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b311480e | 1 | // Created on: 2001-02-26 |
2 | // Created by: Peter KURNEV | |
973c2be1 | 3 | // Copyright (c) 2001-2014 OPEN CASCADE SAS |
7fd59977 | 4 | // |
973c2be1 | 5 | // This file is part of Open CASCADE Technology software library. |
b311480e | 6 | // |
d5f74e42 | 7 | // This library is free software; you can redistribute it and/or modify it under |
8 | // the terms of the GNU Lesser General Public License version 2.1 as published | |
973c2be1 | 9 | // by the Free Software Foundation, with special exception defined in the file |
10 | // OCCT_LGPL_EXCEPTION.txt. Consult the file LICENSE_LGPL_21.txt included in OCCT | |
11 | // distribution for complete text of the license and disclaimer of any warranty. | |
b311480e | 12 | // |
973c2be1 | 13 | // Alternatively, this file may be used under the terms of Open CASCADE |
14 | // commercial license or contractual agreement. | |
7fd59977 | 15 | |
16 | #include <IntTools_EdgeFace.ixx> | |
17 | ||
18 | ||
19 | ||
20 | #include <IntTools_CArray1OfReal.hxx> | |
21 | #include <IntTools.hxx> | |
22 | #include <IntTools_CArray1OfInteger.hxx> | |
23 | #include <IntTools_Range.hxx> | |
24 | #include <IntTools_Tools.hxx> | |
25 | #include <IntTools_Array1OfRange.hxx> | |
26 | #include <IntTools_QuickSortRange.hxx> | |
27 | #include <IntTools_CompareRange.hxx> | |
28 | #include <IntTools_CommonPrt.hxx> | |
29 | #include <IntTools_Root.hxx> | |
30 | #include <IntTools_BeanFaceIntersector.hxx> | |
1e143abb | 31 | #include <IntTools_Context.hxx> |
7fd59977 | 32 | |
33 | #include <BRep_Tool.hxx> | |
34 | ||
35 | #include <GeomAdaptor_Surface.hxx> | |
36 | #include <GeomAdaptor_Curve.hxx> | |
37 | ||
38 | #include <Geom_Surface.hxx> | |
39 | #include <Geom_Curve.hxx> | |
40 | ||
41 | #include <GeomAPI_ProjectPointOnSurf.hxx> | |
42 | ||
43 | #include <Precision.hxx> | |
44 | ||
45 | #include <Bnd_Box.hxx> | |
46 | #include <BndLib_AddSurface.hxx> | |
47 | ||
48 | #include <gp_Cylinder.hxx> | |
49 | #include <gp_Ax1.hxx> | |
50 | #include <gp_Lin.hxx> | |
51 | #include <gp_Cone.hxx> | |
52 | #include <gp_Torus.hxx> | |
53 | #include <gp_Circ.hxx> | |
54 | #include <gp_Pln.hxx> | |
55 | ||
56 | ||
57 | #include <Extrema_ExtCS.hxx> | |
58 | #include <Extrema_POnCurv.hxx> | |
59 | #include <Extrema_POnSurf.hxx> | |
60 | ||
e30616a7 | 61 | |
7fd59977 | 62 | #include <IntCurveSurface_HInter.hxx> |
63 | #include <GeomAdaptor_HCurve.hxx> | |
64 | #include <GeomAdaptor_HSurface.hxx> | |
65 | #include <IntCurveSurface_IntersectionPoint.hxx> | |
66 | ||
67 | #ifdef WNT | |
68 | #pragma warning ( disable : 4101 ) | |
69 | #endif | |
70 | ||
71 | static | |
72 | Standard_Boolean IsCoplanar (const BRepAdaptor_Curve& , | |
bd28b2af | 73 | const BRepAdaptor_Surface& ); |
7fd59977 | 74 | static |
75 | Standard_Boolean IsRadius (const BRepAdaptor_Curve& aCurve , | |
bd28b2af | 76 | const BRepAdaptor_Surface& aSurface, |
77 | const Standard_Real aCriteria); | |
7fd59977 | 78 | static |
79 | Standard_Integer AdaptiveDiscret (const Standard_Integer iDiscret, | |
bd28b2af | 80 | const BRepAdaptor_Curve& aCurve , |
81 | const BRepAdaptor_Surface& aSurface); | |
7fd59977 | 82 | |
83 | //======================================================================= | |
84 | //function : IntTools_EdgeFace::IntTools_EdgeFace | |
85 | //purpose : | |
86 | //======================================================================= | |
87 | IntTools_EdgeFace::IntTools_EdgeFace() | |
88 | { | |
89 | myTolE=1.e-7; | |
90 | myTolF=1.e-7; | |
91 | myDiscret=30; | |
92 | myEpsT =1e-12; | |
93 | myEpsNull=1e-12; | |
94 | myDeflection=0.01; | |
95 | myIsDone=Standard_False; | |
96 | myErrorStatus=1; | |
97 | myParallel=Standard_False; | |
98 | myPar1=0.; | |
4f189102 P |
99 | } |
100 | //======================================================================= | |
101 | //function : SetContext | |
102 | //purpose : | |
103 | //======================================================================= | |
1e143abb | 104 | void IntTools_EdgeFace::SetContext(const Handle(IntTools_Context)& theContext) |
4f189102 P |
105 | { |
106 | myContext = theContext; | |
7fd59977 | 107 | } |
108 | ||
4f189102 P |
109 | //======================================================================= |
110 | //function : Context | |
111 | //purpose : | |
112 | //======================================================================= | |
1e143abb | 113 | const Handle(IntTools_Context)& IntTools_EdgeFace::Context()const |
4f189102 P |
114 | { |
115 | return myContext; | |
116 | } | |
7fd59977 | 117 | //======================================================================= |
118 | //function : SetEdge | |
119 | //purpose : | |
120 | //======================================================================= | |
e30616a7 | 121 | void IntTools_EdgeFace::SetEdge(const TopoDS_Edge& anEdge) |
7fd59977 | 122 | { |
123 | myEdge=anEdge; | |
124 | } | |
7fd59977 | 125 | //======================================================================= |
126 | //function : SetFace | |
127 | //purpose : | |
128 | //======================================================================= | |
e30616a7 | 129 | void IntTools_EdgeFace::SetFace(const TopoDS_Face& aFace) |
7fd59977 | 130 | { |
131 | myFace=aFace; | |
132 | } | |
7fd59977 | 133 | //======================================================================= |
134 | //function : SetTolE | |
135 | //purpose : | |
136 | //======================================================================= | |
e30616a7 | 137 | void IntTools_EdgeFace::SetTolE(const Standard_Real aTol) |
7fd59977 | 138 | { |
139 | myTolE=aTol; | |
140 | } | |
141 | //======================================================================= | |
142 | //function : SetTolF | |
143 | //purpose : | |
144 | //======================================================================= | |
e30616a7 | 145 | void IntTools_EdgeFace::SetTolF(const Standard_Real aTol) |
7fd59977 | 146 | { |
147 | myTolF=aTol; | |
148 | } | |
e30616a7 | 149 | //======================================================================= |
150 | //function : Edge | |
151 | //purpose : | |
152 | //======================================================================= | |
153 | const TopoDS_Edge& IntTools_EdgeFace::Edge()const | |
154 | { | |
155 | return myEdge; | |
156 | } | |
157 | //======================================================================= | |
158 | //function : Face | |
159 | //purpose : | |
160 | //======================================================================= | |
