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1 | // Copyright (c) 1995-1999 Matra Datavision |
2 | // Copyright (c) 1999-2012 OPEN CASCADE SAS |
3 | // |
4 | // The content of this file is subject to the Open CASCADE Technology Public |
5 | // License Version 6.5 (the "License"). You may not use the content of this file |
6 | // except in compliance with the License. Please obtain a copy of the License |
7 | // at http://www.opencascade.org and read it completely before using this file. |
8 | // |
9 | // The Initial Developer of the Original Code is Open CASCADE S.A.S., having its |
10 | // main offices at: 1, place des Freres Montgolfier, 78280 Guyancourt, France. |
11 | // |
12 | // The Original Code and all software distributed under the License is |
13 | // distributed on an "AS IS" basis, without warranty of any kind, and the |
14 | // Initial Developer hereby disclaims all such warranties, including without |
15 | // limitation, any warranties of merchantability, fitness for a particular |
16 | // purpose or non-infringement. Please see the License for the specific terms |
17 | // and conditions governing the rights and limitations under the License. |
18 | |
7fd59977 |
19 | //26-04-1997 modified by pmn : Initialisation plus fine de la resolution |
20 | |
21 | Standard_Integer Blend_Walking::ArcToRecadre(const Standard_Boolean OnFirst, |
22 | const math_Vector& sol, |
23 | const Standard_Integer PrevIndex, |
24 | gp_Pnt2d& lastpt2d, |
25 | gp_Pnt2d& pt2d, |
26 | Standard_Real& ponarc) |
27 | { |
28 | Standard_Integer IndexSol = 0, nbarc = 0; |
29 | Standard_Boolean ok = Standard_False; |
30 | Standard_Boolean byinter = (line->NbPoints() != 0), okinter = 0; |
31 | Standard_Real distmin = RealLast(); |
1d47d8d0 |
32 | Standard_Real uprev = 0.,vprev = 0., prm = 0., dist = 0.; |
7fd59977 |
33 | Handle(TheTopolTool) Iter; |
34 | |
35 | if (OnFirst) { |
36 | if(byinter) previousP.ParametersOnS1(uprev,vprev); |
37 | pt2d.SetCoord(sol(1),sol(2)); |
38 | Iter = recdomain1; |
39 | } |
40 | else { |
41 | if(byinter) previousP.ParametersOnS2(uprev,vprev); |
42 | pt2d.SetCoord(sol(3),sol(4)); |
43 | Iter = recdomain2; |
44 | } |
45 | lastpt2d.SetCoord(uprev,vprev); |
46 | Iter->Init(); |
47 | while (Iter->More()) { |
48 | nbarc++; ok = 0; |
49 | if (OnFirst) { |
50 | if(byinter) { |
51 | ok = okinter = TheBlendTool::Inters(pt2d,lastpt2d, |
52 | surf1,Iter->Value(),prm,dist); |
53 | } |
54 | if(!ok) ok = TheBlendTool::Project(pt2d,surf1,Iter->Value(),prm,dist); |
55 | } |
56 | else { |
57 | if(byinter) { |
58 | ok = okinter = TheBlendTool::Inters(pt2d,lastpt2d, |
59 | surf2,Iter->Value(),prm,dist); |
60 | } |
61 | if(!ok) ok = TheBlendTool::Project(pt2d,surf2,Iter->Value(),prm,dist); |
62 | } |
63 | if (ok && (nbarc != PrevIndex) ) { |
64 | if (dist<distmin || okinter) { |
65 | distmin = dist; |
66 | ponarc = prm; |
67 | IndexSol = nbarc; |
