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 <Adaptor3d_CurveOnSurface.hxx>
21 #include <AdvApprox_ApproxAFunction.hxx>
22 #include <AppParCurves_MultiBSpCurve.hxx>
23 #include <AppParCurves_MultiCurve.hxx>
24 #include <Approx_CurvilinearParameter.hxx>
25 #include <Approx_SameParameter.hxx>
26 #include <Bnd_Box.hxx>
27 #include <BRep_Builder.hxx>
28 #include <BRep_CurveRepresentation.hxx>
29 #include <BRep_GCurve.hxx>
30 #include <BRep_ListIteratorOfListOfCurveRepresentation.hxx>
31 #include <BRep_ListOfCurveRepresentation.hxx>
32 #include <BRep_TEdge.hxx>
33 #include <BRep_TFace.hxx>
34 #include <BRep_Tool.hxx>
35 #include <BRep_TVertex.hxx>
36 #include <BRepAdaptor_HCurve2d.hxx>
37 #include <BRepAdaptor_HSurface.hxx>
38 #include <BRepAdaptor_Surface.hxx>
39 #include <BRepBndLib.hxx>
40 #include <BRepClass3d_SolidClassifier.hxx>
41 #include <BRepLib.hxx>
42 #include <BSplCLib.hxx>
44 #include <Extrema_LocateExtPC.hxx>
45 #include <GCPnts_QuasiUniformDeflection.hxx>
46 #include <Geom2d_BSplineCurve.hxx>
47 #include <Geom2d_Curve.hxx>
48 #include <Geom2d_TrimmedCurve.hxx>
49 #include <Geom2dAdaptor.hxx>
50 #include <Geom2dAdaptor_Curve.hxx>
51 #include <Geom2dAdaptor_HCurve.hxx>
52 #include <Geom2dConvert.hxx>
53 #include <Geom_BSplineCurve.hxx>
54 #include <Geom_BSplineSurface.hxx>
55 #include <Geom_Curve.hxx>
56 #include <Geom_Plane.hxx>
57 #include <Geom_RectangularTrimmedSurface.hxx>
58 #include <Geom_Surface.hxx>
59 #include <Geom_TrimmedCurve.hxx>
60 #include <GeomAdaptor_Curve.hxx>
61 #include <GeomAdaptor_HCurve.hxx>
62 #include <GeomAdaptor_HSurface.hxx>
63 #include <GeomAdaptor_Surface.hxx>
64 #include <GeomLib.hxx>
65 #include <GeomLProp_SLProps.hxx>
69 #include <Poly_PolygonOnTriangulation.hxx>
70 #include <Poly_Triangulation.hxx>
71 #include <Precision.hxx>
72 #include <ProjLib_ProjectedCurve.hxx>
73 #include <Standard_Real.hxx>
74 #include <TColgp_Array1OfPnt.hxx>
75 #include <TColgp_Array1OfPnt2d.hxx>
76 #include <TColStd_Array1OfReal.hxx>
77 #include <TColStd_MapOfTransient.hxx>
79 #include <TopExp_Explorer.hxx>
81 #include <TopoDS_Edge.hxx>
82 #include <TopoDS_Face.hxx>
83 #include <TopoDS_Shape.hxx>
84 #include <TopoDS_Solid.hxx>
85 #include <TopoDS_Vertex.hxx>
86 #include <TopTools_IndexedDataMapOfShapeListOfShape.hxx>
87 #include <TopTools_ListIteratorOfListOfShape.hxx>
88 #include <TopTools_MapOfShape.hxx>
89 #include <TShort_HArray1OfShortReal.hxx>
91 // TODO - not thread-safe static variables
92 static Standard_Real thePrecision = Precision::Confusion();
93 static Handle(Geom_Plane) thePlane;
95 //=======================================================================
96 //function : Precision
98 //=======================================================================
100 void BRepLib::Precision(const Standard_Real P)
105 //=======================================================================
106 //function : Precision
108 //=======================================================================
110 Standard_Real BRepLib::Precision()
115 //=======================================================================
118 //=======================================================================
120 void BRepLib::Plane(const Handle(Geom_Plane)& P)
126 //=======================================================================
129 //=======================================================================
131 const Handle(Geom_Plane)& BRepLib::Plane()
133 if (thePlane.IsNull()) thePlane = new Geom_Plane(gp::XOY());
136 //=======================================================================
137 //function : CheckSameRange
139 //=======================================================================
141 Standard_Boolean BRepLib::CheckSameRange(const TopoDS_Edge& AnEdge,
142 const Standard_Real Tolerance)
144 Standard_Boolean IsSameRange = Standard_True,
145 first_time_in = Standard_True ;
147 BRep_ListIteratorOfListOfCurveRepresentation an_Iterator
148 ((*((Handle(BRep_TEdge)*)&AnEdge.TShape()))->ChangeCurves());
150 Standard_Real first, last;
151 Standard_Real current_first =0., current_last =0. ;
152 Handle(BRep_GCurve) geometric_representation_ptr ;
154 while (IsSameRange && an_Iterator.More()) {
155 geometric_representation_ptr =
156 Handle(BRep_GCurve)::DownCast(an_Iterator.Value());
157 if (!geometric_representation_ptr.IsNull()) {
159 first = geometric_representation_ptr->First();
160 last = geometric_representation_ptr->Last();
161 if (first_time_in ) {
162 current_first = first ;
163 current_last = last ;
164 first_time_in = Standard_False ;
167 IsSameRange = (Abs(current_first - first) <= Tolerance)
168 && (Abs(current_last -last) <= Tolerance ) ;
176 //=======================================================================
177 //function : SameRange
179 //=======================================================================
181 void BRepLib::SameRange(const TopoDS_Edge& AnEdge,
182 const Standard_Real Tolerance)
184 BRep_ListIteratorOfListOfCurveRepresentation an_Iterator
185 ((*((Handle(BRep_TEdge)*)&AnEdge.TShape()))->ChangeCurves());
187 Handle(Geom2d_Curve) Curve2dPtr, Curve2dPtr2, NewCurve2dPtr, NewCurve2dPtr2;
188 TopLoc_Location LocalLoc ;
190 Standard_Boolean first_time_in = Standard_True,
193 Handle(BRep_GCurve) geometric_representation_ptr ;
199 const Handle(Geom_Curve) C = BRep_Tool::Curve(AnEdge,
204 first_time_in = Standard_False ;
207 while (an_Iterator.More()) {
208 geometric_representation_ptr =
209 Handle(BRep_GCurve)::DownCast(an_Iterator.Value());
210 if (! geometric_representation_ptr.IsNull()) {
212 has_curve = Standard_False ;
213 first = geometric_representation_ptr->First();
214 last = geometric_representation_ptr->Last();
215 if (geometric_representation_ptr->IsCurveOnSurface()) {
216 Curve2dPtr = geometric_representation_ptr->PCurve() ;
217 has_curve = Standard_True ;
219 if (geometric_representation_ptr->IsCurveOnClosedSurface()) {
220 Curve2dPtr2 = geometric_representation_ptr->PCurve2() ;
221 has_closed_curve = Standard_True ;
223 if (has_curve || has_closed_curve) {
225 current_first = first ;
226 current_last = last ;
227 first_time_in = Standard_False ;
230 if (Abs(first - current_first) > Precision::Confusion() ||
231 Abs(last - current_last) > Precision::Confusion() )
235 GeomLib::SameRange(Tolerance,
237 geometric_representation_ptr->First(),
238 geometric_representation_ptr->Last(),
242 geometric_representation_ptr->PCurve(NewCurve2dPtr) ;
244 if (has_closed_curve)
246 GeomLib::SameRange(Tolerance,
248 geometric_representation_ptr->First(),
249 geometric_representation_ptr->Last(),
253 geometric_representation_ptr->PCurve2(NewCurve2dPtr2) ;
261 B.Range(TopoDS::Edge(AnEdge),
269 //=======================================================================
270 //function : EvaluateMaxSegment
271 //purpose : return MaxSegment to pass in approximation, if MaxSegment==0 provided
272 //=======================================================================