161 | const TopoDS_Face& IntTools_EdgeFace::Face()const | |
162 | { | |
163 | return myFace; | |
164 | } | |
165 | //======================================================================= | |
166 | //function : TolE | |
167 | //purpose : | |
168 | //======================================================================= | |
169 | Standard_Real IntTools_EdgeFace::TolE()const | |
170 | { | |
171 | return myTolE; | |
172 | } | |
173 | //======================================================================= | |
174 | //function : TolF | |
175 | //purpose : | |
176 | //======================================================================= | |
177 | Standard_Real IntTools_EdgeFace::TolF()const | |
178 | { | |
179 | return myTolF; | |
180 | } | |
7fd59977 | 181 | //======================================================================= |
182 | //function : SetDiscretize | |
183 | //purpose : | |
184 | //======================================================================= | |
e30616a7 | 185 | void IntTools_EdgeFace::SetDiscretize(const Standard_Integer aDiscret) |
7fd59977 | 186 | { |
187 | myDiscret=aDiscret; | |
188 | } | |
189 | //======================================================================= | |
190 | //function : SetDeflection | |
191 | //purpose : | |
192 | //======================================================================= | |
e30616a7 | 193 | void IntTools_EdgeFace::SetDeflection(const Standard_Real aDefl) |
7fd59977 | 194 | { |
195 | myDeflection=aDefl; | |
196 | } | |
197 | //======================================================================= | |
198 | //function : SetEpsilonT | |
199 | //purpose : | |
200 | //======================================================================= | |
e30616a7 | 201 | void IntTools_EdgeFace::SetEpsilonT(const Standard_Real anEpsT) |
7fd59977 | 202 | { |
203 | myEpsT=anEpsT; | |
204 | } | |
205 | //======================================================================= | |
206 | //function : SetEpsilonNull | |
207 | //purpose : | |
208 | //======================================================================= | |
e30616a7 | 209 | void IntTools_EdgeFace::SetEpsilonNull(const Standard_Real anEpsNull) |
7fd59977 | 210 | { |
211 | myEpsNull=anEpsNull; | |
212 | } | |
213 | ||
214 | //======================================================================= | |
215 | //function : SetRange | |
216 | //purpose : | |
217 | //======================================================================= | |
e30616a7 | 218 | void IntTools_EdgeFace::SetRange(const Standard_Real aFirst, |
219 | const Standard_Real aLast) | |
7fd59977 | 220 | { |
221 | myRange.SetFirst (aFirst); | |
222 | myRange.SetLast (aLast); | |
223 | } | |
224 | ||
225 | //======================================================================= | |
226 | //function : SetRange | |
227 | //purpose : | |
228 | //======================================================================= | |
e30616a7 | 229 | void IntTools_EdgeFace::SetRange(const IntTools_Range& aRange) |
7fd59977 | 230 | { |
231 | myRange.SetFirst (aRange.First()); | |
232 | myRange.SetLast (aRange.Last()); | |
233 | } | |
234 | //======================================================================= | |
235 | //function : IsDone | |
236 | //purpose : | |
237 | //======================================================================= | |
4f189102 | 238 | Standard_Boolean IntTools_EdgeFace::IsDone()const |
7fd59977 | 239 | { |
240 | return myIsDone; | |
241 | } | |
242 | //======================================================================= | |
243 | //function : ErrorStatus | |
244 | //purpose : | |
245 | //======================================================================= | |
4f189102 | 246 | Standard_Integer IntTools_EdgeFace::ErrorStatus()const |
7fd59977 | 247 | { |
248 | return myErrorStatus; | |
249 | } | |
250 | //======================================================================= | |
251 | //function : CommonParts | |
252 | //purpose : | |
253 | //======================================================================= | |
4f189102 | 254 | const IntTools_SequenceOfCommonPrts& IntTools_EdgeFace::CommonParts() const |
7fd59977 | 255 | { |
256 | return mySeqOfCommonPrts; | |
257 | } | |
258 | //======================================================================= | |
259 | //function : Range | |
260 | //purpose : | |
261 | //======================================================================= | |
4f189102 | 262 | const IntTools_Range& IntTools_EdgeFace::Range() const |
7fd59977 | 263 | { |
264 | return myRange; | |
265 | } | |
266 | ||
267 | //======================================================================= | |
268 | //function : CheckData | |
269 | //purpose : | |
270 | //======================================================================= | |
4f189102 | 271 | void IntTools_EdgeFace::CheckData() |
7fd59977 | 272 | { |
273 | if (BRep_Tool::Degenerated(myEdge)) { | |
274 | myErrorStatus=2; | |
275 | } | |
276 | if (!BRep_Tool::IsGeometric(myEdge)) { | |
277 | myErrorStatus=3; | |
278 | } | |
279 | } | |
7fd59977 | 280 | //======================================================================= |
281 | //function : Prepare | |
282 | //purpose : | |
283 | //======================================================================= | |
e30616a7 | 284 | void IntTools_EdgeFace::Prepare() |
7fd59977 | 285 | { |
286 | Standard_Integer pri; | |
287 | IntTools_CArray1OfReal aPars; | |
288 | ||
289 | // | |
290 | // 1.Prepare Curve's data and Surface's data | |
291 | myC.Initialize(myEdge); | |
292 | GeomAbs_CurveType aCurveType; | |
293 | aCurveType=myC.GetType(); | |
294 | // | |
295 | // 2.Prepare myCriteria | |
296 | if (aCurveType==GeomAbs_BSplineCurve|| | |
e30616a7 | 297 | aCurveType==GeomAbs_BezierCurve) { |
7fd59977 | 298 | myCriteria=1.5*myTolE+myTolF; |
299 | } | |
300 | else { | |
301 | myCriteria=myTolE+myTolF; | |
302 | } | |
303 | // 2.a myTmin, myTmax | |
304 | myTmin=myRange.First(); | |
305 | myTmax=myRange.Last(); | |
306 | // 2.b myFClass2d | |
307 | myS.Initialize (myFace,Standard_True); | |
308 | myFClass2d.Init(myFace, 1.e-6); | |
309 | // | |
310 | // 2.c Prepare adaptive myDiscret | |
311 | myDiscret=AdaptiveDiscret(myDiscret, myC, myS); | |
312 | // | |
313 | // | |
314 | // 3.Prepare myPars | |
e30616a7 | 315 | pri = IntTools::PrepareArgs(myC, myTmax, myTmin, |
316 | myDiscret, myDeflection, aPars); | |
7fd59977 | 317 | if (pri) { |
318 | myErrorStatus=6; | |
319 | return; | |
320 | } | |
321 | // 4. | |
322 | //ProjectableRanges | |
