
402 new Geom2dAdaptor_HCurve(AnAdaptor3dCurve2d) ;
403 Handle(GeomAdaptor_HSurface) AnAdaptor3dSurfacePtr =
404 new GeomAdaptor_HSurface (AnAdaptor3dSurface) ;
405 Adaptor3d_CurveOnSurface CurveOnSurface( AnAdaptor3dCurve2dPtr,
406 AnAdaptor3dSurfacePtr) ;
408 Handle(Geom_Curve) NewCurvePtr ;
410 GeomLib::BuildCurve3d(Tolerance,
419 evaluateMaxSegment(MaxSegment,CurveOnSurface)) ;
421 tolerance = BRep_Tool::Tolerance(AnEdge) ;
423 //max_deviation = Max(tolerance, max_deviation) ;
424 max_deviation = Max( tolerance, Tolerance );
425 if (NewCurvePtr.IsNull())
426 return Standard_False;
427 B.UpdateEdge(TopoDS::Edge(AnEdge),
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 Handle(GeomAdaptor_HCurve) HC = new GeomAdaptor_HCurve();
755 Handle(GeomAdaptor_HSurface) HS = new GeomAdaptor_HSurface();
758 Standard_Real First, Last;
759 GeomAdaptor_Curve& GAC = HC->ChangeCurve();
760 GAC.Load(BRep_Tool::Curve(E,LC,First,Last));
761 LC = L.Predivided(LC);
763 if (!LC.IsIdentity()) {
764 GP = Handle(Geom_Plane)::DownCast(
765 GP->Transformed(LC.Transformation()));
767 GeomAdaptor_Surface& GAS = HS->ChangeSurface();
770 ProjLib_ProjectedCurve Proj(HS,HC);
771 Handle(Geom2d_Curve) pc = Geom2dAdaptor::MakeCurve(Proj);
773 gp_Pln pln = GAS.Plane();
774 Standard_Real d2 = 0.;
775 Standard_Integer nn = 23;
776 Standard_Real unsurnn = 1./nn;
777 for(Standard_Integer i = 0; i <= nn; i++){
778 Standard_Real t = unsurnn*i;
779 Standard_Real u = First*(1.-t) + Last*t;
780 gp_Pnt Pc3d = HC->Value(u);
781 gp_Pnt2d p2d = pc->Value(u);
782 gp_Pnt Pcons = ElSLib::Value(p2d.X(),p2d.Y(),pln);
783 Standard_Real temp = Pc3d.SquareDistance(Pcons);
784 if(temp > d2) d2 = temp;
787 TE->UpdateTolerance(d2);
790 //=======================================================================
791 //function : SameParameter
793 //=======================================================================
794 void BRepLib::SameParameter(const TopoDS_Shape& S,
795 const Standard_Real Tolerance,
796 const Standard_Boolean forced)
798 TopExp_Explorer ex(S,TopAbs_EDGE);
799 TopTools_MapOfShape Done;
803 if (Done.Add(ex.Current())) {
805 brB.SameRange(TopoDS::Edge(ex.Current()), Standard_False);
806 brB.SameParameter(TopoDS::Edge(ex.Current()), Standard_False);
808 BRepLib::SameParameter(TopoDS::Edge(ex.Current()),Tolerance);
814 BRepAdaptor_Surface BS;
815 for(ex.Init(S,TopAbs_FACE); ex.More(); ex.Next()){
816 const TopoDS_Face& curface = TopoDS::Face(ex.Current());
817 if(!Done.Add(curface)) continue;
818 BS.Initialize(curface);
819 if(BS.GetType() != GeomAbs_Plane) continue;
821 for(ex2.Init(curface,TopAbs_EDGE); ex2.More(); ex2.Next()){
822 const TopoDS_Edge& E = TopoDS::Edge(ex2.Current());
823 SetEdgeTol(E,curface);
826 BRepLib::UpdateTolerances(S);
829 //================================================================
830 //function : SameParameter
831 //WARNING : New spec DUB LBO 9/9/97.