68 | if(okinter && (PrevIndex==0)) break; |
69 | } |
70 | } |
71 | Iter->Next(); |
72 | } |
73 | return IndexSol; |
74 | } |
75 | |
76 | Standard_Boolean Blend_Walking::Recadre(Blend_FuncInv& FuncInv, |
77 | const Standard_Boolean OnFirst, |
78 | const math_Vector& sol, |
79 | math_Vector& solrst, |
80 | Standard_Integer& Indexsol, |
81 | Standard_Boolean& IsVtx, |
82 | TheVertex& Vtx, |
83 | const Standard_Real Extrap) |
84 | |
85 | { |
86 | Standard_Boolean jalons_Trouve = Standard_False; |
87 | Standard_Boolean recadre = Standard_True, ok; |
88 | Standard_Boolean byinter = (line->NbPoints() != 0); |
7fd59977 |
89 | Standard_Integer LeJalon = 0; |
1d47d8d0 |
90 | |
7fd59977 |
91 | Standard_Integer nbarc; |
92 | Standard_Real dist,prm,pmin, vtol; |
93 | gp_Pnt2d pt2d, lastpt2d; |
94 | |
95 | math_Vector toler(1,4),infb(1,4),supb(1,4),valsol(1,4); |
96 | |
97 | Handle(Adaptor2d_HCurve2d) thecur; |
98 | Handle(TheTopolTool) Iter; |
99 | |
100 | if (OnFirst) Iter = recdomain1; |
101 | else Iter = recdomain2; |
102 | |
103 | Indexsol = ArcToRecadre(OnFirst, sol, 0, |
104 | lastpt2d, pt2d, pmin); |
105 | IsVtx = Standard_False; |
106 | if (Indexsol == 0) { |
107 | return Standard_False; |
108 | } |
109 | |
110 | Iter->Init(); |
111 | nbarc = 1; |
112 | while (nbarc < Indexsol) { |
113 | nbarc++; |
114 | Iter->Next(); |
115 | } |
116 | |
117 | TheArc thearc = Iter->Value(); |
118 | |
119 | if (OnFirst) { |
120 | thecur = TheBlendTool::CurveOnSurf(thearc,surf1); |
121 | } |
122 | else { |
123 | thecur = TheBlendTool::CurveOnSurf(thearc,surf2); |
124 | } |
125 | |
126 | // Le probleme a resoudre |
127 | FuncInv.Set(OnFirst,thecur); |
128 | FuncInv.GetBounds(infb,supb); |
129 | infb(2) -= Extrap; |
130 | supb(2) += Extrap; |
131 | |
132 | FuncInv.GetTolerance(toler,tolesp/10);//Il vaut mieux garder un peu de marge |
133 | math_FunctionSetRoot rsnld(FuncInv,toler,35); |
134 | toler *= 10; // Mais on fait les tests correctements |
135 | |
136 | // Calcul d'un point d'init |
137 | Standard_Real ufirst,ulast; |
138 | TheBlendTool::Bounds(thecur, ufirst,ulast); |
139 | // Pour aider a trouver les coins singuliers on recadre eventuelement le paramtere |
140 | if (Abs(pmin-ufirst) < Abs(ulast-ufirst)/1000) { |
141 | pmin = ufirst; |
142 | } |
143 | if (Abs(pmin-ulast) < Abs(ulast-ufirst)/1000) { |
144 | pmin = ulast; |
145 | } |
146 | |
147 | if (byinter) { |
148 | Standard_Real lastParam = previousP.Parameter(); |
149 | // Verifie que le recadrage n'est pas un jalons |
150 | if (jalons.Length()!=0) { |
151 | Standard_Real t1, t2, t; |
152 | Standard_Boolean Cherche=Standard_True; |
153 | Standard_Integer ii; |
154 | if (lastParam < param) { |
155 | t1 = lastParam; t2 = param; |
156 | } |
157 | else { |
158 | t1 = param; t2 = lastParam; |
159 | } |
160 | for (ii=1; ii<=jalons.Length() && Cherche; ii++) { |
161 | t = jalons.Value(ii).Parameter(); |
