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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) | |
7fd59977 | 31 | // xab 10/07/97 on revient en arriere sur l'ajout du 26/06/97 |
32 | // pmn 26/09/97 Ajout des parametres d'approx dans BuildCurve3d | |
33 | // xab 29/09/97 on reintegre l'ajout du 26/06/97 | |
34 | // pmn 31/10/97 Ajoute AdjustExtremity | |
35 | // jct 26/11/98 blindage dans ExtendSurf qd NTgte = 0 (CTS21288) | |
36 | // jct 19/01/99 traitement de la periodicite dans ExtendSurf | |
37 | // Design: | |
38 | // Warning: None | |
39 | // References: None | |
40 | // Language: C++2.0 | |
41 | // Purpose: | |
7fd59977 | 42 | // Declarations: |
43 | ||
7fd59977 | 44 | #include <Adaptor2d_HCurve2d.hxx> |
42cf5bc1 | 45 | #include <Adaptor3d_Curve.hxx> |
46 | #include <Adaptor3d_CurveOnSurface.hxx> | |
7fd59977 | 47 | #include <Adaptor3d_HCurve.hxx> |
48 | #include <Adaptor3d_HSurface.hxx> | |
42cf5bc1 | 49 | #include <AdvApprox_ApproxAFunction.hxx> |
50 | #include <AdvApprox_PrefAndRec.hxx> | |
51 | #include <BSplCLib.hxx> | |
52 | #include <BSplSLib.hxx> | |
53 | #include <CSLib.hxx> | |
54 | #include <CSLib_NormalStatus.hxx> | |
55 | #include <ElCLib.hxx> | |
7fd59977 | 56 | #include <Geom2d_BezierCurve.hxx> |
42cf5bc1 | 57 | #include <Geom2d_BSplineCurve.hxx> |
7fd59977 | 58 | #include <Geom2d_Circle.hxx> |
42cf5bc1 | 59 | #include <Geom2d_Curve.hxx> |
7fd59977 | 60 | #include <Geom2d_Ellipse.hxx> |
7fd59977 | 61 | #include <Geom2d_Hyperbola.hxx> |
42cf5bc1 | 62 | #include <Geom2d_Line.hxx> |
7fd59977 | 63 | #include <Geom2d_OffsetCurve.hxx> |
42cf5bc1 | 64 | #include <Geom2d_Parabola.hxx> |
65 | #include <Geom2d_TrimmedCurve.hxx> | |
66 | #include <Geom2dAdaptor_Curve.hxx> | |
67 | #include <Geom2dAdaptor_GHCurve.hxx> | |
68 | #include <Geom2dAdaptor_HCurve.hxx> | |
69 | #include <Geom2dConvert.hxx> | |
70 | #include <Geom_BezierCurve.hxx> | |
7fd59977 | 71 | #include <Geom_BezierSurface.hxx> |
42cf5bc1 | 72 | #include <Geom_BoundedCurve.hxx> |
73 | #include <Geom_BoundedSurface.hxx> | |
74 | #include <Geom_BSplineCurve.hxx> | |
7fd59977 | 75 | #include <Geom_BSplineSurface.hxx> |
42cf5bc1 | 76 | #include <Geom_Circle.hxx> |
77 | #include <Geom_Curve.hxx> | |
78 | #include <Geom_Ellipse.hxx> | |
79 | #include <Geom_Hyperbola.hxx> | |
80 | #include <Geom_Line.hxx> | |
81 | #include <Geom_OffsetCurve.hxx> | |
82 | #include <Geom_Parabola.hxx> | |
83 | #include <Geom_Plane.hxx> | |
84 | #include <Geom_RectangularTrimmedSurface.hxx> | |
85 | #include <Geom_Surface.hxx> | |
86 | #include <Geom_TrimmedCurve.hxx> | |
87 | #include <GeomAdaptor_HSurface.hxx> | |
88 | #include <GeomAdaptor_Surface.hxx> | |
89 | #include <GeomConvert.hxx> | |
90 | #include <GeomConvert_ApproxSurface.hxx> | |
91 | #include <GeomConvert_CompCurveToBSplineCurve.hxx> | |
92 | #include <GeomLib.hxx> | |
93 | #include <GeomLib_DenominatorMultiplier.hxx> | |
94 | #include <GeomLib_DenominatorMultiplierPtr.hxx> | |
95 | #include <GeomLib_LogSample.hxx> | |
96 | #include <GeomLib_MakeCurvefromApprox.hxx> | |
97 | #include <GeomLib_PolyFunc.hxx> | |
98 | #include <gp_Ax2.hxx> | |
7fd59977 | 99 | #include <gp_Circ.hxx> |
100 | #include <gp_Circ2d.hxx> | |
42cf5bc1 | 101 | #include <gp_Dir.hxx> |
7fd59977 | 102 | #include <gp_Elips.hxx> |
103 | #include <gp_Elips2d.hxx> | |
42cf5bc1 | 104 | #include <gp_GTrsf2d.hxx> |
7fd59977 | 105 | #include <gp_Hypr.hxx> |
106 | #include <gp_Hypr2d.hxx> | |
42cf5bc1 | 107 | #include <gp_Lin.hxx> |
108 | #include <gp_Lin2d.hxx> | |
7fd59977 | 109 | #include <gp_Parab.hxx> |
110 | #include <gp_Parab2d.hxx> | |
42cf5bc1 | 111 | #include <gp_Pnt.hxx> |
112 | #include <gp_Pnt2d.hxx> | |
7fd59977 | 113 | #include <gp_Trsf2d.hxx> |
42cf5bc1 | 114 | #include <gp_TrsfForm.hxx> |
115 | #include <gp_Vec.hxx> | |
116 | #include <Hermit.hxx> | |
117 | #include <math.hxx> | |
118 | #include <math_FunctionAllRoots.hxx> | |
119 | #include <math_FunctionSample.hxx> | |
120 | #include <math_Jacobi.hxx> | |
121 | #include <math_Matrix.hxx> | |
122 | #include <math_Vector.hxx> | |
123 | #include <PLib.hxx> | |
124 | #include <Precision.hxx> | |
7fd59977 | 125 | #include <Standard_ConstructionError.hxx> |
42cf5bc1 | 126 | #include <Standard_NotImplemented.hxx> |
127 | #include <TColgp_Array1OfPnt.hxx> | |
128 | #include <TColgp_Array1OfPnt2d.hxx> | |
129 | #include <TColgp_Array1OfVec.hxx> | |
130 | #include <TColgp_Array1OfXYZ.hxx> | |
131 | #include <TColgp_Array2OfPnt.hxx> | |
132 | #include <TColgp_HArray2OfPnt.hxx> | |
133 | #include <TColStd_Array1OfInteger.hxx> | |
134 | #include <TColStd_Array1OfReal.hxx> | |
135 | #include <TColStd_Array2OfReal.hxx> | |
136 | #include <TColStd_HArray1OfReal.hxx> | |
137 | #include <TColStd_HArray2OfReal.hxx> | |
7fd59977 | 138 | |
139 | //======================================================================= | |
140 | //function : ComputeLambda | |
141 | //purpose : Calcul le facteur lambda qui minimise la variation de vittesse | |
142 | // sur une interpolation d'hermite d'ordre (i,0) | |
143 | //======================================================================= | |
144 | static void ComputeLambda(const math_Matrix& Constraint, | |
145 | const math_Matrix& Hermit, | |
146 | const Standard_Real Length, | |
147 | Standard_Real& Lambda ) | |
148 | { | |
149 | Standard_Integer size = Hermit.RowNumber(); | |
150 | Standard_Integer Continuity = size-2; | |
151 | Standard_Integer ii, jj, ip, pp; | |
152 | ||
153 | //Minimization | |
154 | math_Matrix HDer(1, size-1, 1, size); | |
155 | for (jj=1; jj<=size; jj++) { | |
156 | for (ii=1; ii<size;ii++) { | |
157 | HDer(ii, jj) = ii*Hermit(jj, ii+1); | |
158 | } | |
159 | } | |
160 | ||
161 | math_Vector V(1, size); | |
162 | math_Vector Vec1(1, Constraint.RowNumber()); | |
163 | math_Vector Vec2(1, Constraint.RowNumber()); | |
164 | math_Vector Vec3(1, Constraint.RowNumber()); | |
165 | math_Vector Vec4(1, Constraint.RowNumber()); | |
166 | ||
167 | Standard_Real * polynome = &HDer(1,1); | |
168 | Standard_Real * valhder = &V(1); | |
169 | Vec2 = Constraint.Col(2); | |
170 | Vec2 /= Length; | |
171 | Standard_Real t, squared1 = Vec2.Norm2(), GW; | |
172 | // math_Matrix Vec(1, Constraint.RowNumber(), 1, size-1); | |
173 | // gp_Vec Vfirst(p0.XYZ()), Vlast(Point.XYZ()); | |
174 | // TColgp_Array1OfVec Der(2, 4); | |
175 | // Der(2) = d1; Der(3) = d2; Der(4) = d3; | |
176 | ||
177 | Standard_Integer GOrdre = 4 + 4*Continuity, | |
178 | DDim=Continuity*(Continuity+2); | |
179 | math_Vector GaussP(1, GOrdre), GaussW(1, GOrdre), | |
180 | pol2(1, 2*Continuity+1), | |
181 | pol4(1, 4*Continuity+1); | |
182 | math::GaussPoints(GOrdre, GaussP); | |
183 | math::GaussWeights (GOrdre, GaussW); | |
184 | pol4.Init(0.); | |
185 | ||
186 | for (ip=1; ip<=GOrdre; ip++) { | |
187 | t = (GaussP(ip)+1.)/2; | |
188 | GW = GaussW(ip); | |
189 | PLib::NoDerivativeEvalPolynomial(t , Continuity, Continuity+2, DDim, | |
190 | polynome[0], valhder[0]); | |
191 | V /= Length; //Normalisation | |
192 | ||
193 | // i | |
194 | // C'(t) = SUM Vi*Lambda | |
195 | Vec1 = Constraint.Col(1); | |
196 | Vec1 *= V(1); | |
197 | Vec1 += V(size)*Constraint.Col(size); | |
198 | Vec2 = Constraint.Col(2); | |
199 | Vec2 *= V(2); | |
200 | if (Continuity > 1) { | |
201 | Vec3 = Constraint.Col(3); | |
202 | Vec3 *= V(3); | |
203 | if (Continuity > 2) { | |
204 | Vec4 = Constraint.Col(4); | |
205 | Vec4 *= V(4); | |
206 | } | |
207 | } | |
208 | ||
209 | ||
210 | // 2 2 | |
211 | // C'(t) - C'(0) | |
212 | ||
213 | pol2(1) = Vec1.Norm2(); | |
214 | pol2(2) = 2*(Vec1.Multiplied(Vec2)); | |
215 | pol2(3) = Vec2.Norm2() - squared1; | |
216 | if (Continuity>1) { | |
217 | pol2(3) += 2*(Vec1.Multiplied(Vec3)); | |
218 | pol2(4) = 2*(Vec2.Multiplied(Vec3)); | |
219 | pol2(5) = Vec3.Norm2(); | |
220 | if (Continuity>2) { | |
221 | pol2(4)+= 2*(Vec1.Multiplied(Vec4)); | |
222 | pol2(5)+= 2*(Vec2.Multiplied(Vec4)); | |
223 | pol2(6) = 2*(Vec3.Multiplied(Vec4)); | |
224 | pol2(7) = Vec4.Norm2(); | |
225 | } | |
226 | } | |
227 | ||
228 | // 2 2 2 | |
229 | // Integrale de ( C'(t) - C'(0) ) | |
230 | for (ii=1; ii<=pol2.Length(); ii++) { | |
231 | pp = ii; | |
232 | for(jj=1; jj<ii; jj++, pp++) { | |
233 | pol4(pp) += 2*GW*pol2(ii)*pol2(jj); | |
234 | } | |
235 | pol4(2*ii-1) += GW*Pow(pol2(ii), 2); | |
