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b311480e | 1 | // Created on: 1993-09-07 |
2 | // Created by: Bruno DUMORTIER | |
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. | |
b311480e | 16 | |
7fd59977 | 17 | // modified by NIZHNY-OFV Thu Jan 20 11:04:19 2005 |
18 | ||
19 | #include <ProjLib_ComputeApprox.hxx> | |
20 | ||
21 | #include <GeomAbs_SurfaceType.hxx> | |
22 | #include <GeomAbs_CurveType.hxx> | |
23 | #include <AppCont_Function2d.hxx> | |
24 | #include <Convert_CompBezierCurves2dToBSplineCurve2d.hxx> | |
25 | #include <ElSLib.hxx> | |
26 | #include <ElCLib.hxx> | |
27 | #include <BSplCLib.hxx> | |
28 | #include <Standard_NoSuchObject.hxx> | |
29 | #include <Geom_UndefinedDerivative.hxx> | |
30 | #include <gp.hxx> | |
31 | #include <gp_Trsf.hxx> | |
32 | #include <Precision.hxx> | |
33 | #include <Approx_FitAndDivide2d.hxx> | |
34 | #include <AppParCurves_MultiCurve.hxx> | |
7fd59977 | 35 | #include <Adaptor3d_HCurve.hxx> |
7fd59977 | 36 | #include <Adaptor3d_HSurface.hxx> |
37 | #include <TColgp_Array1OfPnt2d.hxx> | |
38 | #include <TColgp_Array1OfPnt.hxx> | |
39 | #include <TColStd_Array1OfReal.hxx> | |
40 | #include <TColStd_Array1OfInteger.hxx> | |
41 | #include <Geom_BSplineCurve.hxx> | |
42 | #include <Geom_BezierCurve.hxx> | |
43 | #include <Geom2d_BSplineCurve.hxx> | |
44 | #include <Geom2d_BezierCurve.hxx> | |
45 | ||
8e007da7 | 46 | //#define DRAW |
7fd59977 | 47 | #ifdef DRAW |
48 | #include <DrawTrSurf.hxx> | |
49 | #endif | |
0797d9d3 | 50 | #ifdef OCCT_DEBUG |
7fd59977 | 51 | static Standard_Boolean AffichValue = Standard_False; |
52 | #endif | |
53 | ||
7fd59977 | 54 | //======================================================================= |
55 | //function : IsEqual | |
56 | //purpose : | |
57 | //======================================================================= | |
58 | // OFV: | |
59 | static inline Standard_Boolean IsEqual(Standard_Real Check,Standard_Real With,Standard_Real Toler) | |
60 | { | |
61 | return ((Abs(Check - With) < Toler) ? Standard_True : Standard_False); | |
62 | } | |
63 | ||
64 | ||
65 | //======================================================================= | |
66 | //function : Value | |
67 | //purpose : | |
68 | //======================================================================= | |
69 | ||
70 | static gp_Pnt2d Function_Value(const Standard_Real U, | |
71 | const Handle(Adaptor3d_HCurve)& myCurve, | |
72 | const Handle(Adaptor3d_HSurface)& mySurface, | |
73 | const Standard_Real U1, | |
74 | const Standard_Real U2, | |
75 | const Standard_Real V1, | |
76 | const Standard_Real V2, | |
77 | const Standard_Boolean UCouture, | |
78 | const Standard_Boolean VCouture ) | |
79 | { | |
1d47d8d0 | 80 | Standard_Real S = 0., T = 0.; |
7fd59977 | 81 | |
82 | gp_Pnt P3d = myCurve->Value(U); | |
83 | GeomAbs_SurfaceType SType = mySurface->GetType(); | |
84 | ||
85 | switch ( SType ) { | |
86 | ||
87 | case GeomAbs_Plane: | |
88 | { | |
89 | gp_Pln Plane = mySurface->Plane(); | |
90 | ElSLib::Parameters( Plane, P3d, S, T); | |
91 | break; | |
92 | } | |
93 | case GeomAbs_Cylinder: | |
94 | { | |
95 | gp_Cylinder Cylinder = mySurface->Cylinder(); | |
96 | ElSLib::Parameters( Cylinder, P3d, S, T); | |
97 | break; | |
98 | } | |
99 | case GeomAbs_Cone: | |
100 | { | |
101 | gp_Cone Cone = mySurface->Cone(); | |
102 | ElSLib::Parameters( Cone, P3d, S, T); | |
103 | break; | |
104 | } | |
105 | case GeomAbs_Sphere: | |
106 | { | |
107 | gp_Sphere Sphere = mySurface->Sphere(); | |
108 | ElSLib::Parameters(Sphere, P3d, S, T); | |
109 | break; | |
110 | } | |
111 | case GeomAbs_Torus: | |
112 | { | |
113 | gp_Torus Torus = mySurface->Torus(); | |
114 | ElSLib::Parameters( Torus, P3d, S, T); | |
115 | break; | |
116 | } | |
117 | default: | |
118 | Standard_NoSuchObject::Raise("ProjLib_ComputeApprox::Value"); | |
119 | } | |
120 | ||
121 | if ( UCouture) { | |
ef2d8af7 | 122 | if(S < U1 || S > U2) |
123 | S = ElCLib::InPeriod(S, U1, U2); | |
7fd59977 | 124 | } |
125 | ||
126 | if ( VCouture) { | |
127 | if(SType == GeomAbs_Sphere) { | |
c6541a0c | 128 | if ( Abs( S - U1 ) > M_PI ) { |
ef2d8af7 | 129 | T = M_PI - T; |
130 | S = M_PI + S; | |
7fd59977 | 131 | } |
ef2d8af7 | 132 | if(S > U1 || S < U2) |
133 | S = ElCLib::InPeriod(S, U1, U2); | |
7fd59977 | 134 | } |
ef2d8af7 | 135 | if(T < V1 || T > V2) |
136 | T = ElCLib::InPeriod(T, V1, V2); | |
7fd59977 | 137 | } |
138 | ||
139 | return gp_Pnt2d(S, T); | |
140 | } | |
141 | //======================================================================= | |
142 | //function : D1 | |
143 | //purpose : | |
144 | //======================================================================= | |
145 | static Standard_Boolean Function_D1( const Standard_Real U, | |
146 | gp_Pnt2d& P, | |
147 | gp_Vec2d& D, | |
