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b311480e | 1 | // Created on: 1993-07-07 |
2 | // Created by: Jean Claude VAUTHIER | |
3 | // Copyright (c) 1993-1999 Matra Datavision | |
973c2be1 | 4 | // Copyright (c) 1999-2014 OPEN CASCADE SAS |
b311480e | 5 | // |
973c2be1 | 6 | // This file is part of Open CASCADE Technology software library. |
b311480e | 7 | // |
d5f74e42 | 8 | // This library is free software; you can redistribute it and/or modify it under |
9 | // the terms of the GNU Lesser General Public License version 2.1 as published | |
973c2be1 | 10 | // by the Free Software Foundation, with special exception defined in the file |
11 | // OCCT_LGPL_EXCEPTION.txt. Consult the file LICENSE_LGPL_21.txt included in OCCT | |
12 | // distribution for complete text of the license and disclaimer of any warranty. | |
b311480e | 13 | // |
973c2be1 | 14 | // Alternatively, this file may be used under the terms of Open CASCADE |
15 | // commercial license or contractual agreement. | |
7fd59977 | 16 | |
7fd59977 | 17 | // Version: |
b311480e | 18 | //pmn 24/09/96 Ajout du prolongement de courbe. |
7fd59977 | 19 | // jct 15/04/97 Ajout du prolongement de surface. |
20 | // jct 24/04/97 simplification ou suppression de calculs | |
21 | // inutiles dans ExtendSurfByLength | |
22 | // correction de Tbord et Continuity=0 accepte | |
23 | // correction du calcul de lambda et appel a | |
24 | // TangExtendToConstraint avec lambmin au lieu de 1. | |
25 | // correction du passage Sr rat --> BSp nD | |
26 | // xab 26/06/97 treatement partiel anulation des derivees | |
27 | // partiels du denonimateur des Surfaces BSplines Rationnelles | |
28 | // dans le cas de valeurs proportionnelles des denominateurs | |
29 | // en umin umax et/ou vmin vmax. | |
30 | // pmn 4/07/97 Gestion de la continuite dans BuildCurve3d (PRO9097) | |
31 | ||
32 | // xab 10/07/97 on revient en arriere sur l'ajout du 26/06/97 | |
33 | // pmn 26/09/97 Ajout des parametres d'approx dans BuildCurve3d | |
34 | // xab 29/09/97 on reintegre l'ajout du 26/06/97 | |
35 | // pmn 31/10/97 Ajoute AdjustExtremity | |
36 | // jct 26/11/98 blindage dans ExtendSurf qd NTgte = 0 (CTS21288) | |
37 | // jct 19/01/99 traitement de la periodicite dans ExtendSurf | |
38 | // Design: | |
39 | // Warning: None | |
40 | // References: None | |
41 | // Language: C++2.0 | |
42 | // Purpose: | |
43 | ||
44 | // Declarations: | |
45 | ||
46 | #include <GeomLib.ixx> | |
47 | ||
48 | #include <Precision.hxx> | |
49 | #include <GeomConvert.hxx> | |
50 | #include <Hermit.hxx> | |
51 | #include <Standard_NotImplemented.hxx> | |
52 | #include <GeomLib_MakeCurvefromApprox.hxx> | |
53 | #include <GeomLib_DenominatorMultiplier.hxx> | |
54 | #include <GeomLib_DenominatorMultiplierPtr.hxx> | |
55 | #include <GeomLib_PolyFunc.hxx> | |
56 | #include <GeomLib_LogSample.hxx> | |
57 | ||
58 | #include <AdvApprox_ApproxAFunction.hxx> | |
59 | #include <AdvApprox_PrefAndRec.hxx> | |
60 | ||
61 | #include <Adaptor2d_HCurve2d.hxx> | |
62 | #include <Adaptor3d_HCurve.hxx> | |
63 | #include <Adaptor3d_HSurface.hxx> | |
64 | #include <Adaptor3d_CurveOnSurface.hxx> | |
65 | #include <Geom2dAdaptor_Curve.hxx> | |
66 | #include <GeomAdaptor_Surface.hxx> | |
67 | #include <GeomAdaptor_HSurface.hxx> | |
68 | #include <Geom2dAdaptor_HCurve.hxx> | |
69 | #include <Geom2dAdaptor_GHCurve.hxx> | |
70 | ||
71 | #include <Geom2d_BSplineCurve.hxx> | |
72 | #include <Geom_BSplineCurve.hxx> | |
73 | #include <Geom2d_BezierCurve.hxx> | |
74 | #include <Geom_BezierCurve.hxx> | |
75 | #include <Geom_RectangularTrimmedSurface.hxx> | |
76 | #include <Geom_Plane.hxx> | |
77 | #include <Geom_Line.hxx> | |
78 | #include <Geom2d_Line.hxx> | |
79 | #include <Geom_Circle.hxx> | |
80 | #include <Geom2d_Circle.hxx> | |
81 | #include <Geom_Ellipse.hxx> | |
82 | #include <Geom2d_Ellipse.hxx> | |
83 | #include <Geom_Parabola.hxx> | |
84 | #include <Geom2d_Parabola.hxx> | |
85 | #include <Geom_Hyperbola.hxx> | |
86 | #include <Geom2d_Hyperbola.hxx> | |
87 | #include <Geom_TrimmedCurve.hxx> | |
88 | #include <Geom2d_TrimmedCurve.hxx> | |
89 | #include <Geom_OffsetCurve.hxx> | |
90 | #include <Geom2d_OffsetCurve.hxx> | |
91 | #include <Geom_BezierSurface.hxx> | |
92 | #include <Geom_BSplineSurface.hxx> | |
93 | ||
94 | #include <BSplCLib.hxx> | |
95 | #include <BSplSLib.hxx> | |
96 | #include <PLib.hxx> | |
97 | #include <math_Matrix.hxx> | |
98 | #include <math_Vector.hxx> | |
99 | #include <math_Jacobi.hxx> | |
100 | #include <math.hxx> | |
101 | #include <math_FunctionAllRoots.hxx> | |
102 | #include <math_FunctionSample.hxx> | |
103 | ||
104 | #include <TColStd_HArray1OfReal.hxx> | |
105 | #include <TColgp_Array1OfPnt.hxx> | |
106 | #include <TColgp_Array1OfVec.hxx> | |
107 | #include <TColgp_Array2OfPnt.hxx> | |
108 | #include <TColgp_HArray2OfPnt.hxx> | |
109 | #include <TColgp_Array1OfPnt2d.hxx> | |
110 | #include <TColgp_Array1OfXYZ.hxx> | |
111 | #include <TColStd_Array1OfReal.hxx> | |
112 | #include <TColStd_Array2OfReal.hxx> | |
113 | #include <TColStd_HArray2OfReal.hxx> | |
114 | #include <TColStd_Array1OfInteger.hxx> | |
115 | ||
116 | #include <gp_TrsfForm.hxx> | |
117 | #include <gp_Lin.hxx> | |
118 | #include <gp_Lin2d.hxx> | |
119 | #include <gp_Circ.hxx> | |
120 | #include <gp_Circ2d.hxx> | |
121 | #include <gp_Elips.hxx> | |
122 | #include <gp_Elips2d.hxx> | |
123 | #include <gp_Hypr.hxx> | |
124 | #include <gp_Hypr2d.hxx> | |
125 | #include <gp_Parab.hxx> | |
126 | #include <gp_Parab2d.hxx> | |
127 | #include <gp_GTrsf2d.hxx> | |
128 | #include <gp_Trsf2d.hxx> | |
129 | ||
130 | #include <ElCLib.hxx> | |
131 | #include <Geom2dConvert.hxx> | |
132 | #include <GeomConvert_CompCurveToBSplineCurve.hxx> | |
133 | #include <GeomConvert_ApproxSurface.hxx> | |
134 | ||
2b21c641 | 135 | #include <CSLib.hxx> |
136 | #include <CSLib_NormalStatus.hxx> | |
137 | ||
7fd59977 | 138 | |
139 | #include <Standard_ConstructionError.hxx> | |
140 | ||
141 | //======================================================================= | |
142 | //function : ComputeLambda | |
143 | //purpose : Calcul le facteur lambda qui minimise la variation de vittesse | |
144 | // sur une interpolation d'hermite d'ordre (i,0) | |
145 | //======================================================================= | |
146 | static void ComputeLambda(const math_Matrix& Constraint, | |
147 | const math_Matrix& Hermit, | |
148 | const Standard_Real Length, | |
149 | Standard_Real& Lambda ) | |
150 | { | |
151 | Standard_Integer size = Hermit.RowNumber(); | |
152 | Standard_Integer Continuity = size-2; | |
153 | Standard_Integer ii, jj, ip, pp; | |
154 | ||
155 | //Minimization | |
156 | math_Matrix HDer(1, size-1, 1, size); | |
157 | for (jj=1; jj<=size; jj++) { | |
158 | for (ii=1; ii<size;ii++) { | |
159 | HDer(ii, jj) = ii*Hermit(jj, ii+1); | |
160 | } | |
161 | } | |
162 | ||
163 | math_Vector V(1, size); | |
164 | math_Vector Vec1(1, Constraint.RowNumber()); | |
165 | math_Vector Vec2(1, Constraint.RowNumber()); | |
166 | math_Vector Vec3(1, Constraint.RowNumber()); | |
167 | math_Vector Vec4(1, Constraint.RowNumber()); | |
168 | ||
169 | Standard_Real * polynome = &HDer(1,1); | |
170 | Standard_Real * valhder = &V(1); | |
171 | Vec2 = Constraint.Col(2); | |
172 | Vec2 /= Length; | |
173 | Standard_Real t, squared1 = Vec2.Norm2(), GW; | |
174 | // math_Matrix Vec(1, Constraint.RowNumber(), 1, size-1); | |
175 | // gp_Vec Vfirst(p0.XYZ()), Vlast(Point.XYZ()); | |
176 | // TColgp_Array1OfVec Der(2, 4); | |
177 | // Der(2) = d1; Der(3) = d2; Der(4) = d3; | |
178 | ||
179 | Standard_Integer GOrdre = 4 + 4*Continuity, | |
180 | DDim=Continuity*(Continuity+2); | |
181 | math_Vector GaussP(1, GOrdre), GaussW(1, GOrdre), | |
182 | pol2(1, 2*Continuity+1), | |
183 | pol4(1, 4*Continuity+1); | |
184 | math::GaussPoints(GOrdre, GaussP); | |
185 | math::GaussWeights (GOrdre, GaussW); | |
186 | pol4.Init(0.); | |
187 | ||
188 | for (ip=1; ip<=GOrdre; ip++) { | |
189 | t = (GaussP(ip)+1.)/2; | |
190 | GW = GaussW(ip); | |
191 | PLib::NoDerivativeEvalPolynomial(t , Continuity, Continuity+2, DDim, | |
192 | polynome[0], valhder[0]); | |
193 | V /= Length; //Normalisation | |
194 | ||
195 | // i | |
196 | // C'(t) = SUM Vi*Lambda | |
197 | Vec1 = Constraint.Col(1); | |
198 | Vec1 *= V(1); | |
199 | Vec1 += V(size)*Constraint.Col(size); | |
200 | Vec2 = Constraint.Col(2); | |
201 | Vec2 *= V(2); | |
202 | if (Continuity > 1) { | |
203 | Vec3 = Constraint.Col(3); | |
204 | Vec3 *= V(3); | |
205 | if (Continuity > 2) { | |
206 | Vec4 = Constraint.Col(4); | |
207 | Vec4 *= V(4); | |
208 | } | |
209 | } | |
210 | ||
211 | ||
212 | // 2 2 | |
213 | // C'(t) - C'(0) | |
214 | ||
215 | pol2(1) = Vec1.Norm2(); | |
216 | pol2(2) = 2*(Vec1.Multiplied(Vec2)); | |
217 | pol2(3) = Vec2.Norm2() - squared1; | |
218 | if (Continuity>1) { | |
219 | pol2(3) += 2*(Vec1.Multiplied(Vec3)); | |
220 | pol2(4) = 2*(Vec2.Multiplied(Vec3)); | |
221 | pol2(5) = Vec3.Norm2(); | |
222 | if (Continuity>2) { | |
223 | pol2(4)+= 2*(Vec1.Multiplied(Vec4)); | |
224 | pol2(5)+= 2*(Vec2.Multiplied(Vec4)); | |
225 | pol2(6) = 2*(Vec3.Multiplied(Vec4)); | |
226 | pol2(7) = Vec4.Norm2(); | |
227 | } | |
228 | } | |
229 | ||
230 | // 2 2 2 | |
231 | // Integrale de ( C'(t) - C'(0) ) | |
232 | for (ii=1; ii<=pol2.Length(); ii++) { | |
233 | pp = ii; | |
234 | for(jj=1; jj<ii; jj++, pp++) { | |
235 | pol4(pp) += 2*GW*pol2(ii)*pol2(jj); | |
236 | } | |
237 | pol4(2*ii-1) += GW*Pow(pol2(ii), 2); | |
238 | } | |
239 | } | |
240 | ||
241 | Standard_Real EMin, E; | |
242 | PLib::NoDerivativeEvalPolynomial(Lambda , pol4.Length()-1, 1, | |
243 | pol4.Length()-1, | |
244 | pol4(1), EMin); | |
245 | ||
246 | if (EMin > Precision::Confusion()) { | |
247 | // Recheche des extrema de la fonction | |
248 | GeomLib_PolyFunc FF(pol4); | |
249 | GeomLib_LogSample S(Lambda/1000, 50*Lambda, 100); | |
250 | math_FunctionAllRoots Solve(FF, S, Precision::Confusion(), | |
251 | Precision::Confusion()*(Length+1), | |
252 | 1.e-15); | |
253 | if (Solve.IsDone()) { | |
254 | for (ii=1; ii<=Solve.NbPoints(); ii++) { | |
255 | t = Solve.GetPoint(ii); | |
256 | PLib::NoDerivativeEvalPolynomial(t , pol4.Length()-1, 1, | |
257 | pol4.Length()-1, | |
258 | pol4(1), E); | |
259 | if (E < EMin) { | |
260 | Lambda = t; | |
261 | EMin = E; | |
262 | } | |
263 | } | |
264 | } | |
265 | } | |
266 | } | |
267 | ||
268 | #include <Extrema_LocateExtPC.hxx> | |
269 | //======================================================================= | |
270 | //function : RemovePointsFromArray | |
271 | //purpose : | |
272 | //======================================================================= | |
273 | ||
274 | void GeomLib::RemovePointsFromArray(const Standard_Integer NumPoints, | |
275 | const TColStd_Array1OfReal& InParameters, | |
276 | Handle(TColStd_HArray1OfReal)& OutParameters) | |
277 | { | |
278 | Standard_Integer ii, | |
279 | jj, | |
280 | add_one_point, | |
281 | loc_num_points, | |
282 | num_points, | |
283 | index ; | |
284 | Standard_Real delta, | |
285 | current_parameter ; | |
286 | ||
287 | loc_num_points = Max(0,NumPoints-2) ; | |
288 | delta = InParameters(InParameters.Upper()) - InParameters(InParameters.Lower()) ; | |
289 | delta /= (Standard_Real) (loc_num_points + 1) ; | |
290 | num_points = 1 ; | |
291 | current_parameter = InParameters(InParameters.Lower()) + delta * 0.5e0 ; | |
292 | ii = InParameters.Lower() + 1 ; | |
293 | for (jj = 0 ; ii < InParameters.Upper() && jj < NumPoints ; jj++) { | |
294 | add_one_point = 0 ; | |
295 | while ( ii < InParameters.Upper() && InParameters(ii) < current_parameter) { | |
296 | ii += 1 ; | |
297 | add_one_point = 1 ; | |
298 | } | |