236 | } | |
237 | } | |
238 | ||
239 | Standard_Real EMin, E; | |
240 | PLib::NoDerivativeEvalPolynomial(Lambda , pol4.Length()-1, 1, | |
241 | pol4.Length()-1, | |
242 | pol4(1), EMin); | |
243 | ||
244 | if (EMin > Precision::Confusion()) { | |
245 | // Recheche des extrema de la fonction | |
246 | GeomLib_PolyFunc FF(pol4); | |
247 | GeomLib_LogSample S(Lambda/1000, 50*Lambda, 100); | |
248 | math_FunctionAllRoots Solve(FF, S, Precision::Confusion(), | |
249 | Precision::Confusion()*(Length+1), | |
250 | 1.e-15); | |
251 | if (Solve.IsDone()) { | |
252 | for (ii=1; ii<=Solve.NbPoints(); ii++) { | |
253 | t = Solve.GetPoint(ii); | |
254 | PLib::NoDerivativeEvalPolynomial(t , pol4.Length()-1, 1, | |
255 | pol4.Length()-1, | |
256 | pol4(1), E); | |
257 | if (E < EMin) { | |
258 | Lambda = t; | |
259 | EMin = E; | |
260 | } | |
261 | } | |
262 | } | |
263 | } | |
264 | } | |
265 | ||
266 | #include <Extrema_LocateExtPC.hxx> | |
ec357c5c | 267 | #include <Geom2d_Curve.hxx> |
7fd59977 | 268 | //======================================================================= |
269 | //function : RemovePointsFromArray | |
270 | //purpose : | |
271 | //======================================================================= | |
272 | ||
273 | void GeomLib::RemovePointsFromArray(const Standard_Integer NumPoints, | |
274 | const TColStd_Array1OfReal& InParameters, | |
275 | Handle(TColStd_HArray1OfReal)& OutParameters) | |
276 | { | |
277 | Standard_Integer ii, | |
278 | jj, | |
279 | add_one_point, | |
280 | loc_num_points, | |
281 | num_points, | |
282 | index ; | |
283 | Standard_Real delta, | |
284 | current_parameter ; | |
285 | ||
286 | loc_num_points = Max(0,NumPoints-2) ; | |
287 | delta = InParameters(InParameters.Upper()) - InParameters(InParameters.Lower()) ; | |
288 | delta /= (Standard_Real) (loc_num_points + 1) ; | |
289 | num_points = 1 ; | |
290 | current_parameter = InParameters(InParameters.Lower()) + delta * 0.5e0 ; | |
291 | ii = InParameters.Lower() + 1 ; | |
292 | for (jj = 0 ; ii < InParameters.Upper() && jj < NumPoints ; jj++) { | |
293 | add_one_point = 0 ; | |
294 | while ( ii < InParameters.Upper() && InParameters(ii) < current_parameter) { | |
295 | ii += 1 ; | |
296 | add_one_point = 1 ; | |
297 | } | |
298 | num_points += add_one_point ; | |
299 | current_parameter += delta ; | |
300 | } | |
301 | if (NumPoints <= 2) { | |
302 | num_points = 2 ; | |
303 | } | |
304 | index = 2 ; | |
305 | current_parameter = InParameters(InParameters.Lower()) + delta * 0.5e0 ; | |
306 | OutParameters = | |
307 | new TColStd_HArray1OfReal(1,num_points) ; | |
308 | OutParameters->ChangeArray1()(1) = InParameters(InParameters.Lower()) ; | |
309 | ii = InParameters.Lower() + 1 ; | |
310 | for (jj = 0 ; ii < InParameters.Upper() && jj < NumPoints ; jj++) { | |
311 | add_one_point = 0 ; | |
312 | while (ii < InParameters.Upper() && InParameters(ii) < current_parameter) { | |
313 | ii += 1 ; | |
314 | add_one_point = 1 ; | |
315 | } | |
316 | if (add_one_point && index <= num_points) { | |
317 | OutParameters->ChangeArray1()(index) = InParameters(ii-1) ; | |
318 | index += 1 ; | |
319 | } | |
320 | current_parameter += delta ; | |
321 | } | |
322 | OutParameters->ChangeArray1()(num_points) = InParameters(InParameters.Upper()) ; | |
323 | } | |
324 | //======================================================================= | |
325 | //function : DensifyArray1OfReal | |
326 | //purpose : | |
327 | //======================================================================= | |
328 | ||
329 | void GeomLib::DensifyArray1OfReal(const Standard_Integer MinNumPoints, | |
330 | const TColStd_Array1OfReal& InParameters, | |
331 | Handle(TColStd_HArray1OfReal)& OutParameters) | |
332 | { | |
333 | Standard_Integer ii, | |
334 | in_order, | |
335 | num_points, | |
336 | num_parameters_to_add, | |
337 | index ; | |
338 | Standard_Real delta, | |
339 | current_parameter ; | |
340 | ||
341 | in_order = 1 ; | |
342 | if (MinNumPoints > InParameters.Length()) { | |
343 | ||
344 | // | |
345 | // checks the paramaters are in increasing order | |
346 | // | |
347 | for (ii = InParameters.Lower() ; ii < InParameters.Upper() ; ii++) { | |
348 | if (InParameters(ii) > InParameters(ii+1)) { | |
349 | in_order = 0 ; | |
350 | break ; | |
351 | } | |
352 | } | |
353 | if (in_order) { | |
354 | num_parameters_to_add = MinNumPoints - InParameters.Length() ; | |
355 | delta = InParameters(InParameters.Upper()) - InParameters(InParameters.Lower()) ; | |
356 | delta /= (Standard_Real) (num_parameters_to_add + 1) ; | |
357 | num_points = MinNumPoints ; | |
358 | OutParameters = | |
359 | new TColStd_HArray1OfReal(1,num_points) ; | |
360 | index = 1 ; | |
361 | current_parameter = InParameters(InParameters.Lower()) ; | |
362 | OutParameters->ChangeArray1()(index) = current_parameter ; | |
363 | index += 1 ; | |
364 | current_parameter += delta ; | |
365 | for (ii = InParameters.Lower() + 1 ; index <= num_points && ii <= InParameters.Upper() ; ii++) { | |
366 | while (current_parameter < InParameters(ii) && index <= num_points) { | |
367 | OutParameters->ChangeArray1()(index) = current_parameter ; | |
368 | index += 1 ; | |
369 | current_parameter += delta ; | |
370 | } | |
371 | if (index <= num_points) { | |
372 | OutParameters->ChangeArray1()(index) = InParameters(ii) ; | |
373 | } | |
374 | index += 1 ; | |
375 | } | |
376 | // | |
377 | // beware of roundoff ! | |
378 | // | |
379 | OutParameters->ChangeArray1()(num_points) = InParameters(InParameters.Upper()) ; | |
380 | } | |
381 | else { | |
382 | index = 1 ; | |
383 | num_points = InParameters.Length() ; | |
384 | OutParameters = | |
385 | new TColStd_HArray1OfReal(1,num_points) ; | |
386 | for (ii = InParameters.Lower() ; ii <= InParameters.Upper() ; ii++) { | |
387 | OutParameters->ChangeArray1()(index) = InParameters(ii) ; | |
388 | index += 1 ; | |
389 | } | |
390 | } | |
391 | } | |
392 | else { | |
393 | index = 1 ; | |
394 | num_points = InParameters.Length() ; | |
395 | OutParameters = | |
396 | new TColStd_HArray1OfReal(1,num_points) ; | |
397 | for (ii = InParameters.Lower() ; ii <= InParameters.Upper() ; ii++) { | |
398 | OutParameters->ChangeArray1()(index) = InParameters(ii) ; | |
399 | index += 1 ; | |
400 | } | |
401 | } | |
402 | } | |
403 | ||
404 | //======================================================================= | |
405 | //function : FuseIntervals | |
406 | //purpose : | |
407 | //======================================================================= | |
408 | void GeomLib::FuseIntervals(const TColStd_Array1OfReal& I1, | |
409 | const TColStd_Array1OfReal& I2, | |
410 | TColStd_SequenceOfReal& Seq, | |
411 | const Standard_Real Epspar) | |
412 | { | |
413 | Standard_Integer ind1=1, ind2=1; | |
414 | Standard_Real v1, v2; | |
415 | // Initialisations : les IND1 et IND2 pointent sur le 1er element | |
416 | // de chacune des 2 tables a traiter.INDS pointe sur le dernier | |
417 | // element cree de TABSOR | |
418 | ||
419 | ||
420 | //--- On remplit TABSOR en parcourant TABLE1 et TABLE2 simultanement --- | |
421 | //------------------ en eliminant les occurrences multiples ------------ | |
422 | ||
423 | while ((ind1<=I1.Upper()) && (ind2<=I2.Upper())) { | |
424 | v1 = I1(ind1); | |
425 | v2 = I2(ind2); | |
426 | if (Abs(v1-v2)<= Epspar) { | |
427 | // Ici les elements de I1 et I2 conviennent . | |
428 | Seq.Append((v1+v2)/2); | |
429 | ind1++; | |
430 | ind2++; | |
431 | } | |
432 | else if (v1 < v2) { | |
433 | // Ici l' element de I1 convient. | |
434 | Seq.Append(v1); | |
435 | ind1++; | |
436 | } | |
437 | else { | |
438 | // Ici l' element de TABLE2 convient. | |
439 | Seq.Append(v2); | |
440 | ind2++; | |
441 | } | |
442 | } | |
443 | ||
444 | if (ind1>I1.Upper()) { | |
445 | //----- Ici I1 est epuise, on complete avec la fin de TABLE2 ------- | |
446 | ||
447 | for (; ind2<=I2.Upper(); ind2++) { | |
448 | Seq.Append(I2(ind2)); | |
449 | } | |
450 | } | |
451 | ||
452 | if (ind2>I2.Upper()) { | |
453 | //----- Ici I2 est epuise, on complete avec la fin de I1 ------- | |
454 | for (; ind1<=I1.Upper(); ind1++) { | |
455 | Seq.Append(I1(ind1)); | |
456 | } | |
457 | } | |
458 | } | |
459 | ||
460 | ||
461 | //======================================================================= | |
