projects / occt.git / blame
? search:
summary | shortlog | log | commit | commitdiff | tree
blob | blame (incremental) | history | HEAD
0024059: Eliminate compiler warning C4701 in MSVC++ with warning level 4
[occt.git] / src / Adaptor3d / Adaptor3d_CurveOnSurface.cxx
CommitLineData
b311480e 1// Copyright (c) 1999-2012 OPEN CASCADE SAS
2//
3// The content of this file is subject to the Open CASCADE Technology Public
4// License Version 6.5 (the "License"). You may not use the content of this file
5// except in compliance with the License. Please obtain a copy of the License
6// at http://www.opencascade.org and read it completely before using this file.
7//
8// The Initial Developer of the Original Code is Open CASCADE S.A.S., having its
9// main offices at: 1, place des Freres Montgolfier, 78280 Guyancourt, France.
10//
11// The Original Code and all software distributed under the License is
12// distributed on an "AS IS" basis, without warranty of any kind, and the
13// Initial Developer hereby disclaims all such warranties, including without
14// limitation, any warranties of merchantability, fitness for a particular
15// purpose or non-infringement. Please see the License for the specific terms
16// and conditions governing the rights and limitations under the License.
17
7fd59977 18#define No_Standard_OutOfRange
19
20#include <Adaptor3d_CurveOnSurface.ixx>
21
22#include <gp_Pnt2d.hxx>
23#include <gp_Vec2d.hxx>
24#include <gp_Ax22d.hxx>
25#include <gp_Lin2d.hxx>
26#include <gp_Circ2d.hxx>
27#include <gp_Elips2d.hxx>
28#include <gp_Hypr2d.hxx>
29#include <gp_Parab2d.hxx>
30#include <Geom_BSplineSurface.hxx>
31#include <Geom_SurfaceOfRevolution.hxx>
32#include <Geom_SurfaceOfLinearExtrusion.hxx>
33#include <Geom_OffsetSurface.hxx>
34#include <Geom2d_BezierCurve.hxx>
35#include <Geom2d_BSplineCurve.hxx>
36#include <Precision.hxx>
37#include <TColgp_Array1OfPnt2d.hxx>
38#include <TColgp_Array1OfPnt.hxx>
39#include <TColStd_Array1OfReal.hxx>
40#include <TColStd_Array1OfInteger.hxx>
41#include <Standard_NotImplemented.hxx>
42#include <Adaptor3d_HCurveOnSurface.hxx>
43#include <ElCLib.hxx>
44#include <ElSLib.hxx>
45#include <Adaptor3d_InterFunc.hxx>
46#include <math_FunctionRoots.hxx>
47#include <SortTools_StraightInsertionSortOfReal.hxx>
48#include <TCollection_CompareOfReal.hxx>
49#include <ElSLib.hxx>
50#include <TColStd_SetIteratorOfSetOfReal.hxx>
51#include <TColStd_SetOfReal.hxx>
52#include <TColStd_HSetOfReal.hxx>
53
54static gp_Pnt to3d(const gp_Pln& Pl, const gp_Pnt2d& P)
55{
56 return ElSLib::Value(P.X(),P.Y(),Pl);
57}
58
59static gp_Vec to3d(const gp_Pln& Pl, const gp_Vec2d& V)
60{
61 gp_Vec Vx = Pl.XAxis().Direction();
62 gp_Vec Vy = Pl.YAxis().Direction();
63 Vx.Multiply(V.X());
64 Vy.Multiply(V.Y());
65 Vx.Add(Vy);
66 return Vx;
67}
68
69static gp_Ax2 to3d(const gp_Pln& Pl, const gp_Ax22d& A)
70{
71 gp_Pnt P = to3d(Pl,A.Location());
72 gp_Vec VX = to3d(Pl,A.XAxis().Direction());
73 gp_Vec VY = to3d(Pl,A.YAxis().Direction());
74 return gp_Ax2(P,VX.Crossed(VY),VX);
75}
76
77static gp_Circ to3d(const gp_Pln& Pl, const gp_Circ2d& C)
78{
79 return gp_Circ(to3d(Pl,C.Axis()),C.Radius());
80}
81
82static gp_Elips to3d(const gp_Pln& Pl, const gp_Elips2d& E)
83{
84 return gp_Elips(to3d(Pl,E.Axis()),E.MajorRadius(),E.MinorRadius());
85}
86
87static gp_Hypr to3d(const gp_Pln& Pl, const gp_Hypr2d& H)
88{
89 return gp_Hypr(to3d(Pl,H.Axis()),H.MajorRadius(),H.MinorRadius());
90}
91
92static gp_Parab to3d(const gp_Pln& Pl, const gp_Parab2d& P)
93{
94 return gp_Parab(to3d(Pl,P.Axis()),P.Focal());
95}
96
97static gp_Vec SetLinearForm(const gp_Vec2d DW, const gp_Vec2d D2W,const gp_Vec2d D3W,
98 const gp_Vec D1U, const gp_Vec D1V, const gp_Vec D2U,
99 const gp_Vec D2V, const gp_Vec D2UV, const gp_Vec D3U,
100 const gp_Vec D3V, const gp_Vec D3UUV,const gp_Vec D3UVV)
101{gp_Vec V31, V32, V33, V34,V3 ;
102 V31.SetLinearForm(DW.X(),D1U,
103 D2W.X()*DW.X(),D2U,
104 D2W.X()*DW.Y(),D2UV);
105 V31.SetLinearForm(D3W.Y(),D1V,
106 D2W.Y()*DW.X(),D2UV,
107 D2W.Y()*DW.Y(),D2V,
108 V31);
109 V32.SetLinearForm(DW.X()*DW.X()*DW.Y(),D3UUV,
110 DW.X()*DW.Y()*DW.Y(),D3UVV);
111 V32.SetLinearForm(D2W.X()*DW.Y()+DW.X()*D2W.Y(),D2UV,
112 DW.X()*DW.Y()*DW.Y(),D3UVV,
113 V32);
114 V33.SetLinearForm(2*D2W.X()*DW.X(),D2U,
115 DW.X()*DW.X()*DW.X(),D3U,
116 DW.X()*DW.X()*DW.Y(),D3UUV);
117
118 V34.SetLinearForm(2*D2W.Y()*DW.Y(),D2V,
119 DW.Y()*DW.Y()*DW.X(),D3UVV,
120 DW.Y()*DW.Y()*DW.Y(),D3V);
121 V3.SetLinearForm(1,V31,2,V32,1,V33,V34);
122 return V3;
123}
124
125//=======================================================================
126static void CompareBounds(gp_Pnt2d& P1,
127 gp_Pnt2d& P2)//SVV
128{
129 Standard_Real Lx = P1.X(),Ly = P1.Y();
130 Standard_Real Rx = P2.X(),Ry = P2.Y();
131
132 if (Lx > Rx) { P1.SetX(Rx); P2.SetX(Lx);}
133 if (Ly > Ry) { P1.SetY(Ry); P2.SetY(Ly);}
134}
135
136//=======================================================================
137//function :Hunt
138//purpose :
139//=======================================================================
140static void Hunt(const TColStd_Array1OfReal& Arr,
141 const Standard_Real Coord,
142 Standard_Integer& Iloc)
143{//Warning: Hunt is used to find number of knot which equals co-ordinate component,
144 // when co-ordinate component definitly equals a knot only.