323 | Standard_Integer i, iProj, aNb, aNbProj, ind0, ind1; | |
324 | Standard_Real t0, t1, tRoot; | |
325 | ||
326 | // | |
327 | // Table of Projection's function values | |
328 | aNb=aPars.Length(); | |
329 | IntTools_CArray1OfInteger anArrProjectability; | |
330 | anArrProjectability.Resize(aNb); | |
331 | ||
332 | for (iProj=0, i=0; i<aNb; i++) { | |
333 | t0=aPars(i); | |
334 | aNbProj=IsProjectable (t0); | |
335 | ||
336 | anArrProjectability(i)=0; | |
337 | if (aNbProj) { | |
338 | anArrProjectability(i)=1; | |
339 | iProj++; | |
340 | } | |
341 | } | |
342 | // | |
343 | // Checking | |
344 | if (!iProj ) { | |
345 | myErrorStatus=7; | |
346 | return; | |
347 | } | |
348 | ||
349 | // | |
350 | // Projectable Ranges | |
351 | IntTools_Range aRange; | |
352 | ||
353 | ind0=anArrProjectability(0); | |
354 | if (ind0) { | |
355 | t0=aPars(0); | |
356 | aRange.SetFirst(t0); | |
357 | } | |
358 | ||
359 | for(i=1; i<aNb; i++) { | |
360 | ind1=anArrProjectability(i); | |
361 | t0=aPars(i-1); | |
362 | t1=aPars(i); | |
363 | ||
364 | if (i==(aNb-1)) { | |
365 | if (ind1 && ind0) { | |
e30616a7 | 366 | aRange.SetLast(t1); |
367 | myProjectableRanges.Append(aRange); | |
7fd59977 | 368 | } |
369 | if (ind1 && !ind0) { | |
e30616a7 | 370 | FindProjectableRoot(t0, t1, ind0, ind1, tRoot); |
371 | aRange.SetFirst(tRoot); | |
372 | aRange.SetLast(t1); | |
373 | myProjectableRanges.Append(aRange); | |
7fd59977 | 374 | } |
375 | // | |
376 | if (ind0 && !ind1) { | |
e30616a7 | 377 | FindProjectableRoot(t0, t1, ind0, ind1, tRoot); |
378 | aRange.SetLast(tRoot); | |
379 | myProjectableRanges.Append(aRange); | |
7fd59977 | 380 | } |
381 | // | |
382 | break; | |
383 | } | |
384 | ||
385 | if (ind0 != ind1) { | |
386 | FindProjectableRoot(t0, t1, ind0, ind1, tRoot); | |
387 | ||
388 | if (ind0 && !ind1) { | |
e30616a7 | 389 | aRange.SetLast(tRoot); |
390 | myProjectableRanges.Append(aRange); | |
7fd59977 | 391 | } |
392 | else { | |
e30616a7 | 393 | aRange.SetFirst(tRoot); |
7fd59977 | 394 | } |
395 | } // if (ind0 != ind1) | |
396 | ind0=ind1; | |
397 | } // for(i=1; i<aNb; i++) { | |
398 | } | |
399 | ||
400 | //======================================================================= | |
401 | //function : FindProjectableRoot | |
402 | //purpose : | |
403 | //======================================================================= | |
55468283 | 404 | void IntTools_EdgeFace::FindProjectableRoot (const Standard_Real tt1, |
405 | const Standard_Real tt2, | |
406 | const Standard_Integer ff1, | |
407 | const Standard_Integer /*ff2*/, | |
408 | Standard_Real& tRoot) | |
7fd59977 | 409 | { |
410 | Standard_Real tm, t1, t2, aEpsT; | |
55468283 | 411 | Standard_Integer anIsProj1, anIsProjm; |
412 | aEpsT = 0.5 * myEpsT; | |
413 | ||
7fd59977 | 414 | // Root is inside [tt1, tt2] |
55468283 | 415 | t1 = tt1; |
416 | t2 = tt2; | |
417 | anIsProj1 = ff1; | |
418 | ||
419 | for(;;) | |
420 | { | |
421 | if (fabs(t1 - t2) < aEpsT) | |
422 | { | |
423 | tRoot = (anIsProj1) ? t1 : t2; | |
7fd59977 | 424 | return; |
425 | } | |
55468283 | 426 | tm = 0.5 * (t1 + t2); |
427 | anIsProjm = IsProjectable(tm); | |
428 | ||
429 | if (anIsProjm != anIsProj1) | |
430 | { | |
431 | t2 = tm; | |
7fd59977 | 432 | } |
55468283 | 433 | else |
434 | { | |
435 | t1 = tm; | |
436 | anIsProj1 = anIsProjm; | |
7fd59977 | 437 | } |
55468283 | 438 | } // for(;;) |
7fd59977 | 439 | } |
440 | //======================================================================= | |
441 | //function : IsProjectable | |
442 | //purpose : | |
443 | //======================================================================= | |
e30616a7 | 444 | Standard_Boolean IntTools_EdgeFace::IsProjectable |
445 | (const Standard_Real aT) const | |
7fd59977 | 446 | { |
66993778 | 447 | Standard_Boolean bFlag; |
448 | gp_Pnt aPC; | |
7fd59977 | 449 | // |
66993778 | 450 | myC.D0(aT, aPC); |
451 | bFlag=myContext->IsValidPointForFace(aPC, myFace, myCriteria); | |
7fd59977 | 452 | // |
7fd59977 | 453 | return bFlag; |
454 | } | |
7fd59977 | 455 | //======================================================================= |
456 | //function : DistanceFunction | |
457 | //purpose : | |
458 | //======================================================================= | |
e30616a7 | 459 | Standard_Real IntTools_EdgeFace::DistanceFunction |
460 | (const Standard_Real t) | |
7fd59977 | 461 | { |
96a95605 DB |
462 | Standard_Real aD; |
463 | ||
7fd59977 | 464 | // |
465 | gp_Pnt P; | |
466 | myC.D0(t, P); | |
467 | // | |
468 | Standard_Boolean bIsEqDistance; | |
469 | ||
470 | bIsEqDistance= IntTools_EdgeFace::IsEqDistance(P, myS, 1.e-7, aD); | |
471 | if (bIsEqDistance) { | |
472 | aD=aD-myCriteria; | |
473 | return aD; | |
474 | } | |
7fd59977 | 475 | |
7fd59977 | 476 | // |
477 | Standard_Boolean bFlag = Standard_False; | |
478 | ||
4f189102 P |
479 | GeomAPI_ProjectPointOnSurf& aLocProj = myContext->ProjPS(myFace); |
480 | aLocProj.Perform(P); | |
481 | bFlag = aLocProj.IsDone(); | |
482 | ||
483 | if(bFlag) { | |
484 | aD = aLocProj.LowerDistance(); | |
7fd59977 | 485 | } |
486 | // | |
487 | ||
488 | if (!bFlag) { | |
489 | myErrorStatus=11; | |
490 | return 99.; | |
491 | } | |
492 | ||
493 | // | |
494 | // aD=aProjector.LowerDistance(); | |
495 | // | |
496 | aD=aD-myCriteria; | |
497 | return aD; | |
498 | } | |
499 | // | |
500 | //======================================================================= | |
501 | //function : IsEqDistance | |
502 | //purpose : | |
503 | //======================================================================= | |
e30616a7 | 504 | Standard_Boolean IntTools_EdgeFace::IsEqDistance |
505 | (const gp_Pnt& aP, | |
506 | const BRepAdaptor_Surface& aBAS, | |
507 | const Standard_Real aTol, | |
508 | Standard_Real& aD) | |
7fd59977 | 509 | { |
510 | Standard_Boolean bRetFlag=Standard_True; | |
511 | ||
512 | GeomAbs_SurfaceType aSurfType=aBAS.GetType(); | |
513 | ||
514 | if (aSurfType==GeomAbs_Cylinder) { | |
515 | gp_Cylinder aCyl=aBAS.Cylinder(); | |
516 | const gp_Ax1& anAx1 =aCyl.Axis(); | |
517 | gp_Lin aLinAxis(anAx1); | |
518 | Standard_Real aDC, aRadius=aCyl.Radius(); | |
519 | aDC=aLinAxis.Distance(aP); | |
520 | if (aDC < aTol) { | |
521 | aD=aRadius; | |
522 | return bRetFlag; | |
523 | } | |
524 | } | |
525 | ||
526 | if (aSurfType==GeomAbs_Cone) { | |
527 | gp_Cone aCone=aBAS.Cone(); | |
528 | const gp_Ax1& anAx1 =aCone.Axis(); | |
529 | gp_Lin aLinAxis(anAx1); | |
530 | Standard_Real aDC, aRadius, aDS, aSemiAngle; | |
531 | aDC=aLinAxis.Distance(aP); | |
532 | if (aDC < aTol) { | |
533 | gp_Pnt anApex=aCone.Apex(); | |