274 static Standard_Integer evaluateMaxSegment(const Standard_Integer aMaxSegment,
275 const Adaptor3d_CurveOnSurface& aCurveOnSurface)
277 if (aMaxSegment != 0) return aMaxSegment;
279 Handle(Adaptor3d_HSurface) aSurf = aCurveOnSurface.GetSurface();
280 Handle(Adaptor2d_HCurve2d) aCurv2d = aCurveOnSurface.GetCurve();
282 Standard_Real aNbSKnots = 0, aNbC2dKnots = 0;
284 if (aSurf->GetType() == GeomAbs_BSplineSurface) {
285 Handle(Geom_BSplineSurface) aBSpline = aSurf->BSpline();
286 aNbSKnots = Max(aBSpline->NbUKnots(), aBSpline->NbVKnots());
288 if (aCurv2d->GetType() == GeomAbs_BSplineCurve) {
289 aNbC2dKnots = aCurv2d->NbKnots();
291 Standard_Integer aReturn = (Standard_Integer) ( 30 + Max(aNbSKnots, aNbC2dKnots) ) ;
295 //=======================================================================
296 //function : BuildCurve3d
298 //=======================================================================
300 Standard_Boolean BRepLib::BuildCurve3d(const TopoDS_Edge& AnEdge,
301 const Standard_Real Tolerance,
302 const GeomAbs_Shape Continuity,
303 const Standard_Integer MaxDegree,
304 const Standard_Integer MaxSegment)
306 Standard_Integer //ErrorCode,
312 TopLoc_Location LocalLoc,L[2],LC;
313 Standard_Real f,l,fc,lc, first[2], last[2],
317 Handle(Geom2d_Curve) Curve2dPtr, Curve2dArray[2] ;
318 Handle(Geom_Surface) SurfacePtr, SurfaceArray[2] ;
320 Standard_Integer not_done ;
321 // if the edge has a 3d curve returns true
324 const Handle(Geom_Curve) C = BRep_Tool::Curve(AnEdge,LocalLoc,f,l);
326 return Standard_True;
328 // this should not exists but UpdateEdge makes funny things
329 // if the edge is not same range
331 if (! CheckSameRange(AnEdge,
332 Precision::Confusion())) {
339 // search a curve on a plane
340 Handle(Geom_Surface) S;
341 Handle(Geom2d_Curve) PC;
342 Standard_Integer i = 0;
343 Handle(Geom_Plane) P;
348 BRep_Tool::CurveOnSurface(AnEdge,PC,S,LocalLoc,f,l,i);
349 Handle(Geom_RectangularTrimmedSurface) RT =
350 Handle(Geom_RectangularTrimmedSurface)::DownCast(S);
352 P = Handle(Geom_Plane)::DownCast(S);
355 P = Handle(Geom_Plane)::DownCast(RT->BasisSurface());
357 not_done = ! (S.IsNull() || !P.IsNull()) ;
360 // compute the 3d curve
361 gp_Ax2 axes = P->Position().Ax2();
362 Handle(Geom_Curve) C3d = GeomLib::To3d(axes,PC);
364 return Standard_False;
366 Standard_Real First, Last;
369 B.UpdateEdge(AnEdge,C3d,LocalLoc,0.0e0);
370 BRep_Tool::Range(AnEdge, S, LC, First, Last);
371 B.Range(AnEdge, First, Last); //Do not forget 3D range.(PRO6412)
375 // compute the 3d curve using existing surface
379 if (!BRep_Tool::Degenerated(AnEdge)) {
381 for (ii = 0 ; ii < 3 ; ii++ ) {
382 BRep_Tool::CurveOnSurface(TopoDS::Edge(AnEdge),
390 if (!Curve2dPtr.IsNull() && jj < 2){
391 Curve2dArray[jj] = Curve2dPtr ;
392 SurfaceArray[jj] = SurfacePtr ;
401 Curve2dPtr = Curve2dArray[0] ;
402 SurfacePtr = SurfaceArray[0] ;
404 Geom2dAdaptor_Curve AnAdaptor3dCurve2d (Curve2dPtr, f, l) ;
405 GeomAdaptor_Surface AnAdaptor3dSurface (SurfacePtr) ;
406 Handle(Geom2dAdaptor_HCurve) AnAdaptor3dCurve2dPtr =
407 new Geom2dAdaptor_HCurve(AnAdaptor3dCurve2d) ;
408 Handle(GeomAdaptor_HSurface) AnAdaptor3dSurfacePtr =
409 new GeomAdaptor_HSurface (AnAdaptor3dSurface) ;
410 Adaptor3d_CurveOnSurface CurveOnSurface( AnAdaptor3dCurve2dPtr,
411 AnAdaptor3dSurfacePtr) ;
413 Handle(Geom_Curve) NewCurvePtr ;
415 GeomLib::BuildCurve3d(Tolerance,
424 evaluateMaxSegment(MaxSegment,CurveOnSurface)) ;
426 tolerance = BRep_Tool::Tolerance(AnEdge) ;
428 //max_deviation = Max(tolerance, max_deviation) ;
429 max_deviation = Max( tolerance, Tolerance );
430 if (NewCurvePtr.IsNull())
431 return Standard_False;
432 B.UpdateEdge(TopoDS::Edge(AnEdge),
438 // if there is only one curve on surface attached to the edge
439 // than it can be qualified sameparameter
441 B.SameParameter(TopoDS::Edge(AnEdge),
446 return Standard_False ;
450 return Standard_True;
452 //=======================================================================
453 //function : BuildCurves3d
455 //=======================================================================
457 Standard_Boolean BRepLib::BuildCurves3d(const TopoDS_Shape& S)
460 return BRepLib::BuildCurves3d(S,
464 //=======================================================================
465 //function : BuildCurves3d
467 //=======================================================================
469 Standard_Boolean BRepLib::BuildCurves3d(const TopoDS_Shape& S,
470 const Standard_Real Tolerance,
471 const GeomAbs_Shape Continuity,
472 const Standard_Integer MaxDegree,
473 const Standard_Integer MaxSegment)
475 Standard_Boolean boolean_value,
477 TopTools_MapOfShape a_counter ;
478 TopExp_Explorer ex(S,TopAbs_EDGE);
481 if (a_counter.Add(ex.Current())) {
483 BuildCurve3d(TopoDS::Edge(ex.Current()),
484 Tolerance, Continuity,
485 MaxDegree, MaxSegment);
486 ok = ok && boolean_value ;
492 //=======================================================================
493 //function : UpdateEdgeTolerance
495 //=======================================================================
497 Standard_Boolean BRepLib::UpdateEdgeTol(const TopoDS_Edge& AnEdge,
498 const Standard_Real MinToleranceRequested,
499 const Standard_Real MaxToleranceToCheck)
502 Standard_Integer curve_on_surface_index,
509 geom_reference_curve_flag = 0,
510 max_sampling_points = 90,
511 min_sampling_points = 30 ;
513 Standard_Real factor = 100.0e0,
514 // sampling_array[2],
519 coded_edge_tolerance,
520 edge_tolerance = 0.0e0 ;
521 Handle(TColStd_HArray1OfReal) parameters_ptr ;
522 Handle(BRep_GCurve) geometric_representation_ptr ;
524 if (BRep_Tool::Degenerated(AnEdge)) return Standard_False ;
525 coded_edge_tolerance = BRep_Tool::Tolerance(AnEdge) ;
526 if (coded_edge_tolerance > MaxToleranceToCheck) return Standard_False ;
528 const Handle(BRep_TEdge)& TE = *((Handle(BRep_TEdge)*)&AnEdge.TShape());
529 BRep_ListOfCurveRepresentation& list_curve_rep = TE->ChangeCurves() ;
530 BRep_ListIteratorOfListOfCurveRepresentation an_iterator(list_curve_rep),
531 second_iterator(list_curve_rep) ;
532 Handle(Geom2d_Curve) curve2d_ptr, new_curve2d_ptr;
533 Handle(Geom_Surface) surface_ptr ;
534 TopLoc_Location local_location ;
535 GCPnts_QuasiUniformDeflection a_sampler ;
536 GeomAdaptor_Curve geom_reference_curve ;
537 Adaptor3d_CurveOnSurface curve_on_surface_reference ;
538 Handle(Geom_Curve) C = BRep_Tool::Curve(AnEdge,
542 curve_on_surface_index = -1 ;
544 if (! local_location.IsIdentity()) {
545 C = Handle(Geom_Curve)::
546 DownCast(C-> Transformed(local_location.Transformation()) ) ;
548 geom_reference_curve.Load(C) ;
549 geom_reference_curve_flag = 1 ;
550 a_sampler.Initialize(geom_reference_curve,
551 MinToleranceRequested * factor,
557 curve_on_surface_index = 0 ;
559 while (not_done && an_iterator.More()) {
560 geometric_representation_ptr =
561 Handle(BRep_GCurve)::DownCast(second_iterator.Value());
562 if (!geometric_representation_ptr.IsNull()
563 && geometric_representation_ptr->IsCurveOnSurface()) {
