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1 | // Created on: 1993-03-25 |
2 | // Created by: JCV |
3 | // Copyright (c) 1993-1999 Matra Datavision |
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4 | // Copyright (c) 1999-2014 OPEN CASCADE SAS |
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5 | // |
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6 | // This file is part of Open CASCADE Technology software library. |
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7 | // |
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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 |
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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. |
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13 | // |
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14 | // Alternatively, this file may be used under the terms of Open CASCADE |
15 | // commercial license or contractual agreement. |
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16 | |
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17 | //Avril 1991 : constructeurs + methodes de lecture. |
18 | //Mai 1991 : revue des specifs + debut de realisation des classes tool => |
19 | // implementation des methodes Set et calcul du point courant. |
20 | //Juillet 1991 : voir egalement File Geom2d_BSplineCurve_1.cxx |
21 | //Juin 1992 : mise a plat des valeurs nodales - amelioration des |
22 | // performances sur calcul du point courant |
23 | |
24 | //RLE Aug 1993 Remove Swaps, Init methods, Remove typedefs |
25 | // 14-Mar-96 : xab implemented MovePointAndTangent |
26 | |
27 | //SAMTECH Jan 2002 : add text to Raise() |
28 | |
29 | #define No_Standard_OutOfRange |
30 | |
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31 | |
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32 | #include <BSplCLib.hxx> |
33 | #include <BSplCLib_KnotDistribution.hxx> |
34 | #include <BSplCLib_MultDistribution.hxx> |
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35 | #include <Geom2d_BSplineCurve.hxx> |
36 | #include <Geom2d_Geometry.hxx> |
37 | #include <Geom2d_UndefinedDerivative.hxx> |
38 | #include <gp.hxx> |
39 | #include <gp_Pnt2d.hxx> |
40 | #include <gp_Trsf2d.hxx> |
41 | #include <gp_Vec2d.hxx> |
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42 | #include <Precision.hxx> |
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43 | #include <Standard_ConstructionError.hxx> |
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44 | #include <Standard_DimensionError.hxx> |
45 | #include <Standard_DomainError.hxx> |
46 | #include <Standard_NoSuchObject.hxx> |
47 | #include <Standard_NotImplemented.hxx> |
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48 | #include <Standard_OutOfRange.hxx> |
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49 | #include <Standard_RangeError.hxx> |
50 | #include <Standard_Type.hxx> |
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51 | |
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52 | IMPLEMENT_STANDARD_RTTIEXT(Geom2d_BSplineCurve,Geom2d_BoundedCurve) |
53 | |
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54 | //======================================================================= |
55 | //function : CheckCurveData |
56 | //purpose : Internal use only |
57 | //======================================================================= |
7fd59977 |
58 | static void CheckCurveData |
59 | (const TColgp_Array1OfPnt2d& CPoles, |
60 | const TColStd_Array1OfReal& CKnots, |
61 | const TColStd_Array1OfInteger& CMults, |
62 | const Standard_Integer Degree, |
63 | const Standard_Boolean Periodic) |
64 | { |
65 | if (Degree < 1 || Degree > Geom2d_BSplineCurve::MaxDegree()) { |
66 | Standard_ConstructionError::Raise("BSpline curve : invalid degree"); |
67 | } |
68 | |
69 | if (CPoles.Length() < 2) Standard_ConstructionError::Raise("BSpline curve : at least 2 poles required"); |
70 | if (CKnots.Length() != CMults.Length()) Standard_ConstructionError::Raise("BSpline curve : Knot and Mult array size mismatch"); |
71 | |
72 | for (Standard_Integer I = CKnots.Lower(); I < CKnots.Upper(); I++) { |
73 | if (CKnots (I+1) - CKnots (I) <= Epsilon (Abs(CKnots (I)))) { |
74 | Standard_ConstructionError::Raise("BSpline curve : Knots interval values too close"); |
75 | } |
76 | } |
77 | |
78 | if (CPoles.Length() != BSplCLib::NbPoles(Degree,Periodic,CMults)) |
79 | Standard_ConstructionError::Raise("BSpline curve : # Poles and degree mismatch"); |
80 | } |
81 | |
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82 | //======================================================================= |
83 | //function : Rational |
84 | //purpose : check rationality of an array of weights |
85 | //======================================================================= |
86 | |
87 | static Standard_Boolean Rational(const TColStd_Array1OfReal& W) |
88 | { |
89 | Standard_Integer i, n = W.Length(); |
90 | Standard_Boolean rat = Standard_False; |
91 | for (i = 1; i < n; i++) { |
92 | rat = Abs(W(i) - W(i+1)) > gp::Resolution(); |
93 | if (rat) break; |
94 | } |
95 | return rat; |
96 | } |
97 | |
98 | //======================================================================= |
99 | //function : Copy |
100 | //purpose : |
101 | //======================================================================= |
102 | |
103 | Handle(Geom2d_Geometry) Geom2d_BSplineCurve::Copy() const |
104 | { |
105 | Handle(Geom2d_BSplineCurve) C; |
106 | if (IsRational()) |
107 | C = new Geom2d_BSplineCurve(poles->Array1(), |
108 | weights->Array1(), |
109 | knots->Array1(), |
110 | mults->Array1(), |
111 | deg,periodic); |
112 | else |
113 | C = new Geom2d_BSplineCurve(poles->Array1(), |
114 | knots->Array1(), |
115 | mults->Array1(), |
116 | deg,periodic); |
117 | return C; |
118 | } |
119 | |
120 | //======================================================================= |
121 | //function : Geom2d_BSplineCurve |
122 | //purpose : |
123 | //======================================================================= |