832 // Recode in the edge the best tolerance found,
833 // for vertex extremities it is required to find something else
834 //================================================================
835 static Standard_Boolean EvalTol(const Handle(Geom2d_Curve)& pc,
836 const Handle(Geom_Surface)& s,
837 const GeomAdaptor_Curve& gac,
838 const Standard_Real tol,
839 Standard_Real& tolbail)
841 Standard_Integer ok = 0;
842 Standard_Real f = gac.FirstParameter();
843 Standard_Real l = gac.LastParameter();
844 Extrema_LocateExtPC Projector;
845 Projector.Initialize(gac,f,l,tol);
849 for(Standard_Integer i = 1; i <= 5; i++){
850 Standard_Real t = i/6.;
851 t = (1.-t) * f + t * l;
852 pc->Value(t).Coord(u,v);
854 Projector.Perform(p,t);
855 if (Projector.IsDone()) {
856 Standard_Real dist2 = Projector.SquareDistance();
857 if(dist2 > tolbail * tolbail) tolbail = sqrt (dist2);
864 static Standard_Real ComputeTol(const Handle(Adaptor3d_HCurve)& c3d,
865 const Handle(Adaptor2d_HCurve2d)& c2d,
866 const Handle(Adaptor3d_HSurface)& surf,
867 const Standard_Integer nbp)
871 TColStd_Array1OfReal dist(1,nbp+10);
874 Adaptor3d_CurveOnSurface cons(c2d,surf);
875 Standard_Real d2 = 0.;
876 Standard_Real first = c3d->FirstParameter();
877 Standard_Real last = c3d->LastParameter();
878 Standard_Integer i = 0;
879 for(i = 0; i <= nbp; i++){
880 const Standard_Real t = IntToReal(i)/IntToReal(nbp);
881 const Standard_Real u = first*(1.-t) + last*t;
882 gp_Pnt Pc3d = c3d->Value(u);
883 gp_Pnt Pcons = cons.Value(u);
884 if (Precision::IsInfinite(Pcons.X()) ||
885 Precision::IsInfinite(Pcons.Y()) ||
886 Precision::IsInfinite(Pcons.Z())) {
887 d2=Precision::Infinite();
890 Standard_Real temp = Pc3d.SquareDistance(Pcons);
896 if(temp > d2) d2 = temp;
900 Standard_Boolean ana = Standard_False;
901 Standard_Real D2 = 0;
902 Standard_Integer N1 = 0;
903 Standard_Integer N2 = 0;
904 Standard_Integer N3 = 0;
906 for( i = 1; i<= nbp+10; i++)
908 if( dist(i) < 1.0 ) N1++;
912 if( N1 > N2 && N2 != 0 ) N3 = 100*N2/(N1+N2);
913 if( N3 < 10 && N3 != 0 ) {
915 for( i = 1; i<= nbp+10; i++)
916 if( dist(i) > 0 && dist(i) < 1.0 )
917 if( dist(i) > D2 ) D2 = dist(i);
921 d2 = (!ana) ? 1.5*sqrt(d2) : 1.5*sqrt(D2);
922 if(d2<1.e-7) d2 = 1.e-7;
927 void BRepLib::SameParameter(const TopoDS_Edge& AnEdge,
928 const Standard_Real Tolerance)
930 if (BRep_Tool::SameParameter(AnEdge)) return;
932 const Standard_Integer NCONTROL = 22;
934 Handle(GeomAdaptor_HCurve) HC = new GeomAdaptor_HCurve();
935 Handle(Geom2dAdaptor_HCurve) HC2d = new Geom2dAdaptor_HCurve();
936 Handle(GeomAdaptor_HSurface) HS = new GeomAdaptor_HSurface();
937 GeomAdaptor_Curve& GAC = HC->ChangeCurve();
938 Geom2dAdaptor_Curve& GAC2d = HC2d->ChangeCurve2d();
939 GeomAdaptor_Surface& GAS = HS->ChangeSurface();
940 Standard_Real f3d =0.,l3d =0.;
942 Handle(Geom_Curve) C3d;
944 const Handle(BRep_TEdge)& TE = *((Handle(BRep_TEdge)*) &AnEdge.TShape());
945 BRep_ListOfCurveRepresentation& CList = TE->ChangeCurves();
946 BRep_ListIteratorOfListOfCurveRepresentation It(CList);
948 Standard_Boolean NotDone = Standard_True;
950 while (NotDone && It.More()) {
951 Handle(BRep_GCurve) GCurve = Handle(BRep_GCurve)::DownCast(It.Value());
952 if (!GCurve.IsNull() && GCurve->IsCurve3D()) {
953 C3d = GCurve->Curve3D() ;
954 f3d = GCurve->First();
955 l3d = GCurve->Last();
956 L3d = GCurve->Location() ;
957 NotDone = Standard_False;
962 if(C3d.IsNull()) return;
964 // modified by NIZHNY-OCC486 Tue Aug 27 17:15:13 2002 :
965 Standard_Boolean m_TrimmedPeriodical = Standard_False;
966 Handle(Standard_Type) TheType = C3d->DynamicType();
967 if( TheType == STANDARD_TYPE(Geom_TrimmedCurve))
969 const Handle(Geom_Curve)& gtC = (*((Handle(Geom_TrimmedCurve)*)&C3d))->BasisCurve();
970 m_TrimmedPeriodical = gtC->IsPeriodic();
972 // modified by NIZHNY-OCC486 Tue Aug 27 17:15:17 2002 .