534 | aSemiAngle=aCone.SemiAngle(); | |
535 | aDS=aP.Distance(anApex); | |
536 | ||
537 | aRadius=aDS*tan(aSemiAngle); | |
538 | aD=aRadius; | |
539 | return bRetFlag; | |
540 | } | |
541 | } | |
542 | ||
543 | if (aSurfType==GeomAbs_Torus) { | |
544 | Standard_Real aMajorRadius, aMinorRadius, aDC; | |
545 | ||
546 | gp_Torus aTorus=aBAS.Torus(); | |
547 | gp_Pnt aPLoc=aTorus.Location(); | |
548 | aMajorRadius=aTorus.MajorRadius(); | |
549 | ||
550 | aDC=fabs(aPLoc.Distance(aP)-aMajorRadius); | |
551 | if (aDC < aTol) { | |
552 | aMinorRadius=aTorus.MinorRadius(); | |
553 | aD=aMinorRadius; | |
554 | return bRetFlag; | |
555 | } | |
556 | } | |
557 | return !bRetFlag; | |
558 | } | |
559 | // | |
560 | //======================================================================= | |
561 | //function : PrepareArgsFuncArrays | |
562 | //purpose : Obtain | |
563 | // myFuncArray and myArgsArray for the interval [ta, tb] | |
e30616a7 | 564 | //======================================================================= |
565 | void IntTools_EdgeFace::PrepareArgsFuncArrays(const Standard_Real ta, | |
566 | const Standard_Real tb) | |
7fd59977 | 567 | { |
568 | IntTools_CArray1OfReal anArgs, aFunc; | |
569 | Standard_Integer i, aNb, pri; | |
570 | Standard_Real t, f, f1; | |
571 | // | |
572 | // Prepare values of arguments for the interval [ta, tb] | |
573 | pri=IntTools::PrepareArgs (myC, tb, ta, myDiscret, myDeflection, anArgs); | |
574 | ||
575 | if (pri) { | |
576 | myErrorStatus=8; | |
577 | return; | |
578 | } | |
579 | //... | |
580 | aNb=anArgs.Length(); | |
581 | ||
582 | if (!aNb){ | |
583 | myErrorStatus=9; | |
584 | return; | |
585 | } | |
586 | // | |
587 | // Prepare values of functions for the interval [ta, tb] | |
588 | aFunc.Resize(aNb); | |
589 | for (i=0; i<aNb; i++) { | |
590 | t=anArgs(i); | |
591 | f1=DistanceFunction(t); | |
592 | f=f1+myCriteria; | |
593 | ||
594 | if (myErrorStatus==11) | |
595 | return; | |
596 | ||
597 | if (f1 < myEpsNull) { | |
598 | f=0.; | |
599 | } | |
600 | aFunc(i)=f; | |
601 | } | |
602 | // | |
603 | // Add points where the derivative = 0 | |
604 | AddDerivativePoints(anArgs, aFunc); | |
605 | ||
606 | } | |
7fd59977 | 607 | //======================================================================= |
608 | //function : AddDerivativePoints | |
609 | //purpose : | |
610 | //======================================================================= | |
e30616a7 | 611 | void IntTools_EdgeFace::AddDerivativePoints |
612 | (const IntTools_CArray1OfReal& t, | |
613 | const IntTools_CArray1OfReal& f) | |
7fd59977 | 614 | { |
615 | Standard_Integer i, j, n, k, nn=100; | |
616 | Standard_Real fr, tr, tr1, dEpsNull=10.*myEpsNull; | |
617 | IntTools_CArray1OfReal fd; | |
618 | TColStd_SequenceOfReal aTSeq, aFSeq; | |
619 | ||
620 | n=t.Length(); | |
621 | fd.Resize(n+1); | |
622 | // | |
623 | // Table of derivatives | |
624 | Standard_Real dfx, tx, tx1, fx, fx1, dt=1.e-6; | |
625 | // Left limit | |
626 | tx=t(0); | |
627 | tx1=tx+dt; | |
628 | fx=f(0); | |
629 | fx1=DistanceFunction(tx1); | |
630 | fx1=fx1+myCriteria; | |
631 | if (fx1 < myEpsNull) { | |
632 | fx1=0.; | |
633 | } | |
634 | dfx=(fx1-fx)/dt; | |
635 | fd(0)=dfx; | |
636 | ||
637 | if (fabs(fd(0)) < dEpsNull){ | |
638 | fd(0)=0.; | |
639 | } | |
640 | ||
641 | ||
642 | k=n-1; | |
643 | for (i=1; i<k; i++) { | |
7fd59977 | 644 | fd(i)=.5*(f(i+1)-f(i-1))/(t(i)-t(i-1)); |
645 | if (fabs(fd(i)) < dEpsNull){ | |
646 | fd(i)=0.; | |
647 | } | |
648 | } | |
649 | // Right limit | |
650 | tx=t(n-1); | |
651 | tx1=tx-dt; | |
652 | fx=f(n-1); | |
653 | fx1=DistanceFunction(tx1); | |
654 | fx1=fx1+myCriteria; | |
655 | if (fx1 < myEpsNull) { | |
656 | fx1=0.; | |
657 | } | |
658 | dfx=(fx-fx1)/dt; | |
659 | fd(n-1)=dfx; | |
660 | ||
661 | if (fabs(fd(n-1)) < dEpsNull){ | |
662 | fd(n-1)=0.; | |
663 | } | |
664 | // | |
665 | // Finding the range where the derivatives have different signs | |
666 | // for neighbouring points | |
667 | for (i=1; i<n; i++) { | |
668 | Standard_Real fd1, fd2, t1, t2; | |
669 | t1 =t(i-1); | |
670 | t2 =t(i); | |
671 | fd1=fd(i-1); | |
672 | fd2=fd(i); | |
673 | ||
674 | if (fd1*fd2 < 0.) { | |
675 | if (fabs(fd1) < myEpsNull) { | |
e30616a7 | 676 | tr=t1; |
677 | fr=DistanceFunction(tr);//fd1; | |
7fd59977 | 678 | } |
679 | else if (fabs(fd2) < myEpsNull) { | |
e30616a7 | 680 | tr=t2; |
681 | fr=DistanceFunction(tr); | |
7fd59977 | 682 | } |
683 | else { | |
e30616a7 | 684 | tr=FindSimpleRoot(2, t1, t2, fd1); |
685 | fr=DistanceFunction(tr); | |
7fd59977 | 686 | } |
687 | ||
688 | aTSeq.Append(tr); | |
689 | aFSeq.Append(fr); | |
690 | } | |
691 | } // end of for (i=1; i<n; i++) | |
692 | // | |
693 | // remove identical t, f | |
694 | nn=aTSeq.Length(); | |
695 | if (nn) { | |
696 | for (i=1; i<=aTSeq.Length(); i++) { | |
697 | tr=aTSeq(i); | |
698 | for (j=0; j<n; j++) { | |
e30616a7 | 699 | tr1=t(j); |
700 | if (fabs (tr1-tr) < myEpsT) { | |
701 | aTSeq.Remove(i); | |
702 | aFSeq.Remove(i); | |
703 | } | |
7fd59977 | 704 | } |
705 | } | |
706 | nn=aTSeq.Length(); | |
707 | } | |
708 | // | |
709 | // sorting args and funcs in increasing order | |
710 | if (nn) { | |
711 | k=nn+n; | |
712 | IntTools_Array1OfRange anArray1OfRange(1, k); | |
713 | for (i=1; i<=n; i++) { | |
714 | anArray1OfRange(i).SetFirst(t(i-1)); | |
715 | anArray1OfRange(i).SetLast (f(i-1)); | |
716 | } | |
717 | for (i=1; i<=nn; i++) { | |
718 | anArray1OfRange(n+i).SetFirst(aTSeq(i)); | |
719 | anArray1OfRange(n+i).SetLast (aFSeq(i)); | |
720 | } | |
721 | ||
722 | IntTools_QuickSortRange aQuickSortRange; | |
723 | IntTools_CompareRange aComparator; | |
724 | aQuickSortRange.Sort (anArray1OfRange, aComparator); | |
725 | ||
726 | // filling the output arrays | |
727 | myArgsArray.Resize(k); | |
728 | myFuncArray.Resize(k); | |
729 | for (i=1; i<=k; i++) { | |
730 | myArgsArray(i-1)=anArray1OfRange(i).First(); | |
731 | myFuncArray(i-1)=anArray1OfRange(i).Last (); | |
732 | } | |
733 | } | |
734 | ||
735 | else { // nn=0 | |
736 | myArgsArray.Resize(n); | |
737 | myFuncArray.Resize(n); | |
738 | for (i=0; i<n; i++) { | |
739 | myArgsArray(i)=t(i); | |
740 | myFuncArray(i)=f(i); | |
741 | } | |
742 | } | |
743 | } | |
744 | ||
745 | //======================================================================= | |
746 | //function : DerivativeFunction | |
747 | //purpose : | |
748 | //======================================================================= | |
e30616a7 | 749 | Standard_Real IntTools_EdgeFace::DerivativeFunction |
750 | (const Standard_Real t2) | |
7fd59977 | 751 | { |