299 | num_points += add_one_point ; | |
300 | current_parameter += delta ; | |
301 | } | |
302 | if (NumPoints <= 2) { | |
303 | num_points = 2 ; | |
304 | } | |
305 | index = 2 ; | |
306 | current_parameter = InParameters(InParameters.Lower()) + delta * 0.5e0 ; | |
307 | OutParameters = | |
308 | new TColStd_HArray1OfReal(1,num_points) ; | |
309 | OutParameters->ChangeArray1()(1) = InParameters(InParameters.Lower()) ; | |
310 | ii = InParameters.Lower() + 1 ; | |
311 | for (jj = 0 ; ii < InParameters.Upper() && jj < NumPoints ; jj++) { | |
312 | add_one_point = 0 ; | |
313 | while (ii < InParameters.Upper() && InParameters(ii) < current_parameter) { | |
314 | ii += 1 ; | |
315 | add_one_point = 1 ; | |
316 | } | |
317 | if (add_one_point && index <= num_points) { | |
318 | OutParameters->ChangeArray1()(index) = InParameters(ii-1) ; | |
319 | index += 1 ; | |
320 | } | |
321 | current_parameter += delta ; | |
322 | } | |
323 | OutParameters->ChangeArray1()(num_points) = InParameters(InParameters.Upper()) ; | |
324 | } | |
325 | //======================================================================= | |
326 | //function : DensifyArray1OfReal | |
327 | //purpose : | |
328 | //======================================================================= | |
329 | ||
330 | void GeomLib::DensifyArray1OfReal(const Standard_Integer MinNumPoints, | |
331 | const TColStd_Array1OfReal& InParameters, | |
332 | Handle(TColStd_HArray1OfReal)& OutParameters) | |
333 | { | |
334 | Standard_Integer ii, | |
335 | in_order, | |
336 | num_points, | |
337 | num_parameters_to_add, | |
338 | index ; | |
339 | Standard_Real delta, | |
340 | current_parameter ; | |
341 | ||
342 | in_order = 1 ; | |
343 | if (MinNumPoints > InParameters.Length()) { | |
344 | ||
345 | // | |
346 | // checks the paramaters are in increasing order | |
347 | // | |
348 | for (ii = InParameters.Lower() ; ii < InParameters.Upper() ; ii++) { | |
349 | if (InParameters(ii) > InParameters(ii+1)) { | |
350 | in_order = 0 ; | |
351 | break ; | |
352 | } | |
353 | } | |
354 | if (in_order) { | |
355 | num_parameters_to_add = MinNumPoints - InParameters.Length() ; | |
356 | delta = InParameters(InParameters.Upper()) - InParameters(InParameters.Lower()) ; | |
357 | delta /= (Standard_Real) (num_parameters_to_add + 1) ; | |
358 | num_points = MinNumPoints ; | |
359 | OutParameters = | |
360 | new TColStd_HArray1OfReal(1,num_points) ; | |
361 | index = 1 ; | |
362 | current_parameter = InParameters(InParameters.Lower()) ; | |
363 | OutParameters->ChangeArray1()(index) = current_parameter ; | |
364 | index += 1 ; | |
365 | current_parameter += delta ; | |
366 | for (ii = InParameters.Lower() + 1 ; index <= num_points && ii <= InParameters.Upper() ; ii++) { | |
367 | while (current_parameter < InParameters(ii) && index <= num_points) { | |
368 | OutParameters->ChangeArray1()(index) = current_parameter ; | |
369 | index += 1 ; | |
370 | current_parameter += delta ; | |
371 | } | |
372 | if (index <= num_points) { | |
373 | OutParameters->ChangeArray1()(index) = InParameters(ii) ; | |
374 | } | |
375 | index += 1 ; | |
376 | } | |
377 | // | |
378 | // beware of roundoff ! | |
379 | // | |
380 | OutParameters->ChangeArray1()(num_points) = InParameters(InParameters.Upper()) ; | |
381 | } | |
382 | else { | |
383 | index = 1 ; | |
384 | num_points = InParameters.Length() ; | |
385 | OutParameters = | |
386 | new TColStd_HArray1OfReal(1,num_points) ; | |
387 | for (ii = InParameters.Lower() ; ii <= InParameters.Upper() ; ii++) { | |
388 | OutParameters->ChangeArray1()(index) = InParameters(ii) ; | |
389 | index += 1 ; | |
390 | } | |
391 | } | |
392 | } | |
393 | else { | |
394 | index = 1 ; | |
395 | num_points = InParameters.Length() ; | |
396 | OutParameters = | |
397 | new TColStd_HArray1OfReal(1,num_points) ; | |
398 | for (ii = InParameters.Lower() ; ii <= InParameters.Upper() ; ii++) { | |
399 | OutParameters->ChangeArray1()(index) = InParameters(ii) ; | |
400 | index += 1 ; | |
401 | } | |
402 | } | |
403 | } | |
404 | ||
405 | //======================================================================= | |
406 | //function : FuseIntervals | |
407 | //purpose : | |
408 | //======================================================================= | |
409 | void GeomLib::FuseIntervals(const TColStd_Array1OfReal& I1, | |
410 | const TColStd_Array1OfReal& I2, | |
411 | TColStd_SequenceOfReal& Seq, | |
412 | const Standard_Real Epspar) | |
413 | { | |
414 | Standard_Integer ind1=1, ind2=1; | |
415 | Standard_Real v1, v2; | |
416 | // Initialisations : les IND1 et IND2 pointent sur le 1er element | |
417 | // de chacune des 2 tables a traiter.INDS pointe sur le dernier | |
418 | // element cree de TABSOR | |
419 | ||
420 | ||
421 | //--- On remplit TABSOR en parcourant TABLE1 et TABLE2 simultanement --- | |
422 | //------------------ en eliminant les occurrences multiples ------------ | |
423 | ||
424 | while ((ind1<=I1.Upper()) && (ind2<=I2.Upper())) { | |
425 | v1 = I1(ind1); | |
426 | v2 = I2(ind2); | |
427 | if (Abs(v1-v2)<= Epspar) { | |
428 | // Ici les elements de I1 et I2 conviennent . | |
429 | Seq.Append((v1+v2)/2); | |
430 | ind1++; | |
431 | ind2++; | |
432 | } | |
433 | else if (v1 < v2) { | |
434 | // Ici l' element de I1 convient. | |
435 | Seq.Append(v1); | |
436 | ind1++; | |
437 | } | |
438 | else { | |
439 | // Ici l' element de TABLE2 convient. | |
440 | Seq.Append(v2); | |
441 | ind2++; | |
442 | } | |
443 | } | |
444 | ||
445 | if (ind1>I1.Upper()) { | |
446 | //----- Ici I1 est epuise, on complete avec la fin de TABLE2 ------- | |
447 | ||
448 | for (; ind2<=I2.Upper(); ind2++) { | |
449 | Seq.Append(I2(ind2)); | |
450 | } | |
451 | } | |
452 | ||
453 | if (ind2>I2.Upper()) { | |
454 | //----- Ici I2 est epuise, on complete avec la fin de I1 ------- | |
455 | for (; ind1<=I1.Upper(); ind1++) { | |
456 | Seq.Append(I1(ind1)); | |
457 | } | |
458 | } | |
459 | } | |
460 | ||
461 | ||
462 | //======================================================================= | |
463 | //function : EvalMaxParametricDistance | |
464 | //purpose : | |
465 | //======================================================================= | |
466 | ||
467 | void GeomLib::EvalMaxParametricDistance(const Adaptor3d_Curve& ACurve, | |
468 | const Adaptor3d_Curve& AReferenceCurve, | |
469 | // const Standard_Real Tolerance, | |
470 | const Standard_Real , | |
471 | const TColStd_Array1OfReal& Parameters, | |
472 | Standard_Real& MaxDistance) | |
473 | { | |
474 | Standard_Integer ii ; | |
475 | ||
476 | Standard_Real max_squared = 0.0e0, | |
477 | // tolerance_squared, | |
478 | local_distance_squared ; | |
479 | ||
480 | // tolerance_squared = Tolerance * Tolerance ; | |
481 | gp_Pnt Point1 ; | |
482 | gp_Pnt Point2 ; | |
483 | for (ii = Parameters.Lower() ; ii <= Parameters.Upper() ; ii++) { | |
484 | ACurve.D0(Parameters(ii), | |
485 | Point1) ; | |
486 | AReferenceCurve.D0(Parameters(ii), | |
487 | Point2) ; | |
488 | local_distance_squared = | |
489 | Point1.SquareDistance (Point2) ; | |
490 | max_squared = Max(max_squared,local_distance_squared) ; | |
491 | } | |
492 | if (max_squared > 0.0e0) { | |
493 | MaxDistance = sqrt(max_squared) ; | |
494 | } | |
495 | else { | |
496 | MaxDistance = 0.0e0 ; | |
497 | } | |
498 | ||
499 | } | |
500 | //======================================================================= | |
501 | //function : EvalMaxDistanceAlongParameter | |
502 | //purpose : | |
503 | //======================================================================= | |
504 | ||
505 | void GeomLib::EvalMaxDistanceAlongParameter(const Adaptor3d_Curve& ACurve, | |
506 | const Adaptor3d_Curve& AReferenceCurve, | |
507 | const Standard_Real Tolerance, | |
508 | const TColStd_Array1OfReal& Parameters, | |
509 | Standard_Real& MaxDistance) | |
510 | { | |
511 | Standard_Integer ii ; | |
512 | Standard_Real max_squared = 0.0e0, | |
513 | tolerance_squared = Tolerance * Tolerance, | |
514 | other_parameter, | |
515 | para_tolerance, | |
516 | local_distance_squared ; | |
517 | gp_Pnt Point1 ; | |
518 | gp_Pnt Point2 ; | |
519 | ||
520 | ||
521 | ||
522 | para_tolerance = | |
523 | AReferenceCurve.Resolution(Tolerance) ; | |
524 | other_parameter = Parameters(Parameters.Lower()) ; | |
525 | ACurve.D0(other_parameter, | |
526 | Point1) ; | |
527 | Extrema_LocateExtPC a_projector(Point1, | |
528 | AReferenceCurve, | |
529 | other_parameter, | |
530 | para_tolerance) ; | |
531 | for (ii = Parameters.Lower() ; ii <= Parameters.Upper() ; ii++) { | |
532 | ACurve.D0(Parameters(ii), | |
533 | Point1) ; | |
534 | AReferenceCurve.D0(Parameters(ii), | |
535 | Point2) ; | |
536 | local_distance_squared = | |
537 | Point1.SquareDistance (Point2) ; | |
538 | ||
539 | local_distance_squared = | |
540 | Point1.SquareDistance (Point2) ; | |
541 | ||
542 | ||
543 | if (local_distance_squared > tolerance_squared) { | |
544 | ||
545 | ||
546 | a_projector.Perform(Point1, | |
547 | other_parameter) ; | |
548 | if (a_projector.IsDone()) { | |
549 | other_parameter = | |
550 | a_projector.Point().Parameter() ; | |
551 | AReferenceCurve.D0(other_parameter, | |
552 | Point2) ; | |
553 | local_distance_squared = | |
554 | Point1.SquareDistance (Point2) ; | |
555 | } | |
556 | else { | |
557 | local_distance_squared = 0.0e0 ; | |
558 | other_parameter = Parameters(ii) ; | |
559 | } | |
560 | } | |
561 | else { | |
562 | other_parameter = Parameters(ii) ; | |
563 | } | |
564 | ||
565 | ||
566 | max_squared = Max(max_squared,local_distance_squared) ; | |
567 | } | |
568 | if (max_squared > tolerance_squared) { | |
569 | MaxDistance = sqrt(max_squared) ; | |
570 | } | |
571 | else { | |
572 | MaxDistance = Tolerance ; | |
573 | } | |
574 | } | |
575 | ||
576 | ||
577 | ||
578 | // Aliases: | |
579 | ||
580 | // Global data definitions: | |
581 | ||
582 | // Methods : | |
583 | ||
584 | ||
585 | //======================================================================= | |
586 | //function : To3d | |
587 | //purpose : | |
588 | //======================================================================= | |
589 | ||
590 | Handle(Geom_Curve) GeomLib::To3d (const gp_Ax2& Position, | |
591 | const Handle(Geom2d_Curve)& Curve2d ) { | |
592 | Handle(Geom_Curve) Curve3d; | |
593 | Handle(Standard_Type) KindOfCurve = Curve2d->DynamicType(); | |
594 | ||
595 | if (KindOfCurve == STANDARD_TYPE (Geom2d_TrimmedCurve)) { | |
596 | Handle(Geom2d_TrimmedCurve) Ct = | |
597 | Handle(Geom2d_TrimmedCurve)::DownCast(Curve2d); | |
598 | Standard_Real U1 = Ct->FirstParameter (); | |
599 | Standard_Real U2 = Ct->LastParameter (); | |
600 | Handle(Geom2d_Curve) CBasis2d = Ct->BasisCurve(); | |
601 | Handle(Geom_Curve) CC = GeomLib::To3d(Position, CBasis2d); | |
602 | Curve3d = new Geom_TrimmedCurve (CC, U1, U2); | |
603 | } | |
604 | else if (KindOfCurve == STANDARD_TYPE (Geom2d_OffsetCurve)) { | |
605 | Handle(Geom2d_OffsetCurve) Co = | |
606 | Handle(Geom2d_OffsetCurve)::DownCast(Curve2d); | |
607 | Standard_Real Offset = Co->Offset(); | |
608 | Handle(Geom2d_Curve) CBasis2d = Co->BasisCurve(); | |
609 | Handle(Geom_Curve) CC = GeomLib::To3d(Position, CBasis2d); | |
610 | Curve3d = new Geom_OffsetCurve (CC, Offset, Position.Direction()); | |
611 | } | |
612 | else if (KindOfCurve == STANDARD_TYPE (Geom2d_BezierCurve)) { | |
613 | Handle(Geom2d_BezierCurve) CBez2d = | |
614 | Handle(Geom2d_BezierCurve)::DownCast (Curve2d); | |
615 | Standard_Integer Nbpoles = CBez2d->NbPoles (); | |
616 | TColgp_Array1OfPnt2d Poles2d (1, Nbpoles); | |
617 | CBez2d->Poles (Poles2d); | |
618 | TColgp_Array1OfPnt Poles3d (1, Nbpoles); | |
619 | for (Standard_Integer i = 1; i <= Nbpoles; i++) { | |