145 Standard_Real Tol=Precision::PConfusion()/10;
146 Standard_Integer i=1;
82ac7cbb 147 while((i <= Arr.Upper()) && (Abs(Coord - Arr(i)) > Tol)){
7fd59977 148 i++;}
149
82ac7cbb 150 if(Abs(Coord - Arr(i)) < Tol)
7fd59977 151 Iloc = i;
152 else
82ac7cbb
S		 153 if(Abs(Coord - Arr(i)) > Tol)
154 Standard_NotImplemented::Raise("Adaptor3d_CurveOnSurface:Hunt");
7fd59977 155}
156
157//=======================================================================
158//function :ReverseParam
159//purpose :
160//=======================================================================
161
162static void ReverseParam(const Standard_Real In1,
163 const Standard_Real In2,
164 Standard_Real& Out1,
165 Standard_Real& Out2 )
166{
167
168 if(In1>In2) {Out1=In2;
169 Out2=In1;}
170 else {Out1=In1;
171 Out2=In2;}
172}
173//=======================================================================
174//function :ReverseParam
175//purpose :
176//=======================================================================
177
178static void ReverseParam(const Standard_Integer In1,
179 const Standard_Integer In2,
180 Standard_Integer& Out1,
181 Standard_Integer& Out2 )
182{
183 if(In1>In2) {Out1=In2;
184 Out2=In1;}
185 else {Out1=In1;
186 Out2=In2;}
187}
188
189//=======================================================================
190//function :FindBounds
191//purpose :
192//=======================================================================
193static void FindBounds(const TColStd_Array1OfReal& Arr,
194 const Standard_Real Coord,
195 const Standard_Real Der,
196 Standard_Integer& Bound1,
197 Standard_Integer& Bound2,
198 Standard_Boolean& DerNull)
199
200{
201 Standard_Integer N;
202 Standard_Real Tol=Precision::PConfusion()/10;
203 Hunt(Arr,Coord,N);
204 DerNull=Standard_False;
205
206 if(N==Bound1){ if(Abs(Der) > Tol) DerNull = Standard_False;
207 if(Abs(Der)<= Tol) DerNull = Standard_True;
208 Bound1=N;Bound2=N+1; return;
209 }
210 if(N==Bound2){ if( Abs(Der) > Tol ) DerNull = Standard_False;
211 if( Abs(Der)<= Tol ) DerNull = Standard_True;
212 Bound1=N-1;Bound2=N; return;
213 }
214 if((N!=Bound1)&&(N!=Bound2)) {
215 if(Abs(Der) > Tol ) {
216 if(Der>0) {Bound1=N;Bound2= N+1;}
217 else
218 if(Der<0){Bound1=N-1;Bound2=N;}
219 DerNull = Standard_False;
220 }
221 if(Abs(Der) <=Tol ) {
222 DerNull = Standard_True;
223 Bound1=N-1;
224 Bound2=N+1;
225 }
226 }
227}
228
229//=======================================================================
230//function :Locate1Coord
231//purpose : along BSpline curve
232//=======================================================================
233
234static void Locate1Coord(const Standard_Integer Index,
235 const gp_Pnt2d& UV,
236 const gp_Vec2d& DUV,
237 const Handle(Geom_BSplineCurve)& BSplC,
238 gp_Pnt2d& LeftBot, gp_Pnt2d& RightTop)
239{
240 Standard_Real Comp1=0, DComp1=0, cur, f, l;
241 Standard_Real Tol = Precision::PConfusion()/10;
242 Standard_Integer i = 1, Bnd1, Bnd2;
243 Standard_Boolean DIsNull= Standard_False;
244 TColStd_Array1OfReal Arr(1,BSplC->NbKnots()); BSplC->Knots(Arr);
245
246 if(Index==1) { Comp1=UV.X(); DComp1=DUV.X(); }
247 if(Index==2) { Comp1=UV.Y(); DComp1=DUV.Y(); }
248
249 Standard_Integer Lo = BSplC->FirstUKnotIndex(), Up = BSplC->LastUKnotIndex();
250
251 i = Lo;
252 while ( ( Abs(BSplC->Knot(i)-Comp1)>Tol )&& (i!=Up ) ) i++;
253 cur=BSplC->Knot(i);
254
255 if( Abs(Comp1-cur)<=Tol) {
256
257 Bnd1 = Lo; Bnd2 = Up;
258 FindBounds(Arr,cur,DComp1,Bnd1,Bnd2,DIsNull);
259 ReverseParam(Bnd1,Bnd2,Bnd1,Bnd2);
260
261 if(DIsNull==Standard_False){
262 if(Index==1) {LeftBot.SetX(BSplC->Knot(Bnd1));
263 RightTop.SetX(BSplC->Knot(Bnd2));}
264 else
265 if(Index==2){ LeftBot.SetY(BSplC->Knot(Bnd1));
266 RightTop.SetY(BSplC->Knot(Bnd2)); }
267 }
268 else
269 if(DIsNull==Standard_True){
270 if( Abs( Comp1-(f=BSplC->Knot(Lo))) <= Tol)
271 {
272 if(Index==1) { LeftBot.SetX(BSplC->Knot(Lo));
273 RightTop.SetX(BSplC->Knot(Lo+1));}
274 else if(Index==2) { LeftBot.SetY(BSplC->Knot(Lo));
275 RightTop.SetY(BSplC->Knot(Lo+1));}
276 } else
277 if( Abs( Comp1-(l=BSplC->Knot(Up))) <= Tol)
278 {
279 if(Index==1) { LeftBot.SetX(BSplC->Knot(Up-1));
280 RightTop.SetX(BSplC->Knot(Up));}
281 else if(Index==2) {LeftBot.SetY(BSplC->Knot(Up-1));
282 RightTop.SetY(BSplC->Knot(Up));}
283 }else
284 if(Index==1) { LeftBot.SetX(BSplC->Knot(Bnd1));
285 RightTop.SetX(BSplC->Knot(Bnd2));}
286 else if(Index==2) {LeftBot.SetY(BSplC->Knot(Bnd1));
287 RightTop.SetY(BSplC->Knot(Bnd2));}
288 }
289 }
290 else//*********if Coord != Knot
291 {
292 i=Lo;
293 while (i < Up) {
294 //if((f=BSplC->Knot(i))<Comp1 && (l=BSplC->Knot(i+1))>Comp1) break;
295 //skl 28.03.2002 for OCC233
296 f=BSplC->Knot(i);
297 l=BSplC->Knot(i+1);
298 if(f<Comp1 && l>Comp1) break;
299 i++;
300 }
301 ReverseParam(f,l,f,l);
302
303 if(i!=Up) {
304 if(Abs(DComp1)<Tol)
305 { if(Index==1) {LeftBot.SetX(f); RightTop.SetX(l);}else
306 if(Index==2) {LeftBot.SetY(f); RightTop.SetY(l); }
307 }else
308 if(Abs(DComp1)>Tol)
309 {
310 if(Index==1) {
311 if(DComp1>0) {LeftBot.SetX(Comp1); RightTop.SetX(l);} else
312 if(DComp1<0) {LeftBot.SetX(f); RightTop.SetX(Comp1);}
313 }
314 else
315 if(Index==2) {
316 if(DComp1>0) {LeftBot.SetY(Comp1); RightTop.SetY(l);} else
317 if(DComp1<0) {LeftBot.SetY(f); RightTop.SetY(Comp1);};
318 }
319 }
320 }else
321 if(i==Up) {
322 if(Index==1) {LeftBot.SetX(Comp1); RightTop.SetX(BSplC->Knot(i));}else
323 if(Index==2) {LeftBot.SetY(Comp1); RightTop.SetY(BSplC->Knot(i)); }
324 }
325 }
326}
327
328
329//=======================================================================
330//function :Locate1Coord
331//purpose :
332//=======================================================================
333
334static void Locate1Coord(const Standard_Integer Index,
1d47d8d0 335 const gp_Pnt2d& UV,
336 const gp_Vec2d& DUV,
337 const Handle(Geom_BSplineSurface)& BSplS,
338 Standard_Boolean& DIsNull,
339 gp_Pnt2d& LeftBot,
340 gp_Pnt2d& RightTop)
7fd59977 341{
342 Standard_Real Comp1=0,DComp1=0;
343 Standard_Real Tol = Precision::PConfusion()/10;
1d47d8d0 344 Standard_Integer i=1, Up=0, Up1, Up2, Down=0, Down1, Down2;
345 Standard_Real cur = 0.;
7fd59977 346
347 DIsNull= Standard_False;
348
349 Up1 = BSplS->LastUKnotIndex();
350 Down1 = BSplS->FirstUKnotIndex();
351 Up2 = BSplS->LastVKnotIndex();
352 Down2 = BSplS->FirstVKnotIndex();
353
1d47d8d0 354 if(Index==1)
355 {
356 i = Down1;
357 Comp1 = UV.X();
358 DComp1= DUV.X();
359 Up=Up1;
360 Down=Down1;
361
362 while ( ( Abs(BSplS->UKnot(i)-Comp1)>Tol )&&(i!=Up1 ) )
363 {
364 i++;
365 }
366
367 cur = BSplS->UKnot(i);
368 }
369 else if(Index==2)
370 {
