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0024428: Implementation of LGPL license
[occt.git] / src / BRepBlend / BRepBlend_RstRstConstRad.cxx
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1// Created on: 1997-02-10
2// Created by: Jacques GOUSSARD
3// Copyright (c) 1997-1999 Matra Datavision
4// Copyright (c) 1999-2014 OPEN CASCADE SAS
5//
6// This file is part of Open CASCADE Technology software library.
7//
8// This library is free software; you can redistribute it and / or modify it
9// under the terms of the GNU Lesser General Public 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.
13//
14// Alternatively, this file may be used under the terms of Open CASCADE
15// commercial license or contractual agreement.
16
17#include <BRepBlend_RstRstConstRad.ixx>
18#include <math_Gauss.hxx>
19#include <math_SVD.hxx>
20
21#include <ElCLib.hxx>
22#include <gp.hxx>
23#include <BlendFunc.hxx>
24#include <GeomFill.hxx>
25#include <Standard_DomainError.hxx>
26#include <Standard_NotImplemented.hxx>
27#include <Precision.hxx>
28
29#define Eps 1.e-15
30
31static void t3dto2d(Standard_Real& a,
32 Standard_Real& b,
33 const gp_Vec& A,
34 const gp_Vec& B,
35 const gp_Vec& C)
36{
37 Standard_Real AB = A.Dot(B);
38 Standard_Real AC = A.Dot(C);
39 Standard_Real BC = B.Dot(C);
40 Standard_Real BB = B.Dot(B);
41 Standard_Real CC = C.Dot(C);
42 Standard_Real deno = (BB*CC-BC*BC);
43 a = (AB*CC-AC*BC)/deno;
44 b = (AC*BB-AB*BC)/deno;
45}
46
47//=======================================================================
48//function : BRepBlend_RstRstConstRad
49//purpose :
50//=======================================================================
51
52BRepBlend_RstRstConstRad::BRepBlend_RstRstConstRad
53(const Handle(Adaptor3d_HSurface)& Surf1,
54 const Handle(Adaptor2d_HCurve2d)& Rst1,
55 const Handle(Adaptor3d_HSurface)& Surf2,
56 const Handle(Adaptor2d_HCurve2d)& Rst2,
57 const Handle(Adaptor3d_HCurve)& CGuide):
58 surf1(Surf1), surf2(Surf2), rst1(Rst1), rst2(Rst2),
59 cons1(Rst1, Surf1), cons2(Rst2, Surf2),
60 guide(CGuide), tguide(CGuide),
61 istangent(Standard_True), maxang(RealFirst()), minang(RealLast()),
62 distmin(RealLast()),
63 mySShape(BlendFunc_Rational)
64{}
65
66//=======================================================================
67//function : NbVariables
68//purpose :
69//=======================================================================
70
71Standard_Integer BRepBlend_RstRstConstRad::NbVariables() const
72{
73 return 2;
74}
75
76//=======================================================================
77//function : NbEquations
78//purpose :
79//=======================================================================
80
81Standard_Integer BRepBlend_RstRstConstRad::NbEquations() const
82{
83 return 2;
84}
85
86//=======================================================================
87//function : Value
88//purpose :
89//=======================================================================
90
91Standard_Boolean BRepBlend_RstRstConstRad::Value(const math_Vector& X,
92 math_Vector& F)
93{
94 ptrst1 = cons1.Value(X(1));
95 ptrst2 = cons2.Value(X(2));
96
97 F(1) = nplan.XYZ().Dot(ptrst1.XYZ()) + theD;
98 F(2) = nplan.XYZ().Dot(ptrst2.XYZ()) + theD;
99
100 return Standard_True;
101}
102
103//=======================================================================
104//function : Derivatives
105//purpose :
106//=======================================================================
107
108Standard_Boolean BRepBlend_RstRstConstRad::Derivatives(const math_Vector& X,
109 math_Matrix& D)
110{
111 gp_Vec d11, d21;
112
113 cons1.D1(X(1), ptrst1, d11);
114 cons2.D1(X(2), ptrst2, d21);
115
116 D(1,1) = nplan.Dot(d11);
117 D(1,2) = 0.;
118
119 D(2,1) = 0.;
120 D(2,2) = nplan.Dot(d21);
121
122 return Standard_True;
123}
124
125//=======================================================================