620 | Poles3d (i) = ElCLib::To3d (Position, Poles2d (i)); | |
621 | } | |
622 | Handle(Geom_BezierCurve) CBez3d; | |
623 | if (CBez2d->IsRational()) { | |
624 | TColStd_Array1OfReal TheWeights (1, Nbpoles); | |
625 | CBez2d->Weights (TheWeights); | |
626 | CBez3d = new Geom_BezierCurve (Poles3d, TheWeights); | |
627 | } | |
628 | else { | |
629 | CBez3d = new Geom_BezierCurve (Poles3d); | |
630 | } | |
631 | Curve3d = CBez3d; | |
632 | } | |
633 | else if (KindOfCurve == STANDARD_TYPE (Geom2d_BSplineCurve)) { | |
634 | Handle(Geom2d_BSplineCurve) CBSpl2d = | |
635 | Handle(Geom2d_BSplineCurve)::DownCast (Curve2d); | |
636 | Standard_Integer Nbpoles = CBSpl2d->NbPoles (); | |
637 | Standard_Integer Nbknots = CBSpl2d->NbKnots (); | |
638 | Standard_Integer TheDegree = CBSpl2d->Degree (); | |
639 | Standard_Boolean IsPeriodic = CBSpl2d->IsPeriodic(); | |
640 | TColgp_Array1OfPnt2d Poles2d (1, Nbpoles); | |
641 | CBSpl2d->Poles (Poles2d); | |
642 | TColgp_Array1OfPnt Poles3d (1, Nbpoles); | |
643 | for (Standard_Integer i = 1; i <= Nbpoles; i++) { | |
644 | Poles3d (i) = ElCLib::To3d (Position, Poles2d (i)); | |
645 | } | |
646 | TColStd_Array1OfReal TheKnots (1, Nbknots); | |
647 | TColStd_Array1OfInteger TheMults (1, Nbknots); | |
648 | CBSpl2d->Knots (TheKnots); | |
649 | CBSpl2d->Multiplicities (TheMults); | |
650 | Handle(Geom_BSplineCurve) CBSpl3d; | |
651 | if (CBSpl2d->IsRational()) { | |
652 | TColStd_Array1OfReal TheWeights (1, Nbpoles); | |
653 | CBSpl2d->Weights (TheWeights); | |
654 | CBSpl3d = new Geom_BSplineCurve (Poles3d, TheWeights, TheKnots, TheMults, TheDegree, IsPeriodic); | |
655 | } | |
656 | else { | |
657 | CBSpl3d = new Geom_BSplineCurve (Poles3d, TheKnots, TheMults, TheDegree, IsPeriodic); | |
658 | } | |
659 | Curve3d = CBSpl3d; | |
660 | } | |
661 | else if (KindOfCurve == STANDARD_TYPE (Geom2d_Line)) { | |
662 | Handle(Geom2d_Line) Line2d = Handle(Geom2d_Line)::DownCast (Curve2d); | |
663 | gp_Lin2d L2d = Line2d->Lin2d(); | |
664 | gp_Lin L3d = ElCLib::To3d (Position, L2d); | |
665 | Handle(Geom_Line) GeomL3d = new Geom_Line (L3d); | |
666 | Curve3d = GeomL3d; | |
667 | } | |
668 | else if (KindOfCurve == STANDARD_TYPE (Geom2d_Circle)) { | |
669 | Handle(Geom2d_Circle) Circle2d = | |
670 | Handle(Geom2d_Circle)::DownCast (Curve2d); | |
671 | gp_Circ2d C2d = Circle2d->Circ2d(); | |
672 | gp_Circ C3d = ElCLib::To3d (Position, C2d); | |
673 | Handle(Geom_Circle) GeomC3d = new Geom_Circle (C3d); | |
674 | Curve3d = GeomC3d; | |
675 | } | |
676 | else if (KindOfCurve == STANDARD_TYPE (Geom2d_Ellipse)) { | |
677 | Handle(Geom2d_Ellipse) Ellipse2d = | |
678 | Handle(Geom2d_Ellipse)::DownCast (Curve2d); | |
679 | gp_Elips2d E2d = Ellipse2d->Elips2d (); | |
680 | gp_Elips E3d = ElCLib::To3d (Position, E2d); | |
681 | Handle(Geom_Ellipse) GeomE3d = new Geom_Ellipse (E3d); | |
682 | Curve3d = GeomE3d; | |
683 | } | |
684 | else if (KindOfCurve == STANDARD_TYPE (Geom2d_Parabola)) { | |
685 | Handle(Geom2d_Parabola) Parabola2d = | |
686 | Handle(Geom2d_Parabola)::DownCast (Curve2d); | |
687 | gp_Parab2d Prb2d = Parabola2d->Parab2d (); | |
688 | gp_Parab Prb3d = ElCLib::To3d (Position, Prb2d); | |
689 | Handle(Geom_Parabola) GeomPrb3d = new Geom_Parabola (Prb3d); | |
690 | Curve3d = GeomPrb3d; | |
691 | } | |
692 | else if (KindOfCurve == STANDARD_TYPE (Geom2d_Hyperbola)) { | |
693 | Handle(Geom2d_Hyperbola) Hyperbola2d = | |
694 | Handle(Geom2d_Hyperbola)::DownCast (Curve2d); | |
695 | gp_Hypr2d H2d = Hyperbola2d->Hypr2d (); | |
696 | gp_Hypr H3d = ElCLib::To3d (Position, H2d); | |
697 | Handle(Geom_Hyperbola) GeomH3d = new Geom_Hyperbola (H3d); | |
698 | Curve3d = GeomH3d; | |
699 | } | |
700 | else { | |
701 | Standard_NotImplemented::Raise(); | |
702 | } | |
703 | ||
704 | return Curve3d; | |
705 | } | |
706 | ||
707 | ||
708 | ||
709 | //======================================================================= | |
710 | //function : GTransform | |
711 | //purpose : | |
712 | //======================================================================= | |
713 | ||
714 | Handle(Geom2d_Curve) GeomLib::GTransform(const Handle(Geom2d_Curve)& Curve, | |
715 | const gp_GTrsf2d& GTrsf) | |
716 | { | |
717 | gp_TrsfForm Form = GTrsf.Form(); | |
718 | ||
719 | if ( Form != gp_Other) { | |
720 | ||
721 | // Alors, la GTrsf est en fait une Trsf. | |
722 | // La geometrie des courbes sera alors inchangee. | |
723 | ||
724 | Handle(Geom2d_Curve) C = | |
725 | Handle(Geom2d_Curve)::DownCast(Curve->Transformed(GTrsf.Trsf2d())); | |
726 | return C; | |
727 | } | |
728 | else { | |
729 | ||
730 | // Alors, la GTrsf est une other Transformation. | |
731 | // La geometrie des courbes est alors changee, et les conics devront | |
732 | // etre converties en BSplines. | |
733 | ||
734 | Handle(Standard_Type) TheType = Curve->DynamicType(); | |
735 | ||
736 | if ( TheType == STANDARD_TYPE(Geom2d_TrimmedCurve)) { | |
737 | ||
738 | // On va recurer sur la BasisCurve | |
739 | ||
740 | Handle(Geom2d_TrimmedCurve) C = | |
741 | Handle(Geom2d_TrimmedCurve)::DownCast(Curve->Copy()); | |
742 | ||
743 | Handle(Standard_Type) TheBasisType = (C->BasisCurve())->DynamicType(); | |
744 | ||
745 | if (TheBasisType == STANDARD_TYPE(Geom2d_BSplineCurve) || | |
746 | TheBasisType == STANDARD_TYPE(Geom2d_BezierCurve) ) { | |
747 | ||
748 | // Dans ces cas le parametrage est conserve sur la courbe transformee | |
749 | // on peut donc la trimmer avec les parametres de la courbe de base. | |
750 | ||
751 | Standard_Real U1 = C->FirstParameter(); | |
752 | Standard_Real U2 = C->LastParameter(); | |
753 | ||
754 | Handle(Geom2d_TrimmedCurve) result = | |
755 | new Geom2d_TrimmedCurve(GTransform(C->BasisCurve(), GTrsf), U1,U2); | |
756 | return result; | |
757 | } | |
758 | else if ( TheBasisType == STANDARD_TYPE(Geom2d_Line)) { | |
759 | ||
760 | // Dans ce cas, le parametrage n`est plus conserve. | |
761 | // Il faut recalculer les parametres de Trimming sur la courbe | |
762 | // resultante. ( Calcul par projection ( ElCLib) des points debut | |
763 | // et fin transformes) | |
764 | ||
765 | Handle(Geom2d_Line) L = | |
766 | Handle(Geom2d_Line)::DownCast(GTransform(C->BasisCurve(), GTrsf)); | |
767 | gp_Lin2d Lin = L->Lin2d(); | |
768 | ||
769 | gp_Pnt2d P1 = C->StartPoint(); | |
770 | gp_Pnt2d P2 = C->EndPoint(); | |
771 | P1.SetXY(GTrsf.Transformed(P1.XY())); | |
772 | P2.SetXY(GTrsf.Transformed(P2.XY())); | |
773 | Standard_Real U1 = ElCLib::Parameter(Lin,P1); | |
774 | Standard_Real U2 = ElCLib::Parameter(Lin,P2); | |
775 | ||
776 | Handle(Geom2d_TrimmedCurve) result = | |
777 | new Geom2d_TrimmedCurve(L,U1,U2); | |
778 | return result; | |
779 | } | |
780 | else if (TheBasisType == STANDARD_TYPE(Geom2d_Circle) || | |
781 | TheBasisType == STANDARD_TYPE(Geom2d_Ellipse) || | |
782 | TheBasisType == STANDARD_TYPE(Geom2d_Parabola) || | |
783 | TheBasisType == STANDARD_TYPE(Geom2d_Hyperbola) ) { | |
784 | ||
785 | // Dans ces cas, la geometrie de la courbe n`est pas conservee | |
786 | // on la convertir en BSpline avant de lui appliquer la Trsf. | |
787 | ||
788 | Handle(Geom2d_BSplineCurve) BS = | |
789 | Geom2dConvert::CurveToBSplineCurve(C); | |
790 | return GTransform(BS,GTrsf); | |
791 | } | |
792 | else { | |
793 | ||
794 | // La transformee d`une OffsetCurve vaut ????? Sais pas faire !! | |
795 | ||
796 | Handle(Geom2d_Curve) dummy; | |
797 | return dummy; | |
798 | } | |
799 | } | |
800 | else if ( TheType == STANDARD_TYPE(Geom2d_Line)) { | |
801 | ||
802 | Handle(Geom2d_Line) L = | |
803 | Handle(Geom2d_Line)::DownCast(Curve->Copy()); | |
804 | gp_Lin2d Lin = L->Lin2d(); | |
805 | gp_Pnt2d P = Lin.Location(); | |
806 | gp_Pnt2d PP = L->Value(10.); // pourquoi pas !! | |
807 | P.SetXY(GTrsf.Transformed(P.XY())); | |
808 | PP.SetXY(GTrsf.Transformed(PP.XY())); | |
809 | L->SetLocation(P); | |
810 | gp_Vec2d V(P,PP); | |
811 | L->SetDirection(gp_Dir2d(V)); | |
812 | return L; | |
813 | } | |
814 | else if ( TheType == STANDARD_TYPE(Geom2d_BezierCurve)) { | |
815 | ||
816 | // Les GTrsf etant des operation lineaires, la transformee d`une courbe | |
817 | // a poles est la courbe dont les poles sont la transformee des poles | |
818 | // de la courbe de base. | |
819 | ||
820 | Handle(Geom2d_BezierCurve) C = | |
821 | Handle(Geom2d_BezierCurve)::DownCast(Curve->Copy()); | |
822 | Standard_Integer NbPoles = C->NbPoles(); | |
823 | TColgp_Array1OfPnt2d Poles(1,NbPoles); | |
824 | C->Poles(Poles); | |
825 | for ( Standard_Integer i = 1; i <= NbPoles; i++) { | |
826 | Poles(i).SetXY(GTrsf.Transformed(Poles(i).XY())); | |
827 | C->SetPole(i,Poles(i)); | |
828 | } | |
829 | return C; | |
830 | } | |
831 | else if ( TheType == STANDARD_TYPE(Geom2d_BSplineCurve)) { | |
832 | ||
833 | // Voir commentaire pour les Bezier. | |
834 | ||
835 | Handle(Geom2d_BSplineCurve) C = | |
836 | Handle(Geom2d_BSplineCurve)::DownCast(Curve->Copy()); | |
837 | Standard_Integer NbPoles = C->NbPoles(); | |
838 | TColgp_Array1OfPnt2d Poles(1,NbPoles); | |
839 | C->Poles(Poles); | |
840 | for ( Standard_Integer i = 1; i <= NbPoles; i++) { | |
841 | Poles(i).SetXY(GTrsf.Transformed(Poles(i).XY())); | |
842 | C->SetPole(i,Poles(i)); | |
843 | } | |
844 | return C; | |
845 | } | |
846 | else if ( TheType == STANDARD_TYPE(Geom2d_Circle) || | |
847 | TheType == STANDARD_TYPE(Geom2d_Ellipse) ) { | |
848 | ||
849 | // Dans ces cas, la geometrie de la courbe n`est pas conservee | |
850 | // on la convertir en BSpline avant de lui appliquer la Trsf. | |
851 | ||
852 | Handle(Geom2d_BSplineCurve) C = | |
853 | Geom2dConvert::CurveToBSplineCurve(Curve); | |
854 | return GTransform(C, GTrsf); | |
855 | } | |
856 | else if ( TheType == STANDARD_TYPE(Geom2d_Parabola) || | |
857 | TheType == STANDARD_TYPE(Geom2d_Hyperbola) || | |
858 | TheType == STANDARD_TYPE(Geom2d_OffsetCurve) ) { | |
859 | ||
860 | // On ne sait pas faire : return a null Handle; | |
861 | ||
862 | Handle(Geom2d_Curve) dummy; | |
863 | return dummy; | |
864 | } | |
865 | } | |
866 | ||
867 | Handle(Geom2d_Curve) WNT__; // portage Windows. | |
868 | return WNT__; | |
869 | } | |
870 | ||
871 | ||
872 | //======================================================================= | |
873 | //function : SameRange | |
874 | //purpose : | |
875 | //======================================================================= | |
876 | void GeomLib::SameRange(const Standard_Real Tolerance, | |
877 | const Handle(Geom2d_Curve)& CurvePtr, | |
878 | const Standard_Real FirstOnCurve, | |
879 | const Standard_Real LastOnCurve, | |
880 | const Standard_Real RequestedFirst, | |
881 | const Standard_Real RequestedLast, | |
882 | Handle(Geom2d_Curve)& NewCurvePtr) | |
883 | { | |
884 | if(CurvePtr.IsNull()) Standard_Failure::Raise(); | |
885 | if (Abs(LastOnCurve - RequestedLast) <= Tolerance && | |
886 | Abs(FirstOnCurve - RequestedFirst) <= Tolerance) { | |
887 | NewCurvePtr = CurvePtr; | |
888 | return; | |
889 | } | |
890 | ||
891 | // the parametrisation lentgh must at least be the same. | |
892 | if (Abs(LastOnCurve - FirstOnCurve - RequestedLast + RequestedFirst) | |
893 | <= Tolerance) { | |
894 | if (CurvePtr->IsKind(STANDARD_TYPE(Geom2d_Line))) { | |
895 | Handle(Geom2d_Line) Line = | |
896 | Handle(Geom2d_Line)::DownCast(CurvePtr->Copy()); | |
897 | Standard_Real dU = FirstOnCurve - RequestedFirst; | |
898 | gp_Dir2d D = Line->Direction() ; | |
899 | Line->Translate(dU * gp_Vec2d(D)); | |
900 | NewCurvePtr = Line; | |
901 | } | |
902 | else if (CurvePtr->IsKind(STANDARD_TYPE(Geom2d_Circle))) { | |
903 | gp_Trsf2d Trsf; | |
904 | NewCurvePtr = Handle(Geom2d_Curve)::DownCast(CurvePtr->Copy()); | |
905 | Handle(Geom2d_Circle) Circ = | |
906 | Handle(Geom2d_Circle)::DownCast(NewCurvePtr); | |