462 | //function : EvalMaxParametricDistance | |
463 | //purpose : | |
464 | //======================================================================= | |
465 | ||
466 | void GeomLib::EvalMaxParametricDistance(const Adaptor3d_Curve& ACurve, | |
467 | const Adaptor3d_Curve& AReferenceCurve, | |
468 | // const Standard_Real Tolerance, | |
469 | const Standard_Real , | |
470 | const TColStd_Array1OfReal& Parameters, | |
471 | Standard_Real& MaxDistance) | |
472 | { | |
473 | Standard_Integer ii ; | |
474 | ||
475 | Standard_Real max_squared = 0.0e0, | |
476 | // tolerance_squared, | |
477 | local_distance_squared ; | |
478 | ||
479 | // tolerance_squared = Tolerance * Tolerance ; | |
480 | gp_Pnt Point1 ; | |
481 | gp_Pnt Point2 ; | |
482 | for (ii = Parameters.Lower() ; ii <= Parameters.Upper() ; ii++) { | |
483 | ACurve.D0(Parameters(ii), | |
484 | Point1) ; | |
485 | AReferenceCurve.D0(Parameters(ii), | |
486 | Point2) ; | |
487 | local_distance_squared = | |
488 | Point1.SquareDistance (Point2) ; | |
489 | max_squared = Max(max_squared,local_distance_squared) ; | |
490 | } | |
491 | if (max_squared > 0.0e0) { | |
492 | MaxDistance = sqrt(max_squared) ; | |
493 | } | |
494 | else { | |
495 | MaxDistance = 0.0e0 ; | |
496 | } | |
497 | ||
498 | } | |
499 | //======================================================================= | |
500 | //function : EvalMaxDistanceAlongParameter | |
501 | //purpose : | |
502 | //======================================================================= | |
503 | ||
504 | void GeomLib::EvalMaxDistanceAlongParameter(const Adaptor3d_Curve& ACurve, | |
505 | const Adaptor3d_Curve& AReferenceCurve, | |
506 | const Standard_Real Tolerance, | |
507 | const TColStd_Array1OfReal& Parameters, | |
508 | Standard_Real& MaxDistance) | |
509 | { | |
510 | Standard_Integer ii ; | |
511 | Standard_Real max_squared = 0.0e0, | |
512 | tolerance_squared = Tolerance * Tolerance, | |
513 | other_parameter, | |
514 | para_tolerance, | |
515 | local_distance_squared ; | |
516 | gp_Pnt Point1 ; | |
517 | gp_Pnt Point2 ; | |
518 | ||
519 | ||
520 | ||
521 | para_tolerance = | |
522 | AReferenceCurve.Resolution(Tolerance) ; | |
523 | other_parameter = Parameters(Parameters.Lower()) ; | |
524 | ACurve.D0(other_parameter, | |
525 | Point1) ; | |
526 | Extrema_LocateExtPC a_projector(Point1, | |
527 | AReferenceCurve, | |
528 | other_parameter, | |
529 | para_tolerance) ; | |
530 | for (ii = Parameters.Lower() ; ii <= Parameters.Upper() ; ii++) { | |
531 | ACurve.D0(Parameters(ii), | |
532 | Point1) ; | |
533 | AReferenceCurve.D0(Parameters(ii), | |
534 | Point2) ; | |
535 | local_distance_squared = | |
536 | Point1.SquareDistance (Point2) ; | |
537 | ||
538 | local_distance_squared = | |
539 | Point1.SquareDistance (Point2) ; | |
540 | ||
541 | ||
542 | if (local_distance_squared > tolerance_squared) { | |
543 | ||
544 | ||
545 | a_projector.Perform(Point1, | |
546 | other_parameter) ; | |
547 | if (a_projector.IsDone()) { | |
548 | other_parameter = | |
549 | a_projector.Point().Parameter() ; | |
550 | AReferenceCurve.D0(other_parameter, | |
551 | Point2) ; | |
552 | local_distance_squared = | |
553 | Point1.SquareDistance (Point2) ; | |
554 | } | |
555 | else { | |
556 | local_distance_squared = 0.0e0 ; | |
557 | other_parameter = Parameters(ii) ; | |
558 | } | |
559 | } | |
560 | else { | |
561 | other_parameter = Parameters(ii) ; | |
562 | } | |
563 | ||
564 | ||
565 | max_squared = Max(max_squared,local_distance_squared) ; | |
566 | } | |
567 | if (max_squared > tolerance_squared) { | |
568 | MaxDistance = sqrt(max_squared) ; | |
569 | } | |
570 | else { | |
571 | MaxDistance = Tolerance ; | |
572 | } | |
573 | } | |
574 | ||
575 | ||
576 | ||
577 | // Aliases: | |
578 | ||
579 | // Global data definitions: | |
580 | ||
581 | // Methods : | |
582 | ||
583 | ||
584 | //======================================================================= | |
585 | //function : To3d | |
586 | //purpose : | |
587 | //======================================================================= | |
588 | ||
589 | Handle(Geom_Curve) GeomLib::To3d (const gp_Ax2& Position, | |
590 | const Handle(Geom2d_Curve)& Curve2d ) { | |
591 | Handle(Geom_Curve) Curve3d; | |
592 | Handle(Standard_Type) KindOfCurve = Curve2d->DynamicType(); | |
593 | ||
594 | if (KindOfCurve == STANDARD_TYPE (Geom2d_TrimmedCurve)) { | |
595 | Handle(Geom2d_TrimmedCurve) Ct = | |
596 | Handle(Geom2d_TrimmedCurve)::DownCast(Curve2d); | |
597 | Standard_Real U1 = Ct->FirstParameter (); | |
598 | Standard_Real U2 = Ct->LastParameter (); | |
599 | Handle(Geom2d_Curve) CBasis2d = Ct->BasisCurve(); | |
600 | Handle(Geom_Curve) CC = GeomLib::To3d(Position, CBasis2d); | |
601 | Curve3d = new Geom_TrimmedCurve (CC, U1, U2); | |
602 | } | |
603 | else if (KindOfCurve == STANDARD_TYPE (Geom2d_OffsetCurve)) { | |
604 | Handle(Geom2d_OffsetCurve) Co = | |
605 | Handle(Geom2d_OffsetCurve)::DownCast(Curve2d); | |
606 | Standard_Real Offset = Co->Offset(); | |
607 | Handle(Geom2d_Curve) CBasis2d = Co->BasisCurve(); | |
608 | Handle(Geom_Curve) CC = GeomLib::To3d(Position, CBasis2d); | |
609 | Curve3d = new Geom_OffsetCurve (CC, Offset, Position.Direction()); | |
610 | } | |
611 | else if (KindOfCurve == STANDARD_TYPE (Geom2d_BezierCurve)) { | |
612 | Handle(Geom2d_BezierCurve) CBez2d = | |
613 | Handle(Geom2d_BezierCurve)::DownCast (Curve2d); | |
614 | Standard_Integer Nbpoles = CBez2d->NbPoles (); | |
615 | TColgp_Array1OfPnt2d Poles2d (1, Nbpoles); | |
616 | CBez2d->Poles (Poles2d); | |
617 | TColgp_Array1OfPnt Poles3d (1, Nbpoles); | |
618 | for (Standard_Integer i = 1; i <= Nbpoles; i++) { | |
619 | Poles3d (i) = ElCLib::To3d (Position, Poles2d (i)); | |
620 | } | |
621 | Handle(Geom_BezierCurve) CBez3d; | |
622 | if (CBez2d->IsRational()) { | |
623 | TColStd_Array1OfReal TheWeights (1, Nbpoles); | |
624 | CBez2d->Weights (TheWeights); | |
625 | CBez3d = new Geom_BezierCurve (Poles3d, TheWeights); | |
626 | } | |
627 | else { | |
628 | CBez3d = new Geom_BezierCurve (Poles3d); | |
629 | } | |
630 | Curve3d = CBez3d; | |
631 | } | |
632 | else if (KindOfCurve == STANDARD_TYPE (Geom2d_BSplineCurve)) { | |
633 | Handle(Geom2d_BSplineCurve) CBSpl2d = | |
634 | Handle(Geom2d_BSplineCurve)::DownCast (Curve2d); | |
635 | Standard_Integer Nbpoles = CBSpl2d->NbPoles (); | |
636 | Standard_Integer Nbknots = CBSpl2d->NbKnots (); | |
637 | Standard_Integer TheDegree = CBSpl2d->Degree (); | |
638 | Standard_Boolean IsPeriodic = CBSpl2d->IsPeriodic(); | |
639 | TColgp_Array1OfPnt2d Poles2d (1, Nbpoles); | |
640 | CBSpl2d->Poles (Poles2d); | |
641 | TColgp_Array1OfPnt Poles3d (1, Nbpoles); | |
642 | for (Standard_Integer i = 1; i <= Nbpoles; i++) { | |
643 | Poles3d (i) = ElCLib::To3d (Position, Poles2d (i)); | |
644 | } | |
645 | TColStd_Array1OfReal TheKnots (1, Nbknots); | |
646 | TColStd_Array1OfInteger TheMults (1, Nbknots); | |
647 | CBSpl2d->Knots (TheKnots); | |
648 | CBSpl2d->Multiplicities (TheMults); | |
649 | Handle(Geom_BSplineCurve) CBSpl3d; | |
650 | if (CBSpl2d->IsRational()) { | |
651 | TColStd_Array1OfReal TheWeights (1, Nbpoles); | |
652 | CBSpl2d->Weights (TheWeights); | |
653 | CBSpl3d = new Geom_BSplineCurve (Poles3d, TheWeights, TheKnots, TheMults, TheDegree, IsPeriodic); | |
654 | } | |
655 | else { | |
656 | CBSpl3d = new Geom_BSplineCurve (Poles3d, TheKnots, TheMults, TheDegree, IsPeriodic); | |
657 | } | |
658 | Curve3d = CBSpl3d; | |
659 | } | |
660 | else if (KindOfCurve == STANDARD_TYPE (Geom2d_Line)) { | |
661 | Handle(Geom2d_Line) Line2d = Handle(Geom2d_Line)::DownCast (Curve2d); | |
662 | gp_Lin2d L2d = Line2d->Lin2d(); | |
663 | gp_Lin L3d = ElCLib::To3d (Position, L2d); | |
664 | Handle(Geom_Line) GeomL3d = new Geom_Line (L3d); | |
665 | Curve3d = GeomL3d; | |
666 | } | |
667 | else if (KindOfCurve == STANDARD_TYPE (Geom2d_Circle)) { | |
668 | Handle(Geom2d_Circle) Circle2d = | |
669 | Handle(Geom2d_Circle)::DownCast (Curve2d); | |
670 | gp_Circ2d C2d = Circle2d->Circ2d(); | |
671 | gp_Circ C3d = ElCLib::To3d (Position, C2d); | |
672 | Handle(Geom_Circle) GeomC3d = new Geom_Circle (C3d); | |
673 | Curve3d = GeomC3d; | |
674 | } | |
675 | else if (KindOfCurve == STANDARD_TYPE (Geom2d_Ellipse)) { | |
676 | Handle(Geom2d_Ellipse) Ellipse2d = | |
677 | Handle(Geom2d_Ellipse)::DownCast (Curve2d); | |