148 | const Handle(Adaptor3d_HCurve)& myCurve, | |
149 | const Handle(Adaptor3d_HSurface)& mySurface, | |
150 | const Standard_Real U1, | |
151 | const Standard_Real U2, | |
152 | const Standard_Real V1, | |
153 | const Standard_Real V2, | |
154 | const Standard_Boolean UCouture, | |
155 | const Standard_Boolean VCouture ) | |
156 | { | |
157 | gp_Pnt P3d; | |
158 | Standard_Real dU, dV; | |
159 | ||
160 | P = Function_Value(U,myCurve,mySurface,U1,U2,V1,V2,UCouture,VCouture); | |
161 | ||
162 | GeomAbs_SurfaceType Type = mySurface->GetType(); | |
163 | ||
164 | switch ( Type) { | |
165 | case GeomAbs_Plane: | |
166 | case GeomAbs_Cone: | |
167 | case GeomAbs_Cylinder: | |
168 | case GeomAbs_Sphere: | |
169 | case GeomAbs_Torus: | |
170 | { | |
171 | gp_Vec D1U, D1V; | |
172 | gp_Vec T; | |
173 | myCurve->D1(U,P3d,T); | |
174 | mySurface->D1(P.X(),P.Y(),P3d,D1U,D1V); | |
175 | ||
176 | dU = T.Dot(D1U); | |
177 | dV = T.Dot(D1V); | |
178 | Standard_Real Nu = D1U.SquareMagnitude(); | |
179 | Standard_Real Nv = D1V.SquareMagnitude(); | |
180 | ||
181 | if ( Nu < Epsilon(1.) || Nv < Epsilon(1.)) | |
ef2d8af7 | 182 | return Standard_False; |
7fd59977 | 183 | |
184 | dU /= Nu; | |
185 | dV /= Nv; | |
186 | D = gp_Vec2d( dU, dV); | |
187 | } | |
188 | break; | |
189 | ||
190 | default: | |
191 | return Standard_False; | |
192 | } | |
193 | ||
194 | return Standard_True; | |
195 | } | |
196 | ||
197 | //======================================================================= | |
198 | //function : Function_SetUVBounds | |
199 | //purpose : | |
200 | //======================================================================= | |
201 | static void Function_SetUVBounds(Standard_Real& myU1, | |
202 | Standard_Real& myU2, | |
203 | Standard_Real& myV1, | |
204 | Standard_Real& myV2, | |
205 | Standard_Boolean& UCouture, | |
206 | Standard_Boolean& VCouture, | |
207 | const Handle(Adaptor3d_HCurve)& myCurve, | |
208 | const Handle(Adaptor3d_HSurface)& mySurface) | |
209 | { | |
210 | Standard_Real W1, W2, W; | |
211 | gp_Pnt P1, P2, P; | |
212 | // | |
213 | W1 = myCurve->FirstParameter(); | |
214 | W2 = myCurve->LastParameter (); | |
215 | W = 0.5*(W1+W2); | |
216 | // on ouvre l`intervalle | |
217 | // W1 += 1.0e-9; | |
218 | // W2 -= 1.0e-9; | |
219 | P1 = myCurve->Value(W1); | |
220 | P2 = myCurve->Value(W2); | |
221 | P = myCurve->Value(W); | |
222 | ||
223 | switch ( mySurface->GetType()) { | |
224 | ||
ef2d8af7 | 225 | case GeomAbs_Cone: { |
226 | gp_Cone Cone = mySurface->Cone(); | |
227 | VCouture = Standard_False; | |
228 | ||
229 | switch( myCurve->GetType() ){ | |
230 | case GeomAbs_Parabola: | |
231 | case GeomAbs_Hyperbola: | |
232 | case GeomAbs_Ellipse:{ | |
233 | Standard_Real U1, U2, V1, V2, U , V; | |
234 | ElSLib::Parameters( Cone, P1, U1, V1); | |
235 | ElSLib::Parameters( Cone, P2, U2, V2); | |
236 | ElSLib::Parameters( Cone, P , U , V ); | |
237 | myU1 = Min(U1,U2); | |
238 | myU2 = Max(U1,U2); | |
239 | if ( ( U1 < U && U < U2 ) && !myCurve->IsClosed() ) { | |
240 | UCouture = Standard_False; | |
241 | } | |
242 | else { | |
243 | UCouture = Standard_True; | |
244 | myU2 = myU1 + 2*M_PI; | |
245 | } | |
246 | ||
7fd59977 | 247 | } |
7fd59977 | 248 | break; |
ef2d8af7 | 249 | default: { |
250 | Standard_Real U1, V1, U , V, Delta = 0., d = 0., pmin = W1, pmax = W1, dmax = 0., Uf, Ul; | |
251 | ElSLib::Parameters( Cone, P1, U1, V1); | |
252 | ElSLib::Parameters( Cone, P2, Ul, V1); | |
253 | myU1 = U1; myU2 = U1; Uf = U1; | |
254 | Standard_Real Step = .1; | |
255 | Standard_Integer nbp = (Standard_Integer)((W2 - W1) / Step + 1); | |
256 | nbp = Max(nbp, 3); | |
257 | Step = (W2 - W1) / (nbp - 1); | |
258 | Standard_Boolean isclandper = (!(myCurve->IsClosed()) && !(myCurve->IsPeriodic())); | |
259 | for(Standard_Real par = W1 + Step; par <= W2; par += Step) { | |
260 | if(!isclandper) par += Step; | |
261 | P = myCurve->Value(par); | |
262 | ElSLib::Parameters( Cone, P, U, V); | |
263 | U += Delta; | |
264 | d = U - U1; | |
265 | if(d > M_PI) { | |
266 | if( ( (IsEqual(U,(2*M_PI),1.e-10) && (U1 >= 0. && U1 <= M_PI)) && | |
267 | (IsEqual(U,Ul,1.e-10) && !IsEqual(Uf,0.,1.e-10)) ) && isclandper ) U = 0.; | |
268 | else Delta -= 2*M_PI; | |
269 | U += Delta; | |
270 | d = U - U1; | |
271 | } | |
272 | else if(d < -M_PI) { | |
273 | if( ( (IsEqual(U,0.,1.e-10) && (U1 >= M_PI && U1 <= (2*M_PI))) && | |
274 | (IsEqual(U,Ul,1.e-10) && !IsEqual(Uf,(2*M_PI),1.e-10)) ) && isclandper ) U = 2*M_PI; | |
275 | else Delta += 2*M_PI; | |
276 | U += Delta; | |
277 | d = U - U1; | |
278 | } | |
279 | dmax = Max(dmax, Abs(d)); | |
280 | if(U < myU1) {myU1 = U; pmin = par;} | |
281 | if(U > myU2) {myU2 = U; pmax = par;} | |
282 | U1 = U; | |
283 | } | |
284 | ||
285 | if(!(Abs(pmin - W1) <= Precision::PConfusion() || Abs(pmin - W2) <= Precision::PConfusion()) ) myU1 -= dmax*.5; | |