162 | if (((t1 < t) && (t2 > t)) || (t==param)) { |
163 | jalons_Trouve = Standard_True; |
164 | LeJalon = ii; |
165 | Cherche = Standard_False; //Ne marche que si l'on sort simultanement |
166 | } |
167 | else Cherche = t < t2; // On s'arrete si t>=t2; |
168 | } |
169 | } |
170 | if (!jalons_Trouve) { |
171 | //Initialisation par Interpolation |
172 | Standard_Real lambda, u, v; |
173 | gp_Pnt2d Pnt, Pnt1, Pnt2;//, POnC; |
174 | thecur->D0(pmin, Pnt); |
175 | if (OnFirst) { |
176 | previousP.ParametersOnS2(u,v); |
177 | Pnt1.SetCoord(u, v); |
178 | Pnt2.SetCoord(sol(3), sol(4)); |
179 | } |
180 | else { |
181 | previousP.ParametersOnS1(u,v); |
182 | Pnt1.SetCoord(u, v); |
183 | Pnt2.SetCoord(sol(1), sol(2)); |
184 | } |
185 | |
186 | lambda = Pnt.Distance(lastpt2d); |
187 | if (lambda > 1.e-12) lambda /= Pnt.Distance(lastpt2d) + Pnt.Distance(pt2d); |
188 | else lambda = 0; |
189 | solrst(1) = pmin; |
190 | solrst(2) = (1-lambda)*lastParam + lambda*param; |
191 | solrst(3) = (1-lambda)*Pnt1.X() + lambda*Pnt2.X(); |
192 | solrst(4) = (1-lambda)*Pnt1.Y() + lambda*Pnt2.Y(); |
193 | } |
194 | } |
195 | else { // sinon on initialise par le dernier point calcule |
196 | solrst(1) = pmin; |
197 | solrst(2) = param; |
198 | if (OnFirst) { |
199 | solrst(3) = sol(3); |
200 | solrst(4) = sol(4); |
201 | } |
202 | else { |
203 | solrst(3) = sol(1); |
204 | solrst(4) = sol(2); |
205 | } |
206 | } |
207 | |
208 | if (jalons_Trouve) { // On recupere le jalon |
209 | Blend_Point MonJalon; |
210 | Standard_Boolean periodic; |
211 | Standard_Real uperiod = 0, vperiod = 0; |
212 | gp_Pnt2d Pnt; |
213 | Standard_Real distaux; |
214 | MonJalon = jalons.Value(LeJalon); |
215 | solrst(2) = MonJalon.Parameter(); |
216 | if (OnFirst) { |
217 | MonJalon.ParametersOnS2(solrst(3), solrst(4)); |
218 | periodic = (surf2->IsUPeriodic() || surf2->IsVPeriodic()); |
219 | } |
220 | else { |
221 | MonJalon.ParametersOnS1(solrst(3), solrst(4)); |
222 | periodic = (surf1->IsUPeriodic() || surf1->IsVPeriodic()); |
223 | } |
224 | |
225 | // Recadrage eventuelle pour le cas periodique |
226 | if (periodic) { |
227 | Handle(Adaptor3d_HSurface) surf; |
228 | if (OnFirst) surf = surf2; |
229 | else surf = surf1; |
230 | |
231 | lastpt2d = thecur->Value(pmin); |
232 | |
233 | if (surf->IsUPeriodic()) { |
234 | uperiod = surf->UPeriod(); |
235 | if (solrst(3)-lastpt2d.X() > uperiod*0.6) solrst(3) -= uperiod; |
236 | if (solrst(3)-lastpt2d.X() < -uperiod*0.6) solrst(3) += uperiod; |
237 | } |
238 | if (surf->IsVPeriodic()) { |
239 | vperiod = surf->VPeriod(); |
240 | if (solrst(4)-lastpt2d.Y() > vperiod*0.6) solrst(4) -= vperiod; |
241 | if (solrst(4)-lastpt2d.Y() < -vperiod*0.6) solrst(4) += vperiod; |
242 | } |
243 | } |
244 | |
245 | // Pour le parametre sur arc il faut projeter... |
246 | pt2d.SetCoord(solrst(3), solrst(4)); |
247 | Pnt = thecur->Value(ufirst); |