678 | gp_Elips2d E2d = Ellipse2d->Elips2d (); | |
679 | gp_Elips E3d = ElCLib::To3d (Position, E2d); | |
680 | Handle(Geom_Ellipse) GeomE3d = new Geom_Ellipse (E3d); | |
681 | Curve3d = GeomE3d; | |
682 | } | |
683 | else if (KindOfCurve == STANDARD_TYPE (Geom2d_Parabola)) { | |
684 | Handle(Geom2d_Parabola) Parabola2d = | |
685 | Handle(Geom2d_Parabola)::DownCast (Curve2d); | |
686 | gp_Parab2d Prb2d = Parabola2d->Parab2d (); | |
687 | gp_Parab Prb3d = ElCLib::To3d (Position, Prb2d); | |
688 | Handle(Geom_Parabola) GeomPrb3d = new Geom_Parabola (Prb3d); | |
689 | Curve3d = GeomPrb3d; | |
690 | } | |
691 | else if (KindOfCurve == STANDARD_TYPE (Geom2d_Hyperbola)) { | |
692 | Handle(Geom2d_Hyperbola) Hyperbola2d = | |
693 | Handle(Geom2d_Hyperbola)::DownCast (Curve2d); | |
694 | gp_Hypr2d H2d = Hyperbola2d->Hypr2d (); | |
695 | gp_Hypr H3d = ElCLib::To3d (Position, H2d); | |
696 | Handle(Geom_Hyperbola) GeomH3d = new Geom_Hyperbola (H3d); | |
697 | Curve3d = GeomH3d; | |
698 | } | |
699 | else { | |
700 | Standard_NotImplemented::Raise(); | |
701 | } | |
702 | ||
703 | return Curve3d; | |
704 | } | |
705 | ||
706 | ||
707 | ||
708 | //======================================================================= | |
709 | //function : GTransform | |
710 | //purpose : | |
711 | //======================================================================= | |
712 | ||
713 | Handle(Geom2d_Curve) GeomLib::GTransform(const Handle(Geom2d_Curve)& Curve, | |
714 | const gp_GTrsf2d& GTrsf) | |
715 | { | |
716 | gp_TrsfForm Form = GTrsf.Form(); | |
717 | ||
718 | if ( Form != gp_Other) { | |
719 | ||
720 | // Alors, la GTrsf est en fait une Trsf. | |
721 | // La geometrie des courbes sera alors inchangee. | |
722 | ||
723 | Handle(Geom2d_Curve) C = | |
724 | Handle(Geom2d_Curve)::DownCast(Curve->Transformed(GTrsf.Trsf2d())); | |
725 | return C; | |
726 | } | |
727 | else { | |
728 | ||
729 | // Alors, la GTrsf est une other Transformation. | |
730 | // La geometrie des courbes est alors changee, et les conics devront | |
731 | // etre converties en BSplines. | |
732 | ||
733 | Handle(Standard_Type) TheType = Curve->DynamicType(); | |
734 | ||
735 | if ( TheType == STANDARD_TYPE(Geom2d_TrimmedCurve)) { | |
736 | ||
737 | // On va recurer sur la BasisCurve | |
738 | ||
739 | Handle(Geom2d_TrimmedCurve) C = | |
740 | Handle(Geom2d_TrimmedCurve)::DownCast(Curve->Copy()); | |
741 | ||
742 | Handle(Standard_Type) TheBasisType = (C->BasisCurve())->DynamicType(); | |
743 | ||
744 | if (TheBasisType == STANDARD_TYPE(Geom2d_BSplineCurve) || | |
745 | TheBasisType == STANDARD_TYPE(Geom2d_BezierCurve) ) { | |
746 | ||
747 | // Dans ces cas le parametrage est conserve sur la courbe transformee | |
748 | // on peut donc la trimmer avec les parametres de la courbe de base. | |
749 | ||
750 | Standard_Real U1 = C->FirstParameter(); | |
751 | Standard_Real U2 = C->LastParameter(); | |
752 | ||
753 | Handle(Geom2d_TrimmedCurve) result = | |
754 | new Geom2d_TrimmedCurve(GTransform(C->BasisCurve(), GTrsf), U1,U2); | |
755 | return result; | |
756 | } | |
757 | else if ( TheBasisType == STANDARD_TYPE(Geom2d_Line)) { | |
758 | ||
759 | // Dans ce cas, le parametrage n`est plus conserve. | |
760 | // Il faut recalculer les parametres de Trimming sur la courbe | |
761 | // resultante. ( Calcul par projection ( ElCLib) des points debut | |
762 | // et fin transformes) | |
763 | ||
764 | Handle(Geom2d_Line) L = | |
765 | Handle(Geom2d_Line)::DownCast(GTransform(C->BasisCurve(), GTrsf)); | |
766 | gp_Lin2d Lin = L->Lin2d(); | |
767 | ||
768 | gp_Pnt2d P1 = C->StartPoint(); | |
769 | gp_Pnt2d P2 = C->EndPoint(); | |
770 | P1.SetXY(GTrsf.Transformed(P1.XY())); | |
771 | P2.SetXY(GTrsf.Transformed(P2.XY())); | |
772 | Standard_Real U1 = ElCLib::Parameter(Lin,P1); | |
773 | Standard_Real U2 = ElCLib::Parameter(Lin,P2); | |
774 | ||
775 | Handle(Geom2d_TrimmedCurve) result = | |
776 | new Geom2d_TrimmedCurve(L,U1,U2); | |
777 | return result; | |
778 | } | |
779 | else if (TheBasisType == STANDARD_TYPE(Geom2d_Circle) || | |
780 | TheBasisType == STANDARD_TYPE(Geom2d_Ellipse) || | |
781 | TheBasisType == STANDARD_TYPE(Geom2d_Parabola) || | |
782 | TheBasisType == STANDARD_TYPE(Geom2d_Hyperbola) ) { | |
783 | ||
784 | // Dans ces cas, la geometrie de la courbe n`est pas conservee | |
785 | // on la convertir en BSpline avant de lui appliquer la Trsf. | |
786 | ||
787 | Handle(Geom2d_BSplineCurve) BS = | |
788 | Geom2dConvert::CurveToBSplineCurve(C); | |
789 | return GTransform(BS,GTrsf); | |
790 | } | |
791 | else { | |
792 | ||
793 | // La transformee d`une OffsetCurve vaut ????? Sais pas faire !! | |
794 | ||
795 | Handle(Geom2d_Curve) dummy; | |
796 | return dummy; | |
797 | } | |
798 | } | |
799 | else if ( TheType == STANDARD_TYPE(Geom2d_Line)) { | |
800 | ||
801 | Handle(Geom2d_Line) L = | |
802 | Handle(Geom2d_Line)::DownCast(Curve->Copy()); | |
803 | gp_Lin2d Lin = L->Lin2d(); | |
804 | gp_Pnt2d P = Lin.Location(); | |
805 | gp_Pnt2d PP = L->Value(10.); // pourquoi pas !! | |
806 | P.SetXY(GTrsf.Transformed(P.XY())); | |
807 | PP.SetXY(GTrsf.Transformed(PP.XY())); | |
808 | L->SetLocation(P); | |
809 | gp_Vec2d V(P,PP); | |
810 | L->SetDirection(gp_Dir2d(V)); | |
811 | return L; | |
812 | } | |
813 | else if ( TheType == STANDARD_TYPE(Geom2d_BezierCurve)) { | |
814 | ||
815 | // Les GTrsf etant des operation lineaires, la transformee d`une courbe | |
816 | // a poles est la courbe dont les poles sont la transformee des poles | |
817 | // de la courbe de base. | |
818 | ||
819 | Handle(Geom2d_BezierCurve) C = | |
820 | Handle(Geom2d_BezierCurve)::DownCast(Curve->Copy()); | |
821 | Standard_Integer NbPoles = C->NbPoles(); | |
822 | TColgp_Array1OfPnt2d Poles(1,NbPoles); | |
823 | C->Poles(Poles); | |
824 | for ( Standard_Integer i = 1; i <= NbPoles; i++) { | |
825 | Poles(i).SetXY(GTrsf.Transformed(Poles(i).XY())); | |
826 | C->SetPole(i,Poles(i)); | |
827 | } | |
828 | return C; | |
829 | } | |
830 | else if ( TheType == STANDARD_TYPE(Geom2d_BSplineCurve)) { | |
831 | ||
832 | // Voir commentaire pour les Bezier. | |
833 | ||
834 | Handle(Geom2d_BSplineCurve) C = | |
835 | Handle(Geom2d_BSplineCurve)::DownCast(Curve->Copy()); | |
836 | Standard_Integer NbPoles = C->NbPoles(); | |
837 | TColgp_Array1OfPnt2d Poles(1,NbPoles); | |
838 | C->Poles(Poles); | |
839 | for ( Standard_Integer i = 1; i <= NbPoles; i++) { | |
840 | Poles(i).SetXY(GTrsf.Transformed(Poles(i).XY())); | |
841 | C->SetPole(i,Poles(i)); | |
842 | } | |
843 | return C; | |
844 | } | |
845 | else if ( TheType == STANDARD_TYPE(Geom2d_Circle) || | |
846 | TheType == STANDARD_TYPE(Geom2d_Ellipse) ) { | |
847 | ||
848 | // Dans ces cas, la geometrie de la courbe n`est pas conservee | |
849 | // on la convertir en BSpline avant de lui appliquer la Trsf. | |
850 | ||
851 | Handle(Geom2d_BSplineCurve) C = | |
852 | Geom2dConvert::CurveToBSplineCurve(Curve); | |
853 | return GTransform(C, GTrsf); | |
854 | } | |
855 | else if ( TheType == STANDARD_TYPE(Geom2d_Parabola) || | |
856 | TheType == STANDARD_TYPE(Geom2d_Hyperbola) || | |
857 | TheType == STANDARD_TYPE(Geom2d_OffsetCurve) ) { | |
858 | ||
859 | // On ne sait pas faire : return a null Handle; | |
860 | ||
861 | Handle(Geom2d_Curve) dummy; | |
862 | return dummy; | |
863 | } | |
864 | } | |
865 | ||
866 | Handle(Geom2d_Curve) WNT__; // portage Windows. | |
867 | return WNT__; | |
868 | } | |
869 | ||
870 | ||
871 | //======================================================================= | |
872 | //function : SameRange | |
873 | //purpose : | |
874 | //======================================================================= | |
875 | void GeomLib::SameRange(const Standard_Real Tolerance, | |
876 | const Handle(Geom2d_Curve)& CurvePtr, | |
877 | const Standard_Real FirstOnCurve, | |
878 | const Standard_Real LastOnCurve, | |
879 | const Standard_Real RequestedFirst, | |
880 | const Standard_Real RequestedLast, | |
881 | Handle(Geom2d_Curve)& NewCurvePtr) | |
882 | { | |
883 | if(CurvePtr.IsNull()) Standard_Failure::Raise(); | |
884 | if (Abs(LastOnCurve - RequestedLast) <= Tolerance && | |
54f91e03 | 885 | Abs(FirstOnCurve - RequestedFirst) <= Tolerance) |
886 | { | |
887 | NewCurvePtr = CurvePtr; | |
888 | return; | |
7fd59977 | 889 | } |
890 | ||