286 | if(!(Abs(pmax - W1) <= Precision::PConfusion() || Abs(pmax - W2) <= Precision::PConfusion()) ) myU2 += dmax*.5; | |
287 | ||
288 | if((myU1 >=0. && myU1 <= 2*M_PI) && (myU2 >=0. && myU2 <= 2*M_PI) ) UCouture = Standard_False; | |
289 | else{ | |
290 | U = ( myU1 + myU2 ) /2.; | |
291 | myU1 = U - M_PI; | |
292 | myU2 = U + M_PI; | |
293 | UCouture = Standard_True; | |
294 | } | |
7fd59977 | 295 | } |
7fd59977 | 296 | break; |
297 | }// switch curve type | |
298 | }// case Cone | |
ef2d8af7 | 299 | break; |
300 | ||
7fd59977 | 301 | case GeomAbs_Cylinder: { |
302 | gp_Cylinder Cylinder = mySurface->Cylinder(); | |
303 | VCouture = Standard_False; | |
ef2d8af7 | 304 | |
7fd59977 | 305 | if (myCurve->GetType() == GeomAbs_Ellipse) { |
ef2d8af7 | 306 | |
7fd59977 | 307 | Standard_Real U1, U2, V1, V2, U , V; |
308 | ElSLib::Parameters( Cylinder, P1, U1, V1); | |
309 | ElSLib::Parameters( Cylinder, P2, U2, V2); | |
310 | ElSLib::Parameters( Cylinder, P , U , V ); | |
311 | myU1 = Min(U1,U2); | |
312 | myU2 = Max(U1,U2); | |
ef2d8af7 | 313 | |
7fd59977 | 314 | if ( !myCurve->IsClosed()) { |
ef2d8af7 | 315 | if ( myU1 < U && U < myU2) { |
316 | U = ( myU1 + myU2 ) /2.; | |
317 | myU1 = U - M_PI; | |
318 | myU2 = U + M_PI; | |
319 | } | |
320 | else { | |
321 | U = ( myU1 + myU2 ) /2.; | |
322 | if ( myU1 < U) { | |
323 | myU1 = U - 2*M_PI; | |
324 | myU2 = U; | |
325 | } | |
326 | else { | |
327 | myU1 = U; | |
328 | myU2 = U + 2*M_PI; | |
329 | } | |
330 | } | |
331 | UCouture = Standard_True; | |
7fd59977 | 332 | } |
333 | else { | |
ef2d8af7 | 334 | gp_Vec D1U, D1V; |
335 | gp_Vec T; | |
336 | gp_Pnt P3d; | |
337 | myCurve->D1(W1,P3d,T); | |
338 | mySurface->D1(U1,U2,P3d,D1U,D1V); | |
339 | Standard_Real dU = T.Dot(D1U); | |
340 | ||
341 | UCouture = Standard_True; | |
342 | if ( dU > 0.) { | |
343 | myU2 = myU1 + 2*M_PI; | |
344 | } | |
345 | else { | |
346 | myU2 = myU1; | |
347 | myU1 -= 2*M_PI; | |
348 | } | |
7fd59977 | 349 | } |
350 | } | |
351 | else { | |
352 | Standard_Real U1, V1, U , V; | |
353 | ElSLib::Parameters( Cylinder, P1, U1, V1); | |
354 | Standard_Real Step = .1, Delta = 0.; | |
c6541a0c | 355 | Standard_Real eps = M_PI, dmax = 0., d = 0.; |
7fd59977 | 356 | Standard_Integer nbp = (Standard_Integer)((W2 - W1) / Step + 1); |
357 | nbp = Max(nbp, 3); | |
358 | Step = (W2 - W1) / (nbp - 1); | |
359 | myU1 = U1; myU2 = U1; | |
360 | Standard_Real pmin = W1, pmax = W1, plim = W2+.1*Step; | |
361 | for(Standard_Real par = W1 + Step; par <= plim; par += Step) { | |
ef2d8af7 | 362 | P = myCurve->Value(par); |
363 | ElSLib::Parameters( Cylinder, P, U, V); | |
364 | U += Delta; | |
365 | d = U - U1; | |
366 | if(d > eps) { | |
367 | U -= Delta; | |
368 | Delta -= 2*M_PI; | |
369 | U += Delta; | |
370 | d = U - U1; | |
371 | } | |
372 | else if(d < -eps) { | |
373 | U -= Delta; | |
374 | Delta += 2*M_PI; | |
375 | U += Delta; | |
376 | d = U - U1; | |
377 | } | |
378 | dmax = Max(dmax, Abs(d)); | |
379 | if(U < myU1) {myU1 = U; pmin = par;} | |
380 | if(U > myU2) {myU2 = U; pmax = par;} | |
381 | U1 = U; | |
7fd59977 | 382 | } |
ef2d8af7 | 383 | |
7fd59977 | 384 | if(!(Abs(pmin - W1) <= Precision::PConfusion() || |
ef2d8af7 | 385 | Abs(pmin - W2) <= Precision::PConfusion()) ) myU1 -= dmax*.5; |
7fd59977 | 386 | if(!(Abs(pmax - W1) <= Precision::PConfusion() || |
ef2d8af7 | 387 | Abs(pmax - W2) <= Precision::PConfusion()) ) myU2 += dmax*.5; |
388 | ||
c6541a0c | 389 | if((myU1 >=0. && myU1 <= 2*M_PI) && |
ef2d8af7 | 390 | (myU2 >=0. && myU2 <= 2*M_PI) ) { |
391 | UCouture = Standard_False; | |
7fd59977 | 392 | } |
393 | else { | |
ef2d8af7 | 394 | U = ( myU1 + myU2 ) /2.; |
395 | myU1 = U - M_PI; | |
396 | myU2 = U + M_PI; | |
397 | UCouture = Standard_True; | |
7fd59977 | 398 | } |
399 | } | |
400 | } | |
ef2d8af7 | 401 | break; |
402 | // | |
7fd59977 | 403 | case GeomAbs_Sphere:{ |
404 | VCouture = Standard_False; | |
405 | gp_Sphere SP = mySurface->Sphere(); | |
406 | if ( myCurve->GetType() == GeomAbs_Circle) { | |
407 | UCouture = Standard_True; | |
ef2d8af7 | 408 | |
7fd59977 | 409 | // on cherche a savoir le nombre de fois que la couture est |
410 | // traversee. | |
411 | // si 0 ou 2 fois : la PCurve est fermee et dans l`intervalle | |
412 | // [Uc-PI, Uc+PI] (Uc: U du centre du cercle) | |
413 | // si 1 fois : la PCurve est ouverte et dans l`intervalle | |
414 | // [U1, U1 +/- 2*PI] | |
415 | ||
416 | // pour determiner le nombre de solution, on resoud le systeme | |
417 | // x^2 + y^2 + z^2 = R^2 (1) | |
418 | // A x + B y + C z + D = 0 (2) | |
419 | // x > 0 (3) | |
420 | // y = 0 (4) | |
421 | // REM : (1) (2) : equation du cercle | |
422 | // (1) (3) (4) : equation de la couture. | |
423 | Standard_Integer NbSolutions = 0; | |
424 | Standard_Real A, B, C, D, R, Tol = 1.e-10; | |