126//function : Values
127//purpose :
128//=======================================================================
129
130Standard_Boolean BRepBlend_RstRstConstRad::Values(const math_Vector& X,
131 math_Vector& F,
132 math_Matrix& D)
133{
134 Standard_Boolean Error;
135
136 Error = Value(X, F);
137 Error = Derivatives(X, D);
138
139 return Standard_True;
140}
141
142//=======================================================================
143//function : Set
144//purpose :
145//=======================================================================
146
147void BRepBlend_RstRstConstRad::Set(const Handle(Adaptor3d_HSurface)& SurfRef1,
148 const Handle(Adaptor2d_HCurve2d)& RstRef1,
149 const Handle(Adaptor3d_HSurface)& SurfRef2,
150 const Handle(Adaptor2d_HCurve2d)& RstRef2)
151{
152 surfref1 = SurfRef1;
153 surfref2 = SurfRef2;
154 rstref1 = RstRef1;
155 rstref2 = RstRef2;
156}
157
158//=======================================================================
159//function : Set
160//purpose :
161//=======================================================================
162
163void BRepBlend_RstRstConstRad::Set(const Standard_Real Param)
164{
165 tguide->D2(Param, ptgui, d1gui, d2gui);
166 normtg = d1gui.Magnitude();
167 nplan = d1gui.Normalized();
168 theD = - (nplan.XYZ().Dot(ptgui.XYZ()));
169}
170
171//=======================================================================
172//function : Set
173//purpose :
174//=======================================================================
175
176void BRepBlend_RstRstConstRad::Set(const Standard_Real First,
177 const Standard_Real Last)
178{
179 tguide = guide->Trim(First, Last, 1.e-12);
180}
181
182//=======================================================================
183//function : GetTolerance
184//purpose :
185//=======================================================================
186
187void BRepBlend_RstRstConstRad::GetTolerance(math_Vector& Tolerance,
188 const Standard_Real Tol) const
189{
190 Tolerance(1) = cons1.Resolution(Tol);
191 Tolerance(2) = cons2.Resolution(Tol);
192}
193
194//=======================================================================
195//function : GetBounds
196//purpose :
197//=======================================================================
198
199void BRepBlend_RstRstConstRad::GetBounds(math_Vector& InfBound,
200 math_Vector& SupBound) const
201{
202 InfBound(1) = cons1.FirstParameter();
203 InfBound(2) = cons2.FirstParameter();
204 SupBound(1) = cons1.LastParameter();
205 SupBound(2) = cons2.LastParameter();
206
207}
208
209//=======================================================================
210//function : IsSolution
211//purpose :
212//=======================================================================
213
214Standard_Boolean BRepBlend_RstRstConstRad::IsSolution(const math_Vector& Sol,
215 const Standard_Real Tol)
216
217
218{
219 math_Vector valsol(1, 2), secmember(1, 2);
220 math_Matrix gradsol(1, 2, 1, 2);
221
222 gp_Vec dnplan, d1urst1, d1vrst1, d1urst2, d1vrst2, d11, d21, temp;
223 gp_Pnt bid;
224
225 Standard_Real Cosa, Sina, Angle;
226
227 Values(Sol, valsol, gradsol);
228
229 if (Abs(valsol(1)) <= Tol &&
230 Abs(valsol(2)) <= Tol ) {
231
232 // Calculation of tangents
233 prmrst1 = Sol(1);
234 pt2drst1 = rst1->Value(prmrst1);
235 prmrst2 = Sol(2);
236 pt2drst2 = rst2->Value(prmrst2);
237
238 cons1.D1(Sol(1), ptrst1, d11);
239 cons2.D1(Sol(2), ptrst2, d21);
240
241 dnplan.SetLinearForm(1./normtg, d2gui,
242 -1./normtg * (nplan.Dot(d2gui)), nplan);
243
244 temp.SetXYZ(ptrst1.XYZ() - ptgui.XYZ());
245 secmember(1) = normtg - dnplan.Dot(temp);
246
247 temp.SetXYZ(ptrst2.XYZ() - ptgui.XYZ());
248 secmember(2) = normtg - dnplan.Dot(temp);
249
250 math_Gauss Resol(gradsol);
251
252 if (Resol.IsDone()) {
253 Resol.Solve(secmember);
254 istangent = Standard_False;
255 }
256 else {
257 math_SVD SingRS (gradsol);