752 | Standard_Real t1, t3, aD1, aD2, aD3; | |
753 | Standard_Real dt=1.e-9; | |
754 | t1=t2-dt; | |
755 | aD1=DistanceFunction(t1); | |
756 | t3=t2+dt; | |
757 | aD3=DistanceFunction(t3); | |
758 | ||
759 | aD2=.5*(aD3-aD1)/dt; | |
760 | return aD2; | |
761 | } | |
762 | ||
763 | //======================================================================= | |
764 | //function : FindSimpleRoot | |
765 | //purpose : [private] | |
766 | //======================================================================= | |
e30616a7 | 767 | Standard_Real IntTools_EdgeFace::FindSimpleRoot |
768 | (const Standard_Integer IP, | |
769 | const Standard_Real tA, | |
770 | const Standard_Real tB, | |
771 | const Standard_Real fA) | |
7fd59977 | 772 | { |
773 | Standard_Real r, a, b, y, x0, s; | |
774 | ||
775 | a=tA; b=tB; r=fA; | |
776 | ||
302f96fb | 777 | for(;;) { |
7fd59977 | 778 | x0=.5*(a+b); |
779 | ||
780 | if (IP==1) | |
781 | y=DistanceFunction(x0); | |
782 | else | |
783 | y=DerivativeFunction(x0); | |
784 | ||
785 | if (fabs(b-a) < myEpsT || y==0.) { | |
786 | return x0; | |
787 | } | |
788 | ||
789 | ||
790 | s=y*r; | |
791 | ||
792 | if (s<0.) { | |
793 | b=x0; | |
794 | continue; | |
795 | } | |
796 | ||
797 | if (s>0.) { | |
798 | a=x0; r=y; | |
799 | } | |
800 | } | |
801 | } | |
802 | //======================================================================= | |
803 | //function : FindGoldRoot | |
804 | //purpose : [private] | |
805 | //======================================================================= | |
e30616a7 | 806 | Standard_Real IntTools_EdgeFace::FindGoldRoot |
807 | (const Standard_Real tA, | |
808 | const Standard_Real tB, | |
809 | const Standard_Real coeff) | |
7fd59977 | 810 | { |
811 | Standard_Real gs=0.61803399; | |
812 | Standard_Real a, b, xp, xl, yp, yl; | |
813 | ||
814 | a=tA; b=tB; | |
815 | ||
816 | xp=a+(b-a)*gs; | |
817 | xl=b-(b-a)*gs; | |
818 | yp=coeff*DistanceFunction(xp); | |
819 | yl=coeff*DistanceFunction(xl); | |
820 | ||
821 | ||
302f96fb | 822 | for(;;) { |
7fd59977 | 823 | |
824 | if (fabs(b-a) < myEpsT) { | |
825 | return .5*(b+a); | |
826 | } | |
827 | ||
828 | if (yp < yl) { | |
829 | a=xl; | |
830 | xl=xp; | |
831 | xp=a+(b-a)*gs; | |
832 | yp=coeff*DistanceFunction(xp); | |
833 | } | |
834 | ||
835 | else { | |
836 | b=xp; | |
837 | xp=xl; | |
838 | yp=yl; | |
839 | xl=b-(b-a)*gs; | |
840 | yl=coeff*DistanceFunction(xl); | |
841 | } | |
842 | } | |
843 | } | |
844 | ||
845 | //======================================================================= | |
846 | //function : MakeType | |
847 | //purpose : | |
848 | //======================================================================= | |
e30616a7 | 849 | Standard_Integer IntTools_EdgeFace::MakeType |
850 | (IntTools_CommonPrt& aCommonPrt) | |
7fd59977 | 851 | { |
852 | Standard_Real af1, al1; | |
295cb053 | 853 | Standard_Real df1, tm; |
7fd59977 | 854 | Standard_Boolean bAllNullFlag; |
855 | // | |
856 | bAllNullFlag=aCommonPrt.AllNullFlag(); | |
857 | if (bAllNullFlag) { | |
858 | aCommonPrt.SetType(TopAbs_EDGE); | |
859 | return 0; | |
860 | } | |
861 | // | |
862 | aCommonPrt.Range1(af1, al1); | |
863 | ||
864 | { | |
865 | gp_Pnt aPF, aPL; | |
866 | myC.D0(af1, aPF); | |
867 | myC.D0(al1, aPL); | |
868 | df1=aPF.Distance(aPL); | |
869 | Standard_Boolean isWholeRange = Standard_False; | |
870 | ||
871 | if((Abs(af1 - myRange.First()) < myC.Resolution(myCriteria)) && | |
872 | (Abs(al1 - myRange.Last()) < myC.Resolution(myCriteria))) | |
873 | isWholeRange = Standard_True; | |
e30616a7 | 874 | |
7fd59977 | 875 | |
876 | if ((df1 > myCriteria * 2.) && isWholeRange) { | |
877 | aCommonPrt.SetType(TopAbs_EDGE); | |
878 | } | |
879 | else { | |
880 | if(isWholeRange) { | |
e30616a7 | 881 | tm = (af1 + al1) * 0.5; |
882 | ||
883 | if(aPF.Distance(myC.Value(tm)) > myCriteria * 2.) { | |
884 | aCommonPrt.SetType(TopAbs_EDGE); | |
885 | return 0; | |
886 | } | |
7fd59977 | 887 | } |
e30616a7 | 888 | |
7fd59977 | 889 | if(!CheckTouch(aCommonPrt, tm)) { |
e30616a7 | 890 | tm = (af1 + al1) * 0.5; |
7fd59977 | 891 | } |
892 | aCommonPrt.SetType(TopAbs_VERTEX); | |
893 | aCommonPrt.SetVertexParameter1(tm); | |
894 | aCommonPrt.SetRange1 (af1, al1); | |
895 | } | |
7fd59977 | 896 | } |
e30616a7 | 897 | return 0; |
7fd59977 | 898 | } |
899 | ||
900 | ||
901 | //======================================================================= | |
902 | //function : IsIntersection | |
903 | //purpose : | |
904 | //======================================================================= | |
e30616a7 | 905 | void IntTools_EdgeFace::IsIntersection (const Standard_Real ta, |
906 | const Standard_Real tb) | |
7fd59977 | 907 | { |
908 | IntTools_CArray1OfReal anArgs, aFunc; | |
96a95605 | 909 | Standard_Integer i, aNb, aCnt=0; |
7fd59977 | 910 | // |
911 | Standard_Integer aCntIncreasing=1, aCntDecreasing=1; | |
912 | Standard_Real t, f, f1; | |
913 | // | |
914 | // Prepare values of arguments for the interval [ta, tb] | |
96a95605 | 915 | IntTools::PrepareArgs (myC, tb, ta, myDiscret, myDeflection, anArgs); |
7fd59977 | 916 | aNb=anArgs.Length(); |
917 | ||
918 | aFunc.Resize(aNb); | |
919 | for (i=0; i<aNb; i++) { | |
920 | t=anArgs(i); | |
921 | ||
922 | f1=DistanceFunction(t); | |
923 | f=f1+myCriteria; | |
924 | ||
925 | if (fabs(f1) < myEpsNull) { | |
926 | aCnt++; | |
927 | f=0.; | |
928 | } | |
929 | aFunc(i)=f; | |
930 | // | |
931 | if (i) { | |
932 | if (aFunc(i)>aFunc(i-1)) { | |
e30616a7 | 933 | aCntIncreasing++; |
7fd59977 | 934 | } |
935 | if (aFunc(i)<aFunc(i-1)) { | |
e30616a7 | 936 | aCntDecreasing++; |
7fd59977 | 937 | } |
938 | } | |
939 | // | |
940 | } | |
941 | ||
942 | if (aCnt==aNb) { | |
943 | myParallel=Standard_True; | |
944 | return; | |
945 | } | |
946 | ||
947 | FindDerivativeRoot(anArgs, aFunc); | |
948 | ||
949 | // | |
950 | if (myParallel) { | |
951 | if (!(myC.GetType()==GeomAbs_Line | |
e30616a7 | 952 | && |
953 | myS.GetType()==GeomAbs_Cylinder)) { | |
7fd59977 | 954 | if (aCntDecreasing==aNb) { |
e30616a7 | 955 | myPar1=anArgs(aNb-1); |
956 | myParallel=Standard_False; | |
7fd59977 | 957 | } |
958 | if (aCntIncreasing==aNb) { | |
e30616a7 | 959 | myPar1=anArgs(0); |
960 | myParallel=Standard_False; | |
7fd59977 | 961 | } |
962 | } | |
963 | } | |
964 | // | |
965 | return ; | |
966 | } | |
967 | ||
968 | //======================================================================= | |
969 | //function : FindDerivativeRoot | |
970 | //purpose : | |
971 | //======================================================================= | |
e30616a7 | 972 | void IntTools_EdgeFace::FindDerivativeRoot |