975 if(!C3d->IsPeriodic()) {
976 Standard_Real Udeb = C3d->FirstParameter();
977 Standard_Real Ufin = C3d->LastParameter();
978 // modified by NIZHNY-OCC486 Tue Aug 27 17:17:14 2002 :
979 //if (Udeb > f3d) f3d = Udeb;
980 //if (l3d > Ufin) l3d = Ufin;
981 if(!m_TrimmedPeriodical)
983 if (Udeb > f3d) f3d = Udeb;
984 if (l3d > Ufin) l3d = Ufin;
986 // modified by NIZHNY-OCC486 Tue Aug 27 17:17:55 2002 .
988 if(!L3d.IsIdentity()){
989 C3d = Handle(Geom_Curve)::DownCast(C3d->Transformed(L3d.Transformation()));
991 GAC.Load(C3d,f3d,l3d);
993 Standard_Boolean IsSameP = 1;
994 Standard_Real maxdist = 0.;
996 // Modified by skv - Thu Jun 3 12:39:19 2004 OCC5898 Begin
997 Standard_Real anEdgeTol = BRep_Tool::Tolerance(AnEdge);
998 // Modified by skv - Thu Jun 3 12:39:20 2004 OCC5898 End
999 Standard_Boolean SameRange = BRep_Tool::SameRange(AnEdge);
1000 Standard_Boolean YaPCu = Standard_False;
1001 It.Initialize(CList);
1004 Standard_Boolean isANA = Standard_False;
1005 Standard_Boolean isBSP = Standard_False;
1006 Handle(BRep_GCurve) GCurve = Handle(BRep_GCurve)::DownCast(It.Value());
1007 Handle(Geom2d_Curve) PC[2];
1008 Handle(Geom_Surface) S;
1009 if (!GCurve.IsNull() && GCurve->IsCurveOnSurface()) {
1010 YaPCu = Standard_True;
1011 PC[0] = GCurve->PCurve();
1012 TopLoc_Location PCLoc = GCurve->Location();
1013 S = GCurve->Surface();
1014 if (!PCLoc.IsIdentity() ) {
1015 S = Handle(Geom_Surface)::DownCast(S->Transformed(PCLoc.Transformation()));
1019 if (GCurve->IsCurveOnClosedSurface()) {
1020 PC[1] = GCurve->PCurve2();
1023 // Eval tol2d to compute SameRange
1024 Standard_Real UResol = Max(GAS.UResolution(Tolerance), Precision::PConfusion());
1025 Standard_Real VResol = Max(GAS.VResolution(Tolerance), Precision::PConfusion());
1026 Standard_Real Tol2d = Min(UResol, VResol);
1027 for(Standard_Integer i = 0; i < 2; i++){
1028 Handle(Geom2d_Curve) curPC = PC[i];
1029 Standard_Boolean updatepc = 0;
1030 if(curPC.IsNull()) break;
1032 GeomLib::SameRange(Tol2d,
1033 PC[i],GCurve->First(),GCurve->Last(),
1036 updatepc = (curPC != PC[i]);
1039 Standard_Boolean goodpc = 1;
1040 GAC2d.Load(curPC,f3d,l3d);
1042 Standard_Real error = ComputeTol(HC, HC2d, HS, NCONTROL);
1044 if(GAC2d.GetType() == GeomAbs_BSplineCurve &&
1045 GAC2d.Continuity() == GeomAbs_C0) {
1046 Handle(Geom2d_BSplineCurve) bs2d = GAC2d.BSpline();
1047 Handle(Geom2d_BSplineCurve) bs2dsov = bs2d;
1048 Standard_Real fC0 = bs2d->FirstParameter(), lC0 = bs2d->LastParameter();
1049 Standard_Boolean repar = Standard_True;
1050 gp_Pnt2d OriginPoint;
1051 bs2d->D0(fC0, OriginPoint);
1052 Geom2dConvert::C0BSplineToC1BSplineCurve(bs2d, Tol2d);
1053 isBSP = Standard_True;
1055 if(bs2d->IsPeriodic()) { // -------- IFV, Jan 2000
1056 gp_Pnt2d NewOriginPoint;