248 | dist = pt2d.Distance(Pnt); |
249 | solrst(1) = ufirst; |
250 | Pnt = thecur->Value(ulast); |
251 | distaux = pt2d.Distance(Pnt); |
252 | if ( distaux < dist) { |
253 | solrst(1) = ulast; |
254 | dist = distaux; |
255 | } |
256 | |
257 | if (dist>Precision::PConfusion()) { |
258 | prm = pmin; |
259 | if (OnFirst) { |
260 | ok = TheBlendTool::Project(pt2d,surf1,thearc,prm,distaux); |
261 | } |
262 | else { |
263 | ok = TheBlendTool::Project(pt2d,surf2,thearc,prm,distaux); |
264 | } |
265 | if (ok && (pt2d.Distance(thecur->Value(prm)) < dist)) solrst(1) = prm; |
266 | else solrst(1) = pmin; |
267 | } |
268 | // On verifie le jalon |
269 | jalons_Trouve = (FuncInv.IsSolution(solrst,tolesp)); |
270 | } |
271 | |
272 | if (!jalons_Trouve) { |
273 | // Resolution... |
274 | rsnld.Perform(FuncInv,solrst,infb,supb); |
275 | if (!rsnld.IsDone()) { |
276 | cout << "Walking::Recadre : RSNLD not done " << endl; |
277 | recadre = Standard_False; |
278 | } |
279 | else { |
280 | rsnld.Root(solrst); |
281 | recadre = FuncInv.IsSolution(solrst,tolesp); |
282 | } |
283 | } |
284 | |
285 | // En cas d'echecs, on regarde si un autre arc |
286 | // peut faire l'affaire (cas des sorties a proximite d'un vertex) |
287 | dist = (ulast - ufirst)/100; |
288 | if ((!recadre) && |
289 | ((Abs(pmin-ulast) < dist) || (Abs(pmin-ufirst) < dist)) ) { |
290 | |
291 | Indexsol = ArcToRecadre(OnFirst, sol, Indexsol, |
292 | lastpt2d, pt2d, pmin); |
293 | if (Indexsol == 0) { |
294 | return Standard_False; |
295 | } |
296 | |
297 | Iter->Init(); |
298 | nbarc = 1; |
299 | while (nbarc < Indexsol) { |
300 | nbarc++; |
301 | Iter->Next(); |
302 | } |
303 | thearc = Iter->Value(); |
304 | |
305 | if (OnFirst) { |
306 | thecur = TheBlendTool::CurveOnSurf(thearc,surf1); |
307 | } |
308 | else { |
309 | thecur = TheBlendTool::CurveOnSurf(thearc,surf2); |
310 | } |
311 | solrst(1) = pmin; |
312 | // Le probleme a resoudre |
313 | FuncInv.Set(OnFirst,thecur); |
314 | FuncInv.GetBounds(infb,supb); |
315 | FuncInv.GetTolerance(toler,tolesp/10);//Il vaut mieux garder un peu de marge |
316 | math_FunctionSetRoot rsnld(FuncInv,toler,35); |
317 | toler *= 10; // Mais on fait les tests correctements |
318 | // Resolution... |
319 | rsnld.Perform(FuncInv,solrst,infb,supb); |
320 | |
321 | if (!rsnld.IsDone()) { |
322 | cout << "Walking::Recadre : RSNLD not done " << endl; |
323 | recadre = Standard_False; |
324 | } |
325 | else { |
326 | rsnld.Root(solrst); |
327 | recadre = FuncInv.IsSolution(solrst,tolesp); |
328 | } |
329 | } |
330 | |
331 | if (recadre) { |
332 | // Classification topologique |
333 | if (OnFirst) { |
334 | thecur = TheBlendTool::CurveOnSurf(thearc,surf1); |
335 | } |
336 | else { |
337 | thecur = TheBlendTool::CurveOnSurf(thearc,surf2); |
338 | } |
339 | TheBlendTool::Bounds(thecur, ufirst,ulast); |
340 | |
341 | Iter->Initialize(thearc); |
342 | Iter->InitVertexIterator(); |