973 | (const IntTools_CArray1OfReal& t, | |
974 | const IntTools_CArray1OfReal& f) | |
7fd59977 | 975 | { |
976 | Standard_Integer i, n, k; | |
96a95605 | 977 | Standard_Real tr; |
7fd59977 | 978 | IntTools_CArray1OfReal fd; |
979 | TColStd_SequenceOfReal aTSeq, aFSeq; | |
980 | ||
981 | myPar1=0.; | |
982 | myParallel=Standard_True; | |
983 | ||
984 | n=t.Length(); | |
985 | fd.Resize(n+1); | |
986 | // | |
987 | // Table of derivatives | |
988 | fd(0)=(f(1)-f(0))/(t(1)-t(0)); | |
989 | if (fabs(fd(0)) < myEpsNull) { | |
990 | fd(0)=0.; | |
991 | } | |
992 | ||
993 | k=n-1; | |
994 | for (i=1; i<k; i++) { | |
995 | fd(i)=.5*(f(i+1)-f(i-1))/(t(i)-t(i-1)); | |
996 | if (fabs(fd(i)) < myEpsNull) { | |
997 | fd(i)=0.; | |
998 | } | |
999 | } | |
1000 | ||
1001 | fd(n-1)=(f(n-1)-f(n-2))/(t(n-1)-t(n-2)); | |
1002 | if (fabs(fd(n-1)) < myEpsNull) { | |
1003 | fd(n-1)=0.; | |
1004 | } | |
1005 | // | |
1006 | // Finding the range where the derivatives have different signs | |
1007 | // for neighbouring points | |
1008 | for (i=1; i<n; i++) { | |
1009 | Standard_Real fd1, fd2, t1, t2, fabsfd1, fabsfd2; | |
1010 | Standard_Boolean bF1, bF2; | |
1011 | t1 =t(i-1); | |
1012 | t2 =t(i); | |
1013 | fd1=fd(i-1); | |
1014 | fd2=fd(i); | |
1015 | ||
1016 | fabsfd1=fabs(fd1); | |
1017 | bF1=fabsfd1 < myEpsNull; | |
1018 | ||
1019 | fabsfd2=fabs(fd2); | |
1020 | bF2=fabsfd2 < myEpsNull; | |
1021 | // | |
1022 | if (fd1*fd2 < 0.) { | |
1023 | tr=FindSimpleRoot(2, t1, t2, fd1); | |
96a95605 | 1024 | DistanceFunction(tr); |
7fd59977 | 1025 | myPar1=tr; |
1026 | myParallel=Standard_False; | |
1027 | break; | |
1028 | } | |
1029 | ||
1030 | if (!bF1 && bF2) { | |
1031 | tr=t2; | |
7fd59977 | 1032 | myPar1=tr; |
1033 | myParallel=Standard_False; | |
1034 | break; | |
1035 | } | |
1036 | ||
1037 | if (bF1 && !bF2) { | |
1038 | tr=t1; | |
7fd59977 | 1039 | myPar1=tr; |
1040 | myParallel=Standard_False; | |
1041 | break; | |
1042 | } | |
1043 | ||
1044 | } | |
1045 | } | |
1046 | //======================================================================= | |
1047 | //function : RemoveIdenticalRoots | |
1048 | //purpose : | |
1049 | //======================================================================= | |
e30616a7 | 1050 | void IntTools_EdgeFace::RemoveIdenticalRoots() |
7fd59977 | 1051 | { |
1052 | Standard_Integer aNbRoots, j, k; | |
1053 | ||
1054 | aNbRoots=mySequenceOfRoots.Length(); | |
1055 | for (j=1; j<=aNbRoots; j++) { | |
1056 | const IntTools_Root& aRj=mySequenceOfRoots(j); | |
1057 | for (k=j+1; k<=aNbRoots; k++) { | |
1058 | const IntTools_Root& aRk=mySequenceOfRoots(k); | |
1059 | ||
1060 | Standard_Real aTj, aTk, aDistance; | |
1061 | gp_Pnt aPj, aPk; | |
1062 | ||
1063 | aTj=aRj.Root(); | |
1064 | aTk=aRk.Root(); | |
1065 | ||
1066 | myC.D0(aTj, aPj); | |
1067 | myC.D0(aTk, aPk); | |
1068 | ||
1069 | aDistance=aPj.Distance(aPk); | |
1070 | if (aDistance < myCriteria) { | |
e30616a7 | 1071 | mySequenceOfRoots.Remove(k); |
1072 | aNbRoots=mySequenceOfRoots.Length(); | |
7fd59977 | 1073 | } |
1074 | } | |
1075 | } | |
1076 | } | |
1077 | ||
1078 | //======================================================================= | |
1079 | //function : CheckTouch | |
1080 | //purpose : | |
1081 | //======================================================================= | |
e30616a7 | 1082 | Standard_Boolean IntTools_EdgeFace::CheckTouch |
1083 | (const IntTools_CommonPrt& aCP, | |
1084 | Standard_Real& aTx) | |
7fd59977 | 1085 | { |
1086 | Standard_Real aTF, aTL, Tol, U1f, U1l, V1f, V1l, af, al,aDist2, aMinDist2; | |
1087 | Standard_Boolean theflag=Standard_False; | |
1088 | Standard_Integer aNbExt, i, iLower ; | |
1089 | ||
1090 | aCP.Range1(aTF, aTL); | |
1091 | ||
1092 | // | |
1093 | Standard_Real aCR; | |
1094 | aCR=myC.Resolution(myCriteria); | |
1095 | if((Abs(aTF - myRange.First()) < aCR) && | |
1096 | (Abs(aTL - myRange.Last()) < aCR)) { | |
1097 | return theflag; // EDGE | |
1098 | } | |
1099 | // | |
1100 | ||
1101 | Tol = Precision::PConfusion(); | |
1102 | ||
1103 | const Handle(Geom_Curve)& Curve =BRep_Tool::Curve (myC.Edge(), af, al); | |
1104 | const Handle(Geom_Surface)& Surface=BRep_Tool::Surface(myS.Face()); | |
1105 | // Surface->Bounds(U1f,U1l,V1f,V1l); | |
1106 | U1f = myS.FirstUParameter(); | |
1107 | U1l = myS.LastUParameter(); | |
1108 | V1f = myS.FirstVParameter(); | |
1109 | V1l = myS.LastVParameter(); | |
1110 | ||
1111 | GeomAdaptor_Curve TheCurve (Curve,aTF, aTL); | |
1112 | GeomAdaptor_Surface TheSurface (Surface, U1f, U1l, V1f, V1l); | |
e30616a7 | 1113 | |
7fd59977 | 1114 | Extrema_ExtCS anExtrema (TheCurve, TheSurface, Tol, Tol); |
1115 | ||
1116 | aDist2 = 1.e100; | |
1117 | ||
1118 | if(anExtrema.IsDone()) { | |
1119 | aMinDist2 = aDist2; | |
1120 | ||
1121 | if(!anExtrema.IsParallel()) { | |
1122 | aNbExt=anExtrema.NbExt(); | |
1123 | ||
1124 | if(aNbExt > 0) { | |
e30616a7 | 1125 | iLower=1; |
1126 | for (i=1; i<=aNbExt; i++) { | |
1127 | aDist2=anExtrema.SquareDistance(i); | |
1128 | if (aDist2 < aMinDist2) { | |
1129 | aMinDist2=aDist2; | |
1130 | iLower=i; | |
1131 | } | |
1132 | } | |
1133 | aDist2=anExtrema.SquareDistance(iLower); | |
1134 | Extrema_POnCurv aPOnC; | |
1135 | Extrema_POnSurf aPOnS; | |
1136 | anExtrema.Points(iLower, aPOnC, aPOnS); | |
1137 | aTx=aPOnC.Parameter(); | |
7fd59977 | 1138 | } |
1139 | else { | |
e30616a7 | 1140 | // modified by NIZHNY-MKK Thu Jul 21 11:35:32 2005.BEGIN |
1141 | IntCurveSurface_HInter anExactIntersector; | |
7fd59977 | 1142 | |
e30616a7 | 1143 | Handle(GeomAdaptor_HCurve) aCurve = new GeomAdaptor_HCurve(TheCurve); |
1144 | Handle(GeomAdaptor_HSurface) aSurface = new GeomAdaptor_HSurface(TheSurface); | |
1145 | ||
1146 | anExactIntersector.Perform(aCurve, aSurface); | |
7fd59977 | 1147 | |
e30616a7 | 1148 | if(anExactIntersector.IsDone()) { |
1149 | Standard_Integer i = 0; | |
7fd59977 | 1150 | |
e30616a7 | 1151 | for(i = 1; i <= anExactIntersector.NbPoints(); i++) { |
1152 | const IntCurveSurface_IntersectionPoint& aPoint = anExactIntersector.Point(i); | |
7fd59977 | 1153 | |
e30616a7 | 1154 | if((aPoint.W() >= aTF) && (aPoint.W() <= aTL)) { |
1155 | aDist2=0.; | |
1156 | aTx = aPoint.W(); | |
1157 | } | |
1158 | } | |
1159 | } | |
1160 | // modified by NIZHNY-MKK Thu Jul 21 11:35:40 2005.END | |
7fd59977 | 1161 | } |
1162 | } | |
1163 | else { | |
1164 | return theflag; | |
1165 | } | |
1166 | } | |
1167 | ||
1168 | Standard_Real aBoundaryDist; | |
1169 | ||
1170 | aBoundaryDist = DistanceFunction(aTF) + myCriteria; | |
1171 | if(aBoundaryDist * aBoundaryDist < aDist2) { | |