258 if (SingRS.IsDone()) {
259 math_Vector DEDT(1,3);
260 DEDT = secmember;
261 SingRS.Solve(DEDT, secmember, 1.e-6);
262 istangent = Standard_False;
263 }
264 else istangent = Standard_True;
265 }
266
267
268 if (!istangent) {
269 tgrst1 = secmember(1) * d11;
270 tgrst2 = secmember(2) * d21;
271
272 Standard_Real a, b;
273 surf1->D1(pt2drst1.X(), pt2drst1.Y(), bid, d1urst1, d1vrst1);
274 t3dto2d(a, b, tgrst1, d1urst1, d1vrst1);
275 tg2drst1.SetCoord(a, b);
276 surf2->D1(pt2drst2.X(), pt2drst2.Y(), bid, d1urst2, d1vrst2);
277 t3dto2d(a, b, tgrst1, d1urst2, d1vrst2);
278 tg2drst2.SetCoord(a, b);
279 }
280
281 gp_Pnt Center;
282 gp_Vec NotUsed;
283 Standard_Boolean IsCenter;
284
285 IsCenter = CenterCircleRst1Rst2(ptrst1, ptrst2, nplan, Center, NotUsed);
286
287 if (!IsCenter) return Standard_False;
288
289 gp_Vec n1(Center, ptrst1) , n2(Center, ptrst2);
290
291 n1.Normalize();
292 n2.Normalize();
293
294 Cosa = n1.Dot(n2);
295 Sina = nplan.Dot(n1.Crossed(n2));
296
297 if (choix%2 != 0) {
298 Sina = -Sina; //nplan is changed into -nplan
299 }
300
301 Angle = ACos(Cosa);
302 if (Sina < 0.) {
303 Angle = 2.*M_PI - Angle;
304 }
305
306 if (Angle > maxang) {maxang = Angle;}
307 if (Angle < minang) {minang = Angle;}
308 distmin = Min( distmin, ptrst1.Distance(ptrst2));
309
310 return Standard_True;
311 }
312 istangent = Standard_True;
313 return Standard_False;
314}
315
316//=======================================================================
317//function : GetMinimalDistance
318//purpose :
319//=======================================================================
320
321Standard_Real BRepBlend_RstRstConstRad::GetMinimalDistance() const
322{
323 return distmin;
324}
325
326//=======================================================================
327//function : PointOnRst1
328//purpose :
329//=======================================================================
330
331const gp_Pnt& BRepBlend_RstRstConstRad::PointOnRst1() const
332{
333 return ptrst1;
334}
335
336//=======================================================================
337//function : PointOnRst2
338//purpose :
339//=======================================================================
340
341const gp_Pnt& BRepBlend_RstRstConstRad::PointOnRst2() const
342{
343 return ptrst2;
344}
345
346//=======================================================================
347//function : Pnt2dOnRst1
348//purpose :
349//=======================================================================
350
351const gp_Pnt2d& BRepBlend_RstRstConstRad::Pnt2dOnRst1() const
352{
353 return pt2drst1;
354}
355
356//=======================================================================
357//function : Pnt2dOnRst2
358//purpose :
359//=======================================================================
360
361const gp_Pnt2d& BRepBlend_RstRstConstRad::Pnt2dOnRst2() const
362{
363 return pt2drst2;
364}
365
366//=======================================================================
367//function : ParameterOnRst1
368//purpose :
369//=======================================================================
370
371Standard_Real BRepBlend_RstRstConstRad::ParameterOnRst1() const
372{
373 return prmrst1;
374}
375
376//=======================================================================
377//function : ParameterOnRst2
378//purpose :
379//=======================================================================
380
381Standard_Real BRepBlend_RstRstConstRad::ParameterOnRst2() const
382{
383 return prmrst2;
384}
385//=======================================================================
386//function : IsTangencyPoint
387//purpose :
388//=======================================================================
389
390Standard_Boolean BRepBlend_RstRstConstRad::IsTangencyPoint() const
391{
392 return istangent;
393}
394
395//=======================================================================