343 | IsVtx = !Iter->MoreVertex(); |
344 | while (!IsVtx) { |
345 | Vtx = Iter->Vertex(); |
346 | vtol = 0.4*Abs(ulast-ufirst); // Un majorant de la tolerance |
347 | if (vtol > Max(TheBlendTool::Tolerance(Vtx,thearc), toler(1))) |
348 | vtol = Max(TheBlendTool::Tolerance(Vtx,thearc), toler(1)); |
349 | if (Abs(TheBlendTool::Parameter(Vtx,thearc)-solrst(1)) <= vtol) { |
350 | IsVtx = Standard_True; // On est dans la boule du vertex ou |
351 | // le vertex est dans la "boule" du recadrage |
352 | } |
353 | else { |
354 | Iter->NextVertex(); |
355 | IsVtx = !Iter->MoreVertex(); |
356 | } |
357 | } |
358 | if (!Iter->MoreVertex()) { |
359 | IsVtx = Standard_False; |
360 | } |
361 | return Standard_True; |
362 | } |
363 | return Standard_False; |
364 | } |
365 | |
366 | |
367 | void Blend_Walking::Transition(const Standard_Boolean OnFirst, |
368 | const TheArc& A, |
369 | const Standard_Real Param, |
370 | IntSurf_Transition& TLine, |
371 | IntSurf_Transition& TArc) |
372 | { |
373 | Standard_Boolean computetranstionaveclacorde = 0; |
374 | gp_Vec tgline; |
375 | Blend_Point prevprev; |
376 | |
377 | if(previousP.IsTangencyPoint()){ |
378 | if(line->NbPoints() < 2) return; |
379 | computetranstionaveclacorde = 1; |
380 | if(sens < 0){ |
381 | prevprev = line->Point(2); |
382 | } |
383 | else { |
384 | prevprev = line->Point(line->NbPoints() - 1); |
385 | } |
386 | } |
387 | gp_Pnt2d p2d; |
388 | gp_Vec2d dp2d; |
389 | |
390 | gp_Pnt pbid; |
391 | gp_Vec d1u,d1v,normale,tgrst; |
392 | gp_Dir thenormal; |
393 | CSLib_NormalStatus stat; |
394 | |
395 | TheArcTool::D1(A,Param,p2d,dp2d); |
396 | if (OnFirst) { |
397 | TheSurfaceTool::D1(surf1,p2d.X(),p2d.Y(),pbid,d1u,d1v); |
398 | if(!computetranstionaveclacorde) tgline = previousP.TangentOnS1(); |
399 | else tgline = gp_Vec(prevprev.PointOnS1(),previousP.PointOnS1()); |
400 | } |
401 | else { |
402 | TheSurfaceTool::D1(surf2,p2d.X(),p2d.Y(),pbid,d1u,d1v); |
403 | if(!computetranstionaveclacorde) tgline = previousP.TangentOnS2(); |
404 | else tgline = gp_Vec(prevprev.PointOnS2(),previousP.PointOnS2()); |
405 | } |
406 | |
407 | tgrst.SetLinearForm(dp2d.X(),d1u,dp2d.Y(),d1v); |
408 | |
409 | CSLib::Normal(d1u, d1v, 1.e-9, stat, thenormal); |
410 | if (stat == CSLib_Defined) normale.SetXYZ(thenormal.XYZ()); |
411 | else { |
412 | Handle(Adaptor3d_HSurface) surf; |
413 | if (OnFirst) surf = surf1; |
414 | else surf = surf2; |
415 | Standard_Integer iu, iv; |
416 | TColgp_Array2OfVec Der(0, 2 , 0, 2); |
417 | TheSurfaceTool::D2(surf,p2d.X(),p2d.Y(),pbid, Der(1,0), Der(0,1), |
418 | Der(2,0), Der(0,2), Der(1,1)); |
419 | Der(2,1) = TheSurfaceTool::DN(surf, p2d.X(), p2d.Y(), 2,1); |
420 | Der(1,2) = TheSurfaceTool::DN(surf,p2d.X(),p2d.Y(), 1,2); |
421 | Der(2,2) = TheSurfaceTool::DN(surf,p2d.X(),p2d.Y(), 2,2); |
422 | CSLib::Normal(2, Der, 1.e-9, |
423 | p2d.X(), p2d.Y(), |