907 | gp_Pnt2d P = Circ->Location(); | |
908 | Standard_Real dU; | |
909 | if (Circ->Circ2d().IsDirect()) { | |
910 | dU = FirstOnCurve - RequestedFirst; | |
911 | } | |
912 | else { | |
913 | dU = RequestedFirst - FirstOnCurve; | |
914 | } | |
915 | Trsf.SetRotation(P,dU); | |
916 | NewCurvePtr->Transform(Trsf) ; | |
917 | } | |
918 | else if (CurvePtr->IsKind(STANDARD_TYPE(Geom2d_TrimmedCurve))) { | |
919 | Handle(Geom2d_TrimmedCurve) TC = | |
920 | Handle(Geom2d_TrimmedCurve)::DownCast(CurvePtr); | |
921 | GeomLib::SameRange(Tolerance, | |
922 | TC->BasisCurve(), | |
923 | FirstOnCurve , LastOnCurve, | |
924 | RequestedFirst, RequestedLast, | |
925 | NewCurvePtr); | |
926 | NewCurvePtr = new Geom2d_TrimmedCurve( NewCurvePtr, RequestedFirst, RequestedLast ); | |
927 | } | |
928 | // | |
929 | // attention a des problemes de limitation : utiliser le MEME test que dans | |
930 | // Geom2d_TrimmedCurve::SetTrim car sinon comme on risque de relimite sur | |
931 | // RequestedFirst et RequestedLast on aura un probleme | |
932 | // | |
933 | // | |
934 | else if (Abs(LastOnCurve - FirstOnCurve) > Precision::PConfusion() || | |
935 | Abs(RequestedLast + RequestedFirst) > Precision::PConfusion()) { | |
936 | ||
937 | Handle(Geom2d_TrimmedCurve) TC = | |
938 | new Geom2d_TrimmedCurve(CurvePtr,FirstOnCurve,LastOnCurve); | |
939 | ||
940 | Handle(Geom2d_BSplineCurve) BS = | |
941 | Geom2dConvert::CurveToBSplineCurve(TC); | |
942 | TColStd_Array1OfReal Knots(1,BS->NbKnots()); | |
943 | BS->Knots(Knots); | |
944 | ||
945 | BSplCLib::Reparametrize(RequestedFirst,RequestedLast,Knots); | |
946 | ||
947 | BS->SetKnots(Knots); | |
948 | NewCurvePtr = BS; | |
949 | } | |
950 | ||
951 | } | |
952 | else { // On segmente le resultat | |
953 | Handle(Geom2d_TrimmedCurve) TC = | |
954 | new Geom2d_TrimmedCurve( CurvePtr, FirstOnCurve, LastOnCurve ); | |
955 | ||
956 | Standard_Real newFirstOnCurve = TC->FirstParameter(), newLastOnCurve = TC->LastParameter(); | |
957 | ||
958 | Handle(Geom2d_BSplineCurve) BS = | |
959 | Geom2dConvert::CurveToBSplineCurve(TC); | |
960 | ||
961 | if (BS->IsPeriodic()) | |
962 | BS->Segment( newFirstOnCurve, newLastOnCurve) ; | |
963 | else | |
964 | BS->Segment( Max(newFirstOnCurve, BS->FirstParameter()), | |
965 | Min(newLastOnCurve, BS->LastParameter()) ); | |
966 | ||
967 | TColStd_Array1OfReal Knots(1,BS->NbKnots()); | |
968 | BS->Knots(Knots); | |
969 | ||
970 | BSplCLib::Reparametrize(RequestedFirst,RequestedLast,Knots); | |
971 | ||
972 | BS->SetKnots(Knots); | |
973 | NewCurvePtr = BS; | |
974 | } | |
975 | } | |
976 | ||
977 | //======================================================================= | |
978 | //class : GeomLib_CurveOnSurfaceEvaluator | |
979 | //purpose: The evaluator for the Curve 3D building | |
980 | //======================================================================= | |
981 | ||
982 | class GeomLib_CurveOnSurfaceEvaluator : public AdvApprox_EvaluatorFunction | |
983 | { | |
984 | public: | |
985 | GeomLib_CurveOnSurfaceEvaluator (Adaptor3d_CurveOnSurface& theCurveOnSurface, | |
986 | Standard_Real theFirst, Standard_Real theLast) | |
987 | : CurveOnSurface(theCurveOnSurface), FirstParam(theFirst), LastParam(theLast) {} | |
988 | ||
989 | virtual void Evaluate (Standard_Integer *Dimension, | |
990 | Standard_Real StartEnd[2], | |
991 | Standard_Real *Parameter, | |
992 | Standard_Integer *DerivativeRequest, | |
993 | Standard_Real *Result, // [Dimension] | |
994 | Standard_Integer *ErrorCode); | |
995 | ||
996 | private: | |
997 | Adaptor3d_CurveOnSurface& CurveOnSurface; | |
998 | Standard_Real FirstParam; | |
999 | Standard_Real LastParam; | |
1000 | ||
1001 | Handle(Adaptor3d_HCurve) TrimCurve; | |
1002 | }; | |
1003 | ||
1004 | void GeomLib_CurveOnSurfaceEvaluator::Evaluate (Standard_Integer *,/*Dimension*/ | |
1005 | Standard_Real DebutFin[2], | |
1006 | Standard_Real *Parameter, | |
1007 | Standard_Integer *DerivativeRequest, | |
1008 | Standard_Real *Result,// [Dimension] | |
1009 | Standard_Integer *ReturnCode) | |
1010 | { | |
1011 | register Standard_Integer ii ; | |
1012 | gp_Pnt Point ; | |
1013 | ||
1014 | //Gestion des positionnements gauche / droite | |
1015 | if ((DebutFin[0] != FirstParam) || (DebutFin[1] != LastParam)) | |
1016 | { | |
1017 | TrimCurve = CurveOnSurface.Trim(DebutFin[0], DebutFin[1], Precision::PConfusion()); | |
1018 | FirstParam = DebutFin[0]; | |
1019 | LastParam = DebutFin[1]; | |
1020 | } | |
1021 | ||
1022 | //Positionemment | |
1023 | if (*DerivativeRequest == 0) | |
1024 | { | |
1025 | TrimCurve->D0((*Parameter), Point) ; | |
1026 | ||
1027 | for (ii = 0 ; ii < 3 ; ii++) | |
1028 | Result[ii] = Point.Coord(ii + 1); | |
1029 | } | |
1030 | if (*DerivativeRequest == 1) | |
1031 | { | |
1032 | gp_Vec Vector; | |
1033 | TrimCurve->D1((*Parameter), Point, Vector); | |
1034 | for (ii = 0 ; ii < 3 ; ii++) | |
1035 | Result[ii] = Vector.Coord(ii + 1) ; | |
1036 | } | |
1037 | if (*DerivativeRequest == 2) | |
1038 | { | |
1039 | gp_Vec Vector, VecBis; | |
1040 | TrimCurve->D2((*Parameter), Point, VecBis, Vector); | |
1041 | for (ii = 0 ; ii < 3 ; ii++) | |
1042 | Result[ii] = Vector.Coord(ii + 1) ; | |
1043 | } | |
1044 | ReturnCode[0] = 0; | |
1045 | } | |
1046 | ||
1047 | //======================================================================= | |
1048 | //function : BuildCurve3d | |
1049 | //purpose : | |
1050 | //======================================================================= | |
1051 | ||
1052 | void GeomLib::BuildCurve3d(const Standard_Real Tolerance, | |
1053 | Adaptor3d_CurveOnSurface& Curve, | |
1054 | const Standard_Real FirstParameter, | |
1055 | const Standard_Real LastParameter, | |
857ffd5e | 1056 | Handle(Geom_Curve)& NewCurvePtr, |
7fd59977 | 1057 | Standard_Real& MaxDeviation, |
1058 | Standard_Real& AverageDeviation, | |
1059 | const GeomAbs_Shape Continuity, | |
1060 | const Standard_Integer MaxDegree, | |
1061 | const Standard_Integer MaxSegment) | |
1062 | ||
1063 | { | |
1064 | ||
1065 | ||
1066 | Standard_Integer curve_not_computed = 1 ; | |
1067 | MaxDeviation = 0.0e0 ; | |
1068 | AverageDeviation = 0.0e0 ; | |
1069 | const Handle(GeomAdaptor_HSurface) & geom_adaptor_surface_ptr = | |
1070 | Handle(GeomAdaptor_HSurface)::DownCast(Curve.GetSurface()) ; | |
1071 | const Handle(Geom2dAdaptor_HCurve) & geom_adaptor_curve_ptr = | |
1072 | Handle(Geom2dAdaptor_HCurve)::DownCast(Curve.GetCurve()) ; | |
1073 | ||
1074 | if (! geom_adaptor_curve_ptr.IsNull() && | |
1075 | ! geom_adaptor_surface_ptr.IsNull()) { | |
1076 | Handle(Geom_Plane) P ; | |
1077 | const GeomAdaptor_Surface & geom_surface = | |
1078 | * (GeomAdaptor_Surface *) &geom_adaptor_surface_ptr->Surface() ; | |
1079 | ||
1080 | Handle(Geom_RectangularTrimmedSurface) RT = | |
1081 | Handle(Geom_RectangularTrimmedSurface):: | |
1082 | DownCast(geom_surface.Surface()); | |
1083 | if ( RT.IsNull()) { | |
1084 | P = Handle(Geom_Plane)::DownCast(geom_surface.Surface()); | |
1085 | } | |
1086 | else { | |
1087 | P = Handle(Geom_Plane)::DownCast(RT->BasisSurface()); | |
1088 | } | |
1089 | ||
1090 | ||
1091 | if (! P.IsNull()) { | |
1092 | // compute the 3d curve | |
1093 | gp_Ax2 axes = P->Position().Ax2(); | |
1094 | const Geom2dAdaptor_Curve & geom2d_curve = | |
1095 | * (Geom2dAdaptor_Curve *) & geom_adaptor_curve_ptr->Curve2d() ; | |
1096 | NewCurvePtr = | |
1097 | GeomLib::To3d(axes, | |
1098 | geom2d_curve.Curve()); | |
1099 | curve_not_computed = 0 ; | |
1100 | ||
1101 | } | |
1102 | } | |
1103 | if (curve_not_computed) { | |
1104 | ||
1105 | // | |
1106 | // Entree | |
1107 | // | |
1108 | Handle(TColStd_HArray1OfReal) Tolerance1DPtr,Tolerance2DPtr; | |
1109 | Handle(TColStd_HArray1OfReal) Tolerance3DPtr = | |
1110 | new TColStd_HArray1OfReal(1,1) ; | |
1111 | Tolerance3DPtr->SetValue(1,Tolerance); | |
1112 | ||
1113 | // Recherche des discontinuitees | |
1114 | Standard_Integer NbIntervalC2 = Curve.NbIntervals(GeomAbs_C2); | |
1115 | TColStd_Array1OfReal Param_de_decoupeC2 (1, NbIntervalC2+1); | |
1116 | Curve.Intervals(Param_de_decoupeC2, GeomAbs_C2); | |
1117 | ||
1118 | Standard_Integer NbIntervalC3 = Curve.NbIntervals(GeomAbs_C3); | |
1119 | TColStd_Array1OfReal Param_de_decoupeC3 (1, NbIntervalC3+1); | |
1120 | Curve.Intervals(Param_de_decoupeC3, GeomAbs_C3); | |
1121 | ||
1122 | // Note extension of the parameteric range | |
1123 | // Pour forcer le Trim au premier appel de l'evaluateur | |
1124 | GeomLib_CurveOnSurfaceEvaluator ev (Curve, FirstParameter - 1., LastParameter + 1.); | |
1125 | ||
1126 | // Approximation avec decoupe preferentiel | |
1127 | AdvApprox_PrefAndRec Preferentiel(Param_de_decoupeC2, | |
1128 | Param_de_decoupeC3); | |
1129 | AdvApprox_ApproxAFunction anApproximator(0, | |
1130 | 0, | |
1131 | 1, | |
1132 | Tolerance1DPtr, | |
1133 | Tolerance2DPtr, | |
1134 | Tolerance3DPtr, | |
1135 | FirstParameter, | |
1136 | LastParameter, | |
1137 | Continuity, | |
1138 | MaxDegree, | |
1139 | MaxSegment, | |
1140 | ev, | |
1141 | // CurveOnSurfaceEvaluator, | |
1142 | Preferentiel) ; | |
1143 | ||
1144 | if (anApproximator.HasResult()) { | |
1145 | GeomLib_MakeCurvefromApprox | |
1146 | aCurveBuilder(anApproximator) ; | |
1147 | ||
1148 | Handle(Geom_BSplineCurve) aCurvePtr = | |
1149 | aCurveBuilder.Curve(1) ; | |
1150 | // On rend les resultats de l'approx | |
1151 | MaxDeviation = anApproximator.MaxError(3,1) ; | |
1152 | AverageDeviation = anApproximator.AverageError(3,1) ; | |
1153 | NewCurvePtr = aCurvePtr ; | |
1154 | } | |
1155 | } | |
1156 | } | |
1157 | ||
1158 | //======================================================================= | |
1159 | //function : AdjustExtremity | |
1160 | //purpose : | |
1161 | //======================================================================= | |
1162 | ||
1163 | void GeomLib::AdjustExtremity(Handle(Geom_BoundedCurve)& Curve, | |
1164 | const gp_Pnt& P1, | |
1165 | const gp_Pnt& P2, | |
1166 | const gp_Vec& T1, | |
1167 | const gp_Vec& T2) | |
1168 | { | |
1169 | // il faut Convertir l'entree (en preservant si possible le parametrage) | |
1170 | Handle(Geom_BSplineCurve) aIn, aDef; | |
1171 | aIn = GeomConvert::CurveToBSplineCurve(Curve, Convert_QuasiAngular); | |
1172 | ||
1173 | Standard_Integer ii, jj; | |
1174 | gp_Pnt P; | |
1175 | gp_Vec V, Vtan, DV; | |
1176 | TColgp_Array1OfPnt PolesDef(1,4), Coeffs(1,4); | |
1177 | TColStd_Array1OfReal FK(1, 8); | |
1178 | TColStd_Array1OfReal Ti(1, 4); | |
1179 | TColStd_Array1OfInteger Contact(1, 4); | |
1180 | ||
1181 | Ti(1) = Ti(2) = aIn->FirstParameter(); | |
1182 | Ti(3) = Ti(4) = aIn->LastParameter(); | |
1183 | Contact(1) = Contact(3) = 0; | |
1184 | Contact(2) = Contact(4) = 1; | |
1185 | for (ii=1; ii<=4; ii++) { | |
1186 | FK(ii) = aIn->FirstParameter(); | |
1187 | FK(ii) = aIn->LastParameter(); | |
1188 | } | |
1189 | ||
1190 | // Calculs des contraintes de deformations | |
1191 | aIn->D1(Ti(1), P, V); | |
1192 | PolesDef(1).ChangeCoord() = P1.XYZ()-P.XYZ(); | |
1193 | Vtan = T1; | |
1194 | Vtan.Normalize(); | |
1195 | DV = Vtan * (Vtan * V) - V; | |
1196 | PolesDef(2).ChangeCoord() = (Ti(4)-Ti(1))*DV.XYZ(); | |
1197 | ||
1198 | aIn->D1(Ti(4), P, V); | |
1199 | PolesDef(3).ChangeCoord() = P2.XYZ()-P.XYZ(); | |
1200 | Vtan = T2; | |
1201 | Vtan.Normalize(); | |
1202 | DV = Vtan * (Vtan * V) - V; | |
1203 | PolesDef(4).ChangeCoord() = (Ti(4)-Ti(1))* DV.XYZ(); | |
1204 | ||
1205 | // Interpolation des contraintes | |
1206 | math_Matrix Mat(1, 4, 1, 4); | |
1207 | if (!PLib::HermiteCoefficients(0., 1., 1, 1, Mat)) | |
1208 | Standard_ConstructionError::Raise(); | |
1209 | ||
1210 | for (jj=1; jj<=4; jj++) { | |
1211 | gp_XYZ aux(0.,0.,0.); | |
1212 | for (ii=1; ii<=4; ii++) { | |