124 | |
125 | Geom2d_BSplineCurve::Geom2d_BSplineCurve |
126 | (const TColgp_Array1OfPnt2d& Poles, |
127 | const TColStd_Array1OfReal& Knots, |
128 | const TColStd_Array1OfInteger& Mults, |
129 | const Standard_Integer Degree, |
130 | const Standard_Boolean Periodic) : |
131 | rational(Standard_False), |
132 | periodic(Periodic), |
133 | deg(Degree), |
134 | maxderivinvok(Standard_False) |
135 | { |
136 | // check |
137 | |
94f71cad |
138 | CheckCurveData(Poles, |
139 | Knots, |
140 | Mults, |
141 | Degree, |
142 | Periodic); |
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143 | |
144 | // copy arrays |
145 | |
146 | poles = new TColgp_HArray1OfPnt2d(1,Poles.Length()); |
147 | poles->ChangeArray1() = Poles; |
148 | |
149 | knots = new TColStd_HArray1OfReal(1,Knots.Length()); |
150 | knots->ChangeArray1() = Knots; |
151 | |
152 | mults = new TColStd_HArray1OfInteger(1,Mults.Length()); |
153 | mults->ChangeArray1() = Mults; |
154 | |
155 | UpdateKnots(); |
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156 | } |
157 | |
158 | //======================================================================= |
159 | //function : Geom2d_BSplineCurve |
160 | //purpose : |
161 | //======================================================================= |
162 | |
163 | Geom2d_BSplineCurve::Geom2d_BSplineCurve |
164 | (const TColgp_Array1OfPnt2d& Poles, |
165 | const TColStd_Array1OfReal& Weights, |
166 | const TColStd_Array1OfReal& Knots, |
167 | const TColStd_Array1OfInteger& Mults, |
168 | const Standard_Integer Degree, |
169 | const Standard_Boolean Periodic) : |
170 | rational(Standard_True), |
171 | periodic(Periodic), |
172 | deg(Degree), |
173 | maxderivinvok(Standard_False) |
174 | |
175 | { |
176 | |
177 | // check |
178 | |
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179 | CheckCurveData(Poles, |
180 | Knots, |
181 | Mults, |
182 | Degree, |
183 | Periodic); |
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184 | |
185 | if (Weights.Length() != Poles.Length()) |
186 | Standard_ConstructionError::Raise("Geom2d_BSplineCurve :Weights and Poles array size mismatch"); |
187 | |
188 | Standard_Integer i; |
189 | for (i = Weights.Lower(); i <= Weights.Upper(); i++) { |
190 | if (Weights(i) <= gp::Resolution()) { |
191 | Standard_ConstructionError::Raise("Geom2d_BSplineCurve: Weights values too small"); |
192 | } |
193 | } |
194 | |
195 | // check really rational |
196 | rational = Rational(Weights); |
197 | |
198 | // copy arrays |
199 | |
200 | poles = new TColgp_HArray1OfPnt2d(1,Poles.Length()); |
201 | poles->ChangeArray1() = Poles; |
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202 | if (rational) { |
203 | weights = new TColStd_HArray1OfReal(1,Weights.Length()); |
204 | weights->ChangeArray1() = Weights; |
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205 | } |
206 | |
207 | knots = new TColStd_HArray1OfReal(1,Knots.Length()); |
208 | knots->ChangeArray1() = Knots; |
209 | |
210 | mults = new TColStd_HArray1OfInteger(1,Mults.Length()); |
211 | mults->ChangeArray1() = Mults; |
212 | |
213 | UpdateKnots(); |
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214 | } |
215 | |
216 | //======================================================================= |
217 | //function : MaxDegree |
218 | //purpose : |
219 | //======================================================================= |
220 | |
221 | Standard_Integer Geom2d_BSplineCurve::MaxDegree () |
222 | { |
223 | return BSplCLib::MaxDegree(); |
224 | } |
225 | |
226 | //======================================================================= |
227 | //function : IncreaseDegree |
228 | //purpose : |
229 | //======================================================================= |
230 | |
231 | void Geom2d_BSplineCurve::IncreaseDegree |
232 | (const Standard_Integer Degree) |
233 | { |
234 | if (Degree == deg) return; |
235 | |
236 | if (Degree < deg || Degree > Geom2d_BSplineCurve::MaxDegree()) { |
237 | Standard_ConstructionError::Raise("BSpline curve : IncreaseDegree : bad degree value"); |
238 | } |
239 | |
240 | Standard_Integer FromK1 = FirstUKnotIndex (); |
241 | Standard_Integer ToK2 = LastUKnotIndex (); |
242 | |
243 | Standard_Integer Step = Degree - deg; |
244 | |
245 | Handle(TColgp_HArray1OfPnt2d) npoles = new |
246 | TColgp_HArray1OfPnt2d(1,poles->Length() + Step * (ToK2-FromK1)); |
247 | |
248 | Standard_Integer nbknots = BSplCLib::IncreaseDegreeCountKnots |
249 | (deg,Degree,periodic,mults->Array1()); |
250 | |
251 | Handle(TColStd_HArray1OfReal) nknots = |
252 | new TColStd_HArray1OfReal(1,nbknots); |
253 | |
254 | Handle(TColStd_HArray1OfInteger) nmults = |
255 | new TColStd_HArray1OfInteger(1,nbknots); |
256 | |
257 | Handle(TColStd_HArray1OfReal) nweights; |
258 | |
259 | if (IsRational()) { |
260 | |
261 | nweights = new TColStd_HArray1OfReal(1,npoles->Upper()); |
262 | |
263 | BSplCLib::IncreaseDegree |
264 | (deg,Degree, periodic, |
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265 | poles->Array1(),&weights->Array1(), |
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266 | knots->Array1(),mults->Array1(), |
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267 | npoles->ChangeArray1(),&nweights->ChangeArray1(), |
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268 | nknots->ChangeArray1(),nmults->ChangeArray1()); |
269 | } |
270 | else { |
271 | |
272 | BSplCLib::IncreaseDegree |
273 | (deg,Degree, periodic, |
274 | poles->Array1(), |
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275 | BSplCLib::NoWeights(), |
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276 | knots->Array1(),mults->Array1(), |
277 | npoles->ChangeArray1(), |
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278 | BSplCLib::NoWeights(), |
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279 | nknots->ChangeArray1(),nmults->ChangeArray1()); |
280 | } |
281 | |
282 | deg = Degree; |
283 | poles = npoles; |
284 | weights = nweights; |
285 | knots = nknots; |
286 | mults = nmults; |
287 | UpdateKnots(); |
