| 7fd59977 |
1 | // File: Geom2dAPI_PointsToBSpline.cxx |
| 2 | // Created: Wed Mar 23 15:28:27 1994 |
| 3 | // Author: Bruno DUMORTIER |
| 4 | // <dub@fuegox> |
| 5 | |
| 6 | #include <Geom2dAPI_PointsToBSpline.ixx> |
| 7 | |
| 8 | #include <AppDef_BSplineCompute.hxx> |
| 9 | #include <AppDef_MultiLine.hxx> |
| 10 | #include <AppParCurves_MultiBSpCurve.hxx> |
| 11 | #include <BSplCLib.hxx> |
| 12 | #include <TColStd_Array1OfInteger.hxx> |
| 13 | #include <TColStd_Array1OfReal.hxx> |
| 14 | #include <TColgp_Array1OfPnt2d.hxx> |
| 15 | #include <math_Vector.hxx> |
| 16 | #include <AppDef_MultiPointConstraint.hxx> |
| 17 | #include <AppParCurves_HArray1OfConstraintCouple.hxx> |
| 18 | #include <AppDef_TheVariational.hxx> |
| 19 | |
| 20 | |
| 21 | //======================================================================= |
| 22 | //function : Geom2dAPI_PointsToBSpline |
| 23 | //purpose : |
| 24 | //======================================================================= |
| 25 | |
| 26 | Geom2dAPI_PointsToBSpline::Geom2dAPI_PointsToBSpline() |
| 27 | { |
| 28 | myIsDone = Standard_False; |
| 29 | } |
| 30 | |
| 31 | |
| 32 | //======================================================================= |
| 33 | //function : Geom2dAPI_PointsToBSpline |
| 34 | //purpose : |
| 35 | //======================================================================= |
| 36 | |
| 37 | Geom2dAPI_PointsToBSpline::Geom2dAPI_PointsToBSpline |
| 38 | (const TColgp_Array1OfPnt2d& Points, |
| 39 | const Standard_Integer DegMin, |
| 40 | const Standard_Integer DegMax, |
| 41 | const GeomAbs_Shape Continuity, |
| 42 | const Standard_Real Tol2D) |
| 43 | { |
| 44 | Init(Points,DegMin,DegMax,Continuity,Tol2D); |
| 45 | } |
| 46 | |
| 47 | |
| 48 | //======================================================================= |
| 49 | //function : Geom2dAPI_PointsToBSpline |
| 50 | //purpose : |
| 51 | //======================================================================= |
| 52 | |
| 53 | Geom2dAPI_PointsToBSpline::Geom2dAPI_PointsToBSpline |
| 54 | (const TColStd_Array1OfReal& YValues, |
| 55 | const Standard_Real X0, |
| 56 | const Standard_Real DX, |
| 57 | const Standard_Integer DegMin, |
| 58 | const Standard_Integer DegMax, |
| 59 | const GeomAbs_Shape Continuity, |
| 60 | const Standard_Real Tol2D) |
| 61 | { |
| 62 | Init(YValues,X0,DX,DegMin,DegMax,Continuity,Tol2D); |
| 63 | } |
| 64 | |
| 65 | //======================================================================= |
| 66 | //function : Geom2dAPI_PointsToBSpline |
| 67 | //purpose : |
| 68 | //======================================================================= |
| 69 | |
| 70 | Geom2dAPI_PointsToBSpline::Geom2dAPI_PointsToBSpline |
| 71 | (const TColgp_Array1OfPnt2d& Points, |
| 72 | const Approx_ParametrizationType ParType, |
| 73 | const Standard_Integer DegMin, |
| 74 | const Standard_Integer DegMax, |
| 75 | const GeomAbs_Shape Continuity, |
| 76 | const Standard_Real Tol2D) |
| 77 | { |
| 78 | myIsDone = Standard_False; |
| 79 | Init(Points,ParType,DegMin,DegMax,Continuity,Tol2D); |
| 80 | } |
| 81 | |
| 82 | //======================================================================= |
| 83 | //function : Geom2dAPI_PointsToBSpline |
| 84 | //purpose : |
| 85 | //======================================================================= |
| 86 | |
| 87 | Geom2dAPI_PointsToBSpline::Geom2dAPI_PointsToBSpline |
| 88 | (const TColgp_Array1OfPnt2d& Points, |
| 89 | const TColStd_Array1OfReal& Params, |
| 90 | const Standard_Integer DegMin, |
| 91 | const Standard_Integer DegMax, |
| 92 | const GeomAbs_Shape Continuity, |