96a95605 | 425 | Standard_Real U1, U2, V1, V2; |
7fd59977 | 426 | gp_Trsf Trsf; |
427 | // | |
7fd59977 | 428 | gp_Circ Circle = myCurve->Circle(); |
429 | Trsf.SetTransformation(SP.Position()); | |
430 | Circle.Transform(Trsf); | |
431 | // | |
432 | R = SP.Radius(); | |
433 | gp_Pln Plane( gp_Ax3(Circle.Position())); | |
434 | Plane.Coefficients(A,B,C,D); | |
435 | // | |
436 | if ( Abs(C) < Tol) { | |
ef2d8af7 | 437 | if ( Abs(A) > Tol) { |
438 | if ( (D/A) < 0.) { | |
439 | if ( ( R - Abs(D/A)) > Tol) NbSolutions = 2; | |
440 | else if ( Abs(R - Abs(D/A))< Tol) NbSolutions = 1; | |
441 | else NbSolutions = 0; | |
442 | } | |
443 | } | |
7fd59977 | 444 | } |
445 | else { | |
ef2d8af7 | 446 | Standard_Real delta = R*R*(A*A+C*C) - D*D; |
447 | delta *= C*C; | |
448 | if ( Abs(delta) < Tol*Tol) { | |
449 | if ( A*D > 0.) NbSolutions = 1; | |
450 | } | |
451 | else if ( delta > 0) { | |
452 | Standard_Real xx; | |
453 | delta = Sqrt(delta); | |
454 | xx = -A*D+delta; | |
455 | // | |
456 | if ( xx > Tol) NbSolutions++; | |
457 | xx = -A*D-delta; | |
458 | // | |
459 | if ( xx > Tol) NbSolutions++; | |
460 | } | |
7fd59977 | 461 | } |
462 | // | |
463 | ||
464 | // box+sphere >> | |
465 | Standard_Real UU = 0.; | |
466 | ElSLib::Parameters(SP, P1, U1, V1); | |
8e007da7 | 467 | Standard_Real eps = 10.*Epsilon(1.); |
ef2d8af7 | 468 | Standard_Real dt = Max(Precision::PConfusion(), 0.01*(W2-W1)); |
469 | if(Abs(U1) < eps) | |
470 | { | |
471 | //May be U1 must be equal 2*PI? | |
472 | gp_Pnt Pd = myCurve->Value(W1+dt); | |
473 | Standard_Real ud, vd; | |
474 | ElSLib::Parameters(SP, Pd, ud, vd); | |
475 | if(Abs(U1 - ud) > M_PI) | |
476 | { | |
477 | U1 = 2.*M_PI; | |
478 | } | |
479 | } | |
480 | else if(Abs(2.*M_PI - U1) < eps) | |
481 | { | |
482 | //maybe U1 = 0.? | |
483 | gp_Pnt Pd = myCurve->Value(W1+dt); | |
484 | Standard_Real ud, vd; | |
485 | ElSLib::Parameters(SP, Pd, ud, vd); | |
486 | if(Abs(U1 - ud) > M_PI) | |
487 | { | |
488 | U1 = 0.; | |
489 | } | |
490 | } | |
491 | // | |
7fd59977 | 492 | ElSLib::Parameters(SP, P2, U2, V1); |
ef2d8af7 | 493 | if(Abs(U2) < eps) |
494 | { | |
495 | //May be U2 must be equal 2*PI? | |
496 | gp_Pnt Pd = myCurve->Value(W2-dt); | |
497 | Standard_Real ud, vd; | |
498 | ElSLib::Parameters(SP, Pd, ud, vd); | |
499 | if(Abs(U2 - ud) > M_PI) | |
500 | { | |
501 | U2 = 2.*M_PI; | |
502 | } | |
503 | } | |
504 | else if(Abs(2.*M_PI - U2) < eps) | |
505 | { | |
506 | //maybe U2 = 0.? | |
507 | gp_Pnt Pd = myCurve->Value(W2-dt); | |
508 | Standard_Real ud, vd; | |
509 | ElSLib::Parameters(SP, Pd, ud, vd); | |
510 | if(Abs(U2 - ud) > M_PI) | |
511 | { | |
512 | U2 = 0.; | |
513 | } | |
514 | } | |
515 | // | |
7fd59977 | 516 | ElSLib::Parameters(SP, P, UU, V1); |
517 | Standard_Real UUmi = Min(Min(U1,UU),Min(UU,U2)); | |
518 | Standard_Real UUma = Max(Max(U1,UU),Max(UU,U2)); | |
c6541a0c | 519 | Standard_Boolean reCalc = ((UUmi >= 0. && UUmi <= M_PI) && (UUma >= 0. && UUma <= M_PI)); |
7fd59977 | 520 | // box+sphere << |
c6541a0c | 521 | P2 = myCurve->Value(W1+M_PI/8); |
7fd59977 | 522 | ElSLib::Parameters(SP,P2,U2,V2); |
523 | // | |
524 | if ( NbSolutions == 1) { | |
ef2d8af7 | 525 | if ( Abs(U1-U2) > M_PI) { // on traverse la couture |
526 | if ( U1 > M_PI) { | |
527 | myU1 = U1; | |
528 | myU2 = U1+2*M_PI; | |
529 | } | |
530 | else { | |
531 | myU2 = U1; | |
532 | myU1 = U1-2*M_PI; | |
533 | } | |
534 | } | |
535 | else { // on ne traverse pas la couture | |
536 | if ( U1 > U2) { | |
537 | myU2 = U1; | |
538 | myU1 = U1-2*M_PI; | |
539 | } | |
540 | else { | |
541 | myU1 = U1; | |
542 | myU2 = U1+2*M_PI; | |
543 | } | |
544 | } | |
7fd59977 | 545 | } |
546 | else { // 0 ou 2 solutions | |
ef2d8af7 | 547 | gp_Pnt Center = Circle.Location(); |
548 | Standard_Real U,V; | |
549 | ElSLib::SphereParameters(gp_Ax3(gp::XOY()),1,Center, U, V); | |
550 | myU1 = U-M_PI; | |
551 | myU2 = U+M_PI; | |
7fd59977 | 552 | } |
553 | // | |
554 | // eval the VCouture. | |
555 | if ( (C==0) || Abs(Abs(D/C)-R) > 1.e-10) { | |
ef2d8af7 | 556 | VCouture = Standard_False; |
7fd59977 | 557 | } |
558 | else { | |
ef2d8af7 | 559 | VCouture = Standard_True; |
560 | UCouture = Standard_True; | |
561 | ||
562 | if ( D/C < 0.) { | |
563 | myV1 = - M_PI / 2.; | |
564 | myV2 = 3 * M_PI / 2.; | |
565 | } | |
566 | else { | |
567 | myV1 = -3 * M_PI / 2.; | |
568 | myV2 = M_PI / 2.; | |
569 | } | |
570 | ||
571 | // si P1.Z() vaut +/- R on est sur le sommet : pas significatif. | |
572 | gp_Pnt pp = P1.Transformed(Trsf); | |
573 | ||
574 | if ( Abs( Abs(pp.Z()) - R) < Tol) { | |
575 | gp_Pnt Center = Circle.Location(); | |
576 | Standard_Real U,V; | |
577 | ElSLib::SphereParameters(gp_Ax3(gp::XOY()),1,Center, U, V); | |
578 | myU1 = U-M_PI; | |
579 | myU2 = U+M_PI; | |
580 | VCouture = Standard_False; | |