288 | } |
289 | |
290 | //======================================================================= |
291 | //function : IncreaseMultiplicity |
292 | //purpose : |
293 | //======================================================================= |
294 | |
295 | void Geom2d_BSplineCurve::IncreaseMultiplicity |
296 | (const Standard_Integer Index, |
297 | const Standard_Integer M) |
298 | { |
299 | TColStd_Array1OfReal k(1,1); |
300 | k(1) = knots->Value(Index); |
301 | TColStd_Array1OfInteger m(1,1); |
302 | m(1) = M - mults->Value(Index); |
303 | InsertKnots(k,m,Epsilon(1.),Standard_True); |
304 | } |
305 | |
306 | //======================================================================= |
307 | //function : IncreaseMultiplicity |
308 | //purpose : |
309 | //======================================================================= |
310 | |
311 | void Geom2d_BSplineCurve::IncreaseMultiplicity |
312 | (const Standard_Integer I1, |
313 | const Standard_Integer I2, |
314 | const Standard_Integer M) |
315 | { |
316 | Handle(TColStd_HArray1OfReal) tk = knots; |
317 | TColStd_Array1OfReal k((knots->Array1())(I1),I1,I2); |
318 | TColStd_Array1OfInteger m(I1,I2); |
319 | Standard_Integer i; |
320 | for (i = I1; i <= I2; i++) |
321 | m(i) = M - mults->Value(i); |
322 | InsertKnots(k,m,Epsilon(1.),Standard_True); |
323 | } |
324 | |
325 | //======================================================================= |
326 | //function : IncrementMultiplicity |
327 | //purpose : |
328 | //======================================================================= |
329 | |
330 | void Geom2d_BSplineCurve::IncrementMultiplicity |
331 | (const Standard_Integer I1, |
332 | const Standard_Integer I2, |
333 | const Standard_Integer Step) |
334 | { |
335 | Handle(TColStd_HArray1OfReal) tk = knots; |
336 | TColStd_Array1OfReal k((knots->Array1())(I1),I1,I2); |
337 | TColStd_Array1OfInteger m(I1,I2); |
338 | m.Init(Step); |
339 | InsertKnots(k,m,Epsilon(1.),Standard_True); |
340 | } |
341 | |
342 | //======================================================================= |
343 | //function : InsertKnot |
344 | //purpose : |
345 | //======================================================================= |
346 | |
347 | void Geom2d_BSplineCurve::InsertKnot |
348 | (const Standard_Real U, |
349 | const Standard_Integer M, |
350 | const Standard_Real ParametricTolerance) |
351 | { |
352 | TColStd_Array1OfReal k(1,1); |
353 | k(1) = U; |
354 | TColStd_Array1OfInteger m(1,1); |
355 | m(1) = M; |
356 | InsertKnots(k,m,ParametricTolerance); |
357 | } |
358 | |
359 | //======================================================================= |
360 | //function : InsertKnots |
361 | //purpose : |
362 | //======================================================================= |
363 | void Geom2d_BSplineCurve::InsertKnots(const TColStd_Array1OfReal& Knots, |
364 | const TColStd_Array1OfInteger& Mults, |
365 | const Standard_Real Epsilon, |
366 | const Standard_Boolean Add) |
367 | { |
368 | // Check and compute new sizes |
369 | Standard_Integer nbpoles,nbknots; |
370 | |
371 | if (!BSplCLib::PrepareInsertKnots(deg,periodic, |
372 | knots->Array1(),mults->Array1(), |
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373 | Knots,&Mults,nbpoles,nbknots,Epsilon,Add)) |
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374 | Standard_ConstructionError::Raise("Geom2d_BSplineCurve::InsertKnots"); |
375 | |
376 | if (nbpoles == poles->Length()) return; |
377 | |
378 | Handle(TColgp_HArray1OfPnt2d) npoles = new TColgp_HArray1OfPnt2d(1,nbpoles); |
379 | Handle(TColStd_HArray1OfReal) nknots = knots; |
380 | Handle(TColStd_HArray1OfInteger) nmults = mults; |
381 | |
382 | if (nbknots != knots->Length()) { |
383 | nknots = new TColStd_HArray1OfReal(1,nbknots); |
384 | nmults = new TColStd_HArray1OfInteger(1,nbknots); |
385 | } |
386 | |
387 | if (rational) { |
388 | Handle(TColStd_HArray1OfReal) nweights = |
389 | new TColStd_HArray1OfReal(1,nbpoles); |
390 | BSplCLib::InsertKnots(deg,periodic, |
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391 | poles->Array1(), &weights->Array1(), |
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392 | knots->Array1(), mults->Array1(), |
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393 | Knots, &Mults, |
394 | npoles->ChangeArray1(), &nweights->ChangeArray1(), |
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395 | nknots->ChangeArray1(), nmults->ChangeArray1(), |
396 | Epsilon,Add); |
397 | weights = nweights; |
398 | } |
399 | else { |
400 | BSplCLib::InsertKnots(deg,periodic, |
401 | poles->Array1(), |
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402 | BSplCLib::NoWeights(), |
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403 | knots->Array1(), mults->Array1(), |
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404 | Knots, &Mults, |
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405 | npoles->ChangeArray1(), |
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406 | BSplCLib::NoWeights(), |
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407 | nknots->ChangeArray1(), nmults->ChangeArray1(), |
408 | Epsilon,Add); |
409 | } |
410 | |
411 | poles = npoles; |
412 | knots = nknots; |
413 | mults = nmults; |
414 | UpdateKnots(); |
415 | |
416 | } |
417 | |
418 | //======================================================================= |
419 | //function : RemoveKnot |
420 | //purpose : |
421 | //======================================================================= |
422 | |
423 | Standard_Boolean Geom2d_BSplineCurve::RemoveKnot |
424 | (const Standard_Integer Index, |
425 | const Standard_Integer M, |
426 | const Standard_Real Tolerance) |
427 | { |
428 | if (M < 0) return Standard_True; |
429 | |
430 | Standard_Integer I1 = FirstUKnotIndex (); |
431 | Standard_Integer I2 = LastUKnotIndex (); |
432 | |
433 | if (Index < I1 || Index > I2) { |
434 | Standard_OutOfRange::Raise("BSpline curve : RemoveKnot : index out of range"); |
435 | } |
436 | |
437 | const TColgp_Array1OfPnt2d & oldpoles = poles->Array1(); |