396//function : TangentOnRst1
397//purpose :
398//=======================================================================
399
400const gp_Vec& BRepBlend_RstRstConstRad::TangentOnRst1() const
401{
402 if (istangent) {Standard_DomainError::Raise();}
403 return tgrst1;
404}
405
406//=======================================================================
407//function : Tangent2dOnRst1
408//purpose :
409//=======================================================================
410
411const gp_Vec2d& BRepBlend_RstRstConstRad::Tangent2dOnRst1() const
412{
413 if (istangent) {Standard_DomainError::Raise();}
414 return tg2drst1;
415}
416
417//=======================================================================
418//function : TangentOnRst2
419//purpose :
420//=======================================================================
421
422const gp_Vec& BRepBlend_RstRstConstRad::TangentOnRst2() const
423{
424 if (istangent) {Standard_DomainError::Raise();}
425 return tgrst2;
426}
427
428//=======================================================================
429//function : Tangent2dOnRst2
430//purpose :
431//=======================================================================
432
433const gp_Vec2d& BRepBlend_RstRstConstRad::Tangent2dOnRst2() const
434{
435 if (istangent) {Standard_DomainError::Raise();}
436 return tg2drst2;
437}
438
439//=======================================================================
440//function : Decroch
441//purpose :
442//=======================================================================
443
444Blend_DecrochStatus BRepBlend_RstRstConstRad::Decroch(const math_Vector& Sol,
445 gp_Vec& NRst1,
446 gp_Vec& TgRst1,
447 gp_Vec& NRst2,
448 gp_Vec& TgRst2)const
449{
450 gp_Vec NRst1InPlane, NRst2InPlane;
451 gp_Pnt PtTmp1, PtTmp2, Center;
452 gp_Vec d1u, d1v, centptrst, NotUsed;
453 Standard_Real norm, unsurnorm;
454 Standard_Real u,v;
455
456 rstref1->Value(Sol(1)).Coord(u, v);
457 surfref1->D1(u, v,PtTmp1,d1u,d1v);
458 // Normal to the reference surface 1
459 NRst1 = d1u.Crossed(d1v);
460 rstref2->Value(Sol(2)).Coord(u, v);
461 surfref2->D1(u, v, PtTmp2, d1u, d1v);
462 // Normal to the reference surface 2
463 NRst2 = d1u.Crossed(d1v);
464
465 Standard_Boolean IsCenter;
466
467 IsCenter = CenterCircleRst1Rst2(PtTmp1, PtTmp2, nplan, Center, NotUsed);
468
469 norm = nplan.Crossed(NRst1).Magnitude();
470 unsurnorm = 1. / norm;
471
472 NRst1InPlane.SetLinearForm(nplan.Dot(NRst1) * unsurnorm, nplan, -unsurnorm, NRst1);
473
474 centptrst.SetXYZ(PtTmp1.XYZ() - Center.XYZ());
475
476 if (centptrst.Dot(NRst1InPlane) < 0.) NRst1InPlane.Reverse();
477
478 TgRst1 = nplan.Crossed(centptrst);
479
480 norm = nplan.Crossed(NRst2).Magnitude();
481 unsurnorm = 1./ norm;
482 NRst2InPlane.SetLinearForm(nplan.Dot(NRst2) * unsurnorm, nplan, -unsurnorm, NRst2);
483 centptrst.SetXYZ(PtTmp2.XYZ() - Center.XYZ());
484
485
486 if (centptrst.Dot(NRst2InPlane) < 0.) NRst2InPlane.Reverse();
487
488 TgRst2 = nplan.Crossed(centptrst);
489
490 if (choix %2 != 0) {
491 TgRst1.Reverse();
492 TgRst2.Reverse();
493 }
494
495 // The vectors are returned
496 if (NRst1InPlane.Dot(TgRst1) > -1.e-10) {
497 if (NRst2InPlane.Dot(TgRst2) < 1.e-10) {
498 return Blend_DecrochBoth;
499 }
500 else {
501 return Blend_DecrochRst1;
502 }
503 }
504 else {
505 if (NRst2InPlane.Dot(TgRst2) < 1.e-10) {
506 return Blend_DecrochRst2;
507 }
508 else {
509 return Blend_NoDecroch;
510 }
511 }
512
513}
514
515//=======================================================================
516//function : Set
517//purpose :
518//=======================================================================
519
520void BRepBlend_RstRstConstRad::Set(const Standard_Real Radius,
521 const Standard_Integer Choix)
522{
523 choix = Choix;
524 ray = Abs(Radius);
525
526}
527
528//=======================================================================