1213 | aux.SetLinearForm(Mat(ii,jj), PolesDef(ii).XYZ(), aux); | |
1214 | } | |
1215 | Coeffs(jj).SetXYZ(aux); | |
1216 | } | |
1217 | ||
1218 | PLib::CoefficientsPoles(Coeffs, PLib::NoWeights(), | |
1219 | PolesDef, PLib::NoWeights()); | |
1220 | ||
1221 | // Ajout de la deformation | |
1222 | TColStd_Array1OfReal K(1, 2); | |
1223 | TColStd_Array1OfInteger M(1, 2); | |
1224 | K(1) = Ti(1); | |
1225 | K(2) = Ti(4); | |
1226 | M.Init(4); | |
1227 | ||
1228 | aDef = new (Geom_BSplineCurve) (PolesDef, K, M, 3); | |
1229 | if (aIn->Degree() < 3) aIn->IncreaseDegree(3); | |
1230 | else aDef->IncreaseDegree(aIn->Degree()); | |
1231 | ||
1232 | for (ii=2; ii<aIn->NbKnots(); ii++) { | |
1233 | aDef->InsertKnot(aIn->Knot(ii), aIn->Multiplicity(ii)); | |
1234 | } | |
1235 | ||
1236 | if (aDef->NbPoles() != aIn->NbPoles()) | |
1237 | Standard_ConstructionError::Raise("Inconsistent poles's number"); | |
1238 | ||
1239 | for (ii=1; ii<=aDef->NbPoles(); ii++) { | |
1240 | P = aIn->Pole(ii); | |
1241 | P.ChangeCoord() += aDef->Pole(ii).XYZ(); | |
1242 | aIn->SetPole(ii, P); | |
1243 | } | |
1244 | Curve = aIn; | |
1245 | } | |
1246 | //======================================================================= | |
1247 | //function : ExtendCurveToPoint | |
1248 | //purpose : | |
1249 | //======================================================================= | |
1250 | ||
1251 | void GeomLib::ExtendCurveToPoint(Handle(Geom_BoundedCurve)& Curve, | |
1252 | const gp_Pnt& Point, | |
1253 | const Standard_Integer Continuity, | |
1254 | const Standard_Boolean After) | |
1255 | { | |
1256 | if(Continuity < 1 || Continuity > 3) return; | |
1257 | Standard_Integer size = Continuity + 2; | |
1258 | Standard_Real Ubord, Tol=1.e-6; | |
1259 | math_Matrix MatCoefs(1,size, 1,size); | |
1260 | Standard_Real Lambda, L1; | |
1261 | Standard_Integer ii, jj; | |
1262 | gp_Vec d1, d2, d3; | |
1263 | gp_Pnt p0; | |
1264 | // il faut Convertir l'entree (en preservant si possible le parametrage) | |
1265 | GeomConvert_CompCurveToBSplineCurve Concat(Curve, Convert_QuasiAngular); | |
1266 | ||
1267 | // Les contraintes de constructions | |
1268 | TColgp_Array1OfXYZ Cont(1,size); | |
1269 | if (After) { | |
1270 | Ubord = Curve->LastParameter(); | |
1271 | ||
1272 | } | |
1273 | else { | |
1274 | Ubord = Curve->FirstParameter(); | |
1275 | } | |
1276 | PLib::HermiteCoefficients(0, 1, // Les Bornes | |
1277 | Continuity, 0, // Les Ordres de contraintes | |
1278 | MatCoefs); | |
1279 | ||
1280 | Curve->D3(Ubord, p0, d1, d2, d3); | |
1281 | if (!After) { // Inversion du parametrage | |
1282 | d1 *= -1; | |
1283 | d3 *= -1; | |
1284 | } | |
1285 | ||
1286 | L1 = p0.Distance(Point); | |
1287 | if (L1 > Tol) { | |
1288 | // Lambda est le ratio qu'il faut appliquer a la derive de la courbe | |
1289 | // pour obtenir la derive du prolongement (fixe arbitrairement a la | |
1290 | // longueur du segment bout de la courbe - point cible. | |
1291 | // On essai d'avoir sur le prolongement la vitesse moyenne que l'on | |
1292 | // a sur la courbe. | |
1293 | gp_Vec daux; | |
1294 | gp_Pnt pp; | |
1295 | Standard_Real f= Curve->FirstParameter(), t, dt, norm; | |
1296 | dt = (Curve->LastParameter()-f)/9; | |
1297 | norm = d1.Magnitude(); | |
1298 | for (ii=1, t=f+dt; ii<=8; ii++, t+=dt) { | |
1299 | Curve->D1(t, pp, daux); | |
1300 | norm += daux.Magnitude(); | |
1301 | } | |
1302 | norm /= 9; | |
1303 | dt = d1.Magnitude() / norm; | |
1304 | if ((dt<1.5) && (dt>0.75)) { // Le bord est dans la moyenne on le garde | |
1305 | Lambda = ((Standard_Real)1) / Max (d1.Magnitude() / L1, Tol); | |
1306 | } | |
1307 | else { | |
1308 | Lambda = ((Standard_Real)1) / Max (norm / L1, Tol); | |
1309 | } | |
1310 | } | |
1311 | else { | |
1312 | return; // Pas d'extension | |
1313 | } | |
1314 | ||
1315 | // Optimisation du Lambda | |
1316 | math_Matrix Cons(1, 3, 1, size); | |
1317 | Cons(1,1) = p0.X(); Cons(2,1) = p0.Y(); Cons(3,1) = p0.Z(); | |
1318 | Cons(1,2) = d1.X(); Cons(2,2) = d1.Y(); Cons(3,2) = d1.Z(); | |
1319 | Cons(1,size) = Point.X(); Cons(2,size) = Point.Y(); Cons(3,size) = Point.Z(); | |
1320 | if (Continuity >= 2) { | |
1321 | Cons(1,3) = d2.X(); Cons(2,3) = d2.Y(); Cons(3,3) = d2.Z(); | |
1322 | } | |
1323 | if (Continuity >= 3) { | |
1324 | Cons(1,4) = d3.X(); Cons(2,4) = d3.Y(); Cons(3,4) = d3.Z(); | |
1325 | } | |
1326 | ComputeLambda(Cons, MatCoefs, L1, Lambda); | |
1327 | ||
1328 | // Construction dans la Base Polynomiale | |
1329 | Cont(1) = p0.XYZ(); | |
1330 | Cont(2) = d1.XYZ() * Lambda; | |
1331 | if(Continuity >= 2) Cont(3) = d2.XYZ() * Pow(Lambda,2); | |
1332 | if(Continuity >= 3) Cont(4) = d3.XYZ() * Pow(Lambda,3); | |
1333 | Cont(size) = Point.XYZ(); | |
1334 | ||
1335 | ||
1336 | TColgp_Array1OfPnt ExtrapPoles(1, size); | |
1337 | TColgp_Array1OfPnt ExtraCoeffs(1, size); | |
1338 | ||
1339 | gp_Pnt PNull(0.,0.,0.); | |
1340 | ExtraCoeffs.Init(PNull); | |
1341 | for (ii=1; ii<=size; ii++) { | |
1342 | for (jj=1; jj<=size; jj++) { | |
1343 | ExtraCoeffs(jj).ChangeCoord() += MatCoefs(ii,jj)*Cont(ii); | |
1344 | } | |
1345 | } | |
1346 | ||
1347 | // Convertion Dans la Base de Bernstein | |
1348 | PLib::CoefficientsPoles(ExtraCoeffs, PLib::NoWeights(), | |
1349 | ExtrapPoles, PLib::NoWeights()); | |
1350 | ||
1351 | Handle(Geom_BezierCurve) Bezier = new (Geom_BezierCurve) (ExtrapPoles); | |
1352 | ||
1353 | Standard_Real dist = ExtrapPoles(1).Distance(p0); | |
1354 | Standard_Boolean Ok; | |
1355 | Tol += dist; | |
1356 | ||
1357 | // Concatenation | |
1358 | Ok = Concat.Add(Bezier, Tol, After); | |
1359 | if (!Ok) Standard_ConstructionError::Raise("ExtendCurveToPoint"); | |
1360 | ||
1361 | Curve = Concat.BSplineCurve(); | |
1362 | } | |
1363 | ||
1364 | ||
1365 | //======================================================================= | |
1366 | //function : ExtendKPart | |
1367 | //purpose : Extension par longueur des surfaces cannonique | |
1368 | //======================================================================= | |
1369 | static Standard_Boolean | |
1370 | ExtendKPart(Handle(Geom_RectangularTrimmedSurface)& Surface, | |
1371 | const Standard_Real Length, | |
1372 | const Standard_Boolean InU, | |
1373 | const Standard_Boolean After) | |
1374 | { | |
1375 | ||
1376 | if (Surface.IsNull()) return Standard_False; | |
1377 | ||
1378 | Standard_Boolean Ok=Standard_True; | |
1379 | Standard_Real Uf, Ul, Vf, Vl; | |
1380 | Handle(Geom_Surface) Support = Surface->BasisSurface(); | |
1381 | GeomAbs_SurfaceType Type; | |
1382 | ||
1383 | Surface->Bounds(Uf, Ul, Vf, Vl); | |
1384 | GeomAdaptor_Surface AS(Surface); | |
1385 | Type = AS.GetType(); | |
1386 | ||
1387 | if (InU) { | |
1388 | switch(Type) { | |
1389 | case GeomAbs_Plane : | |
1390 | { | |
1391 | if (After) Ul+=Length; | |
1392 | else Uf-=Length; | |
1393 | Surface = new (Geom_RectangularTrimmedSurface) | |
1394 | (Support, Uf, Ul, Vf, Vl); | |
1395 | break; | |
1396 | } | |
1397 | ||
1398 | default: | |
1399 | Ok = Standard_False; | |
1400 | } | |
1401 | } | |
1402 | else { | |
1403 | switch(Type) { | |
1404 | case GeomAbs_Plane : | |
1405 | case GeomAbs_Cylinder : | |
1406 | case GeomAbs_SurfaceOfExtrusion : | |
1407 | { | |
1408 | if (After) Vl+=Length; | |
1409 | else Vf-=Length; | |
1410 | Surface = new (Geom_RectangularTrimmedSurface) | |
1411 | (Support, Uf, Ul, Vf, Vl); | |
1412 | break; | |
1413 | } | |
1414 | default: | |
1415 | Ok = Standard_False; | |
1416 | } | |
1417 | } | |
1418 | ||
1419 | return Ok; | |
1420 | } | |
1421 | ||
1422 | //======================================================================= | |
1423 | //function : ExtendSurfByLength | |
1424 | //purpose : | |
1425 | //======================================================================= | |
1426 | void GeomLib::ExtendSurfByLength(Handle(Geom_BoundedSurface)& Surface, | |
1427 | const Standard_Real Length, | |
1428 | const Standard_Integer Continuity, | |
1429 | const Standard_Boolean InU, | |
1430 | const Standard_Boolean After) | |
1431 | { | |
1432 | if(Continuity < 0 || Continuity > 3) return; | |
1433 | Standard_Integer Cont = Continuity; | |
1434 | ||
1435 | // Kpart ? | |
1436 | Handle(Geom_RectangularTrimmedSurface) TS = | |
1437 | Handle(Geom_RectangularTrimmedSurface)::DownCast (Surface); | |
1438 | if (ExtendKPart(TS,Length, InU, After) ) { | |
1439 | Surface = TS; | |
1440 | return; | |
1441 | } | |
1442 | ||
1443 | // format BSplineSurface avec un degre suffisant pour la continuite voulue | |
1444 | Handle(Geom_BSplineSurface) BS = | |
1445 | Handle(Geom_BSplineSurface)::DownCast (Surface); | |
1446 | if (BS.IsNull()) { | |
1447 | //BS = GeomConvert::SurfaceToBSplineSurface(Surface); | |
1448 | Standard_Real Tol = Precision::Confusion(); //1.e-4; | |
1449 | GeomAbs_Shape UCont = GeomAbs_C1, VCont = GeomAbs_C1; | |
1450 | Standard_Integer degU = 14, degV = 14; | |
1451 | Standard_Integer nmax = 16; | |
1452 | Standard_Integer thePrec = 1; | |
1453 | GeomConvert_ApproxSurface theApprox(Surface,Tol,UCont,VCont,degU,degV,nmax,thePrec); | |
1454 | if (theApprox.HasResult()) | |
1455 | BS = theApprox.Surface(); | |
1456 | else | |
1457 | BS = GeomConvert::SurfaceToBSplineSurface(Surface); | |
1458 | } | |
1459 | if (InU&&(BS->UDegree()<Continuity+1)) | |
1460 | BS->IncreaseDegree(Continuity+1,BS->VDegree()); | |
1461 | if (!InU&&(BS->VDegree()<Continuity+1)) | |
1462 | BS->IncreaseDegree(BS->UDegree(),Continuity+1); | |
1463 | ||
1464 | // si BS etait periodique dans le sens de l'extension, elle ne le sera plus | |
1465 | if ( (InU&&(BS->IsUPeriodic())) || (!InU&&(BS->IsVPeriodic())) ) { | |
1466 | Standard_Real U0,U1,V0,V1; | |
1467 | BS->Bounds(U0,U1,V0,V1); | |
1468 | BS->Segment(U0,U1,V0,V1); | |
1469 | } | |
1470 | ||
1471 | ||
47c580a7 A |
1472 | // IFV Fix OCC bug 0022694 - wrong result extrapolating rational surfaces |
1473 | // Standard_Boolean rational = ( InU && BS->IsURational() ) | |
1474 | // || ( !InU && BS->IsVRational() ) ; | |
1475 | Standard_Boolean rational = (BS->IsURational() || BS->IsVRational()); | |
7fd59977 | 1476 | Standard_Boolean NullWeight; |
1477 | Standard_Real EpsW = 10*Precision::PConfusion(); | |
1478 | Standard_Integer gap = 3; | |
1479 | if ( rational ) gap++; | |
1480 | ||
1481 | ||
1482 | ||
1d47d8d0 | 1483 | Standard_Integer Cdeg = 0, Cdim = 0, NbP = 0, Ksize = 0, Psize = 1; |
7fd59977 | 1484 | Standard_Integer ii, jj, ipole, Kount; |
1485 | Standard_Real Tbord, lambmin=Length; | |
1d47d8d0 | 1486 | Standard_Real * Padr = NULL; |
7fd59977 | 1487 | Standard_Boolean Ok; |
1488 | Handle(TColStd_HArray1OfReal) FKnots, Point, lambda, Tgte, Poles; | |
1489 | ||
1490 | ||
1491 | ||
1492 | ||
1493 | for (Kount=0, Ok=Standard_False; Kount<=2 && !Ok; Kount++) { | |
1494 | // transformation de la surface en une BSpline non rationnelle a une variable | |
1495 | // de degre UDegree ou VDegree et de dimension 3 ou 4 x NbVpoles ou NbUpoles | |
1496 | // le nombre de poles egal a NbUpoles ou NbVpoles | |
1497 | // ATTENTION : dans le cas rationnel, un point de coordonnees (x,y,z) | |
1498 | // et de poids w devient un point de coordonnees (wx, wy, wz, w ) | |
1499 | ||
1500 | ||
1501 | if (InU) { | |
1502 | Cdeg = BS->UDegree(); | |
1503 | NbP = BS->NbUPoles(); | |
1504 | Cdim = BS->NbVPoles() * gap; | |
1505 | } | |
1506 | else { | |
1507 | Cdeg = BS->VDegree(); | |
1508 | NbP = BS->NbVPoles(); | |
1509 | Cdim = BS->NbUPoles() * gap; | |
1510 | } | |
1511 | ||
1512 | // les noeuds plats | |
1513 | Ksize = NbP + Cdeg + 1; | |
1514 | FKnots = new (TColStd_HArray1OfReal) (1,Ksize); | |
1515 | if (InU) | |
1516 | BS->UKnotSequence(FKnots->ChangeArray1()); | |
1517 | else | |
1518 | BS->VKnotSequence(FKnots->ChangeArray1()); | |
1519 | ||