371 i = Down2;
372 Comp1 = UV.Y();
373 DComp1=DUV.Y();
374 Up=Up2;
375 Down=Down2;
376
377 while ( ( Abs(BSplS->VKnot(i)-Comp1)>Tol )&&(i!=Up2 ) )
378 {
379 i++;
380 }
381
382 cur = BSplS->VKnot(i);
383 }
7fd59977 384
385 if( Abs(Comp1-cur)<=Tol )
1d47d8d0 386 {
387 Standard_Integer Bnd1 = Down, Bnd2 = Up;
388 if(Index==1)
389 {
390 TColStd_Array1OfReal Arr1(1,BSplS->NbUKnots());
391 BSplS->UKnots(Arr1); // Up1=Arr1.Upper(); Down1=Arr1.Lower();
392 FindBounds(Arr1,cur,DUV.X(),Bnd1,Bnd2,DIsNull);
393 }
394 else if(Index==2)
395 {
396 TColStd_Array1OfReal Arr2(1,BSplS->NbVKnots());
397 BSplS->VKnots(Arr2); // Up2=Arr2.Upper(); Down2=Arr2.Lower();
398 FindBounds(Arr2,cur,DUV.Y(),Bnd1,Bnd2,DIsNull);
399 }
400
401 ReverseParam(Bnd1,Bnd2,Bnd1,Bnd2);
402
403 if(DIsNull==Standard_False)
404 {
405 if(Index==1)
406 {
407 LeftBot.SetX(BSplS->UKnot(Bnd1));
408 RightTop.SetX(BSplS->UKnot(Bnd2));
7fd59977 409 }
1d47d8d0 410 else if(Index==2)
411 {
412 LeftBot.SetY(BSplS->VKnot(Bnd1));
413 RightTop.SetY(BSplS->VKnot(Bnd2));
7fd59977 414 }
1d47d8d0 415 }
416 }
7fd59977 417 else//*********if Coord != Knot
1d47d8d0 418 {
419 if( (Index==1)&&(Comp1 < BSplS->UKnot(Down)) )
420 {
421 LeftBot.SetX(BSplS->UKnot(Down));
422 RightTop.SetX( BSplS->UKnot(Down + 1) );
423 return;
424 }
425 else if( (Index==2)&&(Comp1 < BSplS->VKnot(Down)) )
426 {
427 LeftBot.SetY(BSplS->VKnot(Down));
428 RightTop.SetY( BSplS->VKnot(Down + 1) );
429 return;
430 }
431 else if( (Index==1)&&(Comp1 > BSplS->UKnot(Up)) )
432 {
433 RightTop.SetX(BSplS->UKnot(Up - 1));
434 LeftBot.SetX( BSplS->UKnot(Up) );
435 return;
436 }
437 else if( (Index==2)&&(Comp1 > BSplS->VKnot(Up)) )
438 {
439 RightTop.SetY(BSplS->VKnot(Up - 1));
440 LeftBot.SetY( BSplS->VKnot(Up) );
441 return;
442 }
443 else
7fd59977 444 {
1d47d8d0 445 Standard_Real f = 0., l = 1.;
446 if (Index==1)
447 {
448 f=BSplS->UKnot(Down);
449 l=BSplS->UKnot(Up);
450 }
451 else if (Index == 2)
452 {
453 f=BSplS->VKnot(Down);
454 l=BSplS->VKnot(Up);
455 }
456
457 i = Down;
458 if ((!(Comp1 < f))&&(!(Comp1 > l)))
459 {
460 if (Index==1)
461 {
462 while (!(((f=BSplS->UKnot(i)) < Comp1)&&((l=BSplS->UKnot(i+1)) > Comp1)) && (i<Up))
463 {
464 i++;
465 }
466 }
467 else if (Index==2)
468 {
469 while (!(((f=BSplS->VKnot(i)) < Comp1)&&((l=BSplS->VKnot(i+1)) > Comp1)) && (i<Up))
470 {
471 i++;
472 }
473 }
474 }
7fd59977 475 else
1d47d8d0 476 ReverseParam(f,l,f,l);
477
478 if(i!=Up)
479 {
480 if(Abs(DComp1)>Tol)
481 {
482 if(Index==1)
483 {
484 if(DComp1>0)
485 {
486 LeftBot.SetX(Comp1);
487 RightTop.SetX(l);
488 }
489 else if(DComp1<0)
490 {
491 LeftBot.SetX(f);
492 RightTop.SetX(Comp1);
493 }
494 }
495 else if(Index==2)
496 {
497 if(DComp1>0)
498 {
499 LeftBot.SetY(Comp1);
500 RightTop.SetY(l);
501 }
502 else if(DComp1<0)
503 {
504 LeftBot.SetY(f);
505 RightTop.SetY(Comp1);
506 }
507 }
508 }
509 else
510 {
511 if(Abs(DComp1)<Tol)
512 {
513 if(Index==1)
514 {
515 LeftBot.SetX(f);
516 RightTop.SetX(l);
517 }
518 else if(Index==2)
519 {
520 LeftBot.SetY(f);
521 RightTop.SetY(l);
522 }
523 }
524 }
525 }
526 else if(i==Up)
527 {
528 if(Index==1)
529 {
530 LeftBot.SetX(Comp1);
531 RightTop.SetX(BSplS->UKnot(i));
532 }
533 else if(Index==2)
534 {
535 LeftBot.SetY(Comp1);
536 RightTop.SetY(BSplS->VKnot(i));
537 }
538 }
7fd59977 539 }
1d47d8d0 540 }
7fd59977 541}
542//=======================================================================
543//function :Locate2Coord
544//purpose : along non-BSpline curve
545//=======================================================================
546
547
548static void Locate2Coord(const Standard_Integer Index,
549 const gp_Pnt2d& UV, const gp_Vec2d& DUV,
550 const Standard_Real I1,
551 const Standard_Real I2,
552 gp_Pnt2d& LeftBot, gp_Pnt2d& RightTop)
553{
554 Standard_Real Tol=Precision::PConfusion()/10;
555 Standard_Real Comp1=0,DComp1=0;
556 Standard_Boolean DIsNull = Standard_False;
557 if(Index==1) { Comp1=UV.X();
558 DComp1=DUV.X();}
559 else
560 if(Index==2) {Comp1=UV.Y();
561 DComp1=DUV.Y();}
562
563 if((Comp1!=I1)&&(Comp1!=I2))
564 { if(Abs(DComp1) > Tol)
565 { if(DComp1 < 0)
566 { if(Index==1) { LeftBot.SetX(I1);
567 RightTop.SetX(Comp1);}
568 if(Index==2) { LeftBot.SetY(I1);
569 RightTop.SetY(Comp1);}
570 }
571 else
572 if(DComp1 > 0)
573 { if(Index==1) { LeftBot.SetX(Comp1);
574 RightTop.SetX(I2);}
575 if(Index==2) { LeftBot.SetY(Comp1);
576 RightTop.SetY(I2);}
577 }
578 else { if(Index==1) { LeftBot.SetX(I1);
579 RightTop.SetX(I2);}
580 if(Index==2) { LeftBot.SetY(I1);
581 RightTop.SetY(I2);}
582 }
583 DIsNull=Standard_False;
584 }
585 else
586 if(Abs(DComp1)<=Tol) { DIsNull = Standard_True;
587 if(Index==1) { LeftBot.SetX(I1) ;
588 RightTop.SetX(I2);}
589 if(Index==2) { LeftBot.SetY(I1) ;
590 RightTop.SetY(I2);}
591 }
592 }else
593 if(Abs(Comp1-I1)<Tol)
594 { if(Index==1) { LeftBot.SetX(I1) ;
595 RightTop.SetX(I2);}
596 if(Index==2) { LeftBot.SetY(I1) ;
597 RightTop.SetY(I2);}
598 }
599 else
600 if(Abs(Comp1-I2)<Tol)
601 { if(Index==1) { LeftBot.SetX(I1);
602 RightTop.SetX(I2);}
603 if(Index==2) { LeftBot.SetY(I1);
604 RightTop.SetY(I2);}
605 }
606}
607
608//=======================================================================
609//function :Locate2Coord
610//purpose :
611//=======================================================================
612
613static void Locate2Coord(const Standard_Integer Index,
614 const gp_Pnt2d& UV, const gp_Vec2d& DUV,
615 const Handle(Geom_BSplineSurface)& BSplS,
616 const TColStd_Array1OfReal& Arr,
617 gp_Pnt2d& LeftBot, gp_Pnt2d& RightTop)
618{
619 Standard_Real Comp=0,DComp=0,Tmp1,Tmp2;
620 Standard_Real Tol=Precision::PConfusion()/10;
621 Standard_Integer N, NUp=0, NLo=0;
622 if(Index==1)
623 { Comp=UV.X();
624 DComp=DUV.Y();
625 NUp = BSplS->LastUKnotIndex();
626 NLo = BSplS->FirstUKnotIndex();
627 }
628 if(Index==2)
629 { Comp=UV.Y();
630 DComp=DUV.X();
631 NUp = BSplS->LastVKnotIndex();
632 NLo = BSplS->FirstVKnotIndex();
633 }
634
635 if((DComp > 0)&&(Abs(DComp)>Tol)) {
636 Hunt(Arr,Comp,N);
637 if (N >= NUp){
638 //limit case: Hunt() cought upper knot. Take the last span.
639 N = NUp - 1;
640 }
641 if(Index==1) { Tmp1=BSplS->UKnot(N);
642 Tmp2=BSplS->UKnot(N+1);}
643 else
644 if(Index==2) { Tmp1=BSplS->VKnot(N);
645 Tmp2=BSplS->VKnot(N+1);}
646
647 ReverseParam(Tmp1,Tmp2,Tmp1,Tmp2);
648
649 if(Index==1) { LeftBot.SetX(Tmp1);
650 RightTop.SetX(Tmp2);}
651 else
652 if(Index==2) { LeftBot.SetY(Tmp1);
653 RightTop.SetY(Tmp2);}
654 }
655 else
656 if((DComp < 0)&&(Abs(DComp)>Tol)){
657 Hunt(Arr,Comp,N);
658 if (N <= NLo) {
659 //limit case: Hunt() cought lower knot. Take the first span.