529//function : Set
530//purpose :
531//=======================================================================
532
533void BRepBlend_RstRstConstRad::Set(const BlendFunc_SectionShape TypeSection)
534{
535 mySShape = TypeSection;
536}
537
538
539
540//=======================================================================
541//function : CenterCircleRst1Rst2
542//purpose : Calculate the center of the circle passing by two points of restrictions
543//=======================================================================
544Standard_Boolean BRepBlend_RstRstConstRad::CenterCircleRst1Rst2(const gp_Pnt& PtRst1,
545 const gp_Pnt& PtRst2,
546 const gp_Vec& np,
547 gp_Pnt& Center,
548 gp_Vec& VdMed) const
549{
550
551 gp_Vec rst1rst2(PtRst1, PtRst2);
552 gp_Vec vdmedNor; //,NRst1; vdmedNor directong vector of the perpendicular bisector
553 Standard_Real norm2;
554 Standard_Real Dist;// distance between the middle of PtRst1,PtRst2 and Center
555
556 // Calculate the center of the circle
557 VdMed = rst1rst2.Crossed(np);
558 norm2 = rst1rst2.SquareMagnitude();
559 Dist = ray * ray - 0.25 * norm2;
560
561 if (choix > 2) {
562 VdMed.Reverse();
563 }
564
565 if (Dist < - 1.E-07) return Standard_False;
566
567 if (Dist > 1.E-07) {
568 Dist = sqrt(Dist);
569 vdmedNor = VdMed.Normalized();
570 Center.SetXYZ(0.5 * rst1rst2.XYZ() + PtRst1.XYZ() + Dist * vdmedNor.XYZ());
571 }
572 else
573 {
574 Center.SetXYZ(0.5 * rst1rst2.XYZ() + PtRst1.XYZ());
575 }
576
577 return Standard_True;
578
579}
580
581
582
583
584
585
586//=======================================================================
587//function : Section
588//purpose :
589//=======================================================================
590
591void BRepBlend_RstRstConstRad::Section(const Standard_Real Param,
592 const Standard_Real U,
593 const Standard_Real V,
594 Standard_Real& Pdeb,
595 Standard_Real& Pfin,
596 gp_Circ& C)
597{
598 gp_Vec ns, np, NotUsed;
599 gp_Pnt Center;
600
601 tguide->D1(Param, ptgui, d1gui);
602 np = d1gui.Normalized();
603 ptrst1 = cons1.Value(U);
604 ptrst2 = cons2.Value(V);
605
606 Standard_Boolean IsCenter;
607
608 IsCenter = CenterCircleRst1Rst2(ptrst1, ptrst2, np, Center, NotUsed);
609
610 C.SetRadius(Abs(ray));
611 ns = gp_Vec(Center, ptrst1).Normalized();
612
613 if (choix%2 != 0) {
614 np.Reverse();
615 }
616
617 C.SetPosition(gp_Ax2(Center, np, ns));
618 Pdeb = 0; //ElCLib::Parameter(C, pts);
619 Pfin = ElCLib::Parameter(C, ptrst2);
620
621 // Test of angles negative and almost null : Special Case
622 if (Pfin > 1.5 * M_PI) {
623 np.Reverse();
624 C.SetPosition(gp_Ax2(Center, np, ns));
625 Pfin = ElCLib::Parameter(C, ptrst2);
626 }
627 if (Pfin < Precision::PConfusion()) Pfin += Precision::PConfusion();
628}
629
630//=======================================================================
631//function : IsRational
632//purpose :
633//=======================================================================
634
635Standard_Boolean BRepBlend_RstRstConstRad::IsRational () const
636{
637 return (mySShape==BlendFunc_Rational || mySShape==BlendFunc_QuasiAngular);
638}
639
640//=======================================================================
641//function : GetSectionSize
642//purpose :
643//=======================================================================
644
645Standard_Real BRepBlend_RstRstConstRad::GetSectionSize() const
646{
647 return maxang * Abs(ray);
648}
649
650//=======================================================================
651//function : GetMinimalWeight
652//purpose :
653//=======================================================================
654
655void BRepBlend_RstRstConstRad::GetMinimalWeight(TColStd_Array1OfReal& Weights) const
656{
657 BlendFunc::GetMinimalWeights(mySShape, myTConv, minang, maxang, Weights );
658 // It is supposed that it does not depend on the Radius!