1520 | // le parametre du noeud de raccord | |
1521 | if (After) | |
1522 | Tbord = FKnots->Value(FKnots->Upper()-Cdeg); | |
1523 | else | |
1524 | Tbord = FKnots->Value(FKnots->Lower()+Cdeg); | |
1525 | ||
1526 | // les poles | |
1527 | Psize = Cdim * NbP; | |
1528 | Poles = new (TColStd_HArray1OfReal) (1,Psize); | |
1529 | ||
1530 | if (InU) { | |
1531 | for (ii=1,ipole=1; ii<=NbP; ii++) { | |
1532 | for (jj=1;jj<=BS->NbVPoles();jj++) { | |
1533 | Poles->SetValue(ipole, BS->Pole(ii,jj).X()); | |
1534 | Poles->SetValue(ipole+1, BS->Pole(ii,jj).Y()); | |
1535 | Poles->SetValue(ipole+2, BS->Pole(ii,jj).Z()); | |
1536 | if (rational) Poles->SetValue(ipole+3, BS->Weight(ii,jj)); | |
1537 | ipole+=gap; | |
1538 | } | |
1539 | } | |
1540 | } | |
1541 | else { | |
1542 | for (jj=1,ipole=1; jj<=NbP; jj++) { | |
1543 | for (ii=1;ii<=BS->NbUPoles();ii++) { | |
1544 | Poles->SetValue(ipole, BS->Pole(ii,jj).X()); | |
1545 | Poles->SetValue(ipole+1, BS->Pole(ii,jj).Y()); | |
1546 | Poles->SetValue(ipole+2, BS->Pole(ii,jj).Z()); | |
1547 | if (rational) Poles->SetValue(ipole+3, BS->Weight(ii,jj)); | |
1548 | ipole+=gap; | |
1549 | } | |
1550 | } | |
1551 | } | |
1552 | Padr = (Standard_Real *) &Poles->ChangeValue(1); | |
1553 | ||
1554 | // calcul du point de raccord et de la tangente | |
1555 | Point = new (TColStd_HArray1OfReal)(1,Cdim); | |
1556 | Tgte = new (TColStd_HArray1OfReal)(1,Cdim); | |
1557 | lambda = new (TColStd_HArray1OfReal)(1,Cdim); | |
1558 | ||
1559 | Standard_Boolean periodic_flag = Standard_False ; | |
1560 | Standard_Integer extrap_mode[2], derivative_request = Max(Continuity,1); | |
1561 | extrap_mode[0] = extrap_mode[1] = Cdeg; | |
1562 | TColStd_Array1OfReal Result(1, Cdim * (derivative_request+1)) ; | |
1563 | ||
1564 | TColStd_Array1OfReal& tgte = Tgte->ChangeArray1(); | |
1565 | TColStd_Array1OfReal& point = Point->ChangeArray1(); | |
1566 | TColStd_Array1OfReal& lamb = lambda->ChangeArray1(); | |
1567 | ||
1568 | Standard_Real * Radr = (Standard_Real *) &Result(1) ; | |
1569 | ||
1570 | BSplCLib::Eval(Tbord,periodic_flag,derivative_request,extrap_mode[0], | |
1571 | Cdeg,FKnots->Array1(),Cdim,*Padr,*Radr); | |
1572 | Ok = Standard_True; | |
1573 | for (ii=1;ii<=Cdim;ii++) { | |
1574 | point(ii) = Result(ii); | |
1575 | tgte(ii) = Result(ii+Cdim); | |
1576 | } | |
1577 | ||
1578 | // calcul de la contrainte a atteindre | |
1579 | ||
1580 | gp_Vec CurT, OldT; | |
1581 | ||
1582 | Standard_Real NTgte, val, Tgtol = 1.e-12, OldN = 0.0; | |
1583 | if (rational) { | |
1584 | for (ii=gap;ii<=Cdim;ii+=gap) { | |
1585 | tgte(ii) = 0.; | |
1586 | } | |
1587 | for (ii=gap;ii<=Cdim;ii+=gap) { | |
1588 | CurT.SetCoord(tgte(ii-3),tgte(ii-2), tgte(ii-1)); | |
1589 | NTgte=CurT.Magnitude(); | |
1590 | if (NTgte>Tgtol) { | |
1591 | val = Length/NTgte; | |
1592 | // Attentions aux Cas ou le segment donne par les poles | |
1593 | // est oppose au sens de la derive | |
1594 | // Exemple: Certaine portions de tore. | |
1595 | if ( (OldN > Tgtol) && (CurT.Angle(OldT) > 2)) { | |
1596 | Ok = Standard_False; | |
1597 | } | |
1598 | ||
1599 | lamb(ii-1) = lamb(ii-2) = lamb(ii-3) = val; | |
1600 | lamb(ii) = 0.; | |
1601 | lambmin = Min(lambmin, val); | |
1602 | } | |
1603 | else { | |
1604 | lamb(ii-1) = lamb(ii-2) = lamb(ii-3) = 0.; | |
1605 | lamb(ii) = 0.; | |
1606 | } | |
1607 | OldT = CurT; | |
1608 | OldN = NTgte; | |
1609 | } | |
1610 | } | |
1611 | else { | |
1612 | for (ii=gap;ii<=Cdim;ii+=gap) { | |
1613 | CurT.SetCoord(tgte(ii-2),tgte(ii-1), tgte(ii)); | |
1614 | NTgte=CurT.Magnitude(); | |
1615 | if (NTgte>Tgtol) { | |
1616 | val = Length/NTgte; | |
1617 | // Attentions aux Cas ou le segment donne par les poles | |
1618 | // est oppose au sens de la derive | |
1619 | // Exemple: Certaine portion de tore. | |
1620 | if ( (OldN > Tgtol) && (CurT.Angle(OldT) > 2)) { | |
1621 | Ok = Standard_False; | |
1622 | } | |
1623 | lamb(ii) = lamb(ii-1) = lamb(ii-2) = val; | |
1624 | lambmin = Min(lambmin, val); | |
1625 | } | |
1626 | else { | |
1627 | lamb(ii) =lamb(ii-1) = lamb(ii-2) = 0.; | |
1628 | } | |
1629 | OldT = CurT; | |
1630 | OldN = NTgte; | |
1631 | } | |
1632 | } | |
1633 | if (!Ok && Kount<2) { | |
1634 | // On augmente le degre de l'iso bord afin de rapprocher les poles de la surface | |
1635 | // Et on ressaye | |
1636 | if (InU) BS->IncreaseDegree(BS->UDegree(), BS->VDegree()+2); | |
1637 | else BS->IncreaseDegree(BS->UDegree()+2, BS->VDegree()); | |
1638 | } | |
1639 | } | |
1640 | ||
1641 | ||
1642 | TColStd_Array1OfReal ConstraintPoint(1,Cdim); | |
1643 | if (After) { | |
1644 | for (ii=1;ii<=Cdim;ii++) { | |
1645 | ConstraintPoint(ii) = Point->Value(ii) + lambda->Value(ii)*Tgte->Value(ii); | |
1646 | } | |
1647 | } | |
1648 | else { | |
1649 | for (ii=1;ii<=Cdim;ii++) { | |
1650 | ConstraintPoint(ii) = Point->Value(ii) - lambda->Value(ii)*Tgte->Value(ii); | |
1651 | } | |
1652 | } | |
1653 | ||
1654 | // cas particulier du rationnel | |
1655 | if (rational) { | |
1656 | for (ipole=1;ipole<=Psize;ipole+=gap) { | |
1657 | Poles->ChangeValue(ipole) *= Poles->Value(ipole+3); | |
1658 | Poles->ChangeValue(ipole+1) *= Poles->Value(ipole+3); | |
1659 | Poles->ChangeValue(ipole+2) *= Poles->Value(ipole+3); | |
1660 | } | |
1661 | for (ii=1;ii<=Cdim;ii+=gap) { | |
1662 | ConstraintPoint(ii) *= ConstraintPoint(ii+3); | |
1663 | ConstraintPoint(ii+1) *= ConstraintPoint(ii+3); | |
1664 | ConstraintPoint(ii+2) *= ConstraintPoint(ii+3); | |
1665 | } | |
1666 | } | |
1667 | ||
1668 | // tableaux necessaires pour l'extension | |
1d47d8d0 | 1669 | Standard_Integer Ksize2 = Ksize+Cdeg, NbPoles, NbKnots = 0; |
7fd59977 | 1670 | TColStd_Array1OfReal FK(1, Ksize2) ; |
1671 | Standard_Real * FKRadr = &FK(1); | |
1672 | ||
1673 | Standard_Integer Psize2 = Psize+Cdeg*Cdim; | |
1674 | TColStd_Array1OfReal PRes(1, Psize2) ; | |
1675 | Standard_Real * PRadr = &PRes(1); | |
1676 | Standard_Real ww; | |
1677 | Standard_Boolean ExtOk = Standard_False; | |
1678 | Handle(TColgp_HArray2OfPnt) NewPoles; | |
1679 | Handle(TColStd_HArray2OfReal) NewWeights; | |
1680 | ||
1681 | ||
1682 | for (Kount=1; Kount<=5 && !ExtOk; Kount++) { | |
1683 | // extension | |
1684 | BSplCLib::TangExtendToConstraint(FKnots->Array1(), | |
1685 | lambmin,NbP,*Padr, | |
1686 | Cdim,Cdeg, | |
1687 | ConstraintPoint, Cont, After, | |
1688 | NbPoles, NbKnots,*FKRadr, *PRadr); | |
1689 | ||
1690 | // recopie des poles du resultat sous forme de points 3D et de poids | |
1691 | Standard_Integer NU, NV, indice ; | |
1692 | if (InU) { | |
1693 | NU = NbPoles; | |
1694 | NV = BS->NbVPoles(); | |
1695 | } | |
1696 | else { | |
1697 | NU = BS->NbUPoles(); | |
1698 | NV = NbPoles; | |
1699 | } | |
1700 | ||
1701 | NewPoles = new (TColgp_HArray2OfPnt)(1,NU,1,NV); | |
1702 | TColgp_Array2OfPnt& NewP = NewPoles->ChangeArray2(); | |
1703 | NewWeights = new (TColStd_HArray2OfReal) (1,NU,1,NV); | |
1704 | TColStd_Array2OfReal& NewW = NewWeights->ChangeArray2(); | |
1705 | ||
1706 | if (!rational) NewW.Init(1.); | |
1707 | NullWeight= Standard_False; | |
1708 | ||
1709 | if (InU) { | |
1710 | for (ii=1; ii<=NU && !NullWeight; ii++) { | |
1711 | for (jj=1; jj<=NV && !NullWeight; jj++) { | |
1712 | indice = 1+(ii-1)*Cdim+(jj-1)*gap; | |
1713 | NewP(ii,jj).SetCoord(1,PRes(indice)); | |
1714 | NewP(ii,jj).SetCoord(2,PRes(indice+1)); | |
1715 | NewP(ii,jj).SetCoord(3,PRes(indice+2)); | |
1716 | if (rational) { | |
1717 | ww = PRes(indice+3); | |
1718 | if (ww < EpsW) { | |
1719 | NullWeight = Standard_True; | |
1720 | } | |
1721 | else { | |
1722 | NewW(ii,jj) = ww; | |
1723 | NewP(ii,jj).ChangeCoord() /= ww; | |
1724 | } | |
1725 | } | |
1726 | } | |
1727 | } | |
1728 | } | |
1729 | else { | |
1730 | for (jj=1; jj<=NV && !NullWeight; jj++) { | |
1731 | for (ii=1; ii<=NU && !NullWeight; ii++) { | |
1732 | indice = 1+(ii-1)*gap+(jj-1)*Cdim; | |
1733 | NewP(ii,jj).SetCoord(1,PRes(indice)); | |
1734 | NewP(ii,jj).SetCoord(2,PRes(indice+1)); | |
1735 | NewP(ii,jj).SetCoord(3,PRes(indice+2)); | |
1736 | if (rational) { | |
1737 | ww = PRes(indice+3); | |
1738 | if (ww < EpsW) { | |
1739 | NullWeight = Standard_True; | |
1740 | } | |
1741 | else { | |
1742 | NewW(ii,jj) = ww; | |
1743 | NewP(ii,jj).ChangeCoord() /= ww; | |
1744 | } | |
1745 | } | |
1746 | } | |
1747 | } | |
1748 | } | |
1749 | ||
1750 | if (NullWeight) { | |
63c629aa | 1751 | #if GEOMLIB_DEB |
7fd59977 | 1752 | cout << "Echec de l'Extension rationnelle" << endl; |
1753 | #endif | |
1754 | lambmin /= 3.; | |
1755 | NullWeight = Standard_False; | |
1756 | } | |
1757 | else { | |
1758 | ExtOk = Standard_True; | |
1759 | } | |
1760 | } | |
1761 | ||
1762 | ||
1763 | // recopie des noeuds plats sous forme de noeuds avec leurs multiplicites | |
1764 | // calcul des degres du resultat | |
1765 | Standard_Integer Usize = BS->NbUKnots(), Vsize = BS->NbVKnots(), UDeg, VDeg; | |
1766 | if (InU) | |
1767 | Usize++; | |
1768 | else | |
1769 | Vsize++; | |
1770 | TColStd_Array1OfReal UKnots(1,Usize); | |
1771 | TColStd_Array1OfReal VKnots(1,Vsize); | |
1772 | TColStd_Array1OfInteger UMults(1,Usize); | |
1773 | TColStd_Array1OfInteger VMults(1,Vsize); | |
1774 | TColStd_Array1OfReal FKRes(1, NbKnots); | |
1775 | ||
1776 | for (ii=1; ii<=NbKnots; ii++) | |
1777 | FKRes(ii) = FK(ii); | |
1778 | ||
1779 | if (InU) { | |
1780 | BSplCLib::Knots(FKRes, UKnots, UMults); | |
1781 | UDeg = Cdeg; | |
1782 | UMults(Usize) = UDeg+1; // Petite verrue utile quand la continuite | |
1783 | // n'est pas ok. | |
1784 | BS->VKnots(VKnots); | |
1785 | BS->VMultiplicities(VMults); | |
1786 | VDeg = BS->VDegree(); | |
1787 | } | |
1788 | else { | |
1789 | BSplCLib::Knots(FKRes, VKnots, VMults); | |
1790 | VDeg = Cdeg; | |
1791 | VMults(Vsize) = VDeg+1; | |
1792 | BS->UKnots(UKnots); | |
1793 | BS->UMultiplicities(UMults); | |
1794 | UDeg = BS->UDegree(); | |
1795 | } | |
1796 | ||
1797 | // construction de la surface BSpline resultat | |
1798 | Handle(Geom_BSplineSurface) Res = | |
1799 | new (Geom_BSplineSurface) (NewPoles->Array2(), | |
1800 | NewWeights->Array2(), | |
1801 | UKnots,VKnots, | |
1802 | UMults,VMults, | |
1803 | UDeg,VDeg, | |
1804 | BS->IsUPeriodic(), | |
1805 | BS->IsVPeriodic()); | |
1806 | Surface = Res; | |
1807 | } | |
1808 | ||
1809 | //======================================================================= | |
1810 | //function : Inertia | |
1811 | //purpose : | |
1812 | //======================================================================= | |
1813 | void GeomLib::Inertia(const TColgp_Array1OfPnt& Points, | |
1814 | gp_Pnt& Bary, | |
1815 | gp_Dir& XDir, | |
1816 | gp_Dir& YDir, | |
1817 | Standard_Real& Xgap, | |
1818 | Standard_Real& Ygap, | |
1819 | Standard_Real& Zgap) | |
1820 | { | |
1821 | gp_XYZ GB(0., 0., 0.), Diff; | |
1822 | // gp_Vec A,B,C,D; | |
1823 | ||
1824 | Standard_Integer i,nb=Points.Length(); | |
1825 | GB.SetCoord(0.,0.,0.); | |
1826 | for (i=1; i<=nb; i++) | |
1827 | GB += Points(i).XYZ(); | |
1828 | ||
1829 | GB /= nb; | |
1830 | ||
1831 | math_Matrix M (1, 3, 1, 3); | |
1832 | M.Init(0.); | |
1833 | for (i=1; i<=nb; i++) { | |
1834 | Diff.SetLinearForm(-1, Points(i).XYZ(), GB); | |
1835 | M(1,1) += Diff.X() * Diff.X(); | |
1836 | M(2,2) += Diff.Y() * Diff.Y(); | |
1837 | M(3,3) += Diff.Z() * Diff.Z(); | |
1838 | M(1,2) += Diff.X() * Diff.Y(); | |
1839 | M(1,3) += Diff.X() * Diff.Z(); | |
1840 | M(2,3) += Diff.Y() * Diff.Z(); | |
1841 | } | |
1842 | ||
1843 | M(2,1)=M(1,2) ; | |
1844 | M(3,1)=M(1,3) ; | |
1845 | M(3,2)=M(2,3) ; | |
1846 | ||
1847 | M /= nb; | |
1848 | ||
1849 | math_Jacobi J(M); | |
1850 | if (!J.IsDone()) { | |
63c629aa | 1851 | #if GEOMLIB_DEB |
7fd59977 | 1852 | cout << "Erreur dans Jacobbi" << endl; |
1853 | M.Dump(cout); | |