660 N = NLo + 1;
661 }
662 if(Index==1) { Tmp1=BSplS->UKnot(N-1);
663 Tmp2=BSplS->UKnot(N);}
664 else
665 if(Index==2) { Tmp1=BSplS->VKnot(N-1);
666 Tmp2=BSplS->VKnot(N);}
667
668 ReverseParam(Tmp1,Tmp2,Tmp1,Tmp2);
669
670 if(Index==1) { LeftBot.SetX(Tmp1);
671 RightTop.SetX(Tmp2);}
672 else
673 if(Index==2) { LeftBot.SetY(Tmp1);
674 RightTop.SetY(Tmp2);}
675 }
676}
677
678
679
680//=======================================================================
681//function : Adaptor3d_CurveOnSurface
682//purpose :
683//=======================================================================
684
685Adaptor3d_CurveOnSurface::Adaptor3d_CurveOnSurface()
686 : myType(GeomAbs_OtherCurve), myIntCont(GeomAbs_CN)
687{}
688
689//=======================================================================
690//function : Adaptor3d_CurveOnSurface
691//purpose :
692//=======================================================================
693
694Adaptor3d_CurveOnSurface::Adaptor3d_CurveOnSurface
695(const Handle(Adaptor3d_HSurface)& S)
696 : myType(GeomAbs_OtherCurve), myIntCont(GeomAbs_CN)
697{
698 Load(S);
699}
700
701//=======================================================================
702//function : Adaptor3d_CurveOnSurface
703//purpose :
704//=======================================================================
705
706Adaptor3d_CurveOnSurface::Adaptor3d_CurveOnSurface
707(const Handle(Adaptor2d_HCurve2d)& C,
708 const Handle(Adaptor3d_HSurface)& S)
709 : myType(GeomAbs_OtherCurve), myIntCont(GeomAbs_CN)
710{
711 Load(S);
712 Load(C);
713}
714
715//=======================================================================
716//function : Load
717//purpose :
718//=======================================================================
719
720void Adaptor3d_CurveOnSurface::Load(const Handle(Adaptor3d_HSurface)& S)
721{
722 mySurface = S;
723 if (!myCurve.IsNull()) EvalKPart();
724}
725
726//=======================================================================
727//function : Load
728//purpose :
729//=======================================================================
730
731void Adaptor3d_CurveOnSurface::Load(const Handle(Adaptor2d_HCurve2d)& C)
732{
733 myCurve = C;
734 if (!mySurface.IsNull())
735 {
736 EvalKPart();
737 GeomAbs_SurfaceType SType ;
738 SType = mySurface->GetType();
739 if( SType == GeomAbs_BSplineSurface)
740 EvalFirstLastSurf();
741 if( SType == GeomAbs_SurfaceOfExtrusion)
742 EvalFirstLastSurf();
743 if( SType == GeomAbs_SurfaceOfRevolution)
744 EvalFirstLastSurf();
745 if( SType == GeomAbs_OffsetSurface) {
746 SType = mySurface->BasisSurface()->GetType();
747 if( SType == GeomAbs_SurfaceOfRevolution ||
748 SType == GeomAbs_SurfaceOfExtrusion ||
749 SType == GeomAbs_BSplineSurface )
750 EvalFirstLastSurf();
751 }
752 }
753}
754
755//=======================================================================
756//function : FirstParameter
757//purpose :
758//=======================================================================
759
760Standard_Real Adaptor3d_CurveOnSurface::FirstParameter() const
761{
762 return myCurve->FirstParameter();
763}
764
765//=======================================================================
766//function : LastParameter
767//purpose :
768//=======================================================================
769
770Standard_Real Adaptor3d_CurveOnSurface::LastParameter() const
771{
772 return myCurve->LastParameter();
773}
774
775//=======================================================================
776//function : Continuity
777//purpose :
778//=======================================================================
779
780GeomAbs_Shape Adaptor3d_CurveOnSurface::Continuity() const
781{
782 GeomAbs_Shape ContC = myCurve->Continuity();
783 GeomAbs_Shape ContSu = mySurface->UContinuity();
784 if ( ContSu < ContC) ContC = ContSu;
785 GeomAbs_Shape ContSv = mySurface->VContinuity();
786 if ( ContSv < ContC) ContC = ContSv;
787
788 return ContC;
789}
790
791//=======================================================================
792//function : NbIntervals
793//purpose :
794//=======================================================================
795
796Standard_Integer Adaptor3d_CurveOnSurface::NbIntervals
797(const GeomAbs_Shape S)
798{
799 if(S == myIntCont && !myIntervals.IsNull())
800 return myIntervals->Length()-1;
801
802 Standard_Integer nu,nv,nc,i;
803 nu=mySurface->NbUIntervals(S);
804 nv=mySurface->NbVIntervals(S);
805 Handle(TColStd_HSetOfReal) tmpIntervals = new TColStd_HSetOfReal;
806 TColStd_SetIteratorOfSetOfReal It;
807 TColStd_Array1OfReal TabU(1,nu+1);
808 TColStd_Array1OfReal TabV(1,nv+1);
809 Standard_Integer NbSample = 20;
810 Standard_Real U,V,Tdeb,Tfin;
811 Tdeb=myCurve->FirstParameter();
812 Tfin=myCurve->LastParameter();
813 nc=myCurve->NbIntervals(S);
814 TColStd_Array1OfReal TabC(1,nc+1);
815 myCurve->Intervals(TabC,S);
816 Standard_Real Tol= Precision::PConfusion()/10;
817 for (i=1;i<=nc+1;i++)
818 {tmpIntervals->Add(TabC(i));}
819
820 Standard_Integer nbpoint=nc+1;
821 if (nu>1)
822 { mySurface->UIntervals(TabU,S);
823 for(Standard_Integer iu = 2;iu <= nu; iu++)
824 { U = TabU.Value(iu);
825 Adaptor3d_InterFunc Func(myCurve,U,1);
826 math_FunctionRoots Resol(Func,Tdeb,Tfin,NbSample,Tol,Tol,Tol,0.);
827 if (Resol.IsDone())
828 { if (!Resol.IsAllNull())
829 { Standard_Integer nsol=Resol.NbSolutions();
830 for ( i=1;i<=nsol;i++)
831 { Standard_Real param =Resol.Value(i);
832 { Standard_Boolean insere=Standard_True;
833 for (It.Initialize(tmpIntervals->Set());It.More();It.Next())
834 { if (Abs(param- It.Value())<=Tol)
835 insere=Standard_False;}
836 if (insere)
837 {nbpoint++;
838 tmpIntervals->Add(param);}
839 }
840 }
841 }
842 }
843 }
844 }
845 if (nv>1)
846
847 { mySurface->VIntervals(TabV,S);
848 for(Standard_Integer iv = 2;iv <= nv; iv++)
849 { V = TabV.Value(iv);
850 Adaptor3d_InterFunc Func(myCurve,V,2);
851 math_FunctionRoots Resol(Func,Tdeb,Tfin,NbSample,Tol,Tol,Tol,0.);
852 if (Resol.IsDone())
853 { if (!Resol.IsAllNull())
854 { Standard_Integer nsol=Resol.NbSolutions();
855 for ( i=1;i<=nsol;i++)
856 { Standard_Real param =Resol.Value(i);
857 { Standard_Boolean insere=Standard_True;
858 for (It.Initialize(tmpIntervals->Set());It.More();It.Next())
859 { if (Abs(param- It.Value())<=Tol)
860 insere=Standard_False;}
861 if (insere)
862 {nbpoint++;
863 tmpIntervals->Add(param);}
864 }
865 }
866 }
867 }
868 }
869 }
870
871 // for case intervals==1 and first point == last point SetOfReal
872 // contains only one value, therefore it is necessary to add second
873 // value into myIntervals which will be equal first value.