659}
660
661//=======================================================================
662//function : NbIntervals
663//purpose :
664//=======================================================================
665
666Standard_Integer BRepBlend_RstRstConstRad::NbIntervals (const GeomAbs_Shape S) const
667{
668 return guide->NbIntervals(BlendFunc::NextShape(S));
669}
670
671//=======================================================================
672//function : Intervals
673//purpose :
674//=======================================================================
675
676void BRepBlend_RstRstConstRad::Intervals (TColStd_Array1OfReal& T,
677 const GeomAbs_Shape S) const
678{
679 guide->Intervals(T, BlendFunc::NextShape(S));
680}
681
682//=======================================================================
683//function : GetShape
684//purpose :
685//=======================================================================
686
687void BRepBlend_RstRstConstRad::GetShape (Standard_Integer& NbPoles,
688 Standard_Integer& NbKnots,
689 Standard_Integer& Degree,
690 Standard_Integer& NbPoles2d)
691{
692 NbPoles2d = 2;
693 BlendFunc::GetShape(mySShape, maxang, NbPoles, NbKnots, Degree, myTConv);
694}
695
696//=======================================================================
697//function : GetTolerance
698//purpose : Determine Tolerances to be used in approximations.
699//=======================================================================
700
701void BRepBlend_RstRstConstRad::GetTolerance(const Standard_Real BoundTol,
702 const Standard_Real SurfTol,
703 const Standard_Real AngleTol,
704 math_Vector& Tol3d,
705 math_Vector& Tol1d) const
706{
707 Standard_Integer low = Tol3d.Lower(), up = Tol3d.Upper();
708 Standard_Real Tol;
709 Tol= GeomFill::GetTolerance(myTConv, minang, Abs(ray),
710 AngleTol, SurfTol);
711 Tol1d.Init(SurfTol);
712 Tol3d.Init(SurfTol);
713 Tol3d(low+1) = Tol3d(up-1) = Min(Tol, SurfTol);
714 Tol3d(low) = Tol3d(up) = Min(Tol, BoundTol);
715}
716
717//=======================================================================
718//function : Knots
719//purpose :
720//=======================================================================
721
722void BRepBlend_RstRstConstRad::Knots(TColStd_Array1OfReal& TKnots)
723{
724 GeomFill::Knots(myTConv, TKnots);
725}
726
727//=======================================================================
728//function : Mults
729//purpose :
730//=======================================================================
731
732void BRepBlend_RstRstConstRad::Mults(TColStd_Array1OfInteger& TMults)
733{
734 GeomFill::Mults(myTConv, TMults);
735}
736
737//=======================================================================
738//function : Section
739//purpose :
740//=======================================================================
741
742void BRepBlend_RstRstConstRad::Section(const Blend_Point& P,
743 TColgp_Array1OfPnt& Poles,
744 TColgp_Array1OfPnt2d& Poles2d,
745 TColStd_Array1OfReal& Weights)
746{
747 gp_Vec ns, ns2, NotUsed;
748 gp_Pnt Center;
749 Standard_Real u, v;
750
751 Standard_Real prm = P.Parameter();
752 Standard_Integer low = Poles.Lower();
753 Standard_Integer upp = Poles.Upper();
754
755 tguide->D1(prm,ptgui, d1gui);
756 nplan = d1gui.Normalized();
757
758 u = P.ParameterOnC1();
759 v = P.ParameterOnC2();
760
761 gp_Pnt2d pt2d1 = rst1->Value(u);
762 gp_Pnt2d pt2d2 = rst2->Value(v);
763
764 ptrst1 = cons1.Value(u);