438 | |
439 | Standard_Integer step = mults->Value(Index) - M; |
440 | if (step <= 0) return Standard_True; |
441 | |
442 | Handle(TColgp_HArray1OfPnt2d) npoles = |
443 | new TColgp_HArray1OfPnt2d(1,oldpoles.Length()-step); |
444 | |
445 | Handle(TColStd_HArray1OfReal) nknots = knots; |
446 | Handle(TColStd_HArray1OfInteger) nmults = mults; |
447 | |
448 | if (M == 0) { |
449 | nknots = new TColStd_HArray1OfReal(1,knots->Length()-1); |
450 | nmults = new TColStd_HArray1OfInteger(1,knots->Length()-1); |
451 | } |
452 | |
453 | if (IsRational()) { |
454 | Handle(TColStd_HArray1OfReal) nweights = |
455 | new TColStd_HArray1OfReal(1,npoles->Length()); |
456 | if (!BSplCLib::RemoveKnot |
457 | (Index, M, deg, periodic, |
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458 | poles->Array1(),&weights->Array1(), |
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459 | knots->Array1(),mults->Array1(), |
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460 | npoles->ChangeArray1(), &nweights->ChangeArray1(), |
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461 | nknots->ChangeArray1(),nmults->ChangeArray1(), |
462 | Tolerance)) |
463 | return Standard_False; |
464 | weights = nweights; |
465 | } |
466 | else { |
467 | if (!BSplCLib::RemoveKnot |
468 | (Index, M, deg, periodic, |
469 | poles->Array1(), |
0e14656b |
470 | BSplCLib::NoWeights(), |
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471 | knots->Array1(),mults->Array1(), |
472 | npoles->ChangeArray1(), |
0e14656b |
473 | BSplCLib::NoWeights(), |
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474 | nknots->ChangeArray1(),nmults->ChangeArray1(), |
475 | Tolerance)) |
476 | return Standard_False; |
477 | } |
478 | |
479 | poles = npoles; |
480 | knots = nknots; |
481 | mults = nmults; |
482 | |
483 | UpdateKnots(); |
484 | maxderivinvok = 0; |
485 | return Standard_True; |
486 | } |
487 | |
488 | //======================================================================= |
489 | //function : InsertPoleAfter |
490 | //purpose : |
491 | //======================================================================= |
492 | |
493 | void Geom2d_BSplineCurve::InsertPoleAfter |
494 | (const Standard_Integer Index, |
495 | const gp_Pnt2d& P, |
496 | const Standard_Real Weight) |
497 | { |
498 | if (Index < 0 || Index > poles->Length()) Standard_OutOfRange::Raise("BSpline curve : InsertPoleAfter: Index and #pole mismatch"); |
499 | |
500 | if (Weight <= gp::Resolution()) Standard_ConstructionError::Raise("BSpline curve : InsertPoleAfter: Weight too small"); |
501 | |
502 | if (knotSet == GeomAbs_NonUniform || knotSet == GeomAbs_PiecewiseBezier) { |
503 | Standard_ConstructionError::Raise("BSpline curve : InsertPoleAfter : bad knotSet type"); |
504 | } |
505 | |
506 | const TColStd_Array1OfReal& cknots = knots->Array1(); |
507 | Standard_Integer nbknots = cknots.Length(); |
508 | |
509 | Handle(TColStd_HArray1OfReal) nknots = |
510 | new TColStd_HArray1OfReal(1,nbknots+1); |
511 | |
512 | TColStd_Array1OfReal& newknots = nknots->ChangeArray1(); |
513 | |
514 | Standard_Integer i; |
515 | for (i = 1; i < nbknots; i++) { |
516 | newknots (i) = cknots(i); |
517 | } |
518 | |
519 | newknots (nbknots+1) = 2 * newknots (nbknots) - newknots(nbknots-1); |
520 | |
521 | Handle(TColStd_HArray1OfInteger) nmults = |
522 | new TColStd_HArray1OfInteger(1,nbknots+1); |
523 | |
524 | TColStd_Array1OfInteger& newmults = nmults->ChangeArray1(); |
525 | const TColStd_Array1OfInteger& cmults = mults->Array1(); |
526 | |
527 | for (i = 2; i <= nbknots; i++) newmults (i) = 1; |
528 | newmults (1) = cmults(1); |
529 | newmults (nbknots+1) = cmults(nbknots+1); |
530 | |
531 | const TColgp_Array1OfPnt2d& cpoles = poles->Array1(); |
532 | Standard_Integer nbpoles = cpoles.Length(); |
533 | Handle(TColgp_HArray1OfPnt2d) npoles = |
534 | new TColgp_HArray1OfPnt2d(1, nbpoles+1); |
535 | TColgp_Array1OfPnt2d& newpoles = npoles->ChangeArray1(); |
536 | |
537 | // insert the pole |
538 | |
539 | for (i = 1; i <= Index; i++) |
540 | newpoles(i) = cpoles(i); |
541 | |
542 | newpoles(Index+1) = P; |
543 | |
544 | for (i = Index+1; i <= nbpoles; i++) |
545 | newpoles(i+1) = cpoles(i); |
546 | |
547 | // Insert the weight |
548 | |
549 | Handle(TColStd_HArray1OfReal) nweights; |
550 | Standard_Boolean rat = IsRational() || Abs(Weight-1.) > gp::Resolution(); |
551 | |
552 | if (rat) { |
553 | nweights = new TColStd_HArray1OfReal(1,nbpoles+1); |
554 | TColStd_Array1OfReal& newweights = nweights->ChangeArray1(); |
555 | |
556 | for (i = 1; i <= Index; i++) |
557 | if (IsRational()) |
558 | newweights(i) = weights->Value(i); |
559 | else |
560 | newweights(i) = 1.; |
561 | |
562 | newweights(Index+1) = Weight; |
563 | |
564 | for (i = Index+1; i <= nbpoles; i++) |
565 | if (IsRational()) |
566 | newweights(i+1) = weights->Value(i); |
567 | else |
568 | newweights(i+1) = 1.; |
569 | } |
570 | |
571 | poles = npoles; |
572 | weights = nweights; |
573 | knots = nknots; |
574 | mults = nmults; |
575 | maxderivinvok = 0; |
576 | UpdateKnots(); |
577 | } |
578 | |
579 | //======================================================================= |
580 | //function : InsertPoleBefore |
581 | //purpose : |
582 | //======================================================================= |
583 | |
584 | void Geom2d_BSplineCurve::InsertPoleBefore |
585 | (const Standard_Integer Index, |
586 | const gp_Pnt2d& P, |
587 | const Standard_Real Weight) |
588 | { |
589 | InsertPoleAfter(Index-1,P,Weight); |
590 | } |
591 | |
592 | //======================================================================= |
593 | //function : RemovePole |
594 | //purpose : |
595 | //======================================================================= |
596 | |
597 | void Geom2d_BSplineCurve::RemovePole |
598 | (const Standard_Integer Index) |
599 | { |
600 | if (Index < 1 || Index > poles->Length()) Standard_OutOfRange::Raise("BSpline curve :RemovePole : Index and #pole mismatch"); |
601 | |