891 | // the parametrisation lentgh must at least be the same. | |
892 | if (Abs(LastOnCurve - FirstOnCurve - RequestedLast + RequestedFirst) | |
54f91e03 | 893 | <= Tolerance) |
894 | { | |
895 | if (CurvePtr->IsKind(STANDARD_TYPE(Geom2d_Line))) | |
896 | { | |
7fd59977 | 897 | Handle(Geom2d_Line) Line = |
54f91e03 | 898 | Handle(Geom2d_Line)::DownCast(CurvePtr->Copy()); |
7fd59977 | 899 | Standard_Real dU = FirstOnCurve - RequestedFirst; |
900 | gp_Dir2d D = Line->Direction() ; | |
901 | Line->Translate(dU * gp_Vec2d(D)); | |
902 | NewCurvePtr = Line; | |
903 | } | |
54f91e03 | 904 | else if (CurvePtr->IsKind(STANDARD_TYPE(Geom2d_Circle))) |
905 | { | |
7fd59977 | 906 | gp_Trsf2d Trsf; |
907 | NewCurvePtr = Handle(Geom2d_Curve)::DownCast(CurvePtr->Copy()); | |
908 | Handle(Geom2d_Circle) Circ = | |
54f91e03 | 909 | Handle(Geom2d_Circle)::DownCast(NewCurvePtr); |
7fd59977 | 910 | gp_Pnt2d P = Circ->Location(); |
911 | Standard_Real dU; | |
912 | if (Circ->Circ2d().IsDirect()) { | |
54f91e03 | 913 | dU = FirstOnCurve - RequestedFirst; |
7fd59977 | 914 | } |
915 | else { | |
54f91e03 | 916 | dU = RequestedFirst - FirstOnCurve; |
7fd59977 | 917 | } |
918 | Trsf.SetRotation(P,dU); | |
919 | NewCurvePtr->Transform(Trsf) ; | |
920 | } | |
54f91e03 | 921 | else if (CurvePtr->IsKind(STANDARD_TYPE(Geom2d_TrimmedCurve))) |
922 | { | |
7fd59977 | 923 | Handle(Geom2d_TrimmedCurve) TC = |
54f91e03 | 924 | Handle(Geom2d_TrimmedCurve)::DownCast(CurvePtr); |
7fd59977 | 925 | GeomLib::SameRange(Tolerance, |
54f91e03 | 926 | TC->BasisCurve(), |
927 | FirstOnCurve , LastOnCurve, | |
928 | RequestedFirst, RequestedLast, | |
929 | NewCurvePtr); | |
7fd59977 | 930 | NewCurvePtr = new Geom2d_TrimmedCurve( NewCurvePtr, RequestedFirst, RequestedLast ); |
931 | } | |
54f91e03 | 932 | // |
933 | // attention a des problemes de limitation : utiliser le MEME test que dans | |
934 | // Geom2d_TrimmedCurve::SetTrim car sinon comme on risque de relimite sur | |
935 | // RequestedFirst et RequestedLast on aura un probleme | |
936 | // | |
937 | // | |
7fd59977 | 938 | else if (Abs(LastOnCurve - FirstOnCurve) > Precision::PConfusion() || |
54f91e03 | 939 | Abs(RequestedLast + RequestedFirst) > Precision::PConfusion()) |
940 | { | |
941 | ||
7fd59977 | 942 | Handle(Geom2d_TrimmedCurve) TC = |
54f91e03 | 943 | new Geom2d_TrimmedCurve(CurvePtr,FirstOnCurve,LastOnCurve); |
944 | ||
7fd59977 | 945 | Handle(Geom2d_BSplineCurve) BS = |
54f91e03 | 946 | Geom2dConvert::CurveToBSplineCurve(TC); |
7fd59977 | 947 | TColStd_Array1OfReal Knots(1,BS->NbKnots()); |
948 | BS->Knots(Knots); | |
54f91e03 | 949 | |
7fd59977 | 950 | BSplCLib::Reparametrize(RequestedFirst,RequestedLast,Knots); |
54f91e03 | 951 | |
7fd59977 | 952 | BS->SetKnots(Knots); |
953 | NewCurvePtr = BS; | |
954 | } | |
7fd59977 | 955 | } |
54f91e03 | 956 | else |
957 | { // On segmente le resultat | |
958 | Standard_Real Udeb = Max(CurvePtr->FirstParameter(), FirstOnCurve); | |
959 | Standard_Real Ufin = Min(CurvePtr->LastParameter(), LastOnCurve); | |
7fd59977 | 960 | Handle(Geom2d_TrimmedCurve) TC = |
54f91e03 | 961 | new Geom2d_TrimmedCurve( CurvePtr, Udeb, Ufin ); |
905522ee | 962 | // |
7fd59977 | 963 | Handle(Geom2d_BSplineCurve) BS = |
964 | Geom2dConvert::CurveToBSplineCurve(TC); | |
7fd59977 | 965 | TColStd_Array1OfReal Knots(1,BS->NbKnots()); |
966 | BS->Knots(Knots); | |
54f91e03 | 967 | |
7fd59977 | 968 | BSplCLib::Reparametrize(RequestedFirst,RequestedLast,Knots); |
54f91e03 | 969 | |
7fd59977 | 970 | BS->SetKnots(Knots); |
971 | NewCurvePtr = BS; | |
972 | } | |
973 | } | |
974 | ||
975 | //======================================================================= | |
976 | //class : GeomLib_CurveOnSurfaceEvaluator | |
977 | //purpose: The evaluator for the Curve 3D building | |
978 | //======================================================================= | |
979 | ||
980 | class GeomLib_CurveOnSurfaceEvaluator : public AdvApprox_EvaluatorFunction | |
981 | { | |
982 | public: | |
983 | GeomLib_CurveOnSurfaceEvaluator (Adaptor3d_CurveOnSurface& theCurveOnSurface, | |
984 | Standard_Real theFirst, Standard_Real theLast) | |
985 | : CurveOnSurface(theCurveOnSurface), FirstParam(theFirst), LastParam(theLast) {} | |
986 | ||
987 | virtual void Evaluate (Standard_Integer *Dimension, | |
988 | Standard_Real StartEnd[2], | |
989 | Standard_Real *Parameter, | |
990 | Standard_Integer *DerivativeRequest, | |
991 | Standard_Real *Result, // [Dimension] | |
992 | Standard_Integer *ErrorCode); | |
993 | ||
994 | private: | |
995 | Adaptor3d_CurveOnSurface& CurveOnSurface; | |
996 | Standard_Real FirstParam; | |
997 | Standard_Real LastParam; | |
998 | ||
999 | Handle(Adaptor3d_HCurve) TrimCurve; | |
1000 | }; | |
1001 | ||
1002 | void GeomLib_CurveOnSurfaceEvaluator::Evaluate (Standard_Integer *,/*Dimension*/ | |
1003 | Standard_Real DebutFin[2], | |
1004 | Standard_Real *Parameter, | |
1005 | Standard_Integer *DerivativeRequest, | |
1006 | Standard_Real *Result,// [Dimension] | |
1007 | Standard_Integer *ReturnCode) | |
a7f510bf | 1008 | { |
1009 | gp_Pnt Point; | |
7fd59977 | 1010 | |
1011 | //Gestion des positionnements gauche / droite | |
1012 | if ((DebutFin[0] != FirstParam) || (DebutFin[1] != LastParam)) | |
1013 | { | |
1014 | TrimCurve = CurveOnSurface.Trim(DebutFin[0], DebutFin[1], Precision::PConfusion()); | |
1015 | FirstParam = DebutFin[0]; | |
1016 | LastParam = DebutFin[1]; | |
1017 | } | |
1018 | ||
1019 | //Positionemment | |
1020 | if (*DerivativeRequest == 0) | |
1021 | { | |
1022 | TrimCurve->D0((*Parameter), Point) ; | |
1023 | ||
a7f510bf | 1024 | for (Standard_Integer ii = 0 ; ii < 3 ; ii++) |
7fd59977 | 1025 | Result[ii] = Point.Coord(ii + 1); |
1026 | } | |
1027 | if (*DerivativeRequest == 1) | |
1028 | { | |
1029 | gp_Vec Vector; | |
1030 | TrimCurve->D1((*Parameter), Point, Vector); | |
a7f510bf | 1031 | for (Standard_Integer ii = 0 ; ii < 3 ; ii++) |
7fd59977 | 1032 | Result[ii] = Vector.Coord(ii + 1) ; |
1033 | } | |
1034 | if (*DerivativeRequest == 2) | |
1035 | { | |
1036 | gp_Vec Vector, VecBis; | |
1037 | TrimCurve->D2((*Parameter), Point, VecBis, Vector); | |
a7f510bf | 1038 | for (Standard_Integer ii = 0 ; ii < 3 ; ii++) |
7fd59977 | 1039 | Result[ii] = Vector.Coord(ii + 1) ; |
1040 | } | |
1041 | ReturnCode[0] = 0; | |
1042 | } | |
1043 | ||
1044 | //======================================================================= | |
1045 | //function : BuildCurve3d | |
1046 | //purpose : | |
1047 | //======================================================================= | |
1048 | ||
1049 | void GeomLib::BuildCurve3d(const Standard_Real Tolerance, | |
1050 | Adaptor3d_CurveOnSurface& Curve, | |
1051 | const Standard_Real FirstParameter, | |
1052 | const Standard_Real LastParameter, | |
857ffd5e | 1053 | Handle(Geom_Curve)& NewCurvePtr, |
7fd59977 | 1054 | Standard_Real& MaxDeviation, |
1055 | Standard_Real& AverageDeviation, | |
1056 | const GeomAbs_Shape Continuity, | |
1057 | const Standard_Integer MaxDegree, | |
1058 | const Standard_Integer MaxSegment) | |
1059 | ||
1060 | { | |
1061 | ||
1062 | ||
1063 | Standard_Integer curve_not_computed = 1 ; | |
1064 | MaxDeviation = 0.0e0 ; | |
1065 | AverageDeviation = 0.0e0 ; | |
c5f3a425 | 1066 | Handle(GeomAdaptor_HSurface) geom_adaptor_surface_ptr (Handle(GeomAdaptor_HSurface)::DownCast(Curve.GetSurface()) ); |
1067 | Handle(Geom2dAdaptor_HCurve) geom_adaptor_curve_ptr (Handle(Geom2dAdaptor_HCurve)::DownCast(Curve.GetCurve()) ); | |
7fd59977 | 1068 | |
1069 | if (! geom_adaptor_curve_ptr.IsNull() && | |
1070 | ! geom_adaptor_surface_ptr.IsNull()) { | |
1071 | Handle(Geom_Plane) P ; | |
1072 | const GeomAdaptor_Surface & geom_surface = | |
1073 | * (GeomAdaptor_Surface *) &geom_adaptor_surface_ptr->Surface() ; | |
1074 | ||
1075 | Handle(Geom_RectangularTrimmedSurface) RT = | |
1076 | Handle(Geom_RectangularTrimmedSurface):: | |
1077 | DownCast(geom_surface.Surface()); | |
1078 | if ( RT.IsNull()) { | |
1079 | P = Handle(Geom_Plane)::DownCast(geom_surface.Surface()); | |
1080 | } | |
1081 | else { | |
1082 | P = Handle(Geom_Plane)::DownCast(RT->BasisSurface()); | |
1083 | } | |
1084 | ||
1085 | ||
1086 | if (! P.IsNull()) { | |
1087 | // compute the 3d curve | |
1088 | gp_Ax2 axes = P->Position().Ax2(); | |
1089 | const Geom2dAdaptor_Curve & geom2d_curve = | |