581 | } | |
7fd59977 | 582 | } |
ef2d8af7 | 583 | |
7fd59977 | 584 | // box+sphere >> |
585 | myV1 = -1.e+100; myV2 = 1.e+100; | |
586 | Standard_Real UU1 = myU1, UU2 = myU2; | |
c6541a0c | 587 | if((Abs(UU1) <= (2.*M_PI) && Abs(UU2) <= (2.*M_PI)) && NbSolutions == 1 && reCalc) { |
ef2d8af7 | 588 | gp_Pnt Center = Circle.Location(); |
589 | Standard_Real U,V; | |
590 | ElSLib::SphereParameters(gp_Ax3(gp::XOY()),1,Center, U, V); | |
591 | myU1 = U-M_PI; | |
592 | myU1 = Min(UU1,myU1); | |
593 | myU2 = myU1 + 2.*M_PI; | |
7fd59977 | 594 | } |
595 | // box+sphere << | |
596 | ||
597 | }//if ( myCurve->GetType() == GeomAbs_Circle) | |
598 | ||
599 | else { | |
600 | Standard_Real U1, V1, U , V; | |
601 | ElSLib::Parameters( SP, P1, U1, V1); | |
602 | Standard_Real Step = .1, Delta = 0.; | |
c6541a0c | 603 | Standard_Real eps = M_PI, dmax = 0., d = 0.; |
7fd59977 | 604 | Standard_Integer nbp = (Standard_Integer)((W2 - W1) / Step + 1); |
605 | nbp = Max(nbp, 3); | |
606 | Step = (W2 - W1) / (nbp - 1); | |
607 | myU1 = U1; myU2 = U1; | |
608 | Standard_Real pmin = W1, pmax = W1, plim = W2+.1*Step; | |
609 | for(Standard_Real par = W1 + Step; par <= plim; par += Step) { | |
ef2d8af7 | 610 | P = myCurve->Value(par); |
611 | ElSLib::Parameters( SP, P, U, V); | |
612 | U += Delta; | |
613 | d = U - U1; | |
614 | if(d > eps) { | |
615 | U -= Delta; | |
616 | Delta -= 2*M_PI; | |
617 | U += Delta; | |
618 | d = U - U1; | |
619 | } | |
620 | else if(d < -eps) { | |
621 | U -= Delta; | |
622 | Delta += 2*M_PI; | |
623 | U += Delta; | |
624 | d = U - U1; | |
625 | } | |
626 | dmax = Max(dmax, Abs(d)); | |
627 | if(U < myU1) {myU1 = U; pmin = par;} | |
628 | if(U > myU2) {myU2 = U; pmax = par;} | |
629 | U1 = U; | |
7fd59977 | 630 | } |
ef2d8af7 | 631 | |
7fd59977 | 632 | if(!(Abs(pmin - W1) <= Precision::PConfusion() || |
ef2d8af7 | 633 | Abs(pmin - W2) <= Precision::PConfusion()) ) myU1 -= dmax*.5; |
7fd59977 | 634 | if(!(Abs(pmax - W1) <= Precision::PConfusion() || |
ef2d8af7 | 635 | Abs(pmax - W2) <= Precision::PConfusion()) ) myU2 += dmax*.5; |
636 | ||
c6541a0c | 637 | if((myU1 >=0. && myU1 <= 2*M_PI) && |
ef2d8af7 | 638 | (myU2 >=0. && myU2 <= 2*M_PI) ) { |
639 | myU1 = 0.; | |
640 | myU2 = 2.*M_PI; | |
641 | UCouture = Standard_False; | |
7fd59977 | 642 | } |
643 | else { | |
ef2d8af7 | 644 | U = ( myU1 + myU2 ) /2.; |
645 | myU1 = U - M_PI; | |
646 | myU2 = U + M_PI; | |
647 | UCouture = Standard_True; | |
7fd59977 | 648 | } |
ef2d8af7 | 649 | |
7fd59977 | 650 | VCouture = Standard_False; |
651 | } | |
652 | } | |
ef2d8af7 | 653 | break; |
654 | // | |
7fd59977 | 655 | case GeomAbs_Torus:{ |
656 | gp_Torus TR = mySurface->Torus(); | |
657 | Standard_Real U1, V1, U , V; | |
658 | ElSLib::Parameters( TR, P1, U1, V1); | |
659 | Standard_Real Step = .1, DeltaU = 0., DeltaV = 0.; | |
c6541a0c | 660 | Standard_Real eps = M_PI, dmaxU = 0., dU = 0., dmaxV = 0., dV = 0.; |
7fd59977 | 661 | Standard_Integer nbp = (Standard_Integer)((W2 - W1) / Step + 1); |
662 | nbp = Max(nbp, 3); | |
663 | Step = (W2 - W1) / (nbp - 1); | |
664 | myU1 = U1; myU2 = U1; | |
665 | myV1 = V1; myV2 = V1; | |
666 | Standard_Real pminU = W1, pmaxU = W1, pminV = W1, pmaxV = W1, | |
ef2d8af7 | 667 | plim = W2+.1*Step; |
7fd59977 | 668 | for(Standard_Real par = W1 + Step; par <= plim; par += Step) { |
669 | P = myCurve->Value(par); | |
670 | ElSLib::Parameters( TR, P, U, V); | |
671 | U += DeltaU; | |
672 | V += DeltaV; | |
673 | dU = U - U1; | |
674 | dV = V - V1; | |
675 | if(dU > eps) { | |
ef2d8af7 | 676 | U -= DeltaU; |
677 | DeltaU -= 2*M_PI; | |
678 | U += DeltaU; | |
679 | dU = U - U1; | |
7fd59977 | 680 | } |
681 | else if(dU < -eps) { | |
ef2d8af7 | 682 | U -= DeltaU; |
683 | DeltaU += 2*M_PI; | |
684 | U += DeltaU; | |
685 | dU = U - U1; | |
7fd59977 | 686 | } |
687 | if(dV > eps) { | |
ef2d8af7 | 688 | V -= DeltaV; |
689 | DeltaV -= 2*M_PI; | |
690 | V += DeltaV; | |
691 | dV = V - V1; | |
7fd59977 | 692 | } |
693 | else if(dV < -eps) { | |
ef2d8af7 | 694 | V -= DeltaV; |
695 | DeltaV += 2*M_PI; | |
696 | V += DeltaV; | |
697 | dV = V - V1; | |
7fd59977 | 698 | } |
699 | dmaxU = Max(dmaxU, Abs(dU)); | |
700 | dmaxV = Max(dmaxV, Abs(dV)); | |
701 | if(U < myU1) {myU1 = U; pminU = par;} | |
702 | if(U > myU2) {myU2 = U; pmaxU = par;} | |
703 | if(V < myV1) {myV1 = V; pminV = par;} | |
704 | if(V > myV2) {myV2 = V; pmaxV = par;} | |
705 | U1 = U; | |
706 | V1 = V; | |
707 | } | |
ef2d8af7 | 708 | |
7fd59977 | 709 | if(!(Abs(pminU - W1) <= Precision::PConfusion() || |
ef2d8af7 | 710 | Abs(pminU - W2) <= Precision::PConfusion()) ) myU1 -= dmaxU*.5; |
7fd59977 | 711 | if(!(Abs(pmaxU - W1) <= Precision::PConfusion() || |
ef2d8af7 | 712 | Abs(pmaxU - W2) <= Precision::PConfusion()) ) myU2 += dmaxU*.5; |
7fd59977 | 713 | if(!(Abs(pminV - W1) <= Precision::PConfusion() || |