564 curve2d_ptr = geometric_representation_ptr->PCurve() ;
565 local_location = geometric_representation_ptr->Location() ;
566 current_first = geometric_representation_ptr->First();
567 //first = geometric_representation_ptr->First();
568 current_last = geometric_representation_ptr->Last();
571 if (! local_location.IsIdentity() ) {
572 surface_ptr = Handle(Geom_Surface)::
573 DownCast( geometric_representation_ptr->Surface()->
574 Transformed(local_location.Transformation()) ) ;
578 geometric_representation_ptr->Surface() ;
582 curve_on_surface_index += 1 ;
584 Geom2dAdaptor_Curve AnAdaptor3dCurve2d (curve2d_ptr) ;
585 GeomAdaptor_Surface AnAdaptor3dSurface (surface_ptr) ;
586 Handle(Geom2dAdaptor_HCurve) AnAdaptor3dCurve2dPtr =
587 new Geom2dAdaptor_HCurve(AnAdaptor3dCurve2d) ;
588 Handle(GeomAdaptor_HSurface) AnAdaptor3dSurfacePtr =
589 new GeomAdaptor_HSurface (AnAdaptor3dSurface) ;
590 curve_on_surface_reference.Load (AnAdaptor3dCurve2dPtr, AnAdaptor3dSurfacePtr);
591 a_sampler.Initialize(curve_on_surface_reference,
592 MinToleranceRequested * factor,
596 TColStd_Array1OfReal sampling_parameters(1,a_sampler.NbPoints()) ;
597 for (ii = 1 ; ii <= a_sampler.NbPoints() ; ii++) {
598 sampling_parameters(ii) = a_sampler.Parameter(ii) ;
600 if (a_sampler.NbPoints() < min_sampling_points) {
601 GeomLib::DensifyArray1OfReal(min_sampling_points,
605 else if (a_sampler.NbPoints() > max_sampling_points) {
606 GeomLib::RemovePointsFromArray(max_sampling_points,
613 new TColStd_HArray1OfReal(1,sampling_parameters.Length()) ;
614 for (ii = sampling_parameters.Lower() ; ii <= sampling_parameters.Upper() ; ii++) {
615 parameters_ptr->ChangeArray1()(jj) =
616 sampling_parameters(ii) ;
623 while (second_iterator.More()) {
624 geometric_representation_ptr =
625 Handle(BRep_GCurve)::DownCast(second_iterator.Value());
626 if (! geometric_representation_ptr.IsNull() &&
627 curve_index != curve_on_surface_index) {
629 has_curve = Standard_False ;
630 // first = geometric_representation_ptr->First();
631 // last = geometric_representation_ptr->Last();
632 local_location = geometric_representation_ptr->Location() ;
633 if (geometric_representation_ptr->IsCurveOnSurface()) {
634 curve2d_ptr = geometric_representation_ptr->PCurve() ;
635 has_curve = Standard_True ;
637 if (geometric_representation_ptr->IsCurveOnClosedSurface()) {
638 curve2d_ptr = geometric_representation_ptr->PCurve2() ;
639 has_closed_curve = Standard_True ;
644 if (! local_location.IsIdentity() ) {
645 surface_ptr = Handle(Geom_Surface)::
646 DownCast( geometric_representation_ptr->Surface()->
647 Transformed(local_location.Transformation()) ) ;
651 geometric_representation_ptr->Surface() ;
653 Geom2dAdaptor_Curve an_adaptor_curve2d (curve2d_ptr) ;
654 GeomAdaptor_Surface an_adaptor_surface(surface_ptr) ;
655 Handle(Geom2dAdaptor_HCurve) an_adaptor_curve2d_ptr =
656 new Geom2dAdaptor_HCurve(an_adaptor_curve2d) ;
657 Handle(GeomAdaptor_HSurface) an_adaptor_surface_ptr =
658 new GeomAdaptor_HSurface (an_adaptor_surface) ;
659 Adaptor3d_CurveOnSurface a_curve_on_surface(an_adaptor_curve2d_ptr,
660 an_adaptor_surface_ptr) ;
662 if (BRep_Tool::SameParameter(AnEdge)) {
664 GeomLib::EvalMaxParametricDistance(a_curve_on_surface,
665 geom_reference_curve,
666 MinToleranceRequested,
667 parameters_ptr->Array1(),
670 else if (geom_reference_curve_flag) {
671 GeomLib::EvalMaxDistanceAlongParameter(a_curve_on_surface,
672 geom_reference_curve,
673 MinToleranceRequested,
674 parameters_ptr->Array1(),
679 GeomLib::EvalMaxDistanceAlongParameter(a_curve_on_surface,
680 curve_on_surface_reference,
681 MinToleranceRequested,
682 parameters_ptr->Array1(),
685 max_distance *= safe_factor ;
686 edge_tolerance = Max(max_distance, edge_tolerance) ;
692 second_iterator.Next() ;
695 TE->Tolerance(edge_tolerance);
696 return Standard_True ;
699 //=======================================================================
700 //function : UpdateEdgeTolerance
702 //=======================================================================
704 Standard_Boolean BRepLib::UpdateEdgeTolerance(const TopoDS_Shape& S,
705 const Standard_Real MinToleranceRequested,
706 const Standard_Real MaxToleranceToCheck)
708 TopExp_Explorer ex(S,TopAbs_EDGE);
709 TopTools_MapOfShape a_counter ;
711 Standard_Boolean return_status = Standard_False,
715 if (a_counter.Add(ex.Current())) {
717 BRepLib::UpdateEdgeTol(TopoDS::Edge(ex.Current()),
718 MinToleranceRequested,
719 MaxToleranceToCheck) ;
720 if (local_flag && ! return_status) {
721 return_status = Standard_True ;
726 return return_status ;
729 //=======================================================================
730 //function : SetEdgeTol
732 //=======================================================================
734 static void SetEdgeTol(const TopoDS_Edge& E,
735 const TopoDS_Face& F)
738 const Handle(Geom_Surface)& S = BRep_Tool::Surface(F,L);
739 TopLoc_Location l = L.Predivided(E.Location());
741 const Handle(BRep_TEdge)& TE = *((Handle(BRep_TEdge)*)&E.TShape());
742 BRep_ListIteratorOfListOfCurveRepresentation itcr(TE->ChangeCurves());
744 while (itcr.More()) {
745 const Handle(BRep_CurveRepresentation)& cr = itcr.Value();
746 if(cr->IsCurveOnSurface(S,l)) return;
750 Handle(Geom_Plane) GP;
751 Handle(Geom_RectangularTrimmedSurface) GRTS;
752 GRTS = Handle(Geom_RectangularTrimmedSurface)::DownCast(S);
754 GP = Handle(Geom_Plane)::DownCast(GRTS->BasisSurface());
756 GP = Handle(Geom_Plane)::DownCast(S);
758 Handle(GeomAdaptor_HCurve) HC = new GeomAdaptor_HCurve();
759 Handle(GeomAdaptor_HSurface) 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 eps = Max(Pc3d.XYZ().SquareModulus(), Pcons.XYZ().SquareModulus());
789 Standard_Real temp = Pc3d.SquareDistance(Pcons);
794 if(temp > d2) d2 = temp;
797 TE->UpdateTolerance(d2);
800 //=======================================================================
801 //function : SameParameter
803 //=======================================================================
804 void BRepLib::SameParameter(const TopoDS_Shape& S,
805 const Standard_Real Tolerance,
806 const Standard_Boolean forced)
808 TopExp_Explorer ex(S,TopAbs_EDGE);
809 TopTools_MapOfShape Done;
813 if (Done.Add(ex.Current())) {
815 brB.SameRange(TopoDS::Edge(ex.Current()), Standard_False);
816 brB.SameParameter(TopoDS::Edge(ex.Current()), Standard_False);
818 BRepLib::SameParameter(TopoDS::Edge(ex.Current()),Tolerance);
824 BRepAdaptor_Surface BS;
825 for(ex.Init(S,TopAbs_FACE); ex.More(); ex.Next()){
826 const TopoDS_Face& curface = TopoDS::Face(ex.Current());
827 if(!Done.Add(curface)) continue;
828 BS.Initialize(curface);
829 if(BS.GetType() != GeomAbs_Plane) continue;
831 for(ex2.Init(curface,TopAbs_EDGE); ex2.More(); ex2.Next()){
832 const TopoDS_Edge& E = TopoDS::Edge(ex2.Current());
833 SetEdgeTol(E,curface);
836 BRepLib::UpdateTolerances(S);
839 //================================================================
840 //function : SameParameter
841 //WARNING : New spec DUB LBO 9/9/97.