1090 | * (Geom2dAdaptor_Curve *) & geom_adaptor_curve_ptr->Curve2d() ; | |
1091 | NewCurvePtr = | |
1092 | GeomLib::To3d(axes, | |
1093 | geom2d_curve.Curve()); | |
1094 | curve_not_computed = 0 ; | |
1095 | ||
1096 | } | |
1097 | } | |
1098 | if (curve_not_computed) { | |
1099 | ||
1100 | // | |
1101 | // Entree | |
1102 | // | |
1103 | Handle(TColStd_HArray1OfReal) Tolerance1DPtr,Tolerance2DPtr; | |
1104 | Handle(TColStd_HArray1OfReal) Tolerance3DPtr = | |
1105 | new TColStd_HArray1OfReal(1,1) ; | |
1106 | Tolerance3DPtr->SetValue(1,Tolerance); | |
1107 | ||
1108 | // Recherche des discontinuitees | |
1109 | Standard_Integer NbIntervalC2 = Curve.NbIntervals(GeomAbs_C2); | |
1110 | TColStd_Array1OfReal Param_de_decoupeC2 (1, NbIntervalC2+1); | |
1111 | Curve.Intervals(Param_de_decoupeC2, GeomAbs_C2); | |
1112 | ||
1113 | Standard_Integer NbIntervalC3 = Curve.NbIntervals(GeomAbs_C3); | |
1114 | TColStd_Array1OfReal Param_de_decoupeC3 (1, NbIntervalC3+1); | |
1115 | Curve.Intervals(Param_de_decoupeC3, GeomAbs_C3); | |
1116 | ||
1117 | // Note extension of the parameteric range | |
1118 | // Pour forcer le Trim au premier appel de l'evaluateur | |
1119 | GeomLib_CurveOnSurfaceEvaluator ev (Curve, FirstParameter - 1., LastParameter + 1.); | |
1120 | ||
1121 | // Approximation avec decoupe preferentiel | |
1122 | AdvApprox_PrefAndRec Preferentiel(Param_de_decoupeC2, | |
1123 | Param_de_decoupeC3); | |
1124 | AdvApprox_ApproxAFunction anApproximator(0, | |
1125 | 0, | |
1126 | 1, | |
1127 | Tolerance1DPtr, | |
1128 | Tolerance2DPtr, | |
1129 | Tolerance3DPtr, | |
1130 | FirstParameter, | |
1131 | LastParameter, | |
1132 | Continuity, | |
1133 | MaxDegree, | |
1134 | MaxSegment, | |
1135 | ev, | |
1136 | // CurveOnSurfaceEvaluator, | |
1137 | Preferentiel) ; | |
1138 | ||
1139 | if (anApproximator.HasResult()) { | |
1140 | GeomLib_MakeCurvefromApprox | |
1141 | aCurveBuilder(anApproximator) ; | |
1142 | ||
1143 | Handle(Geom_BSplineCurve) aCurvePtr = | |
1144 | aCurveBuilder.Curve(1) ; | |
1145 | // On rend les resultats de l'approx | |
1146 | MaxDeviation = anApproximator.MaxError(3,1) ; | |
1147 | AverageDeviation = anApproximator.AverageError(3,1) ; | |
1148 | NewCurvePtr = aCurvePtr ; | |
1149 | } | |
1150 | } | |
1151 | } | |
1152 | ||
1153 | //======================================================================= | |
1154 | //function : AdjustExtremity | |
1155 | //purpose : | |
1156 | //======================================================================= | |
1157 | ||
1158 | void GeomLib::AdjustExtremity(Handle(Geom_BoundedCurve)& Curve, | |
1159 | const gp_Pnt& P1, | |
1160 | const gp_Pnt& P2, | |
1161 | const gp_Vec& T1, | |
1162 | const gp_Vec& T2) | |
1163 | { | |
1164 | // il faut Convertir l'entree (en preservant si possible le parametrage) | |
1165 | Handle(Geom_BSplineCurve) aIn, aDef; | |
1166 | aIn = GeomConvert::CurveToBSplineCurve(Curve, Convert_QuasiAngular); | |
1167 | ||
1168 | Standard_Integer ii, jj; | |
1169 | gp_Pnt P; | |
1170 | gp_Vec V, Vtan, DV; | |
1171 | TColgp_Array1OfPnt PolesDef(1,4), Coeffs(1,4); | |
1172 | TColStd_Array1OfReal FK(1, 8); | |
1173 | TColStd_Array1OfReal Ti(1, 4); | |
1174 | TColStd_Array1OfInteger Contact(1, 4); | |
1175 | ||
1176 | Ti(1) = Ti(2) = aIn->FirstParameter(); | |
1177 | Ti(3) = Ti(4) = aIn->LastParameter(); | |
1178 | Contact(1) = Contact(3) = 0; | |
1179 | Contact(2) = Contact(4) = 1; | |
1180 | for (ii=1; ii<=4; ii++) { | |
1181 | FK(ii) = aIn->FirstParameter(); | |
1182 | FK(ii) = aIn->LastParameter(); | |
1183 | } | |
1184 | ||
1185 | // Calculs des contraintes de deformations | |
1186 | aIn->D1(Ti(1), P, V); | |
1187 | PolesDef(1).ChangeCoord() = P1.XYZ()-P.XYZ(); | |
1188 | Vtan = T1; | |
1189 | Vtan.Normalize(); | |
1190 | DV = Vtan * (Vtan * V) - V; | |
1191 | PolesDef(2).ChangeCoord() = (Ti(4)-Ti(1))*DV.XYZ(); | |
1192 | ||
1193 | aIn->D1(Ti(4), P, V); | |
1194 | PolesDef(3).ChangeCoord() = P2.XYZ()-P.XYZ(); | |
1195 | Vtan = T2; | |
1196 | Vtan.Normalize(); | |
1197 | DV = Vtan * (Vtan * V) - V; | |
1198 | PolesDef(4).ChangeCoord() = (Ti(4)-Ti(1))* DV.XYZ(); | |
1199 | ||
1200 | // Interpolation des contraintes | |
1201 | math_Matrix Mat(1, 4, 1, 4); | |
1202 | if (!PLib::HermiteCoefficients(0., 1., 1, 1, Mat)) | |
1203 | Standard_ConstructionError::Raise(); | |
1204 | ||
1205 | for (jj=1; jj<=4; jj++) { | |
1206 | gp_XYZ aux(0.,0.,0.); | |
1207 | for (ii=1; ii<=4; ii++) { | |
1208 | aux.SetLinearForm(Mat(ii,jj), PolesDef(ii).XYZ(), aux); | |
1209 | } | |
1210 | Coeffs(jj).SetXYZ(aux); | |
1211 | } | |
1212 | ||
1213 | PLib::CoefficientsPoles(Coeffs, PLib::NoWeights(), | |
1214 | PolesDef, PLib::NoWeights()); | |
1215 | ||
1216 | // Ajout de la deformation | |
1217 | TColStd_Array1OfReal K(1, 2); | |
1218 | TColStd_Array1OfInteger M(1, 2); | |
1219 | K(1) = Ti(1); | |
1220 | K(2) = Ti(4); | |
1221 | M.Init(4); | |
1222 | ||
1223 | aDef = new (Geom_BSplineCurve) (PolesDef, K, M, 3); | |
1224 | if (aIn->Degree() < 3) aIn->IncreaseDegree(3); | |
1225 | else aDef->IncreaseDegree(aIn->Degree()); | |
1226 | ||
1227 | for (ii=2; ii<aIn->NbKnots(); ii++) { | |
1228 | aDef->InsertKnot(aIn->Knot(ii), aIn->Multiplicity(ii)); | |
1229 | } | |
1230 | ||
1231 | if (aDef->NbPoles() != aIn->NbPoles()) | |
1232 | Standard_ConstructionError::Raise("Inconsistent poles's number"); | |
1233 | ||
1234 | for (ii=1; ii<=aDef->NbPoles(); ii++) { | |
1235 | P = aIn->Pole(ii); | |
1236 | P.ChangeCoord() += aDef->Pole(ii).XYZ(); | |
1237 | aIn->SetPole(ii, P); | |
1238 | } | |
1239 | Curve = aIn; | |
1240 | } | |
1241 | //======================================================================= | |
1242 | //function : ExtendCurveToPoint | |
1243 | //purpose : | |
1244 | //======================================================================= | |
1245 | ||
1246 | void GeomLib::ExtendCurveToPoint(Handle(Geom_BoundedCurve)& Curve, | |
1247 | const gp_Pnt& Point, | |
1248 | const Standard_Integer Continuity, | |
1249 | const Standard_Boolean After) | |
1250 | { | |
1251 | if(Continuity < 1 || Continuity > 3) return; | |
1252 | Standard_Integer size = Continuity + 2; | |
1253 | Standard_Real Ubord, Tol=1.e-6; | |
1254 | math_Matrix MatCoefs(1,size, 1,size); | |
1255 | Standard_Real Lambda, L1; | |
1256 | Standard_Integer ii, jj; | |
1257 | gp_Vec d1, d2, d3; | |
1258 | gp_Pnt p0; | |
1259 | // il faut Convertir l'entree (en preservant si possible le parametrage) | |
1260 | GeomConvert_CompCurveToBSplineCurve Concat(Curve, Convert_QuasiAngular); | |
1261 | ||
1262 | // Les contraintes de constructions | |
1263 | TColgp_Array1OfXYZ Cont(1,size); | |
1264 | if (After) { | |
1265 | Ubord = Curve->LastParameter(); | |
1266 | ||
1267 | } | |
1268 | else { | |
1269 | Ubord = Curve->FirstParameter(); | |
1270 | } | |
1271 | PLib::HermiteCoefficients(0, 1, // Les Bornes | |
1272 | Continuity, 0, // Les Ordres de contraintes | |
1273 | MatCoefs); | |
1274 | ||
1275 | Curve->D3(Ubord, p0, d1, d2, d3); | |
1276 | if (!After) { // Inversion du parametrage | |
1277 | d1 *= -1; | |
1278 | d3 *= -1; | |
1279 | } | |
1280 | ||
1281 | L1 = p0.Distance(Point); | |
1282 | if (L1 > Tol) { | |
1283 | // Lambda est le ratio qu'il faut appliquer a la derive de la courbe | |
1284 | // pour obtenir la derive du prolongement (fixe arbitrairement a la | |
1285 | // longueur du segment bout de la courbe - point cible. | |
1286 | // On essai d'avoir sur le prolongement la vitesse moyenne que l'on | |
1287 | // a sur la courbe. | |
1288 | gp_Vec daux; | |
1289 | gp_Pnt pp; | |
1290 | Standard_Real f= Curve->FirstParameter(), t, dt, norm; | |
1291 | dt = (Curve->LastParameter()-f)/9; | |
1292 | norm = d1.Magnitude(); | |
1293 | for (ii=1, t=f+dt; ii<=8; ii++, t+=dt) { | |
1294 | Curve->D1(t, pp, daux); | |
1295 | norm += daux.Magnitude(); | |
1296 | } | |
1297 | norm /= 9; | |
1298 | dt = d1.Magnitude() / norm; | |
1299 | if ((dt<1.5) && (dt>0.75)) { // Le bord est dans la moyenne on le garde | |
1300 | Lambda = ((Standard_Real)1) / Max (d1.Magnitude() / L1, Tol); | |
1301 | } | |
1302 | else { | |
1303 | Lambda = ((Standard_Real)1) / Max (norm / L1, Tol); | |
1304 | } | |
1305 | } | |
1306 | else { | |
1307 | return; // Pas d'extension | |
1308 | } | |
1309 | ||
1310 | // Optimisation du Lambda | |