874 myIntervals = new TColStd_HArray1OfReal(1,nbpoint);
875 i=0;
876 for (It.Initialize(tmpIntervals->Set());It.More();It.Next(),i)
877 { i++;
878 myIntervals->SetValue(i,It.Value());
879 }
880 if( i==1 )
881 myIntervals->SetValue(2,myIntervals->Value(1));
882
883 myIntCont = S;
884 return nbpoint-1;
885}
886
887//=======================================================================
888//function : Intervals
889//purpose :
890//=======================================================================
891
892void Adaptor3d_CurveOnSurface::Intervals(TColStd_Array1OfReal& T,
893 const GeomAbs_Shape S)
894{
895 NbIntervals(S);
896 for(Standard_Integer i=1; i<=myIntervals->Length(); i++) {
897 T(i) = myIntervals->Value(i);
898 }
899 TCollection_CompareOfReal comp;
900 SortTools_StraightInsertionSortOfReal::Sort(T,comp);
901}
902
903//=======================================================================
904//function : Trim
905//purpose :
906//=======================================================================
907
908Handle(Adaptor3d_HCurve) Adaptor3d_CurveOnSurface::Trim
909(const Standard_Real First,
910 const Standard_Real Last,
911 const Standard_Real Tol) const
912{
913 Handle(Adaptor3d_HCurveOnSurface) HCS = new Adaptor3d_HCurveOnSurface();
914 HCS->ChangeCurve().Load(mySurface);
915 HCS->ChangeCurve().Load(myCurve->Trim(First,Last,Tol));
916 return HCS;
917}
918
919//=======================================================================
920//function : IsClosed
921//purpose :
922//=======================================================================
923
924Standard_Boolean Adaptor3d_CurveOnSurface::IsClosed() const
925{
926 return myCurve->IsClosed();
927}
928
929//=======================================================================
930//function : IsPeriodic
931//purpose :
932//=======================================================================
933
934Standard_Boolean Adaptor3d_CurveOnSurface::IsPeriodic() const
935{
936 return myCurve->IsPeriodic();
937}
938
939//=======================================================================
940//function : Period
941//purpose :
942//=======================================================================
943
944Standard_Real Adaptor3d_CurveOnSurface::Period() const
945{
946 return myCurve->Period();
947}
948
949//=======================================================================
950//function : Value
951//purpose :
952//=======================================================================
953
954gp_Pnt Adaptor3d_CurveOnSurface::Value(const Standard_Real U ) const
955{
956 gp_Pnt P;
957 gp_Pnt2d Puv;
958
959 if (myType == GeomAbs_Line ) P = ElCLib::Value(U,myLin );
960 else if (myType == GeomAbs_Circle) P = ElCLib::Value(U,myCirc);
961 else {
962 myCurve->D0(U,Puv);
963 mySurface->D0(Puv.X(),Puv.Y(),P);
964 }
965
966 return P;
967}
968
969//=======================================================================
970//function : D0
971//purpose :
972//=======================================================================
973
974void Adaptor3d_CurveOnSurface::D0(const Standard_Real U ,
975 gp_Pnt& P) const
976{
977 gp_Pnt2d Puv;
978
979 if (myType == GeomAbs_Line ) P = ElCLib::Value(U,myLin );
980 else if (myType == GeomAbs_Circle) P = ElCLib::Value(U,myCirc);
981 else {
982 myCurve->D0(U,Puv);
983 mySurface->D0(Puv.X(),Puv.Y(),P);
984 }
985
986}
987
988
989//=======================================================================
990//function : D1
991//purpose :
992//=======================================================================
993
994void Adaptor3d_CurveOnSurface::D1(const Standard_Real U ,
995 gp_Pnt& P,
996 gp_Vec& V) const
997{
998 gp_Pnt2d Puv;
999 gp_Vec2d Duv;
1000 gp_Vec D1U,D1V;
1001
1002 Standard_Real FP = myCurve->FirstParameter();
1003 Standard_Real LP = myCurve->LastParameter();
1004
1005 Standard_Real Tol= Precision::PConfusion()/10;
1006 if( ( Abs(U-FP)<Tol)&&(!myFirstSurf.IsNull()) )
1007 {
1008 myCurve->D1(U,Puv,Duv);
1009 myFirstSurf->D1(Puv.X(),Puv.Y(),P,D1U,D1V);
1010 V.SetLinearForm(Duv.X(),D1U,Duv.Y(),D1V);
1011 }
1012 else
1013 if( (Abs(U-LP)<Tol)&&(!myLastSurf.IsNull()) )
1014 {
1015 myCurve->D1(U,Puv,Duv);
1016 myLastSurf->D1(Puv.X(),Puv.Y(),P,D1U,D1V);
1017 V.SetLinearForm(Duv.X(),D1U,Duv.Y(),D1V);
1018 }
1019 else
1020 if (myType == GeomAbs_Line ) ElCLib::D1(U,myLin ,P,V);
1021 else if (myType == GeomAbs_Circle) ElCLib::D1(U,myCirc,P,V);
1022 else {
1023 myCurve->D1(U,Puv,Duv);
1024 mySurface->D1(Puv.X(),Puv.Y(),P,D1U,D1V);
1025 V.SetLinearForm(Duv.X(),D1U,Duv.Y(),D1V);
1026 }
1027}
1028//=======================================================================
1029//function : D2
1030//purpose :
1031//=======================================================================
1032
1033void Adaptor3d_CurveOnSurface::D2(const Standard_Real U,
1034 gp_Pnt& P,
1035 gp_Vec& V1,
1036 gp_Vec& V2) const
1037{
1038 gp_Pnt2d UV;
1039 gp_Vec2d DW,D2W;
1040 gp_Vec D1U,D1V,D2U,D2V,D2UV;
1041
1042 Standard_Real FP = myCurve->FirstParameter();
1043 Standard_Real LP = myCurve->LastParameter();
1044
1045 Standard_Real Tol= Precision::PConfusion()/10;
1046 if( (Abs(U-FP)<Tol)&&(!myFirstSurf.IsNull()) )
1047 {
1048 myCurve->D2(U,UV,DW,D2W);
1049 myFirstSurf->D2(UV.X(),UV.Y(),P,D1U,D1V,D2U,D2V,D2UV);
1050
1051 V1.SetLinearForm(DW.X(),D1U,DW.Y(),D1V);
1052 V2.SetLinearForm(D2W.X(), D1U, D2W.Y(), D1V, 2.*DW.X()*DW.Y(),D2UV);
1053 V2.SetLinearForm(DW.X()*DW.X(), D2U, DW.Y()*DW.Y(), D2V, V2);
1054 }
1055 else
1056 if( (Abs(U-LP)<Tol)&&(!myLastSurf.IsNull()) )
1057 {
1058 myCurve->D2(U,UV,DW,D2W);
1059 myLastSurf->D2(UV.X(),UV.Y(),P,D1U,D1V,D2U,D2V,D2UV);
1060
1061 V1.SetLinearForm(DW.X(),D1U,DW.Y(),D1V);
1062 V2.SetLinearForm(D2W.X(), D1U, D2W.Y(), D1V, 2.*DW.X()*DW.Y(),D2UV);
1063 V2.SetLinearForm(DW.X()*DW.X(), D2U, DW.Y()*DW.Y(), D2V, V2);
1064 }
1065 else
1066 if (myType == GeomAbs_Line ) {
1067 ElCLib::D1(U,myLin,P,V1);
1068 V2.SetCoord(0.,0.,0.);
1069 }
1070 else if (myType == GeomAbs_Circle) ElCLib::D2(U,myCirc,P,V1,V2);
1071 else {
1072 myCurve->D2(U,UV,DW,D2W);
1073 mySurface->D2(UV.X(),UV.Y(),P,D1U,D1V,D2U,D2V,D2UV);
1074
1075 V1.SetLinearForm(DW.X(),D1U,DW.Y(),D1V);
1076 V2.SetLinearForm(D2W.X(), D1U, D2W.Y(), D1V, 2.*DW.X()*DW.Y(),D2UV);
1077 V2.SetLinearForm(DW.X()*DW.X(), D2U, DW.Y()*DW.Y(), D2V, V2);
1078 }
1079}
1080
1081//=======================================================================
1082//function : D3
1083//purpose :
1084//=======================================================================
1085
1086void Adaptor3d_CurveOnSurface::D3
1087 (const Standard_Real U,
1088 gp_Pnt& P,
1089 gp_Vec& V1,
1090 gp_Vec& V2,
1091 gp_Vec& V3) const
1092{
1093
1094 Standard_Real Tol= Precision::PConfusion()/10;
1095 gp_Pnt2d UV;
1096 gp_Vec2d DW,D2W,D3W;
1097 gp_Vec D1U,D1V,D2U,D2V,D2UV,D3U,D3V,D3UUV,D3UVV;
1098
1099 Standard_Real FP = myCurve->FirstParameter();
1100 Standard_Real LP = myCurve->LastParameter();
1101
1102 if( (Abs(U-FP)<Tol)&&(!myFirstSurf.IsNull()) )
1103 { myCurve->D3(U,UV,DW,D2W,D3W);
1104 myFirstSurf->D3(UV.X(),UV.Y(),P,D1U,D1V,D2U,D2V,D2UV,D3U,D3V,D3UUV,D3UVV);
1105 V1.SetLinearForm(DW.X(),D1U,DW.Y(),D1V);
1106 V2.SetLinearForm(D2W.X(), D1U, D2W.Y(), D1V, 2.*DW.X()*DW.Y(),D2UV);
1107 V2.SetLinearForm(DW.X()*DW.X(), D2U, DW.Y()*DW.Y(), D2V, V2);
1108 V3=SetLinearForm( DW, D2W, D3W, D1U, D1V, D2U, D2V, D2UV, D3U, D3V, D3UUV, D3UVV);
1109 }else
1110
1111 if( (Abs(U-LP)<Tol)&&(!myLastSurf.IsNull()) )
1112 { myCurve->D3(U,UV,DW,D2W,D3W);
1113 myLastSurf->D3(UV.X(),UV.Y(),P,D1U,D1V,D2U,D2V,D2UV,D3U,D3V,D3UUV,D3UVV);
1114 V1.SetLinearForm(DW.X(),D1U,DW.Y(),D1V);
1115
1116 V2.SetLinearForm(D2W.X(), D1U, D2W.Y(), D1V, 2.*DW.X()*DW.Y(),D2UV);
1117 V2.SetLinearForm(DW.X()*DW.X(), D2U, DW.Y()*DW.Y(), D2V, V2);
1118 V3=SetLinearForm( DW, D2W, D3W, D1U, D1V, D2U, D2V, D2UV, D3U, D3V, D3UUV, D3UVV);
1119 }
1120 else
1121 if (myType == GeomAbs_Line ) {
1122 ElCLib::D1(U,myLin,P,V1);
1123 V2.SetCoord(0.,0.,0.);
1124 V3.SetCoord(0.,0.,0.);
1125 }
1126 else if (myType == GeomAbs_Circle) ElCLib::D3(U,myCirc,P,V1,V2,V3);
1127 else {
1128 myCurve->D3(U,UV,DW,D2W,D3W);
1129 mySurface->D3(UV.X(),UV.Y(),P,D1U,D1V,D2U,D2V,D2UV,D3U,D3V,D3UUV,D3UVV);
1130 V1.SetLinearForm(DW.X(),D1U,DW.Y(),D1V);
1131
1132 V2.SetLinearForm(D2W.X(), D1U, D2W.Y(), D1V, 2.*DW.X()*DW.Y(),D2UV);
1133 V2.SetLinearForm(DW.X()*DW.X(), D2U, DW.Y()*DW.Y(), D2V, V2);
1134 V3=SetLinearForm( DW, D2W, D3W, D1U, D1V, D2U, D2V, D2UV, D3U, D3V, D3UUV, D3UVV);
1135 }
1136}
1137
1138
1139//=======================================================================
1140//function : DN
1141//purpose :
1142//=======================================================================
1143
1144gp_Vec Adaptor3d_CurveOnSurface::DN
1145 (const Standard_Real U,
1146 const Standard_Integer N) const
1147{
1148 gp_Pnt P;
1149 gp_Vec V1, V2, V;
1150 switch (N) {