1854 | #endif | |
1855 | } | |
1856 | ||
1857 | Standard_Real n1,n2,n3; | |
1858 | ||
1859 | n1=J.Value(1); | |
1860 | n2=J.Value(2); | |
1861 | n3=J.Value(3); | |
1862 | ||
1863 | Standard_Real r1 = Min(Min(n1,n2),n3), r2; | |
1864 | Standard_Integer m1, m2, m3; | |
1865 | if (r1==n1) { | |
1866 | m1 = 1; | |
1867 | r2 = Min(n2,n3); | |
1868 | if (r2==n2) { | |
1869 | m2 = 2; | |
1870 | m3 = 3; | |
1871 | } | |
1872 | else { | |
1873 | m2 = 3; | |
1874 | m3 = 2; | |
1875 | } | |
1876 | } | |
1877 | else { | |
1878 | if (r1==n2) { | |
1879 | m1 = 2 ; | |
1880 | r2 = Min(n1,n3); | |
1881 | if (r2==n1) { | |
1882 | m2 = 1; | |
1883 | m3 = 3; | |
1884 | } | |
1885 | else { | |
1886 | m2 = 3; | |
1887 | m3 = 1; | |
1888 | } | |
1889 | } | |
1890 | else { | |
1891 | m1 = 3 ; | |
1892 | r2 = Min(n1,n2); | |
1893 | if (r2==n1) { | |
1894 | m2 = 1; | |
1895 | m3 = 2; | |
1896 | } | |
1897 | else { | |
1898 | m2 = 2; | |
1899 | m3 = 1; | |
1900 | } | |
1901 | } | |
1902 | } | |
1903 | ||
1904 | math_Vector V2(1,3),V3(1,3); | |
1905 | J.Vector(m2,V2); | |
1906 | J.Vector(m3,V3); | |
1907 | ||
1908 | Bary.SetXYZ(GB); | |
1909 | XDir.SetCoord(V3(1),V3(2),V3(3)); | |
1910 | YDir.SetCoord(V2(1),V2(2),V2(3)); | |
1911 | ||
1912 | Zgap = sqrt(Abs(J.Value(m1))); | |
1913 | Ygap = sqrt(Abs(J.Value(m2))); | |
1914 | Xgap = sqrt(Abs(J.Value(m3))); | |
1915 | } | |
1916 | //======================================================================= | |
1917 | //function : AxeOfInertia | |
1918 | //purpose : | |
1919 | //======================================================================= | |
1920 | void GeomLib::AxeOfInertia(const TColgp_Array1OfPnt& Points, | |
1921 | gp_Ax2& Axe, | |
1922 | Standard_Boolean& IsSingular, | |
1923 | const Standard_Real Tol) | |
1924 | { | |
1925 | gp_Pnt Bary; | |
1926 | gp_Dir OX,OY,OZ; | |
1927 | Standard_Real gx, gy, gz; | |
1928 | ||
1929 | GeomLib::Inertia(Points, Bary, OX, OY, gx, gy, gz); | |
1930 | ||
1931 | if (gy*Points.Length()<=Tol) { | |
1932 | gp_Ax2 axe (Bary, OX); | |
1933 | OY = axe.XDirection(); | |
1934 | IsSingular = Standard_True; | |
1935 | } | |
1936 | else { | |
1937 | IsSingular = Standard_False; | |
1938 | } | |
1939 | ||
1940 | OZ = OX^OY; | |
1941 | gp_Ax2 TheAxe(Bary, OZ, OX); | |
1942 | Axe = TheAxe; | |
1943 | } | |
1944 | ||
1945 | //======================================================================= | |
1946 | //function : CanBeTreated | |
1947 | //purpose : indicates if the surface can be treated(if the conditions are | |
1948 | // filled) and need to be treated(if the surface hasn't been yet | |
1949 | // treated or if the surface is rationnal and non periodic) | |
1950 | //======================================================================= | |
1951 | ||
1952 | static Standard_Boolean CanBeTreated(Handle(Geom_BSplineSurface)& BSurf) | |
1953 | ||
1954 | {Standard_Integer i; | |
1955 | Standard_Real lambda; //proportionnality coefficient | |
1956 | Standard_Boolean AlreadyTreated=Standard_True; | |
1957 | ||
1958 | if (!BSurf->IsURational()||(BSurf->IsUPeriodic())) | |
1959 | return Standard_False; | |
1960 | else { | |
1961 | lambda=(BSurf->Weight(1,1)/BSurf->Weight(BSurf->NbUPoles(),1)); | |
1962 | for (i=1;i<=BSurf->NbVPoles();i++) //test of the proportionnality of the denominator on the boundaries | |
1963 | if ((BSurf->Weight(1,i)/(lambda*BSurf->Weight(BSurf->NbUPoles(),i))<(1-Precision::Confusion()))|| | |
1964 | (BSurf->Weight(1,i)/(lambda*BSurf->Weight(BSurf->NbUPoles(),i))>(1+Precision::Confusion()))) | |
1965 | return Standard_False; | |
1966 | i=1; | |
1967 | while ((AlreadyTreated) && (i<=BSurf->NbVPoles())){ //tests if the surface has already been treated | |
1968 | if (((BSurf->Weight(1,i)/(BSurf->Weight(2,i)))<(1-Precision::Confusion()))|| | |
1969 | ((BSurf->Weight(1,i)/(BSurf->Weight(2,i)))>(1+Precision::Confusion()))|| | |
1970 | ((BSurf->Weight(BSurf->NbUPoles()-1,i)/(BSurf->Weight(BSurf->NbUPoles(),i)))<(1-Precision::Confusion()))|| | |
1971 | ((BSurf->Weight(BSurf->NbUPoles()-1,i)/(BSurf->Weight(BSurf->NbUPoles(),i)))>(1+Precision::Confusion()))) | |
1972 | AlreadyTreated=Standard_False; | |
1973 | i++; | |
1974 | } | |
1975 | if (AlreadyTreated) | |
1976 | return Standard_False; | |
1977 | } | |
1978 | return Standard_True; | |
1979 | } | |
1980 | ||
1981 | //======================================================================= | |
41194117 K |
1982 | //class : law_evaluator |
1983 | //purpose : usefull to estimate the value of a function of 2 variables | |
7fd59977 | 1984 | //======================================================================= |
1985 | ||
41194117 K |
1986 | class law_evaluator : public BSplSLib_EvaluatorFunction |
1987 | { | |
7fd59977 | 1988 | |
41194117 | 1989 | public: |
7fd59977 | 1990 | |
41194117 K |
1991 | law_evaluator (const GeomLib_DenominatorMultiplierPtr theDenominatorPtr) |
1992 | : myDenominator (theDenominatorPtr) {} | |
1993 | ||
1994 | virtual void Evaluate (const Standard_Integer theDerivativeRequest, | |
1995 | const Standard_Real theUParameter, | |
1996 | const Standard_Real theVParameter, | |
1997 | Standard_Real& theResult, | |
1998 | Standard_Integer& theErrorCode) const | |
1999 | { | |
2000 | if ((myDenominator != NULL) && (theDerivativeRequest == 0)) | |
2001 | { | |
2002 | theResult = myDenominator->Value (theUParameter, theVParameter); | |
2003 | theErrorCode = 0; | |
2004 | } | |
2005 | else | |
2006 | { | |
2007 | theErrorCode = 1; | |
2008 | } | |
7fd59977 | 2009 | } |
41194117 K |
2010 | |
2011 | private: | |
2012 | ||
2013 | GeomLib_DenominatorMultiplierPtr myDenominator; | |
2014 | ||
2015 | }; | |
2016 | ||
7fd59977 | 2017 | //======================================================================= |
2018 | //function : CheckIfKnotExists | |
2019 | //purpose : true if the knot already exists in the knot sequence | |
2020 | //======================================================================= | |
2021 | ||
2022 | static Standard_Boolean CheckIfKnotExists(const TColStd_Array1OfReal& surface_knots, | |
2023 | const Standard_Real knot) | |
2024 | ||
2025 | {Standard_Integer i; | |
2026 | for (i=1;i<=surface_knots.Length();i++) | |
2027 | if ((surface_knots(i)-Precision::Confusion()<=knot)&&(surface_knots(i)+Precision::Confusion()>=knot)) | |
2028 | return Standard_True; | |
2029 | return Standard_False; | |
2030 | } | |
2031 | ||
2032 | //======================================================================= | |
2033 | //function : AddAKnot | |
2034 | //purpose : add a knot and its multiplicity to the knot sequence. This knot | |
2035 | // will be C2 and the degree is increased of deltasurface_degree | |
2036 | //======================================================================= | |
2037 | ||
2038 | static void AddAKnot(const TColStd_Array1OfReal& knots, | |
2039 | const TColStd_Array1OfInteger& mults, | |
2040 | const Standard_Real knotinserted, | |
2041 | const Standard_Integer deltasurface_degree, | |
2042 | const Standard_Integer finalsurfacedegree, | |
2043 | Handle(TColStd_HArray1OfReal) & newknots, | |
2044 | Handle(TColStd_HArray1OfInteger) & newmults) | |
2045 | ||
2046 | {Standard_Integer i; | |
2047 | ||
2048 | newknots=new TColStd_HArray1OfReal(1,knots.Length()+1); | |
2049 | newmults=new TColStd_HArray1OfInteger(1,knots.Length()+1); | |
2050 | i=1; | |
2051 | while (knots(i)<knotinserted){ | |
2052 | newknots->SetValue(i,knots(i)); | |
2053 | newmults->SetValue(i,mults(i)+deltasurface_degree); | |
2054 | i++; | |
2055 | } | |
2056 | newknots->SetValue(i,knotinserted); //insertion of the new knot | |
2057 | newmults->SetValue(i,finalsurfacedegree-2); | |
2058 | i++; | |
2059 | while (i<=newknots->Length()){ | |
2060 | newknots->SetValue(i,knots(i-1)); | |
2061 | newmults->SetValue(i,mults(i-1)+deltasurface_degree); | |
2062 | i++; | |
2063 | } | |
2064 | } | |
2065 | ||
2066 | //======================================================================= | |
2067 | //function : Sort | |
2068 | //purpose : give the new flat knots(u or v) of the surface | |
2069 | //======================================================================= | |
2070 | ||
2071 | static void BuildFlatKnot(const TColStd_Array1OfReal& surface_knots, | |
2072 | const TColStd_Array1OfInteger& surface_mults, | |
2073 | const Standard_Integer deltasurface_degree, | |
2074 | const Standard_Integer finalsurface_degree, | |
2075 | const Standard_Real knotmin, | |
2076 | const Standard_Real knotmax, | |
2077 | Handle(TColStd_HArray1OfReal)& ResultKnots, | |
2078 | Handle(TColStd_HArray1OfInteger)& ResultMults) | |
2079 | ||
2080 | { | |
2081 | Standard_Integer i; | |
2082 | ||
2083 | if (CheckIfKnotExists(surface_knots,knotmin) && | |
2084 | CheckIfKnotExists(surface_knots,knotmax)){ | |
2085 | ResultKnots=new TColStd_HArray1OfReal(1,surface_knots.Length()); | |
2086 | ResultMults=new TColStd_HArray1OfInteger(1,surface_knots.Length()); | |
2087 | for (i=1;i<=surface_knots.Length();i++){ | |
2088 | ResultKnots->SetValue(i,surface_knots(i)); | |
2089 | ResultMults->SetValue(i,surface_mults(i)+deltasurface_degree); | |
2090 | } | |
2091 | } | |
2092 | else{ | |
2093 | if ((CheckIfKnotExists(surface_knots,knotmin))&&(!CheckIfKnotExists(surface_knots,knotmax))) | |
2094 | AddAKnot(surface_knots,surface_mults,knotmax,deltasurface_degree,finalsurface_degree,ResultKnots,ResultMults); | |
2095 | else{ | |
2096 | if ((!CheckIfKnotExists(surface_knots,knotmin))&&(CheckIfKnotExists(surface_knots,knotmax))) | |
2097 | AddAKnot(surface_knots,surface_mults,knotmin,deltasurface_degree,finalsurface_degree,ResultKnots,ResultMults); | |
2098 | else{ | |
2099 | if ((!CheckIfKnotExists(surface_knots,knotmin))&&(!CheckIfKnotExists(surface_knots,knotmax))&& | |
2100 | (knotmin==knotmax)){ | |
2101 | AddAKnot(surface_knots,surface_mults,knotmin,deltasurface_degree,finalsurface_degree,ResultKnots,ResultMults); | |
2102 | } | |
2103 | else{ | |
2104 | Handle(TColStd_HArray1OfReal) IntermedKnots; | |
2105 | Handle(TColStd_HArray1OfInteger) IntermedMults; | |
2106 | AddAKnot(surface_knots,surface_mults,knotmin,deltasurface_degree,finalsurface_degree,IntermedKnots,IntermedMults); | |
2107 | AddAKnot(IntermedKnots->ChangeArray1(),IntermedMults->ChangeArray1(),knotmax,0,finalsurface_degree,ResultKnots,ResultMults); | |
2108 | } | |
2109 | } | |
2110 | } | |
2111 | } | |
2112 | } | |
2113 | ||
2114 | //======================================================================= | |
2115 | //function : FunctionMultiply | |
2116 | //purpose : multiply the surface BSurf by a(u,v) (law_evaluator) on its | |
2117 | // numerator and denominator | |
2118 | //======================================================================= | |
2119 | ||
2120 | static void FunctionMultiply(Handle(Geom_BSplineSurface)& BSurf, | |
2121 | const Standard_Real knotmin, | |
2122 | const Standard_Real knotmax) | |
2123 | ||
2124 | {TColStd_Array1OfReal surface_u_knots(1,BSurf->NbUKnots()) ; | |
2125 | TColStd_Array1OfInteger surface_u_mults(1,BSurf->NbUKnots()) ; | |
2126 | TColStd_Array1OfReal surface_v_knots(1,BSurf->NbVKnots()) ; | |
2127 | TColStd_Array1OfInteger surface_v_mults(1,BSurf->NbVKnots()) ; | |
2128 | TColgp_Array2OfPnt surface_poles(1,BSurf->NbUPoles(), | |
2129 | 1,BSurf->NbVPoles()) ; | |
2130 | TColStd_Array2OfReal surface_weights(1,BSurf->NbUPoles(), | |
2131 | 1,BSurf->NbVPoles()) ; | |
2132 | Standard_Integer i,j,k,status,new_num_u_poles,new_num_v_poles,length=0; | |
2133 | Handle(TColStd_HArray1OfReal) newuknots,newvknots; | |
2134 | Handle(TColStd_HArray1OfInteger) newumults,newvmults; | |
2135 | ||
2136 | BSurf->UKnots(surface_u_knots) ; | |
2137 | BSurf->UMultiplicities(surface_u_mults) ; | |