1311 | math_Matrix Cons(1, 3, 1, size); | |
1312 | Cons(1,1) = p0.X(); Cons(2,1) = p0.Y(); Cons(3,1) = p0.Z(); | |
1313 | Cons(1,2) = d1.X(); Cons(2,2) = d1.Y(); Cons(3,2) = d1.Z(); | |
1314 | Cons(1,size) = Point.X(); Cons(2,size) = Point.Y(); Cons(3,size) = Point.Z(); | |
1315 | if (Continuity >= 2) { | |
1316 | Cons(1,3) = d2.X(); Cons(2,3) = d2.Y(); Cons(3,3) = d2.Z(); | |
1317 | } | |
1318 | if (Continuity >= 3) { | |
1319 | Cons(1,4) = d3.X(); Cons(2,4) = d3.Y(); Cons(3,4) = d3.Z(); | |
1320 | } | |
1321 | ComputeLambda(Cons, MatCoefs, L1, Lambda); | |
1322 | ||
1323 | // Construction dans la Base Polynomiale | |
1324 | Cont(1) = p0.XYZ(); | |
1325 | Cont(2) = d1.XYZ() * Lambda; | |
1326 | if(Continuity >= 2) Cont(3) = d2.XYZ() * Pow(Lambda,2); | |
1327 | if(Continuity >= 3) Cont(4) = d3.XYZ() * Pow(Lambda,3); | |
1328 | Cont(size) = Point.XYZ(); | |
1329 | ||
1330 | ||
1331 | TColgp_Array1OfPnt ExtrapPoles(1, size); | |
1332 | TColgp_Array1OfPnt ExtraCoeffs(1, size); | |
1333 | ||
1334 | gp_Pnt PNull(0.,0.,0.); | |
1335 | ExtraCoeffs.Init(PNull); | |
1336 | for (ii=1; ii<=size; ii++) { | |
1337 | for (jj=1; jj<=size; jj++) { | |
1338 | ExtraCoeffs(jj).ChangeCoord() += MatCoefs(ii,jj)*Cont(ii); | |
1339 | } | |
1340 | } | |
1341 | ||
1342 | // Convertion Dans la Base de Bernstein | |
1343 | PLib::CoefficientsPoles(ExtraCoeffs, PLib::NoWeights(), | |
1344 | ExtrapPoles, PLib::NoWeights()); | |
1345 | ||
1346 | Handle(Geom_BezierCurve) Bezier = new (Geom_BezierCurve) (ExtrapPoles); | |
1347 | ||
1348 | Standard_Real dist = ExtrapPoles(1).Distance(p0); | |
1349 | Standard_Boolean Ok; | |
1350 | Tol += dist; | |
1351 | ||
1352 | // Concatenation | |
1353 | Ok = Concat.Add(Bezier, Tol, After); | |
1354 | if (!Ok) Standard_ConstructionError::Raise("ExtendCurveToPoint"); | |
1355 | ||
1356 | Curve = Concat.BSplineCurve(); | |
1357 | } | |
1358 | ||
1359 | ||
1360 | //======================================================================= | |
1361 | //function : ExtendKPart | |
1362 | //purpose : Extension par longueur des surfaces cannonique | |
1363 | //======================================================================= | |
1364 | static Standard_Boolean | |
1365 | ExtendKPart(Handle(Geom_RectangularTrimmedSurface)& Surface, | |
1366 | const Standard_Real Length, | |
1367 | const Standard_Boolean InU, | |
1368 | const Standard_Boolean After) | |
1369 | { | |
1370 | ||
1371 | if (Surface.IsNull()) return Standard_False; | |
1372 | ||
1373 | Standard_Boolean Ok=Standard_True; | |
1374 | Standard_Real Uf, Ul, Vf, Vl; | |
1375 | Handle(Geom_Surface) Support = Surface->BasisSurface(); | |
1376 | GeomAbs_SurfaceType Type; | |
1377 | ||
1378 | Surface->Bounds(Uf, Ul, Vf, Vl); | |
1379 | GeomAdaptor_Surface AS(Surface); | |
1380 | Type = AS.GetType(); | |
1381 | ||
1382 | if (InU) { | |
1383 | switch(Type) { | |
1384 | case GeomAbs_Plane : | |
1385 | { | |
1386 | if (After) Ul+=Length; | |
1387 | else Uf-=Length; | |
1388 | Surface = new (Geom_RectangularTrimmedSurface) | |
1389 | (Support, Uf, Ul, Vf, Vl); | |
1390 | break; | |
1391 | } | |
1392 | ||
1393 | default: | |
1394 | Ok = Standard_False; | |
1395 | } | |
1396 | } | |
1397 | else { | |
1398 | switch(Type) { | |
1399 | case GeomAbs_Plane : | |
1400 | case GeomAbs_Cylinder : | |
1401 | case GeomAbs_SurfaceOfExtrusion : | |
1402 | { | |
1403 | if (After) Vl+=Length; | |
1404 | else Vf-=Length; | |
1405 | Surface = new (Geom_RectangularTrimmedSurface) | |
1406 | (Support, Uf, Ul, Vf, Vl); | |
1407 | break; | |
1408 | } | |
1409 | default: | |
1410 | Ok = Standard_False; | |
1411 | } | |
1412 | } | |
1413 | ||
1414 | return Ok; | |
1415 | } | |
1416 | ||
1417 | //======================================================================= | |
1418 | //function : ExtendSurfByLength | |
1419 | //purpose : | |
1420 | //======================================================================= | |
1421 | void GeomLib::ExtendSurfByLength(Handle(Geom_BoundedSurface)& Surface, | |
1422 | const Standard_Real Length, | |
1423 | const Standard_Integer Continuity, | |
1424 | const Standard_Boolean InU, | |
1425 | const Standard_Boolean After) | |
1426 | { | |
1427 | if(Continuity < 0 || Continuity > 3) return; | |
1428 | Standard_Integer Cont = Continuity; | |
1429 | ||
1430 | // Kpart ? | |
1431 | Handle(Geom_RectangularTrimmedSurface) TS = | |
1432 | Handle(Geom_RectangularTrimmedSurface)::DownCast (Surface); | |
1433 | if (ExtendKPart(TS,Length, InU, After) ) { | |
1434 | Surface = TS; | |
1435 | return; | |
1436 | } | |
1437 | ||
1438 | // format BSplineSurface avec un degre suffisant pour la continuite voulue | |
1439 | Handle(Geom_BSplineSurface) BS = | |
1440 | Handle(Geom_BSplineSurface)::DownCast (Surface); | |
1441 | if (BS.IsNull()) { | |
1442 | //BS = GeomConvert::SurfaceToBSplineSurface(Surface); | |
1443 | Standard_Real Tol = Precision::Confusion(); //1.e-4; | |
1444 | GeomAbs_Shape UCont = GeomAbs_C1, VCont = GeomAbs_C1; | |
1445 | Standard_Integer degU = 14, degV = 14; | |
1446 | Standard_Integer nmax = 16; | |
543a9964 | 1447 | Standard_Integer thePrec = 1; |
1448 | const Handle(Geom_Surface)& aSurf = Surface; // to resolve ambiguity | |
1449 | GeomConvert_ApproxSurface theApprox(aSurf,Tol,UCont,VCont,degU,degV,nmax,thePrec); | |
7fd59977 | 1450 | if (theApprox.HasResult()) |
1451 | BS = theApprox.Surface(); | |
1452 | else | |
1453 | BS = GeomConvert::SurfaceToBSplineSurface(Surface); | |
1454 | } | |
1455 | if (InU&&(BS->UDegree()<Continuity+1)) | |
1456 | BS->IncreaseDegree(Continuity+1,BS->VDegree()); | |
1457 | if (!InU&&(BS->VDegree()<Continuity+1)) | |
1458 | BS->IncreaseDegree(BS->UDegree(),Continuity+1); | |
1459 | ||
1460 | // si BS etait periodique dans le sens de l'extension, elle ne le sera plus | |
1461 | if ( (InU&&(BS->IsUPeriodic())) || (!InU&&(BS->IsVPeriodic())) ) { | |
1462 | Standard_Real U0,U1,V0,V1; | |
1463 | BS->Bounds(U0,U1,V0,V1); | |
1464 | BS->Segment(U0,U1,V0,V1); | |
1465 | } | |
1466 | ||
1467 | ||
47c580a7 A |
1468 | // IFV Fix OCC bug 0022694 - wrong result extrapolating rational surfaces |
1469 | // Standard_Boolean rational = ( InU && BS->IsURational() ) | |
1470 | // || ( !InU && BS->IsVRational() ) ; | |
1471 | Standard_Boolean rational = (BS->IsURational() || BS->IsVRational()); | |
7fd59977 | 1472 | Standard_Boolean NullWeight; |
1473 | Standard_Real EpsW = 10*Precision::PConfusion(); | |
1474 | Standard_Integer gap = 3; | |
1475 | if ( rational ) gap++; | |
1476 | ||
1477 | ||
1478 | ||
1d47d8d0 | 1479 | Standard_Integer Cdeg = 0, Cdim = 0, NbP = 0, Ksize = 0, Psize = 1; |
7fd59977 | 1480 | Standard_Integer ii, jj, ipole, Kount; |
1481 | Standard_Real Tbord, lambmin=Length; | |
1d47d8d0 | 1482 | Standard_Real * Padr = NULL; |
7fd59977 | 1483 | Standard_Boolean Ok; |
1484 | Handle(TColStd_HArray1OfReal) FKnots, Point, lambda, Tgte, Poles; | |
1485 | ||
1486 | ||
1487 | ||
1488 | ||
1489 | for (Kount=0, Ok=Standard_False; Kount<=2 && !Ok; Kount++) { | |
1490 | // transformation de la surface en une BSpline non rationnelle a une variable | |
1491 | // de degre UDegree ou VDegree et de dimension 3 ou 4 x NbVpoles ou NbUpoles | |
1492 | // le nombre de poles egal a NbUpoles ou NbVpoles | |
1493 | // ATTENTION : dans le cas rationnel, un point de coordonnees (x,y,z) | |
1494 | // et de poids w devient un point de coordonnees (wx, wy, wz, w ) | |
1495 | ||
1496 | ||
1497 | if (InU) { | |
1498 | Cdeg = BS->UDegree(); | |
1499 | NbP = BS->NbUPoles(); | |
1500 | Cdim = BS->NbVPoles() * gap; | |
1501 | } | |
1502 | else { | |
1503 | Cdeg = BS->VDegree(); | |
1504 | NbP = BS->NbVPoles(); | |
1505 | Cdim = BS->NbUPoles() * gap; | |
1506 | } | |
1507 | ||
1508 | // les noeuds plats | |
1509 | Ksize = NbP + Cdeg + 1; | |
1510 | FKnots = new (TColStd_HArray1OfReal) (1,Ksize); | |
1511 | if (InU) | |
1512 | BS->UKnotSequence(FKnots->ChangeArray1()); | |
1513 | else | |
1514 | BS->VKnotSequence(FKnots->ChangeArray1()); | |
1515 | ||
1516 | // le parametre du noeud de raccord | |
1517 | if (After) | |
1518 | Tbord = FKnots->Value(FKnots->Upper()-Cdeg); | |
1519 | else | |
1520 | Tbord = FKnots->Value(FKnots->Lower()+Cdeg); | |
1521 | ||
1522 | // les poles | |
1523 | Psize = Cdim * NbP; | |
1524 | Poles = new (TColStd_HArray1OfReal) (1,Psize); | |
1525 | ||
1526 | if (InU) { | |