1151 case 1:
1152 D1(U,P,V);
1153 break ;
1154 case 2:
1155 D2(U,P,V1,V);
1156 break ;
1157 case 3:
1158 D3(U,P,V1,V2,V);
1159 break ;
1160 default:
1161 Standard_NotImplemented::Raise("Adaptor3d_CurveOnSurface:DN");
1162 break;
1163 }
1164 return V;
1165}
1166
1167
1168//=======================================================================
1169//function : Resolution
1170//purpose :
1171//=======================================================================
1172
1173Standard_Real Adaptor3d_CurveOnSurface::Resolution
1174 (const Standard_Real R3d) const
1175{
1176 Standard_Real ru,rv;
1177 ru = mySurface->UResolution(R3d);
1178 rv = mySurface->VResolution(R3d);
1179 return myCurve->Resolution(Min(ru,rv));
1180}
1181
1182
1183//=======================================================================
1184//function : GetType
1185//purpose :
1186//=======================================================================
1187
1188GeomAbs_CurveType Adaptor3d_CurveOnSurface::GetType() const
1189{
1190 return myType;
1191}
1192
1193
1194//=======================================================================
1195//function : Line
1196//purpose :
1197//=======================================================================
1198
1199gp_Lin Adaptor3d_CurveOnSurface::Line() const
1200{
1201 Standard_NoSuchObject_Raise_if(myType != GeomAbs_Line, "Adaptor3d_CurveOnSurface::Line(): curve is not a line")
1202 return myLin;
1203}
1204
1205//=======================================================================
1206//function : Circle
1207//purpose :
1208//=======================================================================
1209
1210gp_Circ Adaptor3d_CurveOnSurface::Circle() const
1211{
1212 Standard_NoSuchObject_Raise_if(myType != GeomAbs_Circle, "Adaptor3d_CurveOnSurface::Line(): curve is not a circle")
1213 return myCirc;
1214}
1215
1216//=======================================================================
1217//function : Ellipse
1218//purpose :
1219//=======================================================================
1220
1221gp_Elips Adaptor3d_CurveOnSurface::Ellipse() const
1222{
1223 return to3d(mySurface->Plane(),myCurve->Ellipse());
1224}
1225
1226//=======================================================================
1227//function : Hyperbola
1228//purpose :
1229//=======================================================================
1230
1231gp_Hypr Adaptor3d_CurveOnSurface::Hyperbola() const
1232{
1233 return to3d(mySurface->Plane(),myCurve->Hyperbola());
1234}
1235
1236//=======================================================================
1237//function : Parabola
1238//purpose :
1239//=======================================================================
1240
1241gp_Parab Adaptor3d_CurveOnSurface::Parabola() const
1242{
1243 return to3d(mySurface->Plane(),myCurve->Parabola());
1244}
1245
1246Standard_Integer Adaptor3d_CurveOnSurface::Degree() const
1247{
1248
1249 // on a parametric surface should multiply
1250 // return TheCurve2dTool::Degree(myCurve);
1251
1252 return myCurve->Degree();
1253}
1254
1255//=======================================================================
1256//function : IsRational
1257//purpose :
1258//=======================================================================
1259
1260Standard_Boolean Adaptor3d_CurveOnSurface::IsRational() const
1261{
1262 return ( myCurve->IsRational() ||
1263 mySurface->IsURational() ||
1264 mySurface->IsVRational() );
1265}
1266
1267//=======================================================================
1268//function : NbPoles
1269//purpose :
1270//=======================================================================
1271
1272Standard_Integer Adaptor3d_CurveOnSurface::NbPoles() const
1273{
1274 // on a parametric surface should multiply
1275 return myCurve->NbPoles();
1276}
1277
1278//=======================================================================
1279//function : NbKnots
1280//purpose :
1281//=======================================================================
1282
1283Standard_Integer Adaptor3d_CurveOnSurface::NbKnots() const {
1284 if (mySurface->GetType()==GeomAbs_Plane)
1285 return myCurve->NbKnots();
1286 else {
1287 Standard_NoSuchObject::Raise();
1288 return 0;
1289 }
1290}
1291
1292//=======================================================================
1293//function : Bezier
1294//purpose :
1295//=======================================================================
1296
1297Handle(Geom_BezierCurve) Adaptor3d_CurveOnSurface::Bezier() const
1298{
1299 Standard_NoSuchObject_Raise_if
1300 ( mySurface->GetType() != GeomAbs_Plane,
1301 "Adaptor3d_CurveOnSurface : Bezier");
1302
1303 Handle(Geom2d_BezierCurve) Bez2d = myCurve->Bezier();
1304 Standard_Integer NbPoles = Bez2d->NbPoles();
1305
1306 const gp_Pln& Plane = mySurface->Plane();
1307
1308 TColgp_Array1OfPnt Poles(1,NbPoles);
1309 for ( Standard_Integer i=1; i<= NbPoles; i++) {
1310 Poles(i) = to3d( Plane, Bez2d->Pole(i));
1311 }
1312 Handle(Geom_BezierCurve) Bez;
1313
1314 if (Bez2d->IsRational()) {
1315 TColStd_Array1OfReal Weights(1,NbPoles);
1316 Bez2d->Weights(Weights);
1317 Bez = new Geom_BezierCurve(Poles,Weights);
1318 }
1319 else {
1320 Bez = new Geom_BezierCurve(Poles);
1321 }
1322 return Bez;
1323}
1324
1325//=======================================================================
1326//function : BSpline
1327//purpose :
1328//=======================================================================
1329
1330Handle(Geom_BSplineCurve) Adaptor3d_CurveOnSurface::BSpline() const
1331{
1332 Standard_NoSuchObject_Raise_if
1333 ( mySurface->GetType() != GeomAbs_Plane,
1334 "Adaptor3d_CurveOnSurface : BSpline");
1335
1336 Handle(Geom2d_BSplineCurve) Bsp2d = myCurve->BSpline();
1337 Standard_Integer NbPoles = Bsp2d->NbPoles();
1338
1339 const gp_Pln& Plane = mySurface->Plane();
1340
1341 TColgp_Array1OfPnt Poles(1,NbPoles);
1342 for ( Standard_Integer i=1; i<= NbPoles; i++) {
1343 Poles(i) = to3d( Plane, Bsp2d->Pole(i));
1344 }
1345
1346 TColStd_Array1OfReal Knots(1,Bsp2d->NbKnots());
1347 TColStd_Array1OfInteger Mults(1,Bsp2d->NbKnots());
1348 Bsp2d->Knots(Knots);
1349 Bsp2d->Multiplicities(Mults);
1350
1351 Handle(Geom_BSplineCurve) Bsp;
1352
1353 if (Bsp2d->IsRational()) {
1354 TColStd_Array1OfReal Weights(1,NbPoles);
1355 Bsp2d->Weights(Weights);
1356 Bsp = new Geom_BSplineCurve(Poles,Weights,Knots,Mults,
1357 Bsp2d->Degree(),
1358 Bsp2d->IsPeriodic());
1359 }
1360 else {
1361 Bsp = new Geom_BSplineCurve(Poles,Knots,Mults,
1362 Bsp2d->Degree(),
1363 Bsp2d->IsPeriodic());
1364 }
1365 return Bsp;
1366}
1367
1368//=======================================================================
1369//function : GetCurve
1370//purpose :
1371//=======================================================================
1372
1373const Handle(Adaptor2d_HCurve2d)& Adaptor3d_CurveOnSurface::GetCurve() const
1374{
1375 return myCurve;
1376}
1377
1378//=======================================================================
1379//function : GetSurface
1380//purpose :
1381//=======================================================================
1382
1383const Handle(Adaptor3d_HSurface)& Adaptor3d_CurveOnSurface::GetSurface() const
1384{
1385 return mySurface;
1386}
1387
1388//=======================================================================
1389//function : ChangeCurve
1390//purpose :
1391//=======================================================================
1392
1393Handle(Adaptor2d_HCurve2d)& Adaptor3d_CurveOnSurface::ChangeCurve()
1394{
1395 return myCurve;
1396}
1397
1398//=======================================================================
1399//function : ChangeSurface
1400//purpose :
1401//=======================================================================
1402
1403Handle(Adaptor3d_HSurface)& Adaptor3d_CurveOnSurface::ChangeSurface() {
1404 return mySurface;
1405}
1406
1407//=======================================================================
1408//function : EvalKPart
1409//purpose :
1410//=======================================================================
1411
1412void Adaptor3d_CurveOnSurface::EvalKPart()
1413{
1414 myType = GeomAbs_OtherCurve;
1415
1416 GeomAbs_SurfaceType STy = mySurface->GetType();
1417 GeomAbs_CurveType CTy = myCurve->GetType();
1418 if (STy == GeomAbs_Plane) {
1419 myType = CTy;
1420 if (myType == GeomAbs_Circle)
1421 myCirc = to3d(mySurface->Plane(),myCurve->Circle());
1422 else if (myType == GeomAbs_Line) {
1423 gp_Pnt P;
1424 gp_Vec V;
1425 gp_Pnt2d Puv;
1426 gp_Vec2d Duv;
1427 myCurve->D1(0.,Puv,Duv);
1428 gp_Vec D1U,D1V;
1429 mySurface->D1(Puv.X(),Puv.Y(),P,D1U,D1V);
1430 V.SetLinearForm(Duv.X(),D1U,Duv.Y(),D1V);
1431 myLin = gp_Lin(P,V);
1432 }
1433 }
1434 else {
1435 if ( CTy == GeomAbs_Line) {
1436 gp_Dir2d D = myCurve->Line().Direction();
1437 if ( D.IsParallel(gp::DX2d(),Precision::Angular())) { // Iso V.