1172 | aDist2 = aBoundaryDist * aBoundaryDist; | |
1173 | aTx = aTF; | |
1174 | } | |
1175 | ||
1176 | aBoundaryDist = DistanceFunction(aTL) + myCriteria; | |
1177 | if(aBoundaryDist * aBoundaryDist < aDist2) { | |
1178 | aDist2 = aBoundaryDist * aBoundaryDist; | |
1179 | aTx = aTL; | |
1180 | } | |
1181 | ||
1182 | Standard_Real aParameter = (aTF + aTL) * 0.5; | |
1183 | aBoundaryDist = DistanceFunction(aParameter) + myCriteria; | |
1184 | if(aBoundaryDist * aBoundaryDist < aDist2) { | |
1185 | aDist2 = aBoundaryDist * aBoundaryDist; | |
1186 | aTx = aParameter; | |
1187 | } | |
1188 | ||
1189 | if(aDist2 > myCriteria * myCriteria) { | |
1190 | return theflag; | |
1191 | } | |
1192 | ||
1193 | if (fabs (aTx-aTF) < myEpsT) { | |
1194 | return !theflag; | |
1195 | } | |
1196 | ||
1197 | if (fabs (aTx-aTL) < myEpsT) { | |
1198 | return !theflag; | |
1199 | } | |
1200 | ||
1201 | if (aTx>aTF && aTx<aTL) { | |
1202 | return !theflag; | |
1203 | } | |
1204 | ||
1205 | return theflag; | |
1206 | } | |
7fd59977 | 1207 | //======================================================================= |
1208 | //function : Perform | |
1209 | //purpose : | |
1210 | //======================================================================= | |
e30616a7 | 1211 | void IntTools_EdgeFace::Perform() |
7fd59977 | 1212 | { |
1213 | Standard_Integer i, aNb; | |
1214 | IntTools_CommonPrt aCommonPrt; | |
7fd59977 | 1215 | // |
4f189102 | 1216 | aCommonPrt.SetEdge1(myEdge); |
7fd59977 | 1217 | // |
1218 | myErrorStatus=0; | |
1219 | CheckData(); | |
4f189102 | 1220 | if (myErrorStatus) { |
7fd59977 | 1221 | return; |
4f189102 P |
1222 | } |
1223 | // | |
1224 | if (myContext.IsNull()) { | |
1e143abb | 1225 | myContext=new IntTools_Context; |
4f189102 P |
1226 | } |
1227 | // | |
7fd59977 | 1228 | myIsDone = Standard_False; |
1229 | myC.Initialize(myEdge); | |
1230 | GeomAbs_CurveType aCurveType; | |
1231 | aCurveType=myC.GetType(); | |
1232 | // | |
1233 | // Prepare myCriteria | |
1234 | if (aCurveType==GeomAbs_BSplineCurve|| | |
e30616a7 | 1235 | aCurveType==GeomAbs_BezierCurve) { |
7fd59977 | 1236 | //--- 5112 |
1237 | Standard_Real diff1 = (myTolE/myTolF); | |
1238 | Standard_Real diff2 = (myTolF/myTolE); | |
1239 | if( diff1 > 100 || diff2 > 100 ) { | |
1240 | myCriteria = Max(myTolE,myTolF); | |
1241 | } | |
1242 | else //--- 5112 | |
1243 | myCriteria=1.5*myTolE+myTolF; | |
1244 | } | |
1245 | else { | |
1246 | myCriteria=myTolE+myTolF; | |
1247 | } | |
e30616a7 | 1248 | |
7fd59977 | 1249 | myTmin=myRange.First(); |
1250 | myTmax=myRange.Last(); | |
e30616a7 | 1251 | |
7fd59977 | 1252 | myS.Initialize (myFace,Standard_True); |
e30616a7 | 1253 | |
4f189102 | 1254 | if(myContext.IsNull()) { |
7fd59977 | 1255 | myFClass2d.Init(myFace, 1.e-6); |
1256 | } | |
e30616a7 | 1257 | |
7fd59977 | 1258 | IntTools_BeanFaceIntersector anIntersector(myC, myS, myTolE, myTolF); |
1259 | anIntersector.SetBeanParameters(myRange.First(), myRange.Last()); | |
1260 | // | |
1261 | anIntersector.SetContext(myContext); | |
1262 | // | |
1263 | anIntersector.Perform(); | |
e30616a7 | 1264 | |
7fd59977 | 1265 | if(!anIntersector.IsDone()) { |
1266 | return; | |
1267 | } | |
e30616a7 | 1268 | |
7fd59977 | 1269 | for(Standard_Integer r = 1; r <= anIntersector.Result().Length(); r++) { |
1270 | const IntTools_Range& aRange = anIntersector.Result().Value(r); | |
1271 | ||
1272 | if(IsProjectable(IntTools_Tools::IntermediatePoint(aRange.First(), aRange.Last()))) { | |
1273 | aCommonPrt.SetRange1(aRange.First(), aRange.Last()); | |
1274 | mySeqOfCommonPrts.Append(aCommonPrt); | |
1275 | } | |
1276 | } | |
1277 | ||
1278 | aNb = mySeqOfCommonPrts.Length(); | |
1279 | ||
1280 | for (i=1; i<=aNb; i++) { | |
1281 | IntTools_CommonPrt& aCP=mySeqOfCommonPrts.ChangeValue(i); | |
1282 | // | |
1283 | Standard_Real aTx1, aTx2; | |
1284 | gp_Pnt aPx1, aPx2; | |
1285 | // | |
1286 | aCP.Range1(aTx1, aTx2); | |
1287 | myC.D0(aTx1, aPx1); | |
1288 | myC.D0(aTx2, aPx2); | |
1289 | aCP.SetBoundingPoints(aPx1, aPx2); | |
1290 | // | |
1291 | MakeType (aCP); | |
1292 | } | |
1293 | { | |
1294 | // Line\Cylinder's Common Parts treatement | |
1295 | GeomAbs_CurveType aCType; | |
1296 | GeomAbs_SurfaceType aSType; | |
1297 | TopAbs_ShapeEnum aType; | |
1298 | Standard_Boolean bIsTouch; | |
1299 | Standard_Real aTx; | |
e30616a7 | 1300 | |
7fd59977 | 1301 | aCType=myC.GetType(); |
1302 | aSType=myS.GetType(); | |
1303 | ||
1304 | if (aCType==GeomAbs_Line && aSType==GeomAbs_Cylinder) { | |
1305 | for (i=1; i<=aNb; i++) { | |
e30616a7 | 1306 | IntTools_CommonPrt& aCP=mySeqOfCommonPrts(i); |
1307 | aType=aCP.Type(); | |
1308 | if (aType==TopAbs_EDGE) { | |
1309 | bIsTouch=CheckTouch (aCP, aTx); | |
1310 | if (bIsTouch) { | |
1311 | aCP.SetType(TopAbs_VERTEX); | |
1312 | aCP.SetVertexParameter1(aTx); | |
bd28b2af | 1313 | //aCP.SetRange1 (aTx, aTx); |
e30616a7 | 1314 | } |
1315 | } | |
bd28b2af | 1316 | else if (aType==TopAbs_VERTEX) { |
e30616a7 | 1317 | bIsTouch=CheckTouchVertex (aCP, aTx); |
1318 | if (bIsTouch) { | |
1319 | aCP.SetVertexParameter1(aTx); | |
bd28b2af | 1320 | //aCP.SetRange1 (aTx, aTx); |
e30616a7 | 1321 | } |
1322 | } | |
7fd59977 | 1323 | } |
1324 | } | |
e30616a7 | 1325 | |
7fd59977 | 1326 | // Circle\Plane's Common Parts treatement |
1327 | ||
1328 | if (aCType==GeomAbs_Circle && aSType==GeomAbs_Plane) { | |
1329 | Standard_Boolean bIsCoplanar, bIsRadius; | |
1330 | bIsCoplanar=IsCoplanar(myC, myS); | |
bd28b2af | 1331 | bIsRadius=IsRadius(myC, myS, myCriteria); |
7fd59977 | 1332 | if (!bIsCoplanar && !bIsRadius) { |
e30616a7 | 1333 | for (i=1; i<=aNb; i++) { |
1334 | IntTools_CommonPrt& aCP=mySeqOfCommonPrts(i); | |
1335 | aType=aCP.Type(); | |
1336 | if (aType==TopAbs_EDGE) { | |
1337 | bIsTouch=CheckTouch (aCP, aTx); | |
1338 | if (bIsTouch) { | |
1339 | aCP.SetType(TopAbs_VERTEX); | |
1340 | aCP.SetVertexParameter1(aTx); | |
bd28b2af | 1341 | //aCP.SetRange1 (aTx, aTx); |
1342 | } | |
1343 | } | |
1344 | else if (aType==TopAbs_VERTEX) { | |
1345 | bIsTouch=CheckTouchVertex (aCP, aTx); | |
1346 | if (bIsTouch) { | |
1347 | aCP.SetVertexParameter1(aTx); | |
1348 | //aCP.SetRange1 (aTx, aTx); | |
e30616a7 | 1349 | } |
1350 | } | |
1351 | } | |
7fd59977 | 1352 | } |
1353 | } | |
1354 | } | |
1355 | myIsDone=Standard_True; | |
1356 | } | |
1357 | ||
1358 | // | |
1359 | // myErrorStatus | |
1360 | // 1 - the method Perform() is not invoked | |
1361 | // 2,3,4,5 -the method CheckData() fails | |
1362 | // 6 - PrepareArgs() problems | |
1363 | // 7 - No Projectable ranges | |
1364 | // 8,9 - PrepareArgs() problems occured inside projectable Ranges | |