ef2d8af7 | 714 | Abs(pminV - W2) <= Precision::PConfusion()) ) myV1 -= dmaxV*.5; |
7fd59977 | 715 | if(!(Abs(pmaxV - W1) <= Precision::PConfusion() || |
ef2d8af7 | 716 | Abs(pmaxV - W2) <= Precision::PConfusion()) ) myV2 += dmaxV*.5; |
717 | ||
c6541a0c | 718 | if((myU1 >=0. && myU1 <= 2*M_PI) && |
ef2d8af7 | 719 | (myU2 >=0. && myU2 <= 2*M_PI) ) { |
720 | myU1 = 0.; | |
721 | myU2 = 2.*M_PI; | |
722 | UCouture = Standard_False; | |
7fd59977 | 723 | } |
724 | else { | |
725 | U = ( myU1 + myU2 ) /2.; | |
c6541a0c D |
726 | myU1 = U - M_PI; |
727 | myU2 = U + M_PI; | |
7fd59977 | 728 | UCouture = Standard_True; |
729 | } | |
c6541a0c | 730 | if((myV1 >=0. && myV1 <= 2*M_PI) && |
ef2d8af7 | 731 | (myV2 >=0. && myV2 <= 2*M_PI) ) { |
732 | VCouture = Standard_False; | |
7fd59977 | 733 | } |
734 | else { | |
735 | V = ( myV1 + myV2 ) /2.; | |
c6541a0c D |
736 | myV1 = V - M_PI; |
737 | myV2 = V + M_PI; | |
ef2d8af7 | 738 | VCouture = Standard_True; |
7fd59977 | 739 | } |
ef2d8af7 | 740 | |
7fd59977 | 741 | } |
ef2d8af7 | 742 | break; |
743 | ||
7fd59977 | 744 | default: |
745 | { | |
746 | UCouture = Standard_False; | |
747 | VCouture = Standard_False; | |
748 | } | |
749 | break; | |
750 | } | |
751 | } | |
752 | // | |
7fd59977 | 753 | // |
754 | //======================================================================= | |
755 | //classn : ProjLib_Function | |
756 | //purpose : | |
757 | //======================================================================= | |
758 | class ProjLib_Function : public AppCont_Function2d | |
759 | { | |
760 | Handle(Adaptor3d_HCurve) myCurve; | |
761 | Handle(Adaptor3d_HSurface) mySurface; | |
762 | ||
763 | public : | |
764 | ||
765 | Standard_Real myU1,myU2,myV1,myV2; | |
766 | Standard_Boolean UCouture,VCouture; | |
767 | ||
768 | ProjLib_Function(const Handle(Adaptor3d_HCurve)& C, | |
769 | const Handle(Adaptor3d_HSurface)& S) : | |
770 | myCurve(C), mySurface(S), | |
771 | myU1(0.0), | |
772 | myU2(0.0), | |
773 | myV1(0.0), | |
774 | myV2(0.0), | |
775 | UCouture(Standard_False), | |
776 | VCouture(Standard_False) | |
777 | {Function_SetUVBounds(myU1,myU2,myV1,myV2,UCouture,VCouture,myCurve,mySurface);} | |
778 | ||
779 | Standard_Real FirstParameter() const | |
780 | {return (myCurve->FirstParameter() + 1.e-9);} | |
781 | ||
782 | Standard_Real LastParameter() const | |
783 | {return (myCurve->LastParameter() -1.e-9);} | |
784 | ||
785 | ||
786 | gp_Pnt2d Value(const Standard_Real t) const | |
787 | {return Function_Value(t,myCurve,mySurface,myU1,myU2,myV1,myV2,UCouture,VCouture);} | |
788 | ||
789 | Standard_Boolean D1(const Standard_Real t, gp_Pnt2d& P, gp_Vec2d& V) const | |
790 | {return Function_D1(t,P,V,myCurve,mySurface,myU1,myU2,myV1,myV2,UCouture,VCouture);} | |
791 | }; | |
792 | ||
793 | //======================================================================= | |
794 | //function : ProjLib_ComputeApprox | |
795 | //purpose : | |
796 | //======================================================================= | |
797 | ||
798 | ProjLib_ComputeApprox::ProjLib_ComputeApprox | |
799 | (const Handle(Adaptor3d_HCurve) & C, | |
800 | const Handle(Adaptor3d_HSurface) & S, | |
801 | const Standard_Real Tol ) | |
802 | { | |
803 | // if the surface is a plane and the curve a BSpline or a BezierCurve, | |
804 | // don`t make an Approx but only the projection of the poles. | |
805 | ||
806 | myTolerance = Max(Precision::PApproximation(),Tol); | |
807 | Standard_Integer NbKnots, NbPoles ; | |
808 | GeomAbs_CurveType CType = C->GetType(); | |
809 | GeomAbs_SurfaceType SType = S->GetType(); | |
810 | ||
811 | Standard_Boolean SurfIsAnal = (SType != GeomAbs_BSplineSurface) && | |
812 | (SType != GeomAbs_BezierSurface) && | |
813 | (SType != GeomAbs_OtherSurface) ; | |
814 | ||
815 | Standard_Boolean CurvIsAnal = (CType != GeomAbs_BSplineCurve) && | |
816 | (CType != GeomAbs_BezierCurve) && | |
817 | (CType != GeomAbs_OtherCurve) ; | |
818 | ||
819 | Standard_Boolean simplecase = SurfIsAnal && CurvIsAnal; | |
820 | ||
821 | if (CType == GeomAbs_BSplineCurve && | |
822 | SType == GeomAbs_Plane ) { | |
823 | ||
824 | // get the poles and eventually the weights | |
825 | Handle(Geom_BSplineCurve) BS = C->BSpline(); | |
826 | NbPoles = BS->NbPoles(); | |
827 | TColgp_Array1OfPnt P3d( 1, NbPoles); | |
828 | TColgp_Array1OfPnt2d Poles( 1, NbPoles); | |
829 | TColStd_Array1OfReal Weights( 1, NbPoles); | |
830 | if ( BS->IsRational()) BS->Weights(Weights); | |
831 | BS->Poles( P3d); | |
832 | gp_Pln Plane = S->Plane(); | |
833 | Standard_Real U,V; | |
834 | for ( Standard_Integer i = 1; i <= NbPoles; i++) { | |
835 | ElSLib::Parameters( Plane, P3d(i), U, V); | |
836 | Poles.SetValue(i,gp_Pnt2d(U,V)); | |
837 | } | |
838 | NbKnots = BS->NbKnots(); | |