602 | if (poles->Length() <= 2) Standard_ConstructionError::Raise("BSpline curve : RemovePole : #pole is already minimum"); |
603 | |
604 | if (knotSet == GeomAbs_NonUniform || knotSet == GeomAbs_PiecewiseBezier) |
605 | Standard_ConstructionError::Raise("BSpline curve : RemovePole: bad knotSet type"); |
606 | |
607 | Standard_Integer i; |
608 | Handle(TColStd_HArray1OfReal) nknots = |
609 | new TColStd_HArray1OfReal(1,knots->Length()-1); |
610 | TColStd_Array1OfReal& newknots = nknots->ChangeArray1(); |
611 | |
612 | Handle(TColStd_HArray1OfInteger) nmults = |
613 | new TColStd_HArray1OfInteger(1,mults->Length()-1); |
614 | TColStd_Array1OfInteger& newmults = nmults->ChangeArray1(); |
615 | |
616 | for (i = 1; i < newknots.Length(); i++) { |
617 | newknots (i) = knots->Value (i); |
618 | newmults (i) = 1; |
619 | } |
620 | newmults(1) = mults->Value(1); |
621 | newknots(newknots.Upper()) = knots->Value (knots->Upper()); |
622 | newmults(newmults.Upper()) = mults->Value (mults->Upper()); |
623 | |
624 | |
625 | Handle(TColgp_HArray1OfPnt2d) npoles = |
626 | new TColgp_HArray1OfPnt2d(1, poles->Upper()-1); |
627 | TColgp_Array1OfPnt2d& newpoles = npoles->ChangeArray1(); |
628 | |
629 | for (i = 1; i < Index; i++) |
630 | newpoles(i) = poles->Value(i); |
631 | for (i = Index; i < newpoles.Length(); i++) |
632 | newpoles(i) = poles->Value(i+1); |
633 | |
634 | Handle(TColStd_HArray1OfReal) nweights; |
635 | if (IsRational()) { |
636 | nweights = new TColStd_HArray1OfReal(1,newpoles.Length()); |
637 | TColStd_Array1OfReal& newweights = nweights->ChangeArray1(); |
638 | for (i = 1; i < Index; i++) |
639 | newweights(i) = weights->Value(i); |
640 | for (i = Index; i < newweights.Length(); i++) |
641 | newweights(i) = weights->Value(i+1); |
642 | } |
643 | |
644 | poles = npoles; |
645 | weights = nweights; |
646 | knots = nknots; |
647 | mults = nmults; |
648 | UpdateKnots(); |
649 | } |
650 | |
651 | //======================================================================= |
652 | //function : Reverse |
653 | //purpose : |
654 | //======================================================================= |
655 | |
656 | void Geom2d_BSplineCurve::Reverse () |
657 | { |
658 | BSplCLib::Reverse(knots->ChangeArray1()); |
659 | BSplCLib::Reverse(mults->ChangeArray1()); |
660 | Standard_Integer last; |
661 | if (periodic) |
662 | last = flatknots->Upper() - deg - 1; |
663 | else |
664 | last = poles->Upper(); |
665 | BSplCLib::Reverse(poles->ChangeArray1(),last); |
666 | if (rational) |
667 | BSplCLib::Reverse(weights->ChangeArray1(),last); |
668 | UpdateKnots(); |
669 | } |
670 | |
671 | //======================================================================= |
672 | //function : ReversedParameter |
673 | //purpose : |
674 | //======================================================================= |
675 | |
676 | Standard_Real Geom2d_BSplineCurve::ReversedParameter( const Standard_Real U) const |
677 | { |
678 | return (FirstParameter() + LastParameter() - U); |
679 | } |
680 | |
681 | //======================================================================= |
682 | //function : Segment |
683 | //purpose : |
684 | //======================================================================= |
685 | void Geom2d_BSplineCurve::Segment(const Standard_Real aU1, |
686 | const Standard_Real aU2) |
687 | { |
369a38aa |
688 | if (aU2 < aU1) |
689 | Standard_DomainError::Raise("Geom2d_BSplineCurve::Segment"); |
7fd59977 |
690 | // |
691 | Standard_Real AbsUMax = Max(Abs(FirstParameter()),Abs(LastParameter())); |
7b1c1b7c |
692 | Standard_Real Eps = Max (Epsilon(AbsUMax), Precision::PConfusion()); |
7fd59977 |
693 | Standard_Real NewU1, NewU2; |
694 | Standard_Real U, DU=0; |
695 | Standard_Integer i, k, index; |
696 | // |
697 | //f |
698 | // Checking the input bounds aUj (j=1,2). |
699 | // For the case when aUj==knot(i), |
700 | // in order to prevent the insertion of a new knot that will be too closed |
701 | // to the existing knot, |
702 | // we assign Uj=knot(i) |
703 | Standard_Integer n1, n2; |
704 | Standard_Real U1, U2; |
705 | // |
706 | U1=aU1; |
707 | U2=aU2; |
708 | n1=knots->Lower(); |
709 | n2=knots->Upper(); |
710 | for (i=n1; i<=n2; ++i) { |
711 | U=knots->Value(i); |
712 | if (Abs(U-aU1)<=Eps) { |
713 | U1=U; |
714 | } |
715 | else if (Abs(U-aU2)<=Eps) { |
716 | U2=U; |
717 | } |
718 | } |
719 | // Henceforward we use U1, U2 as bounds of the segment |
720 | //t |
721 | // |
722 | TColStd_Array1OfReal Knots(1,2); |
723 | TColStd_Array1OfInteger Mults(1,2); |
724 | // |
725 | // define param ditance to keep (eap, Apr 18 2002, occ311) |
726 | if (periodic) { |
727 | Standard_Real Period = LastParameter() - FirstParameter(); |
728 | DU = U2 - U1; |
369a38aa |
729 | if (DU - Period > Precision::PConfusion()) |
730 | Standard_DomainError::Raise("Geom2d_BSplineCurve::Segment"); |
731 | if (DU > Period) |
7fd59977 |
732 | DU = Period; |
7fd59977 |
733 | } |
734 | // |
735 | index = 0; |
736 | BSplCLib::LocateParameter(deg,knots->Array1(),mults->Array1(), |
737 | U1,periodic,knots->Lower(),knots->Upper(), |
738 | index,NewU1); |
739 | index = 0; |
740 | BSplCLib::LocateParameter(deg,knots->Array1(),mults->Array1(), |
741 | U2,periodic,knots->Lower(),knots->Upper(), |
742 | index,NewU2); |
743 | Knots(1) = Min( NewU1, NewU2); |
744 | Knots(2) = Max( NewU1, NewU2); |
745 | Mults(1) = Mults( 2) = deg; |
746 | InsertKnots(Knots, Mults, Eps); |
747 | |
748 | if (periodic) { // set the origine at NewU1 |
749 | index = 0; |
750 | BSplCLib::LocateParameter(deg,knots->Array1(),mults->Array1(), |
751 | U1,periodic,knots->Lower(),knots->Upper(), |
752 | index,U); |
753 | // Eps = Epsilon(knots->Value(index+1)); |
754 | if ( Abs(knots->Value(index+1)-U) <= Eps) { |
755 | index++; |
756 | } |
757 | SetOrigin(index); |
758 | SetNotPeriodic(); |
759 | NewU2 = NewU1 + DU; |
760 | } |
761 | |
762 | // compute index1 and index2 to set the new knots and mults |
763 | Standard_Integer index1 = 0, index2 = 0; |
764 | Standard_Integer FromU1 = knots->Lower(); |
765 | Standard_Integer ToU2 = knots->Upper(); |