1438 if ( STy == GeomAbs_Sphere) {
1439 gp_Pnt2d P = myCurve->Line().Location();
c6541a0c 1440 if ( Abs( Abs(P.Y()) -M_PI/2. ) >= Precision::PConfusion()) {
7fd59977 1441 myType = GeomAbs_Circle;
1442 gp_Sphere Sph = mySurface->Sphere();
1443 gp_Ax3 Axis = Sph.Position();
1444 myCirc = ElSLib::SphereVIso(Axis,
1445 Sph.Radius(),
1446 P.Y());
1447 gp_Dir DRev = Axis.XDirection().Crossed(Axis.YDirection());
1448 gp_Ax1 AxeRev(Axis.Location(), DRev);
1449 myCirc.Rotate(AxeRev, P.X());
1450 if ( D.IsOpposite(gp::DX2d(),Precision::Angular())) {
1451 gp_Ax2 Ax = myCirc.Position();
1452 Ax.SetDirection(Ax.Direction().Reversed());
1453 myCirc.SetPosition(Ax);
1454 }
1455 }
1456 }
1457 else if ( STy == GeomAbs_Cylinder) {
1458 myType = GeomAbs_Circle;
1459 gp_Cylinder Cyl = mySurface->Cylinder();
1460 gp_Pnt2d P = myCurve->Line().Location();
1461 gp_Ax3 Axis = Cyl.Position();
1462 myCirc = ElSLib::CylinderVIso(Axis,
1463 Cyl.Radius(),
1464 P.Y());
1465 gp_Dir DRev = Axis.XDirection().Crossed(Axis.YDirection());
1466 gp_Ax1 AxeRev(Axis.Location(), DRev);
1467 myCirc.Rotate(AxeRev, P.X());
1468 if ( D.IsOpposite(gp::DX2d(),Precision::Angular())) {
1469 gp_Ax2 Ax = myCirc.Position();
1470 Ax.SetDirection(Ax.Direction().Reversed());
1471 myCirc.SetPosition(Ax);
1472 }
1473 }
1474 else if ( STy == GeomAbs_Cone) {
1475 myType = GeomAbs_Circle;
1476 gp_Cone Cone = mySurface->Cone();
1477 gp_Pnt2d P = myCurve->Line().Location();
1478 gp_Ax3 Axis = Cone.Position();
1479 myCirc = ElSLib::ConeVIso(Axis,
1480 Cone.RefRadius(),
1481 Cone.SemiAngle(),
1482 P.Y());
1483 gp_Dir DRev = Axis.XDirection().Crossed(Axis.YDirection());
1484 gp_Ax1 AxeRev(Axis.Location(), DRev);
1485 myCirc.Rotate(AxeRev, P.X());
1486 if ( D.IsOpposite(gp::DX2d(),Precision::Angular())) {
1487 gp_Ax2 Ax = myCirc.Position();
1488 Ax.SetDirection(Ax.Direction().Reversed());
1489 myCirc.SetPosition(Ax);
1490 }
1491 }
1492 else if ( STy == GeomAbs_Torus) {
1493 myType = GeomAbs_Circle;
1494 gp_Torus Tore = mySurface->Torus();
1495 gp_Pnt2d P = myCurve->Line().Location();
1496 gp_Ax3 Axis = Tore.Position();
1497 myCirc = ElSLib::TorusVIso(Axis,
1498 Tore.MajorRadius(),
1499 Tore.MinorRadius(),
1500 P.Y());
1501 gp_Dir DRev = Axis.XDirection().Crossed(Axis.YDirection());
1502 gp_Ax1 AxeRev(Axis.Location(), DRev);
1503 myCirc.Rotate(AxeRev, P.X());
1504 if ( D.IsOpposite(gp::DX2d(),Precision::Angular())) {
1505 gp_Ax2 Ax = myCirc.Position();
1506 Ax.SetDirection(Ax.Direction().Reversed());
1507 myCirc.SetPosition(Ax);
1508 }
1509 }
1510 }
1511 else if ( D.IsParallel(gp::DY2d(),Precision::Angular())) { // Iso U.
1512 if ( STy == GeomAbs_Sphere) {
1513 myType = GeomAbs_Circle;
1514 gp_Sphere Sph = mySurface->Sphere();
1515 gp_Pnt2d P = myCurve->Line().Location();
1516 gp_Ax3 Axis = Sph.Position();
1517 // calcul de l'iso 0.