842 // Recode in the edge the best tolerance found,
843 // for vertex extremities it is required to find something else
844 //================================================================
845 static Standard_Boolean EvalTol(const Handle(Geom2d_Curve)& pc,
846 const Handle(Geom_Surface)& s,
847 const GeomAdaptor_Curve& gac,
848 const Standard_Real tol,
849 Standard_Real& tolbail)
851 Standard_Integer ok = 0;
852 Standard_Real f = gac.FirstParameter();
853 Standard_Real l = gac.LastParameter();
854 Extrema_LocateExtPC Projector;
855 Projector.Initialize(gac,f,l,tol);
859 for(Standard_Integer i = 1; i <= 5; i++){
860 Standard_Real t = i/6.;
861 t = (1.-t) * f + t * l;
862 pc->Value(t).Coord(u,v);
864 Projector.Perform(p,t);
865 if (Projector.IsDone()) {
866 Standard_Real dist2 = Projector.SquareDistance();
867 if(dist2 > tolbail * tolbail) tolbail = sqrt (dist2);
874 static Standard_Real ComputeTol(const Handle(Adaptor3d_HCurve)& c3d,
875 const Handle(Adaptor2d_HCurve2d)& c2d,
876 const Handle(Adaptor3d_HSurface)& surf,
877 const Standard_Integer nbp)
881 TColStd_Array1OfReal dist(1,nbp+10);
884 Adaptor3d_CurveOnSurface cons(c2d,surf);
885 Standard_Real d2 = 0.;
886 Standard_Real first = c3d->FirstParameter();
887 Standard_Real last = c3d->LastParameter();
888 Standard_Integer i = 0;
889 for(i = 0; i <= nbp; i++){
890 const Standard_Real t = IntToReal(i)/IntToReal(nbp);
891 const Standard_Real u = first*(1.-t) + last*t;
892 gp_Pnt Pc3d = c3d->Value(u);
893 gp_Pnt Pcons = cons.Value(u);
894 if (Precision::IsInfinite(Pcons.X()) ||
895 Precision::IsInfinite(Pcons.Y()) ||
896 Precision::IsInfinite(Pcons.Z())) {
897 d2=Precision::Infinite();
900 Standard_Real temp = Pc3d.SquareDistance(Pcons);
906 if(temp > d2) d2 = temp;
910 Standard_Boolean ana = Standard_False;
911 Standard_Real D2 = 0;
912 Standard_Integer N1 = 0;
913 Standard_Integer N2 = 0;
914 Standard_Integer N3 = 0;
916 for( i = 1; i<= nbp+10; i++)
918 if( dist(i) < 1.0 ) N1++;
922 if( N1 > N2 && N2 != 0 ) N3 = 100*N2/(N1+N2);
923 if( N3 < 10 && N3 != 0 ) {
925 for( i = 1; i<= nbp+10; i++)
926 if( dist(i) > 0 && dist(i) < 1.0 )
927 if( dist(i) > D2 ) D2 = dist(i);
931 d2 = (!ana) ? 1.5*sqrt(d2) : 1.5*sqrt(D2);
932 if(d2<1.e-7) d2 = 1.e-7;
937 void BRepLib::SameParameter(const TopoDS_Edge& AnEdge,
938 const Standard_Real Tolerance)
940 if (BRep_Tool::SameParameter(AnEdge)) return;
942 const Standard_Integer NCONTROL = 22;
944 Handle(GeomAdaptor_HCurve) HC = new GeomAdaptor_HCurve();
945 Handle(Geom2dAdaptor_HCurve) HC2d = new Geom2dAdaptor_HCurve();
946 Handle(GeomAdaptor_HSurface) HS = new GeomAdaptor_HSurface();
947 GeomAdaptor_Curve& GAC = HC->ChangeCurve();
948 Geom2dAdaptor_Curve& GAC2d = HC2d->ChangeCurve2d();
949 GeomAdaptor_Surface& GAS = HS->ChangeSurface();
950 Standard_Real f3d =0.,l3d =0.;
952 Handle(Geom_Curve) C3d;
954 const Handle(BRep_TEdge)& TE = *((Handle(BRep_TEdge)*) &AnEdge.TShape());
955 BRep_ListOfCurveRepresentation& CList = TE->ChangeCurves();
956 BRep_ListIteratorOfListOfCurveRepresentation It(CList);
958 Standard_Boolean NotDone = Standard_True;
960 while (NotDone && It.More()) {
961 Handle(BRep_GCurve) GCurve = Handle(BRep_GCurve)::DownCast(It.Value());
962 if (!GCurve.IsNull() && GCurve->IsCurve3D()) {
963 C3d = GCurve->Curve3D() ;
964 f3d = GCurve->First();
965 l3d = GCurve->Last();
966 L3d = GCurve->Location() ;
967 NotDone = Standard_False;
972 if(C3d.IsNull()) return;
974 // modified by NIZHNY-OCC486 Tue Aug 27 17:15:13 2002 :
975 Standard_Boolean m_TrimmedPeriodical = Standard_False;
976 Handle(Standard_Type) TheType = C3d->DynamicType();
977 if( TheType == STANDARD_TYPE(Geom_TrimmedCurve))
979 Handle(Geom_Curve) gtC (Handle(Geom_TrimmedCurve)::DownCast (C3d)->BasisCurve());
980 m_TrimmedPeriodical = gtC->IsPeriodic();
982 // modified by NIZHNY-OCC486 Tue Aug 27 17:15:17 2002 .
985 if(!C3d->IsPeriodic()) {
986 Standard_Real Udeb = C3d->FirstParameter();
987 Standard_Real Ufin = C3d->LastParameter();
988 // modified by NIZHNY-OCC486 Tue Aug 27 17:17:14 2002 :
989 //if (Udeb > f3d) f3d = Udeb;
990 //if (l3d > Ufin) l3d = Ufin;
991 if(!m_TrimmedPeriodical)
993 if (Udeb > f3d) f3d = Udeb;
994 if (l3d > Ufin) l3d = Ufin;
996 // modified by NIZHNY-OCC486 Tue Aug 27 17:17:55 2002 .