765 ptrst2 = cons2.Value(v);
766 distmin = Min (distmin, ptrst1.Distance(ptrst2));
767
768 Poles2d(Poles2d.Lower()).SetCoord(pt2d1.X(),pt2d1.Y());
769 Poles2d(Poles2d.Upper()).SetCoord(pt2d2.X(),pt2d2.Y());
770
771 // Linear case
772 if (mySShape == BlendFunc_Linear) {
773 Poles(low) = ptrst1;
774 Poles(upp) = ptrst2;
775 Weights(low) = 1.0;
776 Weights(upp) = 1.0;
777 return;
778 }
779
780 // Calculate the center of the circle
781 Standard_Boolean IsCenter;
782 IsCenter = CenterCircleRst1Rst2(ptrst1, ptrst2, nplan, Center, NotUsed);
783
784 // normals to the section with points
785 ns = gp_Vec(Center, ptrst1).Normalized();
786 ns2 = gp_Vec(Center, ptrst2).Normalized();
787
788 if (choix%2 != 0) {
789 nplan.Reverse();
790 }
791
792 GeomFill::GetCircle(myTConv,
793 ns, ns2,
794 nplan, ptrst1, ptrst2,
795 Abs(ray), Center,
796 Poles, Weights);
797}
798
799//=======================================================================
800//function : Section
801//purpose :
802//=======================================================================
803
804Standard_Boolean BRepBlend_RstRstConstRad::Section(const Blend_Point& P,
805 TColgp_Array1OfPnt& Poles,
806 TColgp_Array1OfVec& DPoles,
807 TColgp_Array1OfPnt2d& Poles2d,
808 TColgp_Array1OfVec2d& DPoles2d,
809 TColStd_Array1OfReal& Weights,
810 TColStd_Array1OfReal& DWeights)
811{
812
813 gp_Vec d11, d21;
814 gp_Vec dnplan, d1n1, d1n2;//,np2, dnp2;
815 gp_Vec temp, tgct;
816 gp_Vec d1urst, d1vrst;
817 gp_Pnt Center, NotUsed;
818
819 Standard_Real norm2, normmed, Dist;
820
821 math_Vector sol(1, 2), valsol(1, 2), secmember(1, 2);
822 math_Matrix gradsol(1, 2, 1, 2);
823
824 Standard_Real prm = P.Parameter();
825 Standard_Integer low = Poles.Lower();
826 Standard_Integer upp = Poles.Upper();
827 Standard_Boolean istgt;
828
829 tguide->D2(prm, ptgui, d1gui, d2gui);
830 normtg = d1gui.Magnitude();
831 nplan = d1gui.Normalized();
832 dnplan.SetLinearForm(1./normtg, d2gui,
833 -1./normtg * (nplan.Dot(d2gui)), nplan);
834
835 sol(1) = prmrst1 = P.ParameterOnC1();
836 sol(2) = prmrst2 = P.ParameterOnC2();
837 pt2drst1 = rst1->Value(prmrst1);
838 pt2drst2 = rst2->Value(prmrst2);
839
840 Values(sol, valsol, gradsol);
841
842 cons1.D1(sol(1), ptrst1, d11);
843 cons2.D1(sol(2), ptrst2, d21);
844
845 temp.SetXYZ(ptrst1.XYZ() - ptgui.XYZ());
846 secmember(1) = normtg - dnplan.Dot(temp);
847
848 temp.SetXYZ(ptrst2.XYZ() - ptgui.XYZ());
849 secmember(2) = normtg - dnplan.Dot(temp);
850
851 math_Gauss Resol(gradsol, 1.e-9);
852
853 if (Resol.IsDone()) {
854 istgt = Standard_False;
855 Resol.Solve(secmember);
856 }
857 else {
858 math_SVD SingRS (gradsol);
859 if (SingRS.IsDone()) {
860 math_Vector DEDT(1,2);
861 DEDT = secmember;
862 SingRS.Solve(DEDT, secmember, 1.e-6);
863 istgt = Standard_False;
864 }
865 else istgt = Standard_True;
866 }
867
868 gp_Vec med;
869 gp_Vec rst1rst2(ptrst1, ptrst2);
870 Standard_Boolean IsCenter;
871
872 IsCenter = CenterCircleRst1Rst2(ptrst1, ptrst2, nplan, Center, med);
873 if (!IsCenter) return Standard_False;
874
875 normmed = med.Magnitude();
876 med.Normalize();
877 gp_Vec n1(Center, ptrst1), n2(Center, ptrst2);
878 n1.Normalize();
879 n2.Normalize();
880
881 if (!istgt) {
882 // secmember contains derivatives of parameters on curves
883 // compared to t
884 tgrst1 = secmember(1) * d11;
885 tgrst2 = secmember(2) * d21;
886
887 gp_Vec d1rst1rst2;
888
889 norm2 = rst1rst2.SquareMagnitude();