839 | TColStd_Array1OfReal Knots(1,NbKnots); | |
840 | TColStd_Array1OfInteger Mults(1,NbKnots); | |
841 | BS->Knots(Knots) ; | |
842 | BS->Multiplicities(Mults) ; | |
843 | // get the knots and mults if BSplineCurve | |
844 | if ( BS->IsRational()) { | |
845 | myBSpline = new Geom2d_BSplineCurve(Poles, | |
846 | Weights, | |
847 | Knots, | |
848 | Mults, | |
849 | BS->Degree(), | |
850 | BS->IsPeriodic()); | |
851 | } | |
852 | else { | |
853 | myBSpline = new Geom2d_BSplineCurve(Poles, | |
854 | Knots, | |
855 | Mults, | |
856 | BS->Degree(), | |
857 | BS->IsPeriodic()); | |
858 | } | |
859 | } | |
860 | else if (CType == GeomAbs_BezierCurve && | |
861 | SType == GeomAbs_Plane ) { | |
862 | ||
863 | // get the poles and eventually the weights | |
864 | Handle(Geom_BezierCurve) BezierCurvePtr = C->Bezier() ; | |
865 | NbPoles = BezierCurvePtr->NbPoles(); | |
866 | TColgp_Array1OfPnt P3d( 1, NbPoles); | |
867 | TColgp_Array1OfPnt2d Poles( 1, NbPoles); | |
868 | TColStd_Array1OfReal Weights( 1, NbPoles); | |
869 | if ( BezierCurvePtr->IsRational()) { | |
870 | BezierCurvePtr->Weights(Weights); | |
871 | } | |
872 | BezierCurvePtr->Poles( P3d); | |
873 | ||
874 | // project the 3D-Poles on the plane | |
875 | ||
876 | gp_Pln Plane = S->Plane(); | |
877 | Standard_Real U,V; | |
878 | for ( Standard_Integer i = 1; i <= NbPoles; i++) { | |
879 | ElSLib::Parameters( Plane, P3d(i), U, V); | |
880 | Poles.SetValue(i,gp_Pnt2d(U,V)); | |
881 | } | |
882 | if ( BezierCurvePtr->IsRational()) { | |
883 | myBezier = new Geom2d_BezierCurve(Poles, Weights); | |
884 | } | |
885 | else { | |
886 | myBezier = new Geom2d_BezierCurve(Poles); | |
887 | } | |
888 | } | |
889 | else { | |
890 | ProjLib_Function F( C, S); | |
891 | ||
0797d9d3 | 892 | #ifdef OCCT_DEBUG |
7fd59977 | 893 | if ( AffichValue) { |
894 | Standard_Integer Nb = 20; | |
895 | Standard_Real U1, U2, dU, U; | |
896 | U1 = F.FirstParameter(); | |
897 | U2 = F.LastParameter(); | |
898 | dU = ( U2 - U1) / Nb; | |
899 | TColStd_Array1OfInteger Mults(1,Nb+1); | |
900 | TColStd_Array1OfReal Knots(1,Nb+1); | |
901 | TColgp_Array1OfPnt2d Poles(1,Nb+1); | |
902 | for ( Standard_Integer i = 1; i <= Nb+1; i++) { | |
ef2d8af7 | 903 | U = U1 + (i-1)*dU; |
904 | Poles(i) = F.Value(U); | |
905 | Knots(i) = i; | |
906 | Mults(i) = 1; | |
7fd59977 | 907 | } |
908 | Mults(1) = 2; | |
909 | Mults(Nb+1) = 2; | |
910 | #ifdef DRAW | |
911 | // POP pour NT | |
912 | char* ResultName = "Result"; | |
913 | DrawTrSurf::Set(ResultName,new Geom2d_BSplineCurve(Poles,Knots,Mults,1)); | |
914 | // DrawTrSurf::Set("Result",new Geom2d_BSplineCurve(Poles,Knots,Mults,1)); | |
915 | #endif | |
916 | } | |
917 | #endif | |
918 | ||
919 | //----------- | |
920 | Standard_Integer Deg1, Deg2; | |
921 | if(simplecase) { | |
922 | Deg1 = 8; | |
923 | Deg2 = 10; | |
924 | } | |
925 | else { | |
926 | Deg1 = 8; | |
927 | Deg2 = 12; | |
928 | } | |
929 | //------------- | |
930 | Approx_FitAndDivide2d Fit(F,Deg1,Deg2,myTolerance,myTolerance, | |
931 | Standard_True); | |
932 | if(Fit.IsAllApproximated()) { | |
933 | Standard_Integer i; | |
934 | Standard_Integer NbCurves = Fit.NbMultiCurves(); | |
935 | ||
936 | // on essaie de rendre la courbe au moins C1 | |
937 | Convert_CompBezierCurves2dToBSplineCurve2d Conv; | |
938 | ||
939 | myTolerance = 0; | |
940 | Standard_Real Tol3d,Tol2d; | |
941 | for (i = 1; i <= NbCurves; i++) { | |
ef2d8af7 | 942 | Fit.Error(i,Tol3d, Tol2d); |
943 | myTolerance = Max(myTolerance, Tol2d); | |
944 | AppParCurves_MultiCurve MC = Fit.Value( i); //Charge la Ieme Curve | |
945 | TColgp_Array1OfPnt2d Poles2d( 1, MC.Degree() + 1);//Recupere les poles | |
946 | MC.Curve(1, Poles2d); | |
947 | ||
948 | Conv.AddCurve(Poles2d); | |
7fd59977 | 949 | } |
950 | ||
951 | //mise a jour des fields de ProjLib_Approx | |
952 | Conv.Perform(); | |
953 | ||
954 | NbPoles = Conv.NbPoles(); | |
955 | NbKnots = Conv.NbKnots(); | |
956 | ||
957 | //7626 | |
958 | if(NbPoles <= 0 || NbPoles > 100000) | |
ef2d8af7 | 959 | return; |
7fd59977 | 960 | if(NbKnots <= 0 || NbKnots > 100000) |
ef2d8af7 | 961 | return; |
7fd59977 | 962 | |
963 | TColgp_Array1OfPnt2d NewPoles(1,NbPoles); | |
964 | TColStd_Array1OfReal NewKnots(1,NbKnots); | |
965 | TColStd_Array1OfInteger NewMults(1,NbKnots); | |
966 | ||
967 | Conv.KnotsAndMults(NewKnots,NewMults); | |
968 | Conv.Poles(NewPoles); | |
969 | ||
970 | BSplCLib::Reparametrize(C->FirstParameter(), | |
971 | C->LastParameter(), | |
972 | NewKnots); | |
973 | ||
974 | // il faut recadrer les poles de debut et de fin: | |
975 | // ( Car pour les problemes de couture, on a du ouvrir l`intervalle | |
976 | // de definition de la courbe.) | |
977 | // On choisit de calculer ces poles par prolongement de la courbe | |
978 | // approximee. | |
979 | ||
980 | gp_Pnt2d P; | |
981 | Standard_Real U; | |