998 if(!L3d.IsIdentity()){
999 C3d = Handle(Geom_Curve)::DownCast(C3d->Transformed(L3d.Transformation()));
1001 GAC.Load(C3d,f3d,l3d);
1003 Standard_Boolean IsSameP = 1;
1004 Standard_Real maxdist = 0.;
1006 // Modified by skv - Thu Jun 3 12:39:19 2004 OCC5898 Begin
1007 Standard_Real anEdgeTol = BRep_Tool::Tolerance(AnEdge);
1008 // Modified by skv - Thu Jun 3 12:39:20 2004 OCC5898 End
1009 Standard_Boolean SameRange = BRep_Tool::SameRange(AnEdge);
1010 Standard_Boolean YaPCu = Standard_False;
1011 It.Initialize(CList);
1014 Standard_Boolean isANA = Standard_False;
1015 Standard_Boolean isBSP = Standard_False;
1016 Handle(BRep_GCurve) GCurve = Handle(BRep_GCurve)::DownCast(It.Value());
1017 Handle(Geom2d_Curve) PC[2];
1018 Handle(Geom_Surface) S;
1019 if (!GCurve.IsNull() && GCurve->IsCurveOnSurface()) {
1020 YaPCu = Standard_True;
1021 PC[0] = GCurve->PCurve();
1022 TopLoc_Location PCLoc = GCurve->Location();
1023 S = GCurve->Surface();
1024 if (!PCLoc.IsIdentity() ) {
1025 S = Handle(Geom_Surface)::DownCast(S->Transformed(PCLoc.Transformation()));
1029 if (GCurve->IsCurveOnClosedSurface()) {
1030 PC[1] = GCurve->PCurve2();
1033 // Eval tol2d to compute SameRange
1034 Standard_Real UResol = Max(GAS.UResolution(Tolerance), Precision::PConfusion());
1035 Standard_Real VResol = Max(GAS.VResolution(Tolerance), Precision::PConfusion());
1036 Standard_Real Tol2d = Min(UResol, VResol);
1037 for(Standard_Integer i = 0; i < 2; i++){
1038 Handle(Geom2d_Curve) curPC = PC[i];
1039 Standard_Boolean updatepc = 0;
1040 if(curPC.IsNull()) break;
1042 GeomLib::SameRange(Tol2d,
1043 PC[i],GCurve->First(),GCurve->Last(),
1046 updatepc = (curPC != PC[i]);
1049 Standard_Boolean goodpc = 1;
1050 GAC2d.Load(curPC,f3d,l3d);
1052 Standard_Real error = ComputeTol(HC, HC2d, HS, NCONTROL);
1054 if(GAC2d.GetType() == GeomAbs_BSplineCurve &&
1055 GAC2d.Continuity() == GeomAbs_C0) {
1056 Handle(Geom2d_BSplineCurve) bs2d = GAC2d.BSpline();
1057 Handle(Geom2d_BSplineCurve) bs2dsov = bs2d;
1058 Standard_Real fC0 = bs2d->FirstParameter(), lC0 = bs2d->LastParameter();
1059 Standard_Boolean repar = Standard_True;
1060 gp_Pnt2d OriginPoint;
1061 bs2d->D0(fC0, OriginPoint);
1062 Geom2dConvert::C0BSplineToC1BSplineCurve(bs2d, Tol2d);
1063 isBSP = Standard_True;
1065 if(bs2d->IsPeriodic()) { // -------- IFV, Jan 2000
1066 gp_Pnt2d NewOriginPoint;
1067 bs2d->D0(bs2d->FirstParameter(), NewOriginPoint);
1068 if(Abs(OriginPoint.X() - NewOriginPoint.X()) > Precision::PConfusion() ||
1069 Abs(OriginPoint.Y() - NewOriginPoint.Y()) > Precision::PConfusion() ) {
1071 TColStd_Array1OfReal Knotbs2d (1, bs2d->NbKnots());
1072 bs2d->Knots(Knotbs2d);
1074 for(Standard_Integer Index = 1; Index <= bs2d->NbKnots(); Index++) {
1075 bs2d->D0(Knotbs2d(Index), NewOriginPoint);
1076 if(Abs(OriginPoint.X() - NewOriginPoint.X()) > Precision::PConfusion() ||
1077 Abs(OriginPoint.Y() - NewOriginPoint.Y()) > Precision::PConfusion() ) continue;
1079 bs2d->SetOrigin(Index);
1085 if(bs2d->Continuity() == GeomAbs_C0) {
1086 Standard_Real tolbail;
1087 if(EvalTol(curPC,S,GAC,Tolerance,tolbail)){
1089 Standard_Real UResbail = GAS.UResolution(tolbail);
1090 Standard_Real VResbail = GAS.VResolution(tolbail);
1091 Standard_Real Tol2dbail = Min(UResbail,VResbail);
1092 bs2d->D0(bs2d->FirstParameter(), OriginPoint);
1094 Standard_Integer nbp = bs2d->NbPoles();
1095 TColgp_Array1OfPnt2d poles(1,nbp);
1097 gp_Pnt2d p = poles(1), p1;
1098 Standard_Real d = Precision::Infinite();
1099 for(Standard_Integer ip = 2; ip <= nbp; ip++) {
1101 d = Min(d,p.SquareDistance(p1));
1106 Tol2dbail = Max(Min(Tol2dbail,d),Tol2d);
1108 Geom2dConvert::C0BSplineToC1BSplineCurve(bs2d,Tol2dbail);
1110 if(bs2d->IsPeriodic()) { // -------- IFV, Jan 2000
1111 gp_Pnt2d NewOriginPoint;
1112 bs2d->D0(bs2d->FirstParameter(), NewOriginPoint);
1113 if(Abs(OriginPoint.X() - NewOriginPoint.X()) > Precision::PConfusion() ||
1114 Abs(OriginPoint.Y() - NewOriginPoint.Y()) > Precision::PConfusion() ) {
1116 TColStd_Array1OfReal Knotbs2d (1, bs2d->NbKnots());
1117 bs2d->Knots(Knotbs2d);
1119 for(Standard_Integer Index = 1; Index <= bs2d->NbKnots(); Index++) {
1120 bs2d->D0(Knotbs2d(Index), NewOriginPoint);
1121 if(Abs(OriginPoint.X() - NewOriginPoint.X()) > Precision::PConfusion() ||
1122 Abs(OriginPoint.Y() - NewOriginPoint.Y()) > Precision::PConfusion() ) continue;
1124 bs2d->SetOrigin(Index);
1131 if(bs2d->Continuity() == GeomAbs_C0) {
1134 repar = Standard_False;
1142 Standard_Integer NbKnots = bs2d->NbKnots();
1143 TColStd_Array1OfReal Knots(1,NbKnots);
1145 // BSplCLib::Reparametrize(f3d,l3d,Knots);
1146 BSplCLib::Reparametrize(fC0,lC0,Knots);
1147 bs2d->SetKnots(Knots);
1148 GAC2d.Load(bs2d,f3d,l3d);
1150 Standard_Boolean updatepcsov = updatepc;
1151 updatepc = Standard_True;
1153 Standard_Real error1 = ComputeTol(HC, HC2d, HS, NCONTROL);
1154 if(error1 > error) {
1156 GAC2d.Load(bs2d,f3d,l3d);
1158 updatepc = updatepcsov;
1159 isANA = Standard_True;
1166 //check, if new BSpline "good" or not --------- IFV, Jan of 2000
1167 GeomAbs_Shape cont = bs2d->Continuity();
1168 Standard_Boolean IsBad = Standard_False;
1170 if(cont > GeomAbs_C0 && error > Max(1.e-3,Tolerance)) {
1171 Standard_Integer NbKnots = bs2d->NbKnots();
1172 TColStd_Array1OfReal Knots(1,NbKnots);
1174 Standard_Real critratio = 10.;
1175 Standard_Real dtprev = Knots(2) - Knots(1), dtratio = 1.;
1176 Standard_Real dtmin = dtprev;
1177 Standard_Real dtcur;
1178 for(Standard_Integer j = 2; j < NbKnots; j++) {
1179 dtcur = Knots(j+1) - Knots(j);
1180 dtmin = Min(dtmin, dtcur);
1184 if(dtcur > dtprev) dtratio = dtcur/dtprev;
1185 else dtratio = dtprev/dtcur;
1186 if(dtratio > critratio) {IsBad = Standard_True;}
1191 // To avoid failures in Approx_CurvilinearParameter
1192 bs2d->Resolution(Max(1.e-3,Tolerance), dtcur);
1193 if(dtmin < dtcur) IsBad = Standard_False;
1198 if(IsBad ) { //if BSpline "bad", try to reparametrize it
1199 // by its curve length
1201 // GeomAbs_Shape cont = bs2d->Continuity();
1202 if(cont > GeomAbs_C2) cont = GeomAbs_C2;
1203 Standard_Integer maxdeg = bs2d->Degree();
1204 if(maxdeg == 1) maxdeg = 14;
1205 Approx_CurvilinearParameter AppCurPar(HC2d, HS, Max(1.e-3,Tolerance),
1207 if(AppCurPar.IsDone() || AppCurPar.HasResult()) {
1208 bs2d = AppCurPar.Curve2d1();
1209 GAC2d.Load(bs2d,f3d,l3d);
1212 if(Abs(bs2d->FirstParameter() - fC0) > Tol2d ||
1213 Abs(bs2d->LastParameter() - lC0) > Tol2d ) {
1214 Standard_Integer NbKnots = bs2d->NbKnots();
1215 TColStd_Array1OfReal Knots(1,NbKnots);
1217 // BSplCLib::Reparametrize(f3d,l3d,Knots);
1218 BSplCLib::Reparametrize(fC0,lC0,Knots);
1219 bs2d->SetKnots(Knots);
1220 GAC2d.Load(bs2d,f3d,l3d);
1233 // Approx_SameParameter SameP(HC,HC2d,HS,Tolerance);
1234 Standard_Real aTol = (isANA && isBSP) ? 1.e-7 : Tolerance;
1235 const Handle(Adaptor3d_HCurve)& aHCurv = HC; // to avoid ambiguity
1236 const Handle(Adaptor2d_HCurve2d)& aHCurv2d = HC2d; // to avoid ambiguity
1237 Approx_SameParameter SameP(aHCurv,aHCurv2d,HS,aTol);
1239 if (SameP.IsSameParameter()) {
1240 maxdist = Max(maxdist,SameP.TolReached());
1242 if (i == 0) GCurve->PCurve(curPC);
1243 else GCurve->PCurve2(curPC);
1246 else if (SameP.IsDone()) {
1247 Standard_Real tolreached = SameP.TolReached();
1248 if(tolreached < error) {
1249 curPC = SameP.Curve2d();
1250 updatepc = Standard_True;
1251 maxdist = Max(maxdist,tolreached);
1254 maxdist = Max(maxdist, error);
1257 if (i == 0) GCurve->PCurve(curPC);
1258 else GCurve->PCurve2(curPC);
1266 // Modified by skv - Thu Jun 3 12:39:19 2004 OCC5898 Begin
1268 if (anEdgeTol > error) {
1269 maxdist = Max(maxdist, anEdgeTol);
1270 IsSameP = Standard_True;
1273 // Modified by skv - Thu Jun 3 12:39:20 2004 OCC5898 End
1278 B.Range(AnEdge,f3d,l3d);
1279 B.SameRange(AnEdge,Standard_True);
1281 // Reduce eventually the tolerance of the edge, as
1282 // all its representations are processed (except for some associated
1283 // to planes and not stored in the edge !)