766 | BSplCLib::LocateParameter(deg,knots->Array1(),mults->Array1(), |
767 | NewU1,periodic,FromU1,ToU2,index1,U); |
768 | BSplCLib::LocateParameter(deg,knots->Array1(),mults->Array1(), |
769 | NewU2,periodic,FromU1,ToU2,index2,U); |
770 | // Eps = Epsilon(knots->Value(index2+1)); |
771 | if ( Abs(knots->Value(index2+1)-U) <= Eps){ |
772 | index2++; |
773 | } |
774 | |
775 | Standard_Integer nbknots = index2 - index1 + 1; |
776 | |
777 | Handle(TColStd_HArray1OfReal) |
778 | nknots = new TColStd_HArray1OfReal(1,nbknots); |
779 | Handle(TColStd_HArray1OfInteger) |
780 | nmults = new TColStd_HArray1OfInteger(1,nbknots); |
781 | |
782 | // to restore changed U1 |
783 | if (DU > 0) {// if was periodic |
784 | DU = NewU1 - U1; |
785 | } |
786 | // |
787 | k = 1; |
788 | // |
789 | for ( i = index1; i<= index2; i++) { |
790 | nknots->SetValue(k, knots->Value(i) - DU); |
791 | nmults->SetValue(k, mults->Value(i)); |
792 | k++; |
793 | } |
794 | nmults->SetValue( 1, deg + 1); |
795 | nmults->SetValue(nbknots, deg + 1); |
796 | |
797 | |
798 | // compute index1 and index2 to set the new poles and weights |
799 | Standard_Integer pindex1 |
800 | = BSplCLib::PoleIndex(deg,index1,periodic,mults->Array1()); |
801 | Standard_Integer pindex2 |
802 | = BSplCLib::PoleIndex(deg,index2,periodic,mults->Array1()); |
803 | |
804 | pindex1++; |
805 | pindex2 = Min( pindex2+1, poles->Length()); |
806 | |
807 | Standard_Integer nbpoles = pindex2 - pindex1 + 1; |
808 | |
809 | Handle(TColStd_HArray1OfReal) |
810 | nweights = new TColStd_HArray1OfReal(1,nbpoles); |
811 | Handle(TColgp_HArray1OfPnt2d) |
812 | npoles = new TColgp_HArray1OfPnt2d(1,nbpoles); |
813 | |
814 | k = 1; |
815 | if ( rational) { |
816 | nweights = new TColStd_HArray1OfReal( 1, nbpoles); |
817 | for ( i = pindex1; i <= pindex2; i++) { |
818 | npoles->SetValue(k, poles->Value(i)); |
819 | nweights->SetValue(k, weights->Value(i)); |
820 | k++; |
821 | } |
822 | } |
823 | else { |
824 | for ( i = pindex1; i <= pindex2; i++) { |
825 | npoles->SetValue(k, poles->Value(i)); |
826 | k++; |
827 | } |
828 | } |
829 | |
830 | knots = nknots; |
831 | mults = nmults; |
832 | poles = npoles; |
833 | if (rational){ |
834 | weights = nweights; |
835 | } |
836 | UpdateKnots(); |
837 | } |
838 | |
839 | //======================================================================= |
840 | //function : SetKnot |
841 | //purpose : |
842 | //======================================================================= |
843 | |
844 | void Geom2d_BSplineCurve::SetKnot |
845 | (const Standard_Integer Index, |
846 | const Standard_Real K) |
847 | { |
848 | if (Index < 1 || Index > knots->Length()) Standard_OutOfRange::Raise("BSpline curve : SetKnot: Index and #pole mismatch"); |
849 | Standard_Real DK = Abs(Epsilon (K)); |
850 | if (Index == 1) { |
851 | if (K >= knots->Value(2) - DK) Standard_ConstructionError::Raise("BSpline curve :SetKnot :K out of range"); |
852 | } |
853 | else if (Index == knots->Length()) { |
854 | if (K <= knots->Value (knots->Length()-1) + DK) { |
855 | Standard_ConstructionError::Raise("BSpline curve : SetKnot : K out of range"); |
856 | } |
857 | } |
858 | else { |
859 | if (K <= knots->Value(Index-1) + DK || |
860 | K >= knots->Value(Index+1) - DK ) { |
861 | Standard_ConstructionError::Raise("BSpline curve : SetKnot: K out of range"); |
862 | } |
863 | } |
864 | if (K != knots->Value (Index)) { |
865 | knots->SetValue (Index, K); |
866 | maxderivinvok = 0; |
867 | UpdateKnots(); |
868 | } |
869 | } |
870 | |
871 | //======================================================================= |
872 | //function : SetKnots |
873 | //purpose : |
874 | //======================================================================= |
875 | |
876 | void Geom2d_BSplineCurve::SetKnots |
877 | (const TColStd_Array1OfReal& K) |
878 | { |
879 | CheckCurveData(poles->Array1(),K,mults->Array1(),deg,periodic); |
880 | knots->ChangeArray1() = K; |
881 | maxderivinvok = 0; |
882 | UpdateKnots(); |
883 | } |
884 | |
885 | //======================================================================= |
886 | //function : SetKnot |
887 | //purpose : |
888 | //======================================================================= |
889 | |
890 | void Geom2d_BSplineCurve::SetKnot |
891 | (const Standard_Integer Index, |
892 | const Standard_Real K, |
893 | const Standard_Integer M) |
894 | { |
895 | IncreaseMultiplicity (Index, M); |
896 | SetKnot (Index, K); |
897 | } |
898 | |
899 | //======================================================================= |
900 | //function : SetPeriodic |
901 | //purpose : |
902 | //======================================================================= |
903 | |
904 | void Geom2d_BSplineCurve::SetPeriodic () |
905 | { |
906 | Standard_Integer first = FirstUKnotIndex(); |
907 | Standard_Integer last = LastUKnotIndex(); |
908 | |
909 | Handle(TColStd_HArray1OfReal) tk = knots; |
910 | TColStd_Array1OfReal cknots((knots->Array1())(first),first,last); |
911 | knots = new TColStd_HArray1OfReal(1,cknots.Length()); |
912 | knots->ChangeArray1() = cknots; |
913 | |
914 | Handle(TColStd_HArray1OfInteger) tm = mults; |
915 | TColStd_Array1OfInteger cmults((mults->Array1())(first),first,last); |
916 | cmults(first) = cmults(last) = Min(deg, Max( cmults(first), cmults(last))); |
917 | mults = new TColStd_HArray1OfInteger(1,cmults.Length()); |
918 | mults->ChangeArray1() = cmults; |
919 | |
920 | // compute new number of poles; |
921 | Standard_Integer nbp = BSplCLib::NbPoles(deg,Standard_True,cmults); |
922 | |
923 | Handle(TColgp_HArray1OfPnt2d) tp = poles; |
924 | TColgp_Array1OfPnt2d cpoles((poles->Array1())(1),1,nbp); |
925 | poles = new TColgp_HArray1OfPnt2d(1,nbp); |
926 | poles->ChangeArray1() = cpoles; |
927 | |
928 | if (rational) { |
929 | Handle(TColStd_HArray1OfReal) tw = weights; |
930 | TColStd_Array1OfReal cweights((weights->Array1())(1),1,nbp); |
931 | weights = new TColStd_HArray1OfReal(1,nbp); |
932 | weights->ChangeArray1() = cweights; |
933 | } |
934 | |