1057 bs2d->D0(bs2d->FirstParameter(), NewOriginPoint);
1058 if(Abs(OriginPoint.X() - NewOriginPoint.X()) > Precision::PConfusion() ||
1059 Abs(OriginPoint.Y() - NewOriginPoint.Y()) > Precision::PConfusion() ) {
1061 TColStd_Array1OfReal Knotbs2d (1, bs2d->NbKnots());
1062 bs2d->Knots(Knotbs2d);
1064 for(Standard_Integer Index = 1; Index <= bs2d->NbKnots(); Index++) {
1065 bs2d->D0(Knotbs2d(Index), NewOriginPoint);
1066 if(Abs(OriginPoint.X() - NewOriginPoint.X()) > Precision::PConfusion() ||
1067 Abs(OriginPoint.Y() - NewOriginPoint.Y()) > Precision::PConfusion() ) continue;
1069 bs2d->SetOrigin(Index);
1075 if(bs2d->Continuity() == GeomAbs_C0) {
1076 Standard_Real tolbail;
1077 if(EvalTol(curPC,S,GAC,Tolerance,tolbail)){
1079 Standard_Real UResbail = GAS.UResolution(tolbail);
1080 Standard_Real VResbail = GAS.VResolution(tolbail);
1081 Standard_Real Tol2dbail = Min(UResbail,VResbail);
1082 bs2d->D0(bs2d->FirstParameter(), OriginPoint);
1084 Standard_Integer nbp = bs2d->NbPoles();
1085 TColgp_Array1OfPnt2d poles(1,nbp);
1087 gp_Pnt2d p = poles(1), p1;
1088 Standard_Real d = Precision::Infinite();
1089 for(Standard_Integer ip = 2; ip <= nbp; ip++) {
1091 d = Min(d,p.SquareDistance(p1));
1096 Tol2dbail = Max(Min(Tol2dbail,d),Tol2d);
1098 Geom2dConvert::C0BSplineToC1BSplineCurve(bs2d,Tol2dbail);
1100 if(bs2d->IsPeriodic()) { // -------- IFV, Jan 2000
1101 gp_Pnt2d NewOriginPoint;
1102 bs2d->D0(bs2d->FirstParameter(), NewOriginPoint);
1103 if(Abs(OriginPoint.X() - NewOriginPoint.X()) > Precision::PConfusion() ||
1104 Abs(OriginPoint.Y() - NewOriginPoint.Y()) > Precision::PConfusion() ) {
1106 TColStd_Array1OfReal Knotbs2d (1, bs2d->NbKnots());
1107 bs2d->Knots(Knotbs2d);
1109 for(Standard_Integer Index = 1; Index <= bs2d->NbKnots(); Index++) {
1110 bs2d->D0(Knotbs2d(Index), NewOriginPoint);
1111 if(Abs(OriginPoint.X() - NewOriginPoint.X()) > Precision::PConfusion() ||
1112 Abs(OriginPoint.Y() - NewOriginPoint.Y()) > Precision::PConfusion() ) continue;
1114 bs2d->SetOrigin(Index);
1121 if(bs2d->Continuity() == GeomAbs_C0) {
1124 repar = Standard_False;
1132 Standard_Integer NbKnots = bs2d->NbKnots();
1133 TColStd_Array1OfReal Knots(1,NbKnots);
1135 // BSplCLib::Reparametrize(f3d,l3d,Knots);
1136 BSplCLib::Reparametrize(fC0,lC0,Knots);
1137 bs2d->SetKnots(Knots);
1138 GAC2d.Load(bs2d,f3d,l3d);
1140 Standard_Boolean updatepcsov = updatepc;
1141 updatepc = Standard_True;
1143 Standard_Real error1 = ComputeTol(HC, HC2d, HS, NCONTROL);
1144 if(error1 > error) {
1146 GAC2d.Load(bs2d,f3d,l3d);
1148 updatepc = updatepcsov;
1149 isANA = Standard_True;
1156 //check, if new BSpline "good" or not --------- IFV, Jan of 2000
1157 GeomAbs_Shape cont = bs2d->Continuity();
1158 Standard_Boolean IsBad = Standard_False;