| 93 | const Standard_Real Tol2D) |
| 94 | { |
| 95 | myIsDone = Standard_False; |
| 96 | Init(Points,Params,DegMin,DegMax,Continuity,Tol2D); |
| 97 | } |
| 98 | |
| 99 | |
| 100 | //======================================================================= |
| 101 | //function : Geom2dAPI_PointsToBSpline |
| 102 | //purpose : |
| 103 | //======================================================================= |
| 104 | |
| 105 | Geom2dAPI_PointsToBSpline::Geom2dAPI_PointsToBSpline |
| 106 | (const TColgp_Array1OfPnt2d& Points, |
| 107 | const Standard_Real W1, |
| 108 | const Standard_Real W2, |
| 109 | const Standard_Real W3, |
| 110 | const Standard_Integer DegMax, |
| 111 | const GeomAbs_Shape Continuity, |
| 112 | const Standard_Real Tol2D) |
| 113 | { |
| 114 | myIsDone = Standard_False; |
| 115 | Init(Points,W1,W2,W3,DegMax,Continuity,Tol2D); |
| 116 | } |
| 117 | |
| 118 | |
| 119 | //======================================================================= |
| 120 | //function : Init |
| 121 | //purpose : |
| 122 | //======================================================================= |
| 123 | |
| 124 | void Geom2dAPI_PointsToBSpline::Init |
| 125 | (const TColgp_Array1OfPnt2d& Points, |
| 126 | const Approx_ParametrizationType ParType, |
| 127 | const Standard_Integer DegMin, |
| 128 | const Standard_Integer DegMax, |
| 129 | const GeomAbs_Shape Continuity, |
| 130 | const Standard_Real Tol2D) |
| 131 | { |
| 132 | Standard_Real Tol3D = 0.; // dummy argument for BSplineCompute. |
| 133 | |
| 134 | |
| 135 | Standard_Integer nbit = 2; |
| 136 | Standard_Boolean UseSquares = Standard_False; |
| 137 | if(Tol2D <= 1.e-3) UseSquares = Standard_True; |
| 138 | |
| 139 | AppDef_BSplineCompute TheComputer |
| 140 | (DegMin,DegMax,Tol3D,Tol2D,nbit,Standard_True,ParType,UseSquares); |
| 141 | |
| 142 | switch( Continuity) { |
| 143 | case GeomAbs_C0: |
| 144 | TheComputer.SetContinuity(0); break; |
| 145 | |
| 146 | case GeomAbs_G1: |
| 147 | case GeomAbs_C1: |
| 148 | TheComputer.SetContinuity(1); break; |
| 149 | |
| 150 | case GeomAbs_G2: |
| 151 | case GeomAbs_C2: |
| 152 | TheComputer.SetContinuity(2); break; |
| 153 | |
| 154 | default: |
| 155 | TheComputer.SetContinuity(3); |
| 156 | } |
| 157 | |
| 158 | TheComputer.Perform(Points); |
| 159 | |
| 160 | AppParCurves_MultiBSpCurve TheCurve = TheComputer.Value(); |
| 161 | |
| 162 | TColgp_Array1OfPnt2d Poles(1,TheCurve.NbPoles()); |
| 163 | |
| 164 | TheCurve.Curve(1, Poles); |
| 165 | |
| 166 | myCurve = new Geom2d_BSplineCurve(Poles, |
| 167 | TheCurve.Knots(), |
| 168 | TheCurve.Multiplicities(), |
| 169 | TheCurve.Degree()); |
| 170 | myIsDone = Standard_True; |
| 171 | } |
| 172 | |
| 173 | //======================================================================= |
| 174 | //function : Init |
| 175 | //purpose : |
| 176 | //======================================================================= |
| 177 | |
| 178 | void Geom2dAPI_PointsToBSpline::Init |
| 179 | (const TColStd_Array1OfReal& YValues, |
| 180 | const Standard_Real X0, |
| 181 | const Standard_Real DX, |
| 182 | const Standard_Integer DegMin, |
| 183 | const Standard_Integer DegMax, |
| 184 | const GeomAbs_Shape Continuity, |
| 185 | const Standard_Real Tol2D) |
| 186 | { |
| 187 | // first approximate the Y values (with dummy 0 as X values) |
| 188 | |
| 189 | Standard_Real Tol3D = 0.; // dummy argument for BSplineCompute. |
| 190 | TColgp_Array1OfPnt2d Points(YValues.Lower(),YValues.Upper()); |
| 191 | math_Vector Param(YValues.Lower(),YValues.Upper()); |
| 192 | Standard_Real length = DX * (YValues.Upper() - YValues.Lower()); |
| 193 | Standard_Integer i; |