1284 // The same cannot be done with vertices that cannot be enlarged
1287 // Avoid setting too small tolerances.
1288 maxdist = Max(maxdist,Precision::Confusion());
1289 TopoDS_Vertex V1,V2;
1290 TopExp::Vertices(AnEdge,V1,V2);
1292 B.UpdateVertex(V1,maxdist);
1294 B.UpdateVertex(V2,maxdist);
1295 TE->Modified(Standard_True);
1296 TE->Tolerance(maxdist);
1298 B.SameParameter(AnEdge,Standard_True);
1302 //=======================================================================
1303 //function : UpdateTolerances
1305 //=======================================================================
1306 void BRepLib::UpdateTolerances(const TopoDS_Shape& aShape,
1307 const Standard_Boolean verifyTolerance)
1310 // Harmonize tolerances
1311 // with rule Tolerance(VERTEX)>=Tolerance(EDGE)>=Tolerance(FACE)
1313 Standard_Real tol=0;
1314 if (verifyTolerance) {
1315 // Set tolerance to its minimum value
1316 Handle(Geom_Surface) S;
1320 Standard_Real aXmin, aYmin, aZmin, aXmax, aYmax, aZmax, dMax;
1321 for (ex.Init(aShape, TopAbs_FACE); ex.More(); ex.Next()) {
1322 const TopoDS_Face& curf=TopoDS::Face(ex.Current());
1323 S = BRep_Tool::Surface(curf, l);
1326 BRepBndLib::Add(curf,aB);
1327 if (S->DynamicType() == STANDARD_TYPE(Geom_RectangularTrimmedSurface)) {
1328 S = Handle(Geom_RectangularTrimmedSurface)::DownCast (S)->BasisSurface();
1330 GeomAdaptor_Surface AS(S);
1331 switch (AS.GetType()) {
1333 case GeomAbs_Cylinder:
1336 tol=Precision::Confusion();
1339 case GeomAbs_Sphere:
1342 tol=Precision::Confusion()*2;
1346 tol=Precision::Confusion()*4;
1348 if (!aB.IsWhole()) {
1349 aB.Get(aXmin, aYmin, aZmin, aXmax, aYmax, aZmax);
1351 if (!aB.IsOpenXmin() && !aB.IsOpenXmax()) dMax=aXmax-aXmin;
1352 if (!aB.IsOpenYmin() && !aB.IsOpenYmax()) aYmin=aYmax-aYmin;
1353 if (!aB.IsOpenZmin() && !aB.IsOpenZmax()) aZmin=aZmax-aZmin;
1354 if (aYmin>dMax) dMax=aYmin;
1355 if (aZmin>dMax) dMax=aZmin;
1357 // Do not process tolerances > 1.
1358 if (tol>1.) tol=0.99;
1360 const Handle(BRep_TFace)& Tf = *((Handle(BRep_TFace)*)&curf.TShape());
1367 TopTools_IndexedDataMapOfShapeListOfShape parents;
1368 TopExp::MapShapesAndAncestors(aShape, TopAbs_EDGE, TopAbs_FACE, parents);
1369 TopTools_ListIteratorOfListOfShape lConx;
1370 Standard_Integer iCur;
1371 for (iCur=1; iCur<=parents.Extent(); iCur++) {
1373 for (lConx.Initialize(parents(iCur)); lConx.More(); lConx.Next()) {
1374 tol=Max(tol, BRep_Tool::Tolerance(TopoDS::Face(lConx.Value())));
1376 // Update can only increase tolerance, so if the edge has a greater
1377 // tolerance than its faces it is not concerned
1378 B.UpdateEdge(TopoDS::Edge(parents.FindKey(iCur)), tol);
1381 //Vertices are processed
1383 TopExp::MapShapesAndAncestors(aShape, TopAbs_VERTEX, TopAbs_EDGE, parents);
1384 TColStd_MapOfTransient Initialized;
1385 TopTools_MapOfShape Done;
1386 Standard_Integer nbV = parents.Extent();
1387 for (iCur=1; iCur<=nbV; iCur++) {
1390 const TopoDS_Vertex& V = TopoDS::Vertex(parents.FindKey(iCur));
1392 box.Add(BRep_Tool::Pnt(V));
1394 for (lConx.Initialize(parents(iCur)); lConx.More(); lConx.Next()) {
1395 const TopoDS_Edge& E = TopoDS::Edge(lConx.Value());
1396 if(!Done.Add(E)) continue;
1397 tol=Max(tol, BRep_Tool::Tolerance(E));
1398 if(!BRep_Tool::SameRange(E)) continue;
1399 Standard_Real par = BRep_Tool::Parameter(V,E);
1400 Handle(BRep_TEdge)& TE = *((Handle(BRep_TEdge)*)&E.TShape());
1401 BRep_ListIteratorOfListOfCurveRepresentation itcr(TE->Curves());
1402 const TopLoc_Location& Eloc = E.Location();
1403 while (itcr.More()) {
1404 // For each CurveRepresentation, check the provided parameter
1405 const Handle(BRep_CurveRepresentation)& cr = itcr.Value();
1406 const TopLoc_Location& loc = cr->Location();
1407 TopLoc_Location L = (Eloc * loc);
1408 if (cr->IsCurve3D()) {
1409 const Handle(Geom_Curve)& C = cr->Curve3D();
1410 if (!C.IsNull()) { // edge non degenerated
1411 p3d = C->Value(par);
1412 p3d.Transform(L.Transformation());
1416 else if (cr->IsCurveOnSurface()) {
1417 const Handle(Geom_Surface)& Su = cr->Surface();
1418 const Handle(Geom2d_Curve)& PC = cr->PCurve();
1419 Handle(Geom2d_Curve) PC2;
1420 if (cr->IsCurveOnClosedSurface()) {
1421 PC2 = cr->PCurve2();
1423 gp_Pnt2d p2d = PC->Value(par);
1424 p3d = Su->Value(p2d.X(),p2d.Y());
1425 p3d.Transform(L.Transformation());
1427 if (!PC2.IsNull()) {
1428 p2d = PC2->Value(par);
1429 p3d = Su->Value(p2d.X(),p2d.Y());
1430 p3d.Transform(L.Transformation());
1437 Standard_Real aXmin, aYmin, aZmin, aXmax, aYmax, aZmax;
1438 box.Get(aXmin, aYmin, aZmin, aXmax, aYmax, aZmax);
1439 aXmax -= aXmin; aYmax -= aYmin; aZmax -= aZmin;
1440 tol = Max(tol,sqrt(aXmax*aXmax+aYmax*aYmax+aZmax*aZmax));
1441 tol += 2.*Epsilon(tol);
1442 if (verifyTolerance) {
1443 // ASet minimum value of the tolerance
1444 // Attention to sharing of the vertex by other shapes
1445 const Handle(BRep_TVertex)& TV = *((Handle(BRep_TVertex)*)&V.TShape());
1446 if (Initialized.Add(TV))
1449 B.UpdateVertex(V, tol);
1452 // Update can only increase tolerance, so if the edge has a greater
1453 // tolerance than its faces it is not concerned
1454 B.UpdateVertex(V, tol);
1459 //=======================================================================
1460 //function : OrientClosedSolid
1462 //=======================================================================
1463 Standard_Boolean BRepLib::OrientClosedSolid(TopoDS_Solid& solid)
1465 // Set material inside the solid
1466 BRepClass3d_SolidClassifier where(solid);
1467 where.PerformInfinitePoint(Precision::Confusion());
1468 if (where.State()==TopAbs_IN) {
1471 else if (where.State()==TopAbs_ON || where.State()==TopAbs_UNKNOWN)
1472 return Standard_False;
1474 return Standard_True;
1477 //=======================================================================
1478 //function : tgtfaces
1479 //purpose : check the angle at the border between two squares.