1160 if(cont > GeomAbs_C0 && error > Max(1.e-3,Tolerance)) {
1161 Standard_Integer NbKnots = bs2d->NbKnots();
1162 TColStd_Array1OfReal Knots(1,NbKnots);
1164 Standard_Real critratio = 10.;
1165 Standard_Real dtprev = Knots(2) - Knots(1), dtratio = 1.;
1166 Standard_Real dtmin = dtprev;
1167 Standard_Real dtcur;
1168 for(Standard_Integer j = 2; j < NbKnots; j++) {
1169 dtcur = Knots(j+1) - Knots(j);
1170 dtmin = Min(dtmin, dtcur);
1174 if(dtcur > dtprev) dtratio = dtcur/dtprev;
1175 else dtratio = dtprev/dtcur;
1176 if(dtratio > critratio) {IsBad = Standard_True;}
1181 // To avoid failures in Approx_CurvilinearParameter
1182 bs2d->Resolution(Max(1.e-3,Tolerance), dtcur);
1183 if(dtmin < dtcur) IsBad = Standard_False;
1188 if(IsBad ) { //if BSpline "bad", try to reparametrize it
1189 // by its curve length
1191 // GeomAbs_Shape cont = bs2d->Continuity();
1192 if(cont > GeomAbs_C2) cont = GeomAbs_C2;
1193 Standard_Integer maxdeg = bs2d->Degree();
1194 if(maxdeg == 1) maxdeg = 14;
1195 Approx_CurvilinearParameter AppCurPar(HC2d, HS, Max(1.e-3,Tolerance),
1197 if(AppCurPar.IsDone() || AppCurPar.HasResult()) {
1198 bs2d = AppCurPar.Curve2d1();
1199 GAC2d.Load(bs2d,f3d,l3d);
1202 if(Abs(bs2d->FirstParameter() - fC0) > Tol2d ||
1203 Abs(bs2d->LastParameter() - lC0) > Tol2d ) {
1204 Standard_Integer NbKnots = bs2d->NbKnots();
1205 TColStd_Array1OfReal Knots(1,NbKnots);
1207 // BSplCLib::Reparametrize(f3d,l3d,Knots);
1208 BSplCLib::Reparametrize(fC0,lC0,Knots);
1209 bs2d->SetKnots(Knots);
1210 GAC2d.Load(bs2d,f3d,l3d);
1223 // Approx_SameParameter SameP(HC,HC2d,HS,Tolerance);
1224 Standard_Real aTol = (isANA && isBSP) ? 1.e-7 : Tolerance;
1225 Approx_SameParameter SameP(HC,HC2d,HS,aTol);
1227 if (SameP.IsSameParameter()) {
1228 maxdist = Max(maxdist,SameP.TolReached());
1230 if (i == 0) GCurve->PCurve(curPC);
1231 else GCurve->PCurve2(curPC);
1234 else if (SameP.IsDone()) {
1235 Standard_Real tolreached = SameP.TolReached();
1236 if(tolreached < error) {
1237 curPC = SameP.Curve2d();
1238 updatepc = Standard_True;
1239 maxdist = Max(maxdist,tolreached);
1242 maxdist = Max(maxdist, error);
1245 if (i == 0) GCurve->PCurve(curPC);
1246 else GCurve->PCurve2(curPC);
1254 // Modified by skv - Thu Jun 3 12:39:19 2004 OCC5898 Begin
1256 if (anEdgeTol > error) {
1257 maxdist = Max(maxdist, anEdgeTol);
1258 IsSameP = Standard_True;
1261 // Modified by skv - Thu Jun 3 12:39:20 2004 OCC5898 End
1266 B.Range(AnEdge,f3d,l3d);
1267 B.SameRange(AnEdge,Standard_True);
1269 // Reduce eventually the tolerance of the edge, as
1270 // all its representations are processed (except for some associated
1271 // to planes and not stored in the edge !)
1272 // The same cannot be done with vertices that cannot be enlarged
1275 // Avoid setting too small tolerances.