424 | TheSurfaceTool::FirstUParameter(surf), |
425 | TheSurfaceTool::LastUParameter(surf), |
426 | TheSurfaceTool::FirstVParameter(surf), |
427 | TheSurfaceTool::LastVParameter(surf), |
428 | stat, thenormal, iu, iv); |
429 | normale.SetXYZ(thenormal.XYZ()); |
430 | #if DEB |
431 | if (stat == CSLib_InfinityOfSolutions) |
432 | cout << "Blend_Walking::Transition : Infinite de Normal" << endl; |
433 | #endif |
434 | } |
435 | |
436 | IntSurf::MakeTransition(tgline,tgrst,normale,TLine,TArc); |
437 | |
438 | } |
439 | |
440 | |
441 | void Blend_Walking::MakeExtremity(TheExtremity& Extrem, |
442 | const Standard_Boolean OnFirst, |
443 | const Standard_Integer Index, |
444 | const Standard_Real Param, |
445 | const Standard_Boolean IsVtx, |
446 | const TheVertex& Vtx) |
447 | { |
448 | |
449 | IntSurf_Transition Tline,Tarc; |
450 | Standard_Integer nbarc; |
451 | Handle(TheTopolTool) Iter; |
452 | |
453 | if (OnFirst) { |
454 | Extrem.SetValue(previousP.PointOnS1(), |
455 | sol(1),sol(2), |
456 | previousP.Parameter(), tolesp); |
457 | if (!previousP.IsTangencyPoint()) |
458 | Extrem.SetTangent(previousP.TangentOnS1()); |
459 | Iter = recdomain1; |
460 | } |
461 | else { |
462 | Extrem.SetValue(previousP.PointOnS2(), |
463 | sol(3),sol(4), |
464 | previousP.Parameter(), tolesp); |
465 | if (!previousP.IsTangencyPoint()) |
466 | Extrem.SetTangent(previousP.TangentOnS2()); |
467 | Iter = recdomain2; |
468 | } |
469 | |
470 | Iter->Init(); |
471 | nbarc = 1; |
472 | |
473 | while (nbarc < Index) { |
474 | nbarc++; |
475 | Iter->Next(); |
476 | } |
477 | |
478 | Transition(OnFirst,Iter->Value(),Param,Tline,Tarc); |
479 | Extrem.AddArc(Iter->Value(),Param,Tline,Tarc); |
480 | if (IsVtx) Extrem.SetVertex(Vtx); |
481 | } |
482 | |
483 | void Blend_Walking::MakeSingularExtremity( TheExtremity& Extrem, |
484 | const Standard_Boolean OnFirst, |
485 | const TheVertex& Vtx) |
486 | { |
487 | IntSurf_Transition Tline,Tarc; |
488 | Handle(TheTopolTool) Iter; |
489 | Standard_Real prm; |
490 | |
491 | if (OnFirst) { |
492 | Iter = recdomain1; |
493 | if (!previousP.IsTangencyPoint()) |
494 | Extrem.SetTangent(previousP.TangentOnS1()); |
495 | } |
496 | else { |
497 | if (!previousP.IsTangencyPoint()) |
498 | Extrem.SetTangent(previousP.TangentOnS2()); |
499 | Iter = recdomain2; |
500 | } |
501 | |
502 | Iter->Init(); |
503 | Extrem.SetVertex(Vtx); |
504 | while (Iter->More()) { |
505 | TheArc arc = Iter->Value(); |
506 | Iter->Initialize(arc); |
507 | Iter->InitVertexIterator(); |
508 | while (Iter->MoreVertex()) { |
509 | if (Iter->Identical(Vtx,Iter->Vertex())) { |
510 | prm = TheBlendTool::Parameter(Vtx,arc); |
511 | Transition(OnFirst,arc,prm,Tline,Tarc); |
512 | Extrem.AddArc(arc,prm,Tline,Tarc); |
513 | } |
514 | Iter->NextVertex(); |
515 | } |
516 | Iter->Next(); |
517 | } |
518 | } |
519 | |
520 | |
521 | |
522 | |
523 | |
524 | |
525 | |
526 | |
527 | |
528 | |
529 | |