935 | periodic = Standard_True; |
936 | |
937 | maxderivinvok = 0; |
938 | UpdateKnots(); |
939 | } |
940 | |
941 | //======================================================================= |
942 | //function : SetOrigin |
943 | //purpose : |
944 | //======================================================================= |
945 | |
946 | void Geom2d_BSplineCurve::SetOrigin(const Standard_Integer Index) |
947 | { |
369a38aa |
948 | if (!periodic) |
949 | Standard_NoSuchObject::Raise("Geom2d_BSplineCurve::SetOrigin"); |
7fd59977 |
950 | Standard_Integer i,k; |
951 | Standard_Integer first = FirstUKnotIndex(); |
952 | Standard_Integer last = LastUKnotIndex(); |
953 | |
369a38aa |
954 | if ((Index < first) || (Index > last)) |
955 | Standard_DomainError::Raise("Geom2d_BSplineCurve::SetOrigin"); |
7fd59977 |
956 | |
957 | Standard_Integer nbknots = knots->Length(); |
958 | Standard_Integer nbpoles = poles->Length(); |
959 | |
960 | Handle(TColStd_HArray1OfReal) nknots = |
961 | new TColStd_HArray1OfReal(1,nbknots); |
962 | TColStd_Array1OfReal& newknots = nknots->ChangeArray1(); |
963 | |
964 | Handle(TColStd_HArray1OfInteger) nmults = |
965 | new TColStd_HArray1OfInteger(1,nbknots); |
966 | TColStd_Array1OfInteger& newmults = nmults->ChangeArray1(); |
967 | |
968 | // set the knots and mults |
969 | Standard_Real period = knots->Value(last) - knots->Value(first); |
970 | k = 1; |
971 | for ( i = Index; i <= last ; i++) { |
972 | newknots(k) = knots->Value(i); |
973 | newmults(k) = mults->Value(i); |
974 | k++; |
975 | } |
976 | for ( i = first+1; i <= Index; i++) { |
977 | newknots(k) = knots->Value(i) + period; |
978 | newmults(k) = mults->Value(i); |
979 | k++; |
980 | } |
981 | |
982 | Standard_Integer index = 1; |
983 | for (i = first+1; i <= Index; i++) |
984 | index += mults->Value(i); |
985 | |
986 | // set the poles and weights |
987 | Handle(TColgp_HArray1OfPnt2d) npoles = |
988 | new TColgp_HArray1OfPnt2d(1,nbpoles); |
989 | Handle(TColStd_HArray1OfReal) nweights = |
990 | new TColStd_HArray1OfReal(1,nbpoles); |
991 | TColgp_Array1OfPnt2d & newpoles = npoles->ChangeArray1(); |
992 | TColStd_Array1OfReal & newweights = nweights->ChangeArray1(); |
993 | first = poles->Lower(); |
994 | last = poles->Upper(); |
995 | if ( rational) { |
996 | k = 1; |
997 | for ( i = index; i <= last; i++) { |
998 | newpoles(k) = poles->Value(i); |
999 | newweights(k) = weights->Value(i); |
1000 | k++; |
1001 | } |
1002 | for ( i = first; i < index; i++) { |
1003 | newpoles(k) = poles->Value(i); |
1004 | newweights(k) = weights->Value(i); |
1005 | k++; |
1006 | } |
1007 | } |
1008 | else { |
1009 | k = 1; |
1010 | for ( i = index; i <= last; i++) { |
1011 | newpoles(k) = poles->Value(i); |
1012 | k++; |
1013 | } |
1014 | for ( i = first; i < index; i++) { |
1015 | newpoles(k) = poles->Value(i); |
1016 | k++; |
1017 | } |
1018 | } |
1019 | |
1020 | poles = npoles; |
1021 | knots = nknots; |
1022 | mults = nmults; |
1023 | if (rational) |
1024 | weights = nweights; |
1025 | maxderivinvok = 0; |
1026 | UpdateKnots(); |
1027 | } |
1028 | |
1029 | //======================================================================= |
1030 | //function : SetNotPeriodic |
1031 | //purpose : |
1032 | //======================================================================= |
1033 | |
1034 | void Geom2d_BSplineCurve::SetNotPeriodic () |
1035 | { |
1036 | if (periodic) { |
1037 | Standard_Integer NbKnots, NbPoles; |
1038 | BSplCLib::PrepareUnperiodize( deg, mults->Array1(),NbKnots,NbPoles); |
1039 | |
1040 | Handle(TColgp_HArray1OfPnt2d) npoles |
1041 | = new TColgp_HArray1OfPnt2d(1,NbPoles); |
1042 | |
1043 | Handle(TColStd_HArray1OfReal) nknots |
1044 | = new TColStd_HArray1OfReal(1,NbKnots); |
1045 | |
1046 | Handle(TColStd_HArray1OfInteger) nmults |
1047 | = new TColStd_HArray1OfInteger(1,NbKnots); |
1048 | |
1049 | Handle(TColStd_HArray1OfReal) nweights; |
1050 | |
1051 | if (IsRational()) { |
1052 | |
1053 | nweights = new TColStd_HArray1OfReal(1,NbPoles); |
1054 | |
1055 | BSplCLib::Unperiodize |
1056 | (deg,mults->Array1(),knots->Array1(),poles->Array1(), |
0e14656b |
1057 | &weights->Array1(),nmults->ChangeArray1(), |
7fd59977 |
1058 | nknots->ChangeArray1(),npoles->ChangeArray1(), |
0e14656b |
1059 | &nweights->ChangeArray1()); |
7fd59977 |
1060 | |
1061 | } |
1062 | else { |
1063 | |
1064 | BSplCLib::Unperiodize |
1065 | (deg,mults->Array1(),knots->Array1(),poles->Array1(), |
0e14656b |
1066 | BSplCLib::NoWeights(),nmults->ChangeArray1(), |
7fd59977 |
1067 | nknots->ChangeArray1(),npoles->ChangeArray1(), |
0e14656b |
1068 | BSplCLib::NoWeights()); |
7fd59977 |
1069 | |
1070 | } |
1071 | poles = npoles; |
1072 | weights = nweights; |
1073 | mults = nmults; |
1074 | knots = nknots; |
1075 | periodic = Standard_False; |
1076 | maxderivinvok = 0; |
1077 | UpdateKnots(); |
1078 | } |
1079 | } |
1080 | |
1081 | //======================================================================= |
1082 | //function : SetPole |
1083 | //purpose : |
1084 | //======================================================================= |
1085 | |
1086 | void Geom2d_BSplineCurve::SetPole |
1087 | (const Standard_Integer Index, |
1088 | const gp_Pnt2d& P) |
1089 | { |
1090 | if (Index < 1 || Index > poles->Length()) Standard_OutOfRange::Raise("BSpline curve : SetPole : index and #pole mismatch"); |
1091 | poles->SetValue (Index, P); |
1092 | maxderivinvok = 0; |
7fd59977 |
1093 | } |
1094 | |
1095 | //======================================================================= |
1096 | //function : SetPole |
1097 | //purpose : |
1098 | //======================================================================= |
1099 | |
1100 | void Geom2d_BSplineCurve::SetPole |
1101 | (const Standard_Integer Index, |
1102 | const gp_Pnt2d& P, |
1103 | const Standard_Real W) |
1104 | { |
1105 | SetPole(Index,P); |
1106 | SetWeight(Index,W); |
1107 | } |
1108 | |
1109 | //======================================================================= |
1110 | //function : SetWeight |
1111 | //purpose : |