1480 // Two shares should have a shared front edge.
1481 //=======================================================================
1483 static Standard_Boolean tgtfaces(const TopoDS_Edge& Ed,
1484 const TopoDS_Face& F1,
1485 const TopoDS_Face& F2,
1486 const Standard_Real ta,
1487 const Standard_Boolean couture)
1489 // Check if pcurves exist on both faces of edge
1490 Standard_Real aFirst,aLast;
1491 Handle(Geom2d_Curve) aCurve;
1492 aCurve = BRep_Tool::CurveOnSurface(Ed,F1,aFirst,aLast);
1494 return Standard_False;
1495 aCurve = BRep_Tool::CurveOnSurface(Ed,F2,aFirst,aLast);
1497 return Standard_False;
1501 BRepAdaptor_Surface aBAS1(F1,Standard_False);
1502 BRepAdaptor_Surface aBAS2(F2,Standard_False);
1503 Handle(BRepAdaptor_HSurface) HS1 = new BRepAdaptor_HSurface(aBAS1);
1504 Handle(BRepAdaptor_HSurface) HS2;
1505 if(couture) HS2 = HS1;
1506 else HS2 = new BRepAdaptor_HSurface(aBAS2);
1508 E.Orientation(TopAbs_FORWARD);
1509 Handle(BRepAdaptor_HCurve2d) HC2d1 = new BRepAdaptor_HCurve2d();
1510 HC2d1->ChangeCurve2d().Initialize(E,F1);
1511 if(couture) E.Orientation(TopAbs_REVERSED);
1512 Handle(BRepAdaptor_HCurve2d) HC2d2 = new BRepAdaptor_HCurve2d();
1513 HC2d2->ChangeCurve2d().Initialize(E,F2);
1514 Adaptor3d_CurveOnSurface C1(HC2d1,HS1);
1515 Adaptor3d_CurveOnSurface C2(HC2d2,HS2);
1517 Standard_Boolean rev1 = (F1.Orientation() == TopAbs_REVERSED);
1518 Standard_Boolean rev2 = (F2.Orientation() == TopAbs_REVERSED);
1519 Standard_Real f,l,eps, angmax = -M_PI;
1520 Standard_Real ang =0.;
1521 BRep_Tool::Range(E,f,l);
1522 Extrema_LocateExtPC ext;
1523 Standard_Boolean IsInitialized = Standard_False;
1526 f += eps; // to avoid calculations on
1527 l -= eps; // points of pointed squares.
1529 gp_Pnt pp1,pp2;//,PP;
1532 Standard_Real uu, vv, norm;
1535 Standard_Boolean Nok;
1536 for(i = 0; (i<= 20) && (angmax<=ta) ; i++){
1537 // First suppose that this is sameParameter
1538 Nok = Standard_True;
1541 HS1->D1(p.X(),p.Y(),pp1,du,dv);
1542 d1 = (du.Crossed(dv));
1543 norm = d1.Magnitude();
1544 if (norm > 1.e-12) d1 /= norm;
1545 else Nok=Standard_False;
1546 if(rev1) d1.Reverse();
1549 HS2->D1(p.X(), p.Y(), pp2, du, dv);
1550 d2 = (du.Crossed(dv));
1551 norm = d2.Magnitude();
1552 if (norm> 1.e-12) d2 /= norm;
1553 else Nok=Standard_False;
1554 if(rev2) d2.Reverse();
1555 if (Nok) ang = d1.Angle(d2);
1557 if (Nok &&(ang > ta)) { // Refine by projection
1558 if (! IsInitialized ) {
1559 ext.Initialize(C2,f,l,Precision::PConfusion());
1560 IsInitialized = Standard_True;
1563 if(ext.IsDone() && ext.IsMin()){
1564 Extrema_POnCurv poc = ext.Point();
1565 Standard_Real v = poc.Parameter();
1569 HS2->D1(p.X(), p.Y(), pp2, du, dv);
1570 d2 = (du.Crossed(dv));
1571 norm = d2.Magnitude();
1572 if (norm> 1.e-12) d2 /= norm;
1573 else Nok = Standard_False;
1574 if(rev2) d2.Reverse();
1575 if (Nok) ang = d1.Angle(d2);
1578 if(ang >= angmax) angmax = ang;
1581 return (angmax<=ta);
1586 //=======================================================================
1587 // function : EncodeRegularity
1588 // purpose : code the regularities on all edges of the shape, boundary of
1589 // two faces that do not have it.
1590 //=======================================================================
1592 void BRepLib::EncodeRegularity(const TopoDS_Shape& S,
1593 const Standard_Real TolAng)
1596 TopTools_IndexedDataMapOfShapeListOfShape M;
1597 TopExp::MapShapesAndAncestors(S,TopAbs_EDGE,TopAbs_FACE,M);
1598 TopTools_ListIteratorOfListOfShape It;
1601 Standard_Boolean found, couture;
1602 for(Standard_Integer i = 1; i <= M.Extent(); i++){
1603 TopoDS_Edge E = TopoDS::Edge(M.FindKey(i));
1604 found = Standard_False; couture = Standard_False;
1606 for(It.Initialize(M.FindFromIndex(i));It.More() && !found;It.Next()){
1607 if(F1.IsNull()) { F1 = TopoDS::Face(It.Value()); }
1609 if(!F1.IsSame(TopoDS::Face(It.Value()))){
1610 found = Standard_True;
1611 F2 = TopoDS::Face(It.Value());
1615 if (!found && !F1.IsNull()){//is it a sewing edge?
1616 TopAbs_Orientation orE = E.Orientation();
1618 for(Ex.Init(F1,TopAbs_EDGE);Ex.More() && !found;Ex.Next()){
1619 curE= TopoDS::Edge(Ex.Current());
1620 if(E.IsSame(curE) && orE != curE.Orientation()) {
1621 found = Standard_True;
1622 couture = Standard_True;
1628 if(BRep_Tool::Continuity(E,F1,F2)<=GeomAbs_C0){
1631 if(tgtfaces(E, F1, F2, TolAng, couture)){
1632 B.Continuity(E,F1,F2,GeomAbs_G1);
1635 catch(Standard_Failure)
1643 //=======================================================================
1644 // function : EncodeRegularity
1645 // purpose : code the regularity between 2 faces on an edge
1646 //=======================================================================
1648 void BRepLib::EncodeRegularity(TopoDS_Edge& E,
1649 const TopoDS_Face& F1,
1650 const TopoDS_Face& F2,
1651 const Standard_Real TolAng)
1654 if(BRep_Tool::Continuity(E,F1,F2)<=GeomAbs_C0){
1656 if( tgtfaces(E, F1, F2, TolAng, F1.IsEqual(F2))) {
1657 B.Continuity(E,F1,F2,GeomAbs_G1);
1660 catch(Standard_Failure)
1666 //=======================================================================
1667 // function : EnsureNormalConsistency
1668 // purpose : Corrects the normals in Poly_Triangulation of faces.
1669 // Returns TRUE if any correction is done.