890 d1rst1rst2 = tgrst2 - tgrst1;
891 Dist = ray * ray - 0.25 * norm2;
892
893 if (Dist > 1.E-07) {
894 gp_Vec d1P1P2CrosNp, dmed;
895 d1P1P2CrosNp = d1rst1rst2.Crossed(nplan) + rst1rst2.Crossed(dnplan);
896 // derivative of the perpendicular bisector
897 dmed = d1P1P2CrosNp - med.Dot(d1P1P2CrosNp) * med;
898 dmed /= normmed;
899 Dist = sqrt(Dist);
900 Standard_Real d1Dist = - (0.25 / Dist) * rst1rst2.Dot(d1rst1rst2);
901
902 if (choix > 2) {
903 dmed.Reverse();
904 }
905
906 // the derivative of coefficient Dist is located in dmed
907 dmed.SetLinearForm(Dist, dmed, d1Dist, med);
908 d1rst1rst2 *= 0.5;
909 // derivative of the Normal to the curve in P1
910 d1n1 = - (dmed + d1rst1rst2) / ray;
911
912 // derivative of the Normal to the curve in P2
913 d1n2 = (d1rst1rst2 - dmed) / ray;
914 }
915 else {
916 d1rst1rst2 *= 0.5;
917 // Normal to the curve in P1
918 d1n1 = - d1rst1rst2 / ray;
919
920 // Normal to the curve in P2
921 d1n2 = d1rst1rst2 / ray;
922 }
923 }
924
925 // Tops 2d
926
927 Poles2d(Poles2d.Lower()).SetCoord(pt2drst1.X(), pt2drst1.Y());
928 Poles2d(Poles2d.Upper()).SetCoord(pt2drst2.X(), pt2drst2.Y());
929 if (!istgt) {
930 Standard_Real a, b;
931 surf1->D1(pt2drst1.X(), pt2drst1.Y(), NotUsed, d1urst, d1vrst);
932 t3dto2d(a,b,tgrst1, d1urst, d1vrst);
933 DPoles2d(Poles2d.Lower()).SetCoord(a, b);
934
935 surf2->D1(pt2drst2.X(), pt2drst2.Y(), NotUsed, d1urst, d1vrst);
936 t3dto2d(a, b, tgrst2, d1urst, d1vrst);
937 DPoles2d(Poles2d.Upper()).SetCoord(a, b);
938 }
939
940 // Linear case
941 if (mySShape == BlendFunc_Linear) {
942 Poles(low) = ptrst1;
943 Poles(upp) = ptrst2;
944 Weights(low) = 1.0;
945 Weights(upp) = 1.0;
946 if (!istgt) {
947 DPoles(low) = tgrst1;
948 DPoles(upp) = tgrst2;
949 DWeights(low) = 0.0;
950 DWeights(upp) = 0.0;
951 }
952 return (!istgt);
953 }
954
955 // Case of the circle
956 // tangent to the center of the circle
957 if (!istgt) {
958 tgct.SetLinearForm(-ray, d1n1, tgrst1);
959 }
960
961
962 if (choix%2 != 0) {
963 nplan.Reverse();
964 dnplan.Reverse();
965 }
966
967 if (!istgt) {
968 return GeomFill::GetCircle(myTConv,
969 n1, n2,
970 d1n1, d1n2,
971 nplan, dnplan,
972 ptrst1, ptrst2,
973 tgrst1, tgrst2,
974 Abs(ray), 0,
975 Center, tgct,
976 Poles,
977 DPoles,
978 Weights,
979 DWeights);
980 }
981 else {
982 GeomFill::GetCircle(myTConv,
983 n1, n2,
984 nplan, ptrst1, ptrst2,
985 Abs(ray), Center,
986 Poles, Weights);
987 return Standard_False;
988 }
989}
990
991//=======================================================================
992//function : Section
993//purpose :
994//=======================================================================
995
996Standard_Boolean BRepBlend_RstRstConstRad::Section
997(const Blend_Point&,
998 TColgp_Array1OfPnt&,
999 TColgp_Array1OfVec&,
1000 TColgp_Array1OfVec&,
1001 TColgp_Array1OfPnt2d&,
1002 TColgp_Array1OfVec2d&,
1003 TColgp_Array1OfVec2d&,
1004 TColStd_Array1OfReal&,
1005 TColStd_Array1OfReal&,
1006 TColStd_Array1OfReal&)
1007{
1008 return Standard_False;
1009}
1010
1011
1012void BRepBlend_RstRstConstRad::Resolution(const Standard_Integer IC2d,
1013 const Standard_Real Tol,
1014 Standard_Real& TolU,
1015 Standard_Real& TolV) const
1016{
1017 if(IC2d == 1){
1018 TolU = surf1->UResolution(Tol);
1019 TolV = surf1->VResolution(Tol);
1020 }
1021 else {
1022 TolU = surf2->UResolution(Tol);
1023 TolV = surf2->VResolution(Tol);
1024 }
1025}
1026
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