| 194 | |
| 195 | for (i = YValues.Lower(); i <= YValues.Upper(); i++) { |
| 196 | Param(i) = (X0+(i-1)*DX)/(X0+length); |
| 197 | Points(i).SetCoord(0.0, YValues(i)); |
| 198 | } |
| 199 | |
| 200 | AppDef_BSplineCompute TheComputer |
| 201 | (Param, DegMin,DegMax,Tol3D,Tol2D,0, Standard_True, Standard_True); |
| 202 | |
| 203 | switch( Continuity) { |
| 204 | case GeomAbs_C0: |
| 205 | TheComputer.SetContinuity(0); break; |
| 206 | |
| 207 | case GeomAbs_G1: |
| 208 | case GeomAbs_C1: |
| 209 | TheComputer.SetContinuity(1); break; |
| 210 | |
| 211 | case GeomAbs_G2: |
| 212 | case GeomAbs_C2: |
| 213 | TheComputer.SetContinuity(2); break; |
| 214 | |
| 215 | default: |
| 216 | TheComputer.SetContinuity(3); |
| 217 | } |
| 218 | |
| 219 | TheComputer.Perform(Points); |
| 220 | |
| 221 | const AppParCurves_MultiBSpCurve& TheCurve = TheComputer.Value(); |
| 222 | |
| 223 | Standard_Integer Degree = TheCurve.Degree(); |
| 224 | TColgp_Array1OfPnt2d Poles(1,TheCurve.NbPoles()); |
| 225 | Standard_Integer nk = TheCurve.Knots().Length(); |
| 226 | TColStd_Array1OfReal Knots(1,nk); |
| 227 | TColStd_Array1OfInteger Mults(1,nk); |
| 228 | |
| 229 | TheCurve.Curve(1, Poles); |
| 230 | |
| 231 | |
| 232 | |
| 233 | // compute X values for the poles |
| 234 | TColStd_Array1OfReal XPoles(1,Poles.Upper()); |
| 235 | |
| 236 | // start with a line |
| 237 | TColStd_Array1OfReal TempPoles(1,2); |
| 238 | TColStd_Array1OfReal TempKnots(1,2); |
| 239 | TColStd_Array1OfInteger TempMults(1,2); |
| 240 | TempMults.Init(2); |
| 241 | TempPoles(1) = X0; |
| 242 | TempPoles(2) = X0 + length; |
| 243 | TempKnots(1) = 0.; |
| 244 | TempKnots(2) = 1.; |
| 245 | |
| 246 | // increase the Degree |
| 247 | TColStd_Array1OfReal NewTempPoles(1,Degree+1); |
| 248 | TColStd_Array1OfReal NewTempKnots(1,2); |
| 249 | TColStd_Array1OfInteger NewTempMults(1,2); |
| 250 | BSplCLib::IncreaseDegree(1,Degree,Standard_False,1, |
| 251 | TempPoles,TempKnots,TempMults, |
| 252 | NewTempPoles,NewTempKnots,NewTempMults); |
| 253 | |
| 254 | |
| 255 | // insert the Knots |
| 256 | BSplCLib::InsertKnots(Degree,Standard_False,1, |
| 257 | NewTempPoles,NewTempKnots,NewTempMults, |
| 258 | TheCurve.Knots(),TheCurve.Multiplicities(), |
| 259 | XPoles,Knots,Mults, |
| 260 | Epsilon(1)); |
| 261 | |
| 262 | // scale the knots |
| 263 | for (i = 1; i <= nk; i++) { |
| 264 | Knots(i) = X0 + length * Knots(i); |
| 265 | } |
| 266 | |
| 267 | // set the Poles |
| 268 | for (i = 1; i <= Poles.Upper(); i++) { |
| 269 | Poles(i).SetX(XPoles(i)); |
| 270 | } |
| 271 | |
| 272 | |
| 273 | |
| 274 | myCurve = new Geom2d_BSplineCurve(Poles, Knots, Mults, Degree); |
| 275 | myIsDone = Standard_True; |
| 276 | } |
| 277 | |
| 278 | //======================================================================= |
| 279 | //function : Init |
| 280 | //purpose : |
| 281 | //======================================================================= |
| 282 | |
| 283 | void Geom2dAPI_PointsToBSpline::Init |
| 284 | (const TColgp_Array1OfPnt2d& Points, |
| 285 | const Standard_Integer DegMin, |
| 286 | const Standard_Integer DegMax, |
| 287 | const GeomAbs_Shape Continuity, |
| 288 | const Standard_Real Tol2D) |
| 289 | { |
| 290 | myIsDone = Standard_False; |
| 291 | Init(Points,Approx_ChordLength,DegMin,DegMax,Continuity,Tol2D); |
| 292 | } |
| 293 | |
| 294 | |
| 295 | //======================================================================= |
| 296 | //function : Init |
| 297 | //purpose : |
| 298 | //======================================================================= |
| 299 | |
| 300 | void Geom2dAPI_PointsToBSpline::Init |
| 301