1276 maxdist = Max(maxdist,Precision::Confusion());
1277 TopoDS_Vertex V1,V2;
1278 TopExp::Vertices(AnEdge,V1,V2);
1280 B.UpdateVertex(V1,maxdist);
1282 B.UpdateVertex(V2,maxdist);
1283 TE->Modified(Standard_True);
1284 TE->Tolerance(maxdist);
1286 B.SameParameter(AnEdge,Standard_True);
1290 //=======================================================================
1291 //function : UpdateTolerances
1293 //=======================================================================
1294 void BRepLib::UpdateTolerances(const TopoDS_Shape& aShape,
1295 const Standard_Boolean verifyTolerance)
1298 // Harmonize tolerances
1299 // with rule Tolerance(VERTEX)>=Tolerance(EDGE)>=Tolerance(FACE)
1301 Standard_Real tol=0;
1302 if (verifyTolerance) {
1303 // Set tolerance to its minimum value
1304 Handle(Geom_Surface) S;
1308 Standard_Real aXmin, aYmin, aZmin, aXmax, aYmax, aZmax, dMax;
1309 for (ex.Init(aShape, TopAbs_FACE); ex.More(); ex.Next()) {
1310 const TopoDS_Face& curf=TopoDS::Face(ex.Current());
1311 S = BRep_Tool::Surface(curf, l);
1314 BRepBndLib::Add(curf,aB);
1315 if (S->DynamicType() == STANDARD_TYPE(Geom_RectangularTrimmedSurface)) {
1316 S = (*((Handle(Geom_RectangularTrimmedSurface)*)&S))->BasisSurface();
1318 GeomAdaptor_Surface AS(S);
1319 switch (AS.GetType()) {
1321 case GeomAbs_Cylinder:
1324 tol=Precision::Confusion();
1327 case GeomAbs_Sphere:
1330 tol=Precision::Confusion()*2;
1334 tol=Precision::Confusion()*4;
1336 if (!aB.IsWhole()) {
1337 aB.Get(aXmin, aYmin, aZmin, aXmax, aYmax, aZmax);
1339 if (!aB.IsOpenXmin() && !aB.IsOpenXmax()) dMax=aXmax-aXmin;
1340 if (!aB.IsOpenYmin() && !aB.IsOpenYmax()) aYmin=aYmax-aYmin;
1341 if (!aB.IsOpenZmin() && !aB.IsOpenZmax()) aZmin=aZmax-aZmin;
1342 if (aYmin>dMax) dMax=aYmin;
1343 if (aZmin>dMax) dMax=aZmin;
1345 // Do not process tolerances > 1.
1346 if (tol>1.) tol=0.99;
1348 const Handle(BRep_TFace)& Tf = *((Handle(BRep_TFace)*)&curf.TShape());
1355 TopTools_IndexedDataMapOfShapeListOfShape parents;
1356 TopExp::MapShapesAndAncestors(aShape, TopAbs_EDGE, TopAbs_FACE, parents);
1357 TopTools_ListIteratorOfListOfShape lConx;
1358 Standard_Integer iCur;
1359 for (iCur=1; iCur<=parents.Extent(); iCur++) {
1361 for (lConx.Initialize(parents(iCur)); lConx.More(); lConx.Next()) {
1362 tol=Max(tol, BRep_Tool::Tolerance(TopoDS::Face(lConx.Value())));
1364 // Update can only increase tolerance, so if the edge has a greater
1365 // tolerance than its faces it is not concerned
1366 B.UpdateEdge(TopoDS::Edge(parents.FindKey(iCur)), tol);
1369 //Vertices are processed
1371 TopExp::MapShapesAndAncestors(aShape, TopAbs_VERTEX, TopAbs_EDGE, parents);
1372 TColStd_MapOfTransient Initialized;
1373 TopTools_MapOfShape Done;
1374 Standard_Integer nbV = parents.Extent();
1375 for (iCur=1; iCur<=nbV; iCur++) {
1378 const TopoDS_Vertex& V = TopoDS::Vertex(parents.FindKey(iCur));
1380 box.Add(BRep_Tool::Pnt(V));
1382 for (lConx.Initialize(parents(iCur)); lConx.More(); lConx.Next()) {
1383 const TopoDS_Edge& E = TopoDS::Edge(lConx.Value());
1384 if(!Done.Add(E)) continue;
1385 tol=Max(tol, BRep_Tool::Tolerance(E));
1386 if(!BRep_Tool::SameRange(E)) continue;
1387 Standard_Real par = BRep_Tool::Parameter(V,E);
1388 Handle(BRep_TEdge)& TE = *((Handle(BRep_TEdge)*)&E.TShape());
1389 BRep_ListIteratorOfListOfCurveRepresentation itcr(TE->Curves());
1390 const TopLoc_Location& Eloc = E.Location();
1391 while (itcr.More()) {
1392 // For each CurveRepresentation, check the provided parameter
1393 const Handle(BRep_CurveRepresentation)& cr = itcr.Value();
1394 const TopLoc_Location& loc = cr->Location();
1395 TopLoc_Location L = (Eloc * loc);
1396 if (cr->IsCurve3D()) {
1397 const Handle(Geom_Curve)& C = cr->Curve3D();
1398 if (!C.IsNull()) { // edge non degenerated