1112 | //======================================================================= |
1113 | |
1114 | void Geom2d_BSplineCurve::SetWeight |
1115 | (const Standard_Integer Index, |
1116 | const Standard_Real W) |
1117 | { |
1118 | if (Index < 1 || Index > poles->Length()) Standard_OutOfRange::Raise("BSpline curve : SetWeight: Index and #pole mismatch"); |
1119 | |
1120 | if (W <= gp::Resolution ()) Standard_ConstructionError::Raise("BSpline curve : SetWeight: Weight too small"); |
1121 | |
1122 | |
1123 | Standard_Boolean rat = IsRational() || (Abs(W - 1.) > gp::Resolution()); |
1124 | |
1125 | if ( rat) { |
1126 | if (rat && !IsRational()) { |
1127 | weights = new TColStd_HArray1OfReal(1,poles->Length()); |
1128 | weights->Init(1.); |
1129 | } |
1130 | |
1131 | weights->SetValue (Index, W); |
1132 | |
1133 | if (IsRational()) { |
1134 | rat = Rational(weights->Array1()); |
1135 | if (!rat) weights.Nullify(); |
1136 | } |
1137 | |
1138 | rational = !weights.IsNull(); |
1139 | } |
1140 | |
1141 | maxderivinvok = 0; |
7fd59977 |
1142 | } |
1143 | |
1144 | //======================================================================= |
1145 | //function : MovePoint |
1146 | //purpose : |
1147 | //======================================================================= |
1148 | |
1149 | void Geom2d_BSplineCurve::MovePoint(const Standard_Real U, |
94f71cad |
1150 | const gp_Pnt2d& P, |
1151 | const Standard_Integer Index1, |
1152 | const Standard_Integer Index2, |
1153 | Standard_Integer& FirstModifiedPole, |
1154 | Standard_Integer& LastmodifiedPole) |
7fd59977 |
1155 | { |
1156 | if (Index1 < 1 || Index1 > poles->Length() || |
1157 | Index2 < 1 || Index2 > poles->Length() || Index1 > Index2) { |
1158 | Standard_OutOfRange::Raise("BSpline curve : MovePoint: Index and #pole mismatch"); |
1159 | } |
1160 | TColgp_Array1OfPnt2d npoles(1, poles->Length()); |
1161 | gp_Pnt2d P0; |
1162 | D0(U, P0); |
1163 | gp_Vec2d Displ(P0, P); |
1164 | BSplCLib::MovePoint(U, Displ, Index1, Index2, deg, rational, poles->Array1(), |
94f71cad |
1165 | weights->Array1(), flatknots->Array1(), |
1166 | FirstModifiedPole, LastmodifiedPole, npoles); |
7fd59977 |
1167 | if (FirstModifiedPole) { |
1168 | poles->ChangeArray1() = npoles; |
1169 | maxderivinvok = 0; |
7fd59977 |
1170 | } |
1171 | } |
1172 | |
1173 | //======================================================================= |
1174 | //function : MovePointAndTangent |
1175 | //purpose : |
1176 | //======================================================================= |
1177 | |
1178 | void Geom2d_BSplineCurve:: |
1179 | MovePointAndTangent(const Standard_Real U, |
1180 | const gp_Pnt2d& P, |
1181 | const gp_Vec2d& Tangent, |
1182 | const Standard_Real Tolerance, |
1183 | const Standard_Integer StartingCondition, |
1184 | const Standard_Integer EndingCondition, |
1185 | Standard_Integer& ErrorStatus) |
1186 | { |
1187 | Standard_Integer ii ; |
1188 | if (IsPeriodic()) { |
1189 | // |
1190 | // for the time being do not deal with periodic curves |
1191 | // |
1192 | SetNotPeriodic() ; |
1193 | } |
1194 | TColgp_Array1OfPnt2d new_poles(1, poles->Length()); |
1195 | gp_Pnt2d P0; |
1196 | |
1197 | |
1198 | gp_Vec2d delta_derivative; |
1199 | D1(U, P0, |
1200 | delta_derivative) ; |
1201 | gp_Vec2d delta(P0, P); |
1202 | for (ii = 1 ; ii <= 2 ; ii++) { |
1203 | delta_derivative.SetCoord(ii, |
1204 | Tangent.Coord(ii)- delta_derivative.Coord(ii)) ; |
1205 | } |
1206 | BSplCLib::MovePointAndTangent(U, |
1207 | delta, |
1208 | delta_derivative, |
1209 | Tolerance, |
1210 | deg, |
1211 | rational, |
1212 | StartingCondition, |
1213 | EndingCondition, |
1214 | poles->Array1(), |
1215 | weights->Array1(), |
1216 | flatknots->Array1(), |
1217 | new_poles, |
1218 | ErrorStatus) ; |
1219 | if (!ErrorStatus) { |
1220 | poles->ChangeArray1() = new_poles; |
1221 | maxderivinvok = 0; |
7fd59977 |
1222 | } |
1223 | } |
1224 | |
1225 | //======================================================================= |
1226 | //function : UpdateKnots |
1227 | //purpose : |
1228 | //======================================================================= |
1229 | |
1230 | void Geom2d_BSplineCurve::UpdateKnots() |
1231 | { |
1232 | |
1233 | rational = !weights.IsNull(); |
1234 | |
1235 | Standard_Integer MaxKnotMult = 0; |
06be28a4 |
1236 | BSplCLib::KnotAnalysis (deg, |
7fd59977 |
1237 | periodic, |
1238 | knots->Array1(), |
1239 | mults->Array1(), |
1240 | knotSet, MaxKnotMult); |
1241 | |
1242 | if (knotSet == GeomAbs_Uniform && !periodic) { |
1243 | flatknots = knots; |
1244 | } |
1245 | else { |
1246 | flatknots = new TColStd_HArray1OfReal |
1247 | (1, BSplCLib::KnotSequenceLength(mults->Array1(),deg,periodic)); |
1248 | |
1249 | BSplCLib::KnotSequence (knots->Array1(), |
1250 | mults->Array1(), |
1251 | deg,periodic, |
1252 | flatknots->ChangeArray1()); |
1253 | } |
1254 | |
1255 | if (MaxKnotMult == 0) smooth = GeomAbs_CN; |
1256 | else { |
1257 | switch (deg - MaxKnotMult) { |
1258 | case 0 : smooth = GeomAbs_C0; break; |
1259 | case 1 : smooth = GeomAbs_C1; break; |
1260 | case 2 : smooth = GeomAbs_C2; break; |
1261 | case 3 : smooth = GeomAbs_C3; break; |
1262 | default : smooth = GeomAbs_C3; break; |
1263 | } |
1264 | } |
7fd59977 |
1265 | } |
1266 | |
1267 | //======================================================================= |
1268 | //function : Normalizes the parameters if the curve is periodic |
1269 | //purpose : that is compute the cache so that it is valid |
1270 | //======================================================================= |
1271 | |
1272 | void Geom2d_BSplineCurve::PeriodicNormalization(Standard_Real& Parameter) const |
1273 | { |
1274 | Standard_Real Period ; |
1275 | |
1276 | if (periodic) { |
1277 | Period = flatknots->Value(flatknots->Upper() - deg) - flatknots->Value (deg + 1) ; |
1278 | while (Parameter > flatknots->Value(flatknots->Upper()-deg)) { |
1279 | Parameter -= Period ; |
1280 | } |
1281 | while (Parameter < flatknots->Value((deg + 1))) { |
1282 | Parameter += Period ; |
1283 | } |
1284 | } |
1285 | } |
1286 | |