2138 | BSurf->VKnots(surface_v_knots) ; | |
2139 | BSurf->VMultiplicities(surface_v_mults) ; | |
2140 | BSurf->Poles(surface_poles) ; | |
2141 | BSurf->Weights(surface_weights) ; | |
2142 | ||
2143 | TColStd_Array1OfReal Knots(1,2); | |
2144 | TColStd_Array1OfInteger Mults(1,2); | |
2145 | Handle(TColStd_HArray1OfReal) NewKnots; | |
2146 | Handle(TColStd_HArray1OfInteger) NewMults; | |
2147 | ||
2148 | Knots(1)=0; | |
2149 | Knots(2)=1; | |
2150 | Mults(1)=4; | |
2151 | Mults(2)=4; | |
2152 | BuildFlatKnot(Knots,Mults,0,3,knotmin,knotmax,NewKnots,NewMults); | |
2153 | ||
2154 | for (i=1;i<=NewMults->Length();i++) | |
2155 | length+=NewMults->Value(i); | |
2156 | TColStd_Array1OfReal FlatKnots(1,length); | |
2157 | BSplCLib::KnotSequence(NewKnots->ChangeArray1(),NewMults->ChangeArray1(),FlatKnots); | |
2158 | ||
41194117 | 2159 | GeomLib_DenominatorMultiplier aDenominator (BSurf, FlatKnots); |
7fd59977 | 2160 | |
2161 | BuildFlatKnot(surface_u_knots, | |
2162 | surface_u_mults, | |
2163 | 3, | |
2164 | BSurf->UDegree()+3, | |
2165 | knotmin, | |
2166 | knotmax, | |
2167 | newuknots, | |
2168 | newumults); | |
2169 | BuildFlatKnot(surface_v_knots, | |
2170 | surface_v_mults, | |
2171 | BSurf->VDegree(), | |
2172 | 2*(BSurf->VDegree()), | |
2173 | 1.0, | |
2174 | 0.0, | |
2175 | newvknots, | |
2176 | newvmults); | |
2177 | length=0; | |
2178 | for (i=1;i<=newumults->Length();i++) | |
2179 | length+=newumults->Value(i); | |
2180 | new_num_u_poles=(length-BSurf->UDegree()-3-1); | |
2181 | TColStd_Array1OfReal newuflatknots(1,length); | |
2182 | length=0; | |
2183 | for (i=1;i<=newvmults->Length();i++) | |
2184 | length+=newvmults->Value(i); | |
2185 | new_num_v_poles=(length-2*BSurf->VDegree()-1); | |
2186 | TColStd_Array1OfReal newvflatknots(1,length); | |
2187 | ||
2188 | TColgp_Array2OfPnt NewNumerator(1,new_num_u_poles,1,new_num_v_poles); | |
2189 | TColStd_Array2OfReal NewDenominator(1,new_num_u_poles,1,new_num_v_poles); | |
2190 | ||
2191 | BSplCLib::KnotSequence(newuknots->ChangeArray1(),newumults->ChangeArray1(),newuflatknots); | |
2192 | BSplCLib::KnotSequence(newvknots->ChangeArray1(),newvmults->ChangeArray1(),newvflatknots); | |
2193 | //POP pour WNT | |
41194117 | 2194 | law_evaluator ev (&aDenominator); |
7fd59977 | 2195 | // BSplSLib::FunctionMultiply(law_evaluator, //multiplication |
2196 | BSplSLib::FunctionMultiply(ev, //multiplication | |
2197 | BSurf->UDegree(), | |
2198 | BSurf->VDegree(), | |
2199 | surface_u_knots, | |
2200 | surface_v_knots, | |
2201 | surface_u_mults, | |
2202 | surface_v_mults, | |
2203 | surface_poles, | |
2204 | surface_weights, | |
2205 | newuflatknots, | |
2206 | newvflatknots, | |
2207 | BSurf->UDegree()+3, | |
2208 | 2*(BSurf->VDegree()), | |
2209 | NewNumerator, | |
2210 | NewDenominator, | |
2211 | status); | |
2212 | if (status!=0) | |
2213 | Standard_ConstructionError::Raise("GeomLib Multiplication Error") ; | |
2214 | for (i = 1 ; i <= new_num_u_poles ; i++) { | |
2215 | for (j = 1 ; j <= new_num_v_poles ; j++) { | |
2216 | for (k = 1 ; k <= 3 ; k++) { | |
2217 | NewNumerator(i,j).SetCoord(k,NewNumerator(i,j).Coord(k)/NewDenominator(i,j)) ; | |
2218 | } | |
2219 | } | |
2220 | } | |
2221 | BSurf= new Geom_BSplineSurface(NewNumerator, | |
2222 | NewDenominator, | |
2223 | newuknots->ChangeArray1(), | |
2224 | newvknots->ChangeArray1(), | |
2225 | newumults->ChangeArray1(), | |
2226 | newvmults->ChangeArray1(), | |
2227 | BSurf->UDegree()+3, | |
2228 | 2*(BSurf->VDegree()) ); | |
2229 | } | |
2230 | ||
2231 | //======================================================================= | |
2232 | //function : CancelDenominatorDerivative1D | |
2233 | //purpose : cancel the denominator derivative in one direction | |
2234 | //======================================================================= | |
2235 | ||
2236 | static void CancelDenominatorDerivative1D(Handle(Geom_BSplineSurface) & BSurf) | |
2237 | ||
2238 | {Standard_Integer i,j; | |
2239 | Standard_Real uknotmin=1.0,uknotmax=0.0, | |
2240 | x,y, | |
2241 | startu_value, | |
2242 | endu_value; | |
2243 | TColStd_Array1OfReal BSurf_u_knots(1,BSurf->NbUKnots()) ; | |
2244 | ||
2245 | startu_value=BSurf->UKnot(1); | |
2246 | endu_value=BSurf->UKnot(BSurf->NbUKnots()); | |
2247 | BSurf->UKnots(BSurf_u_knots) ; | |
2248 | BSplCLib::Reparametrize(0.0,1.0,BSurf_u_knots); | |
2249 | BSurf->SetUKnots(BSurf_u_knots); //reparametrisation of the surface | |
2250 | Handle(Geom_BSplineCurve) BCurve; | |
2251 | TColStd_Array1OfReal BCurveWeights(1,BSurf->NbUPoles()); | |
2252 | TColgp_Array1OfPnt BCurvePoles(1,BSurf->NbUPoles()); | |
2253 | TColStd_Array1OfReal BCurveKnots(1,BSurf->NbUKnots()); | |
2254 | TColStd_Array1OfInteger BCurveMults(1,BSurf->NbUKnots()); | |
2255 | ||
2256 | if (CanBeTreated(BSurf)){ | |
2257 | for (i=1;i<=BSurf->NbVPoles();i++){ //loop on each pole function | |
2258 | x=1.0;y=0.0; | |
2259 | for (j=1;j<=BSurf->NbUPoles();j++){ | |
2260 | BCurveWeights(j)=BSurf->Weight(j,i); | |
2261 | BCurvePoles(j)=BSurf->Pole(j,i); | |
2262 | } | |
2263 | BSurf->UKnots(BCurveKnots); | |
2264 | BSurf->UMultiplicities(BCurveMults); | |
2265 | BCurve = new Geom_BSplineCurve(BCurvePoles, //building of a pole function | |
2266 | BCurveWeights, | |
2267 | BCurveKnots, | |
2268 | BCurveMults, | |
2269 | BSurf->UDegree()); | |
2270 | Hermit::Solutionbis(BCurve,x,y,Precision::Confusion(),Precision::Confusion()); | |
2271 | if (x<uknotmin) | |
2272 | uknotmin=x; //uknotmin,uknotmax:extremal knots | |
2273 | if ((x!=1.0)&&(x>uknotmax)) | |
2274 | uknotmax=x; | |
2275 | if ((y!=0.0)&&(y<uknotmin)) | |
2276 | uknotmin=y; | |
2277 | if (y>uknotmax) | |
2278 | uknotmax=y; | |
2279 | } | |
2280 | ||
2281 | FunctionMultiply(BSurf,uknotmin,uknotmax); //multiplication | |
2282 | ||
2283 | BSurf->UKnots(BSurf_u_knots) ; | |
2284 | BSplCLib::Reparametrize(startu_value,endu_value,BSurf_u_knots); | |
2285 | BSurf->SetUKnots(BSurf_u_knots); | |
2286 | } | |
2287 | } | |
2288 | ||
2289 | //======================================================================= | |
2290 | //function : CancelDenominatorDerivative | |
2291 | //purpose : | |
2292 | //======================================================================= | |
2293 | ||
2294 | void GeomLib::CancelDenominatorDerivative(Handle(Geom_BSplineSurface) & BSurf, | |
2295 | const Standard_Boolean udirection, | |
2296 | const Standard_Boolean vdirection) | |
2297 | ||
2298 | {if (udirection && !vdirection) | |
2299 | CancelDenominatorDerivative1D(BSurf); | |
2300 | else{ | |
2301 | if (!udirection && vdirection) { | |
2302 | BSurf->ExchangeUV(); | |
2303 | CancelDenominatorDerivative1D(BSurf); | |
2304 | BSurf->ExchangeUV(); | |
2305 | } | |
2306 | else{ | |
2307 | if (udirection && vdirection){ //optimize the treatment | |
2308 | if (BSurf->UDegree()<=BSurf->VDegree()){ | |
2309 | CancelDenominatorDerivative1D(BSurf); | |
2310 | BSurf->ExchangeUV(); | |
2311 | CancelDenominatorDerivative1D(BSurf); | |
2312 | BSurf->ExchangeUV(); | |
2313 | } | |
2314 | else{ | |
2315 | BSurf->ExchangeUV(); | |
2316 | CancelDenominatorDerivative1D(BSurf); | |
2317 | BSurf->ExchangeUV(); | |
2318 | CancelDenominatorDerivative1D(BSurf); | |
2319 | } | |
2320 | } | |
2321 | } | |
2322 | } | |
2323 | } | |
2324 | ||
2325 | //======================================================================= | |
2326 | //function : NormEstim | |
2327 | //purpose : | |
2328 | //======================================================================= | |
2329 | ||
2330 | Standard_Integer GeomLib::NormEstim(const Handle(Geom_Surface)& S, | |
2331 | const gp_Pnt2d& UV, | |
2332 | const Standard_Real Tol, gp_Dir& N) | |
2333 | { | |
2334 | gp_Vec DU, DV; | |
2335 | gp_Pnt DummyPnt; | |
2336 | Standard_Real aTol2 = Square(Tol); | |
2337 | ||
2338 | S->D1(UV.X(), UV.Y(), DummyPnt, DU, DV); | |
2339 | ||
2340 | Standard_Real MDU = DU.SquareMagnitude(), MDV = DV.SquareMagnitude(); | |
2341 | ||
7fd59977 | 2342 | if(MDU >= aTol2 && MDV >= aTol2) { |
2343 | gp_Vec Norm = DU^DV; | |
2344 | Standard_Real Magn = Norm.SquareMagnitude(); | |
2345 | if(Magn < aTol2) return 3; | |
2346 | ||
2347 | //Magn = sqrt(Magn); | |
2348 | N.SetXYZ(Norm.XYZ()); | |
2349 | ||
2350 | return 0; | |
2351 | } | |
7fd59977 | 2352 | else { |
2b21c641 | 2353 | gp_Vec D2U, D2V, D2UV; |
2354 | Standard_Boolean isDone; | |
2355 | CSLib_NormalStatus aStatus; | |
2356 | gp_Dir aNormal; | |
2357 | ||
2358 | S->D2(UV.X(), UV.Y(), DummyPnt, DU, DV, D2U, D2V, D2UV); | |
2359 | CSLib::Normal(DU, DV, D2U, D2V, D2UV, Tol, isDone, aStatus, aNormal); | |
2360 | ||
2361 | if (isDone) { | |
2362 | Standard_Real Umin, Umax, Vmin, Vmax; | |
2363 | Standard_Real step = 1.0e-5; | |
2364 | Standard_Real eps = 1.0e-16; | |
23b894f7 | 2365 | Standard_Real sign = -1.0; |
2b21c641 | 2366 | |
2367 | S->Bounds(Umin, Umax, Vmin, Vmax); | |
23b894f7 | 2368 | |
2369 | // check for cone apex singularity point | |
2370 | if ((UV.Y() > Vmin + step) && (UV.Y() < Vmax - step)) | |
2371 | { | |
2372 | gp_Dir aNormal1, aNormal2; | |
2373 | Standard_Real aConeSingularityAngleEps = 1.0e-4; | |
2374 | S->D1(UV.X(), UV.Y() - sign * step, DummyPnt, DU, DV); | |
2375 | if ((DU.XYZ().SquareModulus() > eps) && (DV.XYZ().SquareModulus() > eps)) { | |
2376 | aNormal1 = DU^DV; | |
2377 | S->D1(UV.X(), UV.Y() + sign * step, DummyPnt, DU, DV); | |
2378 | if ((DU.XYZ().SquareModulus() > eps) && (DV.XYZ().SquareModulus() > eps)) { | |
2379 | aNormal2 = DU^DV; | |
2380 | if (aNormal1.IsOpposite(aNormal2, aConeSingularityAngleEps)) | |
2381 | return 2; | |
2382 | } | |
2383 | } | |
2384 | } | |
2385 | ||
2b21c641 | 2386 | // Along V |
2387 | if(MDU < aTol2 && MDV >= aTol2) { | |
23b894f7 | 2388 | if ((Vmax - UV.Y()) > (UV.Y() - Vmin)) |
2389 | sign = 1.0; | |
2b21c641 | 2390 | S->D1(UV.X(), UV.Y() + sign * step, DummyPnt, DU, DV); |
2391 | gp_Vec Norm = DU^DV; | |
23b894f7 | 2392 | if (Norm.SquareMagnitude() < eps) { |
2393 | Standard_Real sign1 = -1.0; | |
2394 | if ((Umax - UV.X()) > (UV.X() - Umin)) | |
2395 | sign1 = 1.0; | |
2396 | S->D1(UV.X() + sign1 * step, UV.Y() + sign * step, DummyPnt, DU, DV); | |
2397 | Norm = DU^DV; | |
2398 | } | |
2b21c641 | 2399 | if ((Norm.SquareMagnitude() >= eps) && (Norm.Dot(aNormal) < 0.0)) |
23b894f7 | 2400 | aNormal.Reverse(); |
2b21c641 | 2401 | } |
23b894f7 | 2402 | |
2b21c641 | 2403 | // Along U |
2404 | if(MDV < aTol2 && MDU >= aTol2) { | |
23b894f7 | 2405 | if ((Umax - UV.X()) > (UV.X() - Umin)) |
2406 | sign = 1.0; | |
2b21c641 | 2407 | S->D1(UV.X() + sign * step, UV.Y(), DummyPnt, DU, DV); |
2408 | gp_Vec Norm = DU^DV; | |
23b894f7 | 2409 | if (Norm.SquareMagnitude() < eps) { |
2410 | Standard_Real sign1 = -1.0; | |
2411 | if ((Vmax - UV.Y()) > (UV.Y() - Vmin)) | |
2412 | sign1 = 1.0; | |
2413 | S->D1(UV.X() + sign * step, UV.Y() + sign1 * step, DummyPnt, DU, DV); | |
2414 | Norm = DU^DV; | |
2415 | } | |
2b21c641 | 2416 | if ((Norm.SquareMagnitude() >= eps) && (Norm.Dot(aNormal) < 0.0)) |
2417 | aNormal.Reverse(); | |
2418 | } | |
7fd59977 | 2419 | |
2b21c641 | 2420 | // quasysingular |
2421 | if ((aStatus == CSLib_D1NuIsNull) || (aStatus == CSLib_D1NvIsNull) || | |
2422 | (aStatus == CSLib_D1NuIsParallelD1Nv)) { | |
2423 | N.SetXYZ(aNormal.XYZ()); | |
2424 | return 1; | |
2425 | } | |
2426 | // conical | |
2427 | if (aStatus == CSLib_InfinityOfSolutions) | |
2428 | return 2; | |
7fd59977 | 2429 | } |
2b21c641 | 2430 | // computation is impossible |
7fd59977 | 2431 | else { |
2b21c641 | 2432 | // conical |
2433 | if (aStatus == CSLib_D1NIsNull) { | |
2434 | return 2; | |
2435 | } | |
2436 | return 3; | |
7fd59977 | 2437 | } |
7fd59977 | 2438 | } |
2b21c641 | 2439 | return 3; |
7fd59977 | 2440 | } |
2441 | ||
2442 |