1670 //=======================================================================
1671 Standard_Boolean BRepLib::
1672 EnsureNormalConsistency(const TopoDS_Shape& theShape,
1673 const Standard_Real theAngTol,
1674 const Standard_Boolean theForceComputeNormals)
1676 const Standard_Real aThresDot = cos(theAngTol);
1678 Standard_Boolean aRetVal = Standard_False, isNormalsFound = Standard_False;
1680 // compute normals if they are absent
1681 TopExp_Explorer anExpFace(theShape,TopAbs_FACE);
1682 for (; anExpFace.More(); anExpFace.Next())
1684 const TopoDS_Face& aFace = TopoDS::Face(anExpFace.Current());
1685 const Handle(Geom_Surface) aSurf = BRep_Tool::Surface(aFace);
1688 TopLoc_Location aLoc;
1689 const Handle(Poly_Triangulation)& aPT = BRep_Tool::Triangulation(aFace, aLoc);
1692 if (!theForceComputeNormals && aPT->HasNormals())
1694 isNormalsFound = Standard_True;
1698 GeomLProp_SLProps aSLP(aSurf, 2, Precision::Confusion());
1699 const Standard_Integer anArrDim = 3*aPT->NbNodes();
1700 Handle(TShort_HArray1OfShortReal) aNormArr = new TShort_HArray1OfShortReal(1, anArrDim);
1701 Standard_Integer anNormInd = aNormArr->Lower();
1702 for(Standard_Integer i = aPT->UVNodes().Lower(); i <= aPT->UVNodes().Upper(); i++)
1704 const gp_Pnt2d &aP2d = aPT->UVNodes().Value(i);
1705 aSLP.SetParameters(aP2d.X(), aP2d.Y());
1707 gp_XYZ aNorm(0.,0.,0.);
1708 if(!aSLP.IsNormalDefined())
1711 cout << "BRepLib::EnsureNormalConsistency(): Cannot find normal!" << endl;
1716 aNorm = aSLP.Normal().XYZ();
1717 if (aFace.Orientation() == TopAbs_REVERSED)
1720 aNormArr->ChangeValue(anNormInd++) = static_cast<Standard_ShortReal>(aNorm.X());
1721 aNormArr->ChangeValue(anNormInd++) = static_cast<Standard_ShortReal>(aNorm.Y());
1722 aNormArr->ChangeValue(anNormInd++) = static_cast<Standard_ShortReal>(aNorm.Z());
1725 aRetVal = Standard_True;
1726 isNormalsFound = Standard_True;
1727 aPT->SetNormals(aNormArr);
1736 TopTools_IndexedDataMapOfShapeListOfShape aMapEF;
1737 TopExp::MapShapesAndAncestors(theShape,TopAbs_EDGE,TopAbs_FACE,aMapEF);
1738 for(Standard_Integer anInd = 1; anInd <= aMapEF.Extent(); anInd++)
1740 const TopoDS_Edge& anEdg = TopoDS::Edge(aMapEF.FindKey(anInd));
1741 const TopTools_ListOfShape& anEdgList = aMapEF.FindFromIndex(anInd);
1742 if (anEdgList.Extent() != 2)
1744 TopTools_ListIteratorOfListOfShape anItF(anEdgList);
1745 const TopoDS_Face aFace1 = TopoDS::Face(anItF.Value());
1747 const TopoDS_Face aFace2 = TopoDS::Face(anItF.Value());
1748 TopLoc_Location aLoc1, aLoc2;
1749 const Handle(Poly_Triangulation)& aPT1 = BRep_Tool::Triangulation(aFace1, aLoc1);
1750 const Handle(Poly_Triangulation)& aPT2 = BRep_Tool::Triangulation(aFace2, aLoc2);
1752 if(aPT1.IsNull() || aPT2.IsNull())
1755 if(!aPT1->HasNormals() || !aPT2->HasNormals())
1758 const Handle(Poly_PolygonOnTriangulation)& aPTEF1 =
1759 BRep_Tool::PolygonOnTriangulation(anEdg, aPT1, aLoc1);
1760 const Handle(Poly_PolygonOnTriangulation)& aPTEF2 =
1761 BRep_Tool::PolygonOnTriangulation(anEdg, aPT2, aLoc2);
1763 TShort_Array1OfShortReal& aNormArr1 = aPT1->ChangeNormals();
1764 TShort_Array1OfShortReal& aNormArr2 = aPT2->ChangeNormals();
1766 for(Standard_Integer anEdgNode = aPTEF1->Nodes().Lower();
1767 anEdgNode <= aPTEF1->Nodes().Upper(); anEdgNode++)
1770 const Standard_Integer aFNodF1 = aPTEF1->Nodes().Value(anEdgNode);
1771 const Standard_Integer aFNodF2 = aPTEF2->Nodes().Value(anEdgNode);
1773 const Standard_Integer aFNorm1FirstIndex = aNormArr1.Lower() + 3*
1774 (aFNodF1 - aPT1->Nodes().Lower());
1775 const Standard_Integer aFNorm2FirstIndex = aNormArr2.Lower() + 3*
1776 (aFNodF2 - aPT2->Nodes().Lower());
1778 gp_XYZ aNorm1(aNormArr1.Value(aFNorm1FirstIndex),
1779 aNormArr1.Value(aFNorm1FirstIndex+1),
1780 aNormArr1.Value(aFNorm1FirstIndex+2));
1781 gp_XYZ aNorm2(aNormArr2.Value(aFNorm2FirstIndex),
1782 aNormArr2.Value(aFNorm2FirstIndex+1),
1783 aNormArr2.Value(aFNorm2FirstIndex+2));
1784 const Standard_Real aDot = aNorm1 * aNorm2;
1786 if(aDot > aThresDot)
1788 gp_XYZ aNewNorm = (aNorm1 + aNorm2).Normalized();
1789 aNormArr1.ChangeValue(aFNorm1FirstIndex) =
1790 aNormArr2.ChangeValue(aFNorm2FirstIndex) =
1791 static_cast<Standard_ShortReal>(aNewNorm.X());
1792 aNormArr1.ChangeValue(aFNorm1FirstIndex+1) =
1793 aNormArr2.ChangeValue(aFNorm2FirstIndex+1) =
1794 static_cast<Standard_ShortReal>(aNewNorm.Y());
1795 aNormArr1.ChangeValue(aFNorm1FirstIndex+2) =
1796 aNormArr2.ChangeValue(aFNorm2FirstIndex+2) =
1797 static_cast<Standard_ShortReal>(aNewNorm.Z());
1798 aRetVal = Standard_True;
1806 //=======================================================================
1807 //function : SortFaces
1809 //=======================================================================
1811 void BRepLib::SortFaces (const TopoDS_Shape& Sh,
1812 TopTools_ListOfShape& LF)
1815 TopTools_ListOfShape LTri,LPlan,LCyl,LCon,LSphere,LTor,LOther;
1816 TopExp_Explorer exp(Sh,TopAbs_FACE);
1818 Handle(Geom_Surface) S;
1820 for (; exp.More(); exp.Next()) {
1821 const TopoDS_Face& F = TopoDS::Face(exp.Current());
1822 S = BRep_Tool::Surface(F, l);
1824 if (S->DynamicType() == STANDARD_TYPE(Geom_RectangularTrimmedSurface)) {
1825 S = Handle(Geom_RectangularTrimmedSurface)::DownCast (S)->BasisSurface();
1827 GeomAdaptor_Surface AS(S);
1828 switch (AS.GetType()) {
1834 case GeomAbs_Cylinder:
1844 case GeomAbs_Sphere:
1858 else LTri.Append(F);
1860 LF.Append(LPlan); LF.Append(LCyl ); LF.Append(LCon); LF.Append(LSphere);
1861 LF.Append(LTor ); LF.Append(LOther); LF.Append(LTri);
1864 //=======================================================================
1865 //function : ReverseSortFaces
1867 //=======================================================================
1869 void BRepLib::ReverseSortFaces (const TopoDS_Shape& Sh,
1870 TopTools_ListOfShape& LF)
1873 TopTools_ListOfShape LTri,LPlan,LCyl,LCon,LSphere,LTor,LOther;
1874 TopExp_Explorer exp(Sh,TopAbs_FACE);
1876 Handle(Geom_Surface) S;
1878 for (; exp.More(); exp.Next()) {
1879 const TopoDS_Face& F = TopoDS::Face(exp.Current());
1880 S = BRep_Tool::Surface(F, l);
1882 if (S->DynamicType() == STANDARD_TYPE(Geom_RectangularTrimmedSurface)) {
1883 S = Handle(Geom_RectangularTrimmedSurface)::DownCast (S)->BasisSurface();
1885 GeomAdaptor_Surface AS(S);
1886 switch (AS.GetType()) {
1892 case GeomAbs_Cylinder:
1902 case GeomAbs_Sphere:
1916 else LTri.Append(F);
1918 LF.Append(LTri); LF.Append(LOther); LF.Append(LTor ); LF.Append(LSphere);
1919 LF.Append(LCon); LF.Append(LCyl ); LF.Append(LPlan);