982 | ||
983 | U = C->FirstParameter() - 1.e-9; | |
984 | BSplCLib::D0(U, | |
985 | 0, | |
986 | Conv.Degree(), | |
987 | Standard_False, | |
988 | NewPoles, | |
989 | BSplCLib::NoWeights(), | |
990 | NewKnots, | |
991 | NewMults, | |
992 | P); | |
993 | NewPoles.SetValue(1,P); | |
994 | U = C->LastParameter() + 1.e-9; | |
995 | BSplCLib::D0(U, | |
996 | 0, | |
997 | Conv.Degree(), | |
998 | Standard_False, | |
999 | NewPoles, | |
1000 | BSplCLib::NoWeights(), | |
1001 | NewKnots, | |
1002 | NewMults, | |
1003 | P); | |
1004 | NewPoles.SetValue(NbPoles,P); | |
1005 | myBSpline = new Geom2d_BSplineCurve (NewPoles, | |
1006 | NewKnots, | |
1007 | NewMults, | |
1008 | Conv.Degree()); | |
1009 | } | |
1010 | else { | |
1011 | Standard_Integer NbCurves = Fit.NbMultiCurves(); | |
1012 | if(NbCurves != 0) { | |
ef2d8af7 | 1013 | Standard_Real Tol3d,Tol2d; |
1014 | Fit.Error(NbCurves,Tol3d, Tol2d); | |
1015 | myTolerance = Tol2d; | |
7fd59977 | 1016 | } |
1017 | } | |
1018 | ||
1019 | //Return curve home | |
1020 | Standard_Real UFirst = F.FirstParameter(); | |
1021 | gp_Pnt P3d = C->Value( UFirst ); | |
1d47d8d0 | 1022 | Standard_Real u = 0., v = 0.; |
7fd59977 | 1023 | switch (SType) |
ef2d8af7 | 1024 | { |
1025 | case GeomAbs_Plane: | |
1026 | { | |
1027 | gp_Pln Plane = S->Plane(); | |
1028 | ElSLib::Parameters( Plane, P3d, u, v ); | |
1029 | break; | |
1030 | } | |
1031 | case GeomAbs_Cylinder: | |
1032 | { | |
1033 | gp_Cylinder Cylinder = S->Cylinder(); | |
1034 | ElSLib::Parameters( Cylinder, P3d, u, v ); | |
1035 | break; | |
1036 | } | |
1037 | case GeomAbs_Cone: | |
7fd59977 | 1038 | { |
ef2d8af7 | 1039 | gp_Cone Cone = S->Cone(); |
1040 | ElSLib::Parameters( Cone, P3d, u, v ); | |
1041 | break; | |
7fd59977 | 1042 | } |
ef2d8af7 | 1043 | case GeomAbs_Sphere: |
1044 | { | |
1045 | gp_Sphere Sphere = S->Sphere(); | |
1046 | ElSLib::Parameters( Sphere, P3d, u, v ); | |
1047 | break; | |
1048 | } | |
1049 | case GeomAbs_Torus: | |
1050 | { | |
1051 | gp_Torus Torus = S->Torus(); | |
1052 | ElSLib::Parameters( Torus, P3d, u, v ); | |
1053 | break; | |
1054 | } | |
1055 | default: | |
1056 | Standard_NoSuchObject::Raise("ProjLib_ComputeApprox::Value"); | |
1057 | } | |
7fd59977 | 1058 | Standard_Boolean ToMirror = Standard_False; |
1059 | Standard_Real du = 0., dv = 0.; | |
1060 | Standard_Integer number; | |
1061 | if (F.VCouture) | |
ef2d8af7 | 1062 | { |
1063 | if (SType == GeomAbs_Sphere && Abs(u-F.myU1) > M_PI) | |
7fd59977 | 1064 | { |
ef2d8af7 | 1065 | ToMirror = Standard_True; |
1066 | dv = -M_PI; | |
1067 | v = M_PI - v; | |
7fd59977 | 1068 | } |
ef2d8af7 | 1069 | Standard_Real newV = ElCLib::InPeriod( v, F.myV1, F.myV2 ); |
1070 | number = (Standard_Integer) (Floor((newV-v)/(F.myV2-F.myV1))); | |
1071 | dv -= number*(F.myV2-F.myV1); | |
1072 | } | |
1073 | if (F.UCouture || (F.VCouture && SType == GeomAbs_Sphere)) | |
1074 | { | |
6aa39ac3 | 1075 | Standard_Real aNbPer; |
1076 | gp_Pnt2d P2d = F.Value(UFirst); | |
1077 | du = u - P2d.X(); | |
1078 | du = (du < 0) ? (du - Precision::PConfusion()) : | |
1079 | (du + Precision::PConfusion()); | |
1080 | modf(du/M_PI, &aNbPer); | |
1081 | number = (Standard_Integer)aNbPer; | |
1082 | du = number*M_PI; | |
ef2d8af7 | 1083 | } |
7fd59977 | 1084 | |
1085 | if (!myBSpline.IsNull()) | |
ef2d8af7 | 1086 | { |
1087 | if (du != 0. || dv != 0.) | |
1088 | myBSpline->Translate( gp_Vec2d(du,dv) ); | |
1089 | if (ToMirror) | |
7fd59977 | 1090 | { |
ef2d8af7 | 1091 | gp_Ax2d Axe( gp_Pnt2d(0.,0.), gp_Dir2d(1.,0.) ); |
1092 | myBSpline->Mirror( Axe ); | |
7fd59977 | 1093 | } |
ef2d8af7 | 1094 | } |
7fd59977 | 1095 | } |
1096 | } | |
1097 | ||
1098 | //======================================================================= | |
1099 | //function : BSpline | |
1100 | //purpose : | |
1101 | //======================================================================= | |
1102 | ||
1103 | Handle(Geom2d_BSplineCurve) ProjLib_ComputeApprox::BSpline() const | |
1104 | ||
1105 | { | |
1106 | return myBSpline ; | |
1107 | } | |
1108 | ||
1109 | //======================================================================= | |
1110 | //function : Bezier | |
1111 | //purpose : | |
1112 | //======================================================================= | |
1113 | ||
1114 | Handle(Geom2d_BezierCurve) ProjLib_ComputeApprox::Bezier() const | |
1115 | ||
1116 | { | |
1117 | return myBezier ; | |
1118 | } | |
1119 | ||
1120 | ||
1121 | //======================================================================= | |
1122 | //function : Tolerance | |
1123 | //purpose : | |
1124 | //======================================================================= | |
1125 | ||
1126 | Standard_Real ProjLib_ComputeApprox::Tolerance() const | |
1127 | { | |
1128 | return myTolerance; | |
1129 | } | |
1130 | ||
1131 |