1399 p3d = C->Value(par);
1400 p3d.Transform(L.Transformation());
1404 else if (cr->IsCurveOnSurface()) {
1405 const Handle(Geom_Surface)& Su = cr->Surface();
1406 const Handle(Geom2d_Curve)& PC = cr->PCurve();
1407 Handle(Geom2d_Curve) PC2;
1408 if (cr->IsCurveOnClosedSurface()) {
1409 PC2 = cr->PCurve2();
1411 gp_Pnt2d p2d = PC->Value(par);
1412 p3d = Su->Value(p2d.X(),p2d.Y());
1413 p3d.Transform(L.Transformation());
1415 if (!PC2.IsNull()) {
1416 p2d = PC2->Value(par);
1417 p3d = Su->Value(p2d.X(),p2d.Y());
1418 p3d.Transform(L.Transformation());
1425 Standard_Real aXmin, aYmin, aZmin, aXmax, aYmax, aZmax;
1426 box.Get(aXmin, aYmin, aZmin, aXmax, aYmax, aZmax);
1427 aXmax -= aXmin; aYmax -= aYmin; aZmax -= aZmin;
1428 tol = Max(tol,sqrt(aXmax*aXmax+aYmax*aYmax+aZmax*aZmax));
1429 tol += 2.*Epsilon(tol);
1430 if (verifyTolerance) {
1431 // ASet minimum value of the tolerance
1432 // Attention to sharing of the vertex by other shapes
1433 const Handle(BRep_TVertex)& TV = *((Handle(BRep_TVertex)*)&V.TShape());
1434 if (Initialized.Add(TV))
1437 B.UpdateVertex(V, tol);
1440 // Update can only increase tolerance, so if the edge has a greater
1441 // tolerance than its faces it is not concerned
1442 B.UpdateVertex(V, tol);
1447 //=======================================================================
1448 //function : OrientClosedSolid
1450 //=======================================================================
1451 Standard_Boolean BRepLib::OrientClosedSolid(TopoDS_Solid& solid)
1453 // Set material inside the solid
1454 BRepClass3d_SolidClassifier where(solid);
1455 where.PerformInfinitePoint(Precision::Confusion());
1456 if (where.State()==TopAbs_IN) {
1459 else if (where.State()==TopAbs_ON || where.State()==TopAbs_UNKNOWN)
1460 return Standard_False;
1462 return Standard_True;
1465 //=======================================================================
1466 //function : tgtfaces
1467 //purpose : check the angle at the border between two squares.
1468 // Two shares should have a shared front edge.
1469 //=======================================================================
1471 static Standard_Boolean tgtfaces(const TopoDS_Edge& Ed,
1472 const TopoDS_Face& F1,
1473 const TopoDS_Face& F2,
1474 const Standard_Real ta,
1475 const Standard_Boolean couture)
1477 // Check if pcurves exist on both faces of edge
1478 Standard_Real aFirst,aLast;
1479 Handle(Geom2d_Curve) aCurve;
1480 aCurve = BRep_Tool::CurveOnSurface(Ed,F1,aFirst,aLast);
1482 return Standard_False;
1483 aCurve = BRep_Tool::CurveOnSurface(Ed,F2,aFirst,aLast);
1485 return Standard_False;
1489 BRepAdaptor_Surface aBAS1(F1,Standard_False);
1490 BRepAdaptor_Surface aBAS2(F2,Standard_False);
1491 Handle(BRepAdaptor_HSurface) HS1 = new BRepAdaptor_HSurface(aBAS1);
1492 Handle(BRepAdaptor_HSurface) HS2;
1493 if(couture) HS2 = HS1;
1494 else HS2 = new BRepAdaptor_HSurface(aBAS2);
1496 E.Orientation(TopAbs_FORWARD);
1497 Handle(BRepAdaptor_HCurve2d) HC2d1 = new BRepAdaptor_HCurve2d();
1498 HC2d1->ChangeCurve2d().Initialize(E,F1);
1499 if(couture) E.Orientation(TopAbs_REVERSED);
1500 Handle(BRepAdaptor_HCurve2d) HC2d2 = new BRepAdaptor_HCurve2d();
1501 HC2d2->ChangeCurve2d().Initialize(E,F2);
1502 Adaptor3d_CurveOnSurface C1(HC2d1,HS1);
1503 Adaptor3d_CurveOnSurface C2(HC2d2,HS2);
1505 Standard_Boolean rev1 = (F1.Orientation() == TopAbs_REVERSED);
1506 Standard_Boolean rev2 = (F2.Orientation() == TopAbs_REVERSED);
1507 Standard_Real f,l,eps, angmax = -M_PI;
1508 Standard_Real ang =0.;
1509 BRep_Tool::Range(E,f,l);
1510 Extrema_LocateExtPC ext;
1511 Standard_Boolean IsInitialized = Standard_False;
1514 f += eps; // to avoid calculations on
1515 l -= eps; // points of pointed squares.