1365 | // 11 - can't fill array aFunc(i) in PrepareArgsFuncArrays | |
1366 | ||
1367 | ||
1368 | //======================================================================= | |
1369 | //function : CheckTouch | |
1370 | //purpose : | |
1371 | //======================================================================= | |
e30616a7 | 1372 | Standard_Boolean IntTools_EdgeFace::CheckTouchVertex |
1373 | (const IntTools_CommonPrt& aCP, | |
1374 | Standard_Real& aTx) | |
7fd59977 | 1375 | { |
cf2439de | 1376 | Standard_Real aTF, aTL, Tol, U1f,U1l,V1f,V1l; |
1377 | Standard_Real aEpsT, af, al,aDist2, aMinDist2, aTm, aDist2New; | |
7fd59977 | 1378 | Standard_Boolean theflag=Standard_False; |
1379 | Standard_Integer aNbExt, i, iLower ; | |
cf2439de | 1380 | GeomAbs_CurveType aType; |
1381 | // | |
7fd59977 | 1382 | aCP.Range1(aTF, aTL); |
cf2439de | 1383 | aType=myC.GetType(); |
1384 | // | |
ddd95bbf | 1385 | aEpsT=8.e-5; |
cf2439de | 1386 | if (aType==GeomAbs_Line) { |
1387 | aEpsT=9.e-5; | |
1388 | } | |
1389 | // | |
7fd59977 | 1390 | aTm=0.5*(aTF+aTL); |
1391 | aDist2=DistanceFunction(aTm); | |
1392 | aDist2 *= aDist2; | |
1393 | ||
1394 | Tol = Precision::PConfusion(); | |
1395 | ||
cf2439de | 1396 | const Handle(Geom_Curve)& Curve =BRep_Tool::Curve (myC.Edge(), af, al); |
7fd59977 | 1397 | const Handle(Geom_Surface)& Surface=BRep_Tool::Surface(myS.Face()); |
1398 | ||
1399 | Surface->Bounds(U1f,U1l,V1f,V1l); | |
1400 | ||
1401 | GeomAdaptor_Curve TheCurve (Curve,aTF, aTL); | |
1402 | GeomAdaptor_Surface TheSurface (Surface, U1f, U1l, V1f, V1l); | |
e30616a7 | 1403 | |
7fd59977 | 1404 | Extrema_ExtCS anExtrema (TheCurve, TheSurface, Tol, Tol); |
1405 | ||
1406 | if(!anExtrema.IsDone()) { | |
1407 | return theflag; | |
1408 | } | |
1409 | if (anExtrema.IsParallel()) { | |
1410 | return theflag; | |
1411 | } | |
1412 | ||
1413 | aNbExt=anExtrema.NbExt() ; | |
1414 | if (!aNbExt) { | |
1415 | return theflag; | |
1416 | } | |
1417 | ||
1418 | iLower=1; | |
1419 | aMinDist2=1.e100; | |
1420 | for (i=1; i<=aNbExt; ++i) { | |
1421 | aDist2=anExtrema.SquareDistance(i); | |
1422 | if (aDist2 < aMinDist2) { | |
1423 | aMinDist2=aDist2; | |
1424 | iLower=i; | |
1425 | } | |
1426 | } | |
1427 | ||
1428 | aDist2New=anExtrema.SquareDistance(iLower); | |
1429 | ||
1430 | if (aDist2New > aDist2) { | |
1431 | aTx=aTm; | |
1432 | return !theflag; | |
1433 | } | |
1434 | ||
1435 | if (aDist2New > myCriteria * myCriteria) { | |
1436 | return theflag; | |
1437 | } | |
1438 | ||
1439 | Extrema_POnCurv aPOnC; | |
1440 | Extrema_POnSurf aPOnS; | |
1441 | anExtrema.Points(iLower, aPOnC, aPOnS); | |
1442 | ||
ddd95bbf | 1443 | |
7fd59977 | 1444 | aTx=aPOnC.Parameter(); |
ddd95bbf | 1445 | /// |
1446 | if (fabs (aTx-aTF) < aEpsT) { | |
1447 | return theflag; | |
7fd59977 | 1448 | } |
1449 | ||
ddd95bbf | 1450 | if (fabs (aTx-aTL) < aEpsT) { |
1451 | return theflag; | |
7fd59977 | 1452 | } |
1453 | ||
1454 | if (aTx>aTF && aTx<aTL) { | |
1455 | return !theflag; | |
1456 | } | |
1457 | ||
1458 | return theflag; | |
1459 | } | |
1460 | ||
1461 | ||
1462 | //======================================================================= | |
1463 | //function : IsCoplanar | |
1464 | //purpose : | |
1465 | //======================================================================= | |
1466 | Standard_Boolean IsCoplanar (const BRepAdaptor_Curve& aCurve , | |
e30616a7 | 1467 | const BRepAdaptor_Surface& aSurface) |
7fd59977 | 1468 | { |
1469 | Standard_Boolean bFlag=Standard_False; | |
1470 | ||
1471 | GeomAbs_CurveType aCType; | |
1472 | GeomAbs_SurfaceType aSType; | |
1473 | ||
1474 | aCType=aCurve.GetType(); | |
1475 | aSType=aSurface.GetType(); | |
1476 | ||
1477 | if (aCType==GeomAbs_Circle && aSType==GeomAbs_Plane) { | |
1478 | gp_Circ aCirc=aCurve.Circle(); | |
1479 | const gp_Ax1& anAx1=aCirc.Axis(); | |
1480 | const gp_Dir& aDirAx1=anAx1.Direction(); | |
1481 | ||
1482 | gp_Pln aPln=aSurface.Plane(); | |
1483 | const gp_Ax1& anAx=aPln.Axis(); | |
1484 | const gp_Dir& aDirPln=anAx.Direction(); | |
1485 | ||
1486 | bFlag=IntTools_Tools::IsDirsCoinside(aDirAx1, aDirPln); | |
1487 | } | |
1488 | return bFlag; | |
1489 | } | |
1490 | //======================================================================= | |
1491 | //function : IsRadius | |
1492 | //purpose : | |
1493 | //======================================================================= | |
bd28b2af | 1494 | Standard_Boolean IsRadius (const BRepAdaptor_Curve& aCurve, |
1495 | const BRepAdaptor_Surface& aSurface, | |
1496 | const Standard_Real aCriteria) | |
7fd59977 | 1497 | { |
1498 | Standard_Boolean bFlag=Standard_False; | |
1499 | ||
1500 | GeomAbs_CurveType aCType; | |
1501 | GeomAbs_SurfaceType aSType; | |
1502 | ||
1503 | aCType=aCurve.GetType(); | |
1504 | aSType=aSurface.GetType(); | |
1505 | ||
1506 | if (aCType==GeomAbs_Circle && aSType==GeomAbs_Plane) { | |
1507 | gp_Circ aCirc=aCurve.Circle(); | |
1508 | const gp_Pnt aCenter=aCirc.Location(); | |
1509 | Standard_Real aR=aCirc.Radius(); | |
1510 | gp_Pln aPln=aSurface.Plane(); | |
1511 | Standard_Real aD=aPln.Distance(aCenter); | |
bd28b2af | 1512 | if (fabs (aD-aR) < aCriteria) { |
7fd59977 | 1513 | return !bFlag; |
1514 | } | |
1515 | } | |
1516 | return bFlag; | |
1517 | } | |
1518 | // | |
1519 | //======================================================================= | |
1520 | //function : AdaptiveDiscret | |
1521 | //purpose : | |
1522 | //======================================================================= | |
1523 | Standard_Integer AdaptiveDiscret (const Standard_Integer iDiscret, | |
e30616a7 | 1524 | const BRepAdaptor_Curve& aCurve , |
1525 | const BRepAdaptor_Surface& aSurface) | |
7fd59977 | 1526 | { |
1527 | Standard_Integer iDiscretNew; | |
1528 | ||
1529 | iDiscretNew=iDiscret; | |
1530 | ||
7fd59977 | 1531 | GeomAbs_SurfaceType aSType; |
1532 | ||
7fd59977 | 1533 | aSType=aSurface.GetType(); |
1534 | ||
1535 | if (aSType==GeomAbs_Cylinder) { | |
96a95605 | 1536 | Standard_Real aELength, aRadius, dLR; |
7fd59977 | 1537 | |
1538 | aELength=IntTools::Length(aCurve.Edge()); | |
7fd59977 | 1539 | |
1540 | gp_Cylinder aCylinder=aSurface.Cylinder(); | |
1541 | aRadius=aCylinder.Radius(); | |
1542 | dLR=2*aRadius; | |
1543 | ||
1544 | iDiscretNew=(Standard_Integer)(aELength/dLR); | |
1545 | ||
1546 | if (iDiscretNew<iDiscret) { | |
1547 | iDiscretNew=iDiscret; | |
1548 | } | |
1549 | ||
1550 | } | |
1551 | return iDiscretNew; | |
1552 | } | |
1553 | ||
1554 | ||
1555 | #ifdef WNT | |
1556 | #pragma warning ( default : 4101 ) | |
1557 | #endif |