1527 | for (ii=1,ipole=1; ii<=NbP; ii++) { | |
1528 | for (jj=1;jj<=BS->NbVPoles();jj++) { | |
1529 | Poles->SetValue(ipole, BS->Pole(ii,jj).X()); | |
1530 | Poles->SetValue(ipole+1, BS->Pole(ii,jj).Y()); | |
1531 | Poles->SetValue(ipole+2, BS->Pole(ii,jj).Z()); | |
1532 | if (rational) Poles->SetValue(ipole+3, BS->Weight(ii,jj)); | |
1533 | ipole+=gap; | |
1534 | } | |
1535 | } | |
1536 | } | |
1537 | else { | |
1538 | for (jj=1,ipole=1; jj<=NbP; jj++) { | |
1539 | for (ii=1;ii<=BS->NbUPoles();ii++) { | |
1540 | Poles->SetValue(ipole, BS->Pole(ii,jj).X()); | |
1541 | Poles->SetValue(ipole+1, BS->Pole(ii,jj).Y()); | |
1542 | Poles->SetValue(ipole+2, BS->Pole(ii,jj).Z()); | |
1543 | if (rational) Poles->SetValue(ipole+3, BS->Weight(ii,jj)); | |
1544 | ipole+=gap; | |
1545 | } | |
1546 | } | |
1547 | } | |
1548 | Padr = (Standard_Real *) &Poles->ChangeValue(1); | |
1549 | ||
1550 | // calcul du point de raccord et de la tangente | |
1551 | Point = new (TColStd_HArray1OfReal)(1,Cdim); | |
1552 | Tgte = new (TColStd_HArray1OfReal)(1,Cdim); | |
1553 | lambda = new (TColStd_HArray1OfReal)(1,Cdim); | |
1554 | ||
1555 | Standard_Boolean periodic_flag = Standard_False ; | |
1556 | Standard_Integer extrap_mode[2], derivative_request = Max(Continuity,1); | |
1557 | extrap_mode[0] = extrap_mode[1] = Cdeg; | |
1558 | TColStd_Array1OfReal Result(1, Cdim * (derivative_request+1)) ; | |
1559 | ||
1560 | TColStd_Array1OfReal& tgte = Tgte->ChangeArray1(); | |
1561 | TColStd_Array1OfReal& point = Point->ChangeArray1(); | |
1562 | TColStd_Array1OfReal& lamb = lambda->ChangeArray1(); | |
1563 | ||
1564 | Standard_Real * Radr = (Standard_Real *) &Result(1) ; | |
1565 | ||
1566 | BSplCLib::Eval(Tbord,periodic_flag,derivative_request,extrap_mode[0], | |
1567 | Cdeg,FKnots->Array1(),Cdim,*Padr,*Radr); | |
1568 | Ok = Standard_True; | |
1569 | for (ii=1;ii<=Cdim;ii++) { | |
1570 | point(ii) = Result(ii); | |
1571 | tgte(ii) = Result(ii+Cdim); | |
1572 | } | |
1573 | ||
1574 | // calcul de la contrainte a atteindre | |
1575 | ||
1576 | gp_Vec CurT, OldT; | |
1577 | ||
1578 | Standard_Real NTgte, val, Tgtol = 1.e-12, OldN = 0.0; | |
1579 | if (rational) { | |
1580 | for (ii=gap;ii<=Cdim;ii+=gap) { | |
1581 | tgte(ii) = 0.; | |
1582 | } | |
1583 | for (ii=gap;ii<=Cdim;ii+=gap) { | |
1584 | CurT.SetCoord(tgte(ii-3),tgte(ii-2), tgte(ii-1)); | |
1585 | NTgte=CurT.Magnitude(); | |
1586 | if (NTgte>Tgtol) { | |
1587 | val = Length/NTgte; | |
1588 | // Attentions aux Cas ou le segment donne par les poles | |
1589 | // est oppose au sens de la derive | |
1590 | // Exemple: Certaine portions de tore. | |
1591 | if ( (OldN > Tgtol) && (CurT.Angle(OldT) > 2)) { | |
1592 | Ok = Standard_False; | |
1593 | } | |
1594 | ||
1595 | lamb(ii-1) = lamb(ii-2) = lamb(ii-3) = val; | |
1596 | lamb(ii) = 0.; | |
1597 | lambmin = Min(lambmin, val); | |
1598 | } | |
1599 | else { | |
1600 | lamb(ii-1) = lamb(ii-2) = lamb(ii-3) = 0.; | |
1601 | lamb(ii) = 0.; | |
1602 | } | |
1603 | OldT = CurT; | |
1604 | OldN = NTgte; | |
1605 | } | |
1606 | } | |
1607 | else { | |
1608 | for (ii=gap;ii<=Cdim;ii+=gap) { | |
1609 | CurT.SetCoord(tgte(ii-2),tgte(ii-1), tgte(ii)); | |
1610 | NTgte=CurT.Magnitude(); | |
1611 | if (NTgte>Tgtol) { | |
1612 | val = Length/NTgte; | |
1613 | // Attentions aux Cas ou le segment donne par les poles | |
1614 | // est oppose au sens de la derive | |
1615 | // Exemple: Certaine portion de tore. | |
1616 | if ( (OldN > Tgtol) && (CurT.Angle(OldT) > 2)) { | |
1617 | Ok = Standard_False; | |
1618 | } | |
1619 | lamb(ii) = lamb(ii-1) = lamb(ii-2) = val; | |
1620 | lambmin = Min(lambmin, val); | |
1621 | } | |
1622 | else { | |
1623 | lamb(ii) =lamb(ii-1) = lamb(ii-2) = 0.; | |
1624 | } | |
1625 | OldT = CurT; | |
1626 | OldN = NTgte; | |
1627 | } | |
1628 | } | |
1629 | if (!Ok && Kount<2) { | |
1630 | // On augmente le degre de l'iso bord afin de rapprocher les poles de la surface | |
1631 | // Et on ressaye | |
1632 | if (InU) BS->IncreaseDegree(BS->UDegree(), BS->VDegree()+2); | |
1633 | else BS->IncreaseDegree(BS->UDegree()+2, BS->VDegree()); | |
1634 | } | |
1635 | } | |
1636 | ||
1637 | ||
1638 | TColStd_Array1OfReal ConstraintPoint(1,Cdim); | |
1639 | if (After) { | |
1640 | for (ii=1;ii<=Cdim;ii++) { | |
1641 | ConstraintPoint(ii) = Point->Value(ii) + lambda->Value(ii)*Tgte->Value(ii); | |
1642 | } | |
1643 | } | |
1644 | else { | |
1645 | for (ii=1;ii<=Cdim;ii++) { | |
1646 | ConstraintPoint(ii) = Point->Value(ii) - lambda->Value(ii)*Tgte->Value(ii); | |
1647 | } | |
1648 | } | |
1649 | ||
1650 | // cas particulier du rationnel | |
1651 | if (rational) { | |
1652 | for (ipole=1;ipole<=Psize;ipole+=gap) { | |
1653 | Poles->ChangeValue(ipole) *= Poles->Value(ipole+3); | |
1654 | Poles->ChangeValue(ipole+1) *= Poles->Value(ipole+3); | |
1655 | Poles->ChangeValue(ipole+2) *= Poles->Value(ipole+3); | |
1656 | } | |
1657 | for (ii=1;ii<=Cdim;ii+=gap) { | |
1658 | ConstraintPoint(ii) *= ConstraintPoint(ii+3); | |
1659 | ConstraintPoint(ii+1) *= ConstraintPoint(ii+3); | |
1660 | ConstraintPoint(ii+2) *= ConstraintPoint(ii+3); | |
1661 | } | |
1662 | } | |
1663 | ||
1664 | // tableaux necessaires pour l'extension | |
1d47d8d0 | 1665 | Standard_Integer Ksize2 = Ksize+Cdeg, NbPoles, NbKnots = 0; |
7fd59977 | 1666 | TColStd_Array1OfReal FK(1, Ksize2) ; |
1667 | Standard_Real * FKRadr = &FK(1); | |
1668 | ||
1669 | Standard_Integer Psize2 = Psize+Cdeg*Cdim; | |
1670 | TColStd_Array1OfReal PRes(1, Psize2) ; | |
1671 | Standard_Real * PRadr = &PRes(1); | |
1672 | Standard_Real ww; | |
1673 | Standard_Boolean ExtOk = Standard_False; | |
1674 | Handle(TColgp_HArray2OfPnt) NewPoles; | |
1675 | Handle(TColStd_HArray2OfReal) NewWeights; | |
1676 | ||
1677 | ||
1678 | for (Kount=1; Kount<=5 && !ExtOk; Kount++) { | |
1679 | // extension | |
1680 | BSplCLib::TangExtendToConstraint(FKnots->Array1(), | |
1681 | lambmin,NbP,*Padr, | |
1682 | Cdim,Cdeg, | |
1683 | ConstraintPoint, Cont, After, | |
1684 | NbPoles, NbKnots,*FKRadr, *PRadr); | |
1685 | ||
1686 | // recopie des poles du resultat sous forme de points 3D et de poids | |
1687 | Standard_Integer NU, NV, indice ; | |
1688 | if (InU) { | |
1689 | NU = NbPoles; | |
1690 | NV = BS->NbVPoles(); | |
1691 | } | |
1692 | else { | |
1693 | NU = BS->NbUPoles(); | |
1694 | NV = NbPoles; | |
1695 | } | |
1696 | ||
1697 | NewPoles = new (TColgp_HArray2OfPnt)(1,NU,1,NV); | |
1698 | TColgp_Array2OfPnt& NewP = NewPoles->ChangeArray2(); | |
1699 | NewWeights = new (TColStd_HArray2OfReal) (1,NU,1,NV); | |
1700 | TColStd_Array2OfReal& NewW = NewWeights->ChangeArray2(); | |
1701 | ||
1702 | if (!rational) NewW.Init(1.); | |
1703 | NullWeight= Standard_False; | |
1704 | ||
1705 | if (InU) { | |
1706 | for (ii=1; ii<=NU && !NullWeight; ii++) { | |
1707 | for (jj=1; jj<=NV && !NullWeight; jj++) { | |
1708 | indice = 1+(ii-1)*Cdim+(jj-1)*gap; | |
1709 | NewP(ii,jj).SetCoord(1,PRes(indice)); | |
1710 | NewP(ii,jj).SetCoord(2,PRes(indice+1)); | |
1711 | NewP(ii,jj).SetCoord(3,PRes(indice+2)); | |
1712 | if (rational) { | |
1713 | ww = PRes(indice+3); | |
94f71cad | 1714 | if (Abs(ww - 1.0) < EpsW) |
1715 | ww = 1.0; | |
7fd59977 | 1716 | if (ww < EpsW) { |
1717 | NullWeight = Standard_True; | |
1718 | } | |
1719 | else { | |
1720 | NewW(ii,jj) = ww; | |
1721 | NewP(ii,jj).ChangeCoord() /= ww; | |
1722 | } | |
1723 | } | |
1724 | } | |
1725 | } | |
1726 | } | |
1727 | else { | |
1728 | for (jj=1; jj<=NV && !NullWeight; jj++) { | |
1729 | for (ii=1; ii<=NU && !NullWeight; ii++) { | |
1730 | indice = 1+(ii-1)*gap+(jj-1)*Cdim; | |
1731 | NewP(ii,jj).SetCoord(1,PRes(indice)); | |
1732 | NewP(ii,jj).SetCoord(2,PRes(indice+1)); | |
1733 | NewP(ii,jj).SetCoord(3,PRes(indice+2)); | |
1734 | if (rational) { | |
1735 | ww = PRes(indice+3); | |
94f71cad | 1736 | if (Abs(ww - 1.0) < EpsW) |
1737 | ww = 1.0; | |
7fd59977 | 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) { | |
0797d9d3 | 1751 | #ifdef OCCT_DEBUG |
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()) { | |
0797d9d3 | 1851 | #ifdef OCCT_DEBUG |
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, | |
0e14656b | 2201 | &surface_u_mults, |
2202 | &surface_v_mults, | |
7fd59977 | 2203 | surface_poles, |
0e14656b | 2204 | &surface_weights, |
7fd59977 | 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 |