1517 gp_Pnt pp1,pp2;//,PP;
1520 Standard_Real uu, vv, norm;
1523 Standard_Boolean Nok;
1524 for(i = 0; (i<= 20) && (angmax<=ta) ; i++){
1525 // First suppose that this is sameParameter
1526 Nok = Standard_True;
1529 HS1->D1(p.X(),p.Y(),pp1,du,dv);
1530 d1 = (du.Crossed(dv));
1531 norm = d1.Magnitude();
1532 if (norm > 1.e-12) d1 /= norm;
1533 else Nok=Standard_False;
1534 if(rev1) d1.Reverse();
1537 HS2->D1(p.X(), p.Y(), pp2, du, dv);
1538 d2 = (du.Crossed(dv));
1539 norm = d2.Magnitude();
1540 if (norm> 1.e-12) d2 /= norm;
1541 else Nok=Standard_False;
1542 if(rev2) d2.Reverse();
1543 if (Nok) ang = d1.Angle(d2);
1545 if (Nok &&(ang > ta)) { // Refine by projection
1546 if (! IsInitialized ) {
1547 ext.Initialize(C2,f,l,Precision::PConfusion());
1548 IsInitialized = Standard_True;
1551 if(ext.IsDone() && ext.IsMin()){
1552 Extrema_POnCurv poc = ext.Point();
1553 Standard_Real v = poc.Parameter();
1557 HS2->D1(p.X(), p.Y(), pp2, du, dv);
1558 d2 = (du.Crossed(dv));
1559 norm = d2.Magnitude();
1560 if (norm> 1.e-12) d2 /= norm;
1561 else Nok = Standard_False;
1562 if(rev2) d2.Reverse();
1563 if (Nok) ang = d1.Angle(d2);
1566 if(ang >= angmax) angmax = ang;
1569 return (angmax<=ta);
1574 //=======================================================================
1575 // function : EncodeRegularity
1576 // purpose : code the regularities on all edges of the shape, boundary of
1577 // two faces that do not have it.
1578 //=======================================================================
1580 void BRepLib::EncodeRegularity(const TopoDS_Shape& S,
1581 const Standard_Real TolAng)
1584 TopTools_IndexedDataMapOfShapeListOfShape M;
1585 TopExp::MapShapesAndAncestors(S,TopAbs_EDGE,TopAbs_FACE,M);
1586 TopTools_ListIteratorOfListOfShape It;
1589 Standard_Boolean found, couture;
1590 for(Standard_Integer i = 1; i <= M.Extent(); i++){
1591 TopoDS_Edge E = TopoDS::Edge(M.FindKey(i));
1592 found = Standard_False; couture = Standard_False;
1594 for(It.Initialize(M.FindFromIndex(i));It.More() && !found;It.Next()){
1595 if(F1.IsNull()) { F1 = TopoDS::Face(It.Value()); }
1597 if(!F1.IsSame(TopoDS::Face(It.Value()))){
1598 found = Standard_True;
1599 F2 = TopoDS::Face(It.Value());
1603 if (!found && !F1.IsNull()){//is it a sewing edge?
1604 TopAbs_Orientation orE = E.Orientation();
1606 for(Ex.Init(F1,TopAbs_EDGE);Ex.More() && !found;Ex.Next()){
1607 curE= TopoDS::Edge(Ex.Current());
1608 if(E.IsSame(curE) && orE != curE.Orientation()) {
1609 found = Standard_True;
1610 couture = Standard_True;
1616 if(BRep_Tool::Continuity(E,F1,F2)<=GeomAbs_C0){
1619 if(tgtfaces(E, F1, F2, TolAng, couture)){
1620 B.Continuity(E,F1,F2,GeomAbs_G1);
1623 catch(Standard_Failure)
1631 //=======================================================================
1632 // function : EncodeRegularity
1633 // purpose : code the regularity between 2 faces on an edge
1634 //=======================================================================
1636 void BRepLib::EncodeRegularity(TopoDS_Edge& E,
1637 const TopoDS_Face& F1,
1638 const TopoDS_Face& F2,
1639 const Standard_Real TolAng)
1642 if(BRep_Tool::Continuity(E,F1,F2)<=GeomAbs_C0){
1644 if( tgtfaces(E, F1, F2, TolAng, F1.IsEqual(F2))) {
1645 B.Continuity(E,F1,F2,GeomAbs_G1);
1648 catch(Standard_Failure)
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);