1518 myCirc = ElSLib::SphereUIso(Axis, Sph.Radius(),0.);
1519
1520 // mise a sameparameter (rotation du cercle - decalage du Y)
1521 gp_Dir DRev = Axis.XDirection().Crossed(Axis. Direction());
1522 gp_Ax1 AxeRev(Axis.Location(),DRev);
1523 myCirc.Rotate(AxeRev, P.Y());
1524
1525 // transformation en iso U ( = P.X())
1526 DRev = Axis.XDirection().Crossed(Axis.YDirection());
1527 AxeRev = gp_Ax1(Axis.Location(), DRev);
1528 myCirc.Rotate(AxeRev, P.X());
1529
1530 if ( D.IsOpposite(gp::DY2d(),Precision::Angular())) {
1531 gp_Ax2 Ax = myCirc.Position();
1532 Ax.SetDirection(Ax.Direction().Reversed());
1533 myCirc.SetPosition(Ax);
1534 }
1535 }
1536 else if ( STy == GeomAbs_Cylinder) {
1537 myType = GeomAbs_Line;
1538 gp_Cylinder Cyl = mySurface->Cylinder();
1539 gp_Pnt2d P = myCurve->Line().Location();
1540 myLin = ElSLib::CylinderUIso(Cyl.Position(),
1541 Cyl.Radius(),
1542 P.X());
1543 gp_Vec Tr(myLin.Direction());
1544 Tr.Multiply(P.Y());
1545 myLin.Translate(Tr);
1546 if ( D.IsOpposite(gp::DY2d(),Precision::Angular()))
1547 myLin.Reverse();
1548 }
1549 else if ( STy == GeomAbs_Cone) {
1550 myType = GeomAbs_Line;
1551 gp_Cone Cone = mySurface->Cone();
1552 gp_Pnt2d P = myCurve->Line().Location();
1553 myLin = ElSLib::ConeUIso(Cone.Position(),
1554 Cone.RefRadius(),
1555 Cone.SemiAngle(),
1556 P.X());
1557 gp_Vec Tr(myLin.Direction());
1558 Tr.Multiply(P.Y());
1559 myLin.Translate(Tr);
1560 if ( D.IsOpposite(gp::DY2d(),Precision::Angular()))
1561 myLin.Reverse();
1562 }
1563 else if ( STy == GeomAbs_Torus) {
1564 myType = GeomAbs_Circle;
1565 gp_Torus Tore = mySurface->Torus();
1566 gp_Pnt2d P = myCurve->Line().Location();
1567 gp_Ax3 Axis = Tore.Position();
1568 myCirc = ElSLib::TorusUIso(Axis,
1569 Tore.MajorRadius(),
1570 Tore.MinorRadius(),
1571 P.X());
1572 myCirc.Rotate(myCirc.Axis(),P.Y());
1573
1574 if ( D.IsOpposite(gp::DY2d(),Precision::Angular())) {
1575 gp_Ax2 Ax = myCirc.Position();
1576 Ax.SetDirection(Ax.Direction().Reversed());
1577 myCirc.SetPosition(Ax);
1578 }
1579 }
1580 }
1581 }
1582 }
1583}
1584//=======================================================================
1585//function :EvalFirstLastSurf
1586//purpose :
1587//=======================================================================
1588
1589void Adaptor3d_CurveOnSurface::EvalFirstLastSurf()
1590{
1591 Standard_Real FirstPar,LastPar;
1592 gp_Pnt2d UV, LeftBot, RightTop;
1593 gp_Vec2d DUV;
1594 Standard_Real Tol= Precision::PConfusion()/10;
1595 Standard_Boolean Ok = Standard_True;
1596
1597
1598 FirstPar=myCurve->FirstParameter();
1599 myCurve->D1(FirstPar,UV,DUV);
1600
1601 if(DUV.Magnitude() <= Tol) Ok = Standard_False;
1602
1603 if(Ok) {
1604
1605 switch(mySurface->GetType()) {
1606 case GeomAbs_BSplineSurface :
1607 LocatePart(UV,DUV,mySurface,LeftBot,RightTop);
1608 break;
1609 case GeomAbs_SurfaceOfRevolution :
1610 case GeomAbs_SurfaceOfExtrusion :
1611 Ok = LocatePart_RevExt(UV,DUV,mySurface,LeftBot,RightTop);
1612 break;
1613 case GeomAbs_OffsetSurface :
1614 Ok = LocatePart_Offset(UV,DUV,mySurface,LeftBot,RightTop);
1615 break;
1616 default :
1617 Standard_NotImplemented::Raise("Adaptor3d_CurveOnSurface::EvalFirstLastSurf");
1618 break;
1619 }
1620 }
1621
1622 if (Ok) {
1623
1624 CompareBounds(LeftBot,RightTop); //SVV
1625
1626 myFirstSurf = mySurface->UTrim(LeftBot.X(),RightTop.X(),Tol);
1627 myFirstSurf = myFirstSurf->VTrim(LeftBot.Y(),RightTop.Y(),Tol);
1628
1629 }
1630 else {
1631 myFirstSurf = mySurface;
1632 }
1633
1634 LastPar=myCurve->LastParameter();
1635 Ok = Standard_True;
1636 myCurve->D1(LastPar,UV,DUV);
1637 DUV.Reverse(); //We want the other part
1638
1639 if(DUV.Magnitude() <= Tol) Ok = Standard_False;
1640
1641 if(Ok) {
1642
1643 switch(mySurface->GetType()) {
1644 case GeomAbs_BSplineSurface :
1645 LocatePart(UV,DUV,mySurface,LeftBot,RightTop);
1646 break;
1647 case GeomAbs_SurfaceOfRevolution :
1648 case GeomAbs_SurfaceOfExtrusion :
1649 Ok = LocatePart_RevExt(UV,DUV,mySurface,LeftBot,RightTop);
1650 break;
1651 case GeomAbs_OffsetSurface :
1652 Ok = LocatePart_Offset(UV,DUV,mySurface,LeftBot,RightTop);
1653 break;
1654 default :
1655 Standard_NotImplemented::Raise("Adaptor3d_CurveOnSurface::EvalFirstLastSurf");
1656 break;
1657 }
1658 }
1659
1660 if (Ok) {
1661
1662 CompareBounds(LeftBot, RightTop); //SVV
1663
1664 myLastSurf = mySurface->UTrim(LeftBot.X(),RightTop.X(),Tol);
1665 myLastSurf = myLastSurf->VTrim(LeftBot.Y(),RightTop.Y(),Tol);
1666
1667 }
1668 else {
1669 myLastSurf = mySurface;
1670 }
1671}
1672
1673//=======================================================================
1674//function :LocatePart_RevExt
1675//purpose : processes Knots
1676//=======================================================================
1677
1678Standard_Boolean Adaptor3d_CurveOnSurface::LocatePart_RevExt(const gp_Pnt2d& UV,
1679 const gp_Vec2d& DUV,
1680 const Handle(Adaptor3d_HSurface)& S,
1681 gp_Pnt2d& LeftBot,
1682 gp_Pnt2d& RightTop) const
1683{
1684 Handle(Adaptor3d_HCurve) AHC = S->BasisCurve();
1685
1686 if (AHC->GetType() == GeomAbs_BSplineCurve) {
1687 Handle( Geom_BSplineCurve) BSplC;
1688 BSplC = AHC->BSpline();
1689
1690 if((S->GetType())==GeomAbs_SurfaceOfExtrusion) {
1691 Locate1Coord(1,UV,DUV,BSplC,LeftBot,RightTop);
1692 Locate2Coord(2,UV,DUV,S->FirstVParameter(),S->LastVParameter(),LeftBot,RightTop);
1693 }
1694 else if((S->GetType())==GeomAbs_SurfaceOfRevolution) {
1695 Locate1Coord(2,UV,DUV,BSplC,LeftBot,RightTop);
1696 Locate2Coord(1,UV,DUV,S->FirstUParameter(),S->LastUParameter(),LeftBot,RightTop);
1697 }
1698
1699 Standard_Real u1,u2,v1,v2;
1700 ReverseParam(LeftBot.X(),RightTop.X(),u1,u2);
1701 LeftBot.SetX(u1);
1702 RightTop.SetX(u2);
1703 ReverseParam(LeftBot.Y(),RightTop.Y(),v1,v2);
1704 LeftBot.SetY(v1);
1705 RightTop.SetY(v2);
1706 return Standard_True;
1707 }
1708 return Standard_False;
1709}
1710
1711//=======================================================================
1712//function :LocatePart_OffsetSurface
1713//purpose :
1714//=======================================================================
1715
1716Standard_Boolean Adaptor3d_CurveOnSurface::
1717 LocatePart_Offset(const gp_Pnt2d& UV, const gp_Vec2d& DUV,
1718 const Handle(Adaptor3d_HSurface)& S,
1719 gp_Pnt2d& LeftBot, gp_Pnt2d& RightTop) const
1720{
1721 Standard_Boolean Ok = Standard_True;
1722 Handle( Adaptor3d_HSurface) AHS;
1723 Handle( Geom_BSplineSurface) BSplS;
1724 AHS = S->BasisSurface();
1725 GeomAbs_SurfaceType BasisSType = AHS->GetType();
1726 switch(BasisSType) {
1727 case GeomAbs_SurfaceOfRevolution:
1728 case GeomAbs_SurfaceOfExtrusion :
1729 Ok = LocatePart_RevExt(UV,DUV,AHS,LeftBot,RightTop);
1730 break;
1731
1732 case GeomAbs_BSplineSurface:
1733 LocatePart(UV,DUV,AHS,LeftBot,RightTop);
1734 break;
1735
1736 default :
1737 Ok=Standard_False;
1738 }
1739 return Ok;
1740}
1741
1742//=======================================================================
1743//function :LocatePart
1744//purpose : for BSplineSurface
1745//=======================================================================
1746
1747void Adaptor3d_CurveOnSurface::LocatePart(const gp_Pnt2d& UV, const gp_Vec2d& DUV,
1748 const Handle(Adaptor3d_HSurface)& S,
1749 gp_Pnt2d& LeftBot, gp_Pnt2d& RightTop) const
1750{
1751 Handle( Geom_BSplineSurface) BSplS;
1752 BSplS = S->BSpline();
1753 Standard_Boolean DUIsNull=Standard_False,
1754 DVIsNull=Standard_False;
1755
1756 Locate1Coord(1,UV,DUV,BSplS,DUIsNull,LeftBot,RightTop);
1757 Locate1Coord(2,UV,DUV,BSplS,DVIsNull,LeftBot,RightTop);
1758
1759 if((DUIsNull==Standard_True)&&(DVIsNull==Standard_False)) {
1760 TColStd_Array1OfReal ArrU(1,BSplS->NbUKnots());
1761 BSplS->UKnots(ArrU);
1762 Locate2Coord(1,UV,DUV,BSplS,ArrU,LeftBot,RightTop);
1763 }
1764 else if((DVIsNull==Standard_True)&&(DUIsNull==Standard_False)) {
1765 TColStd_Array1OfReal ArrV(1,BSplS->NbVKnots());
1766 BSplS->VKnots(ArrV);
1767 Locate2Coord(2,UV,DUV,BSplS,ArrV,LeftBot,RightTop);
1768 }
1769}
1770
1771
1772
Open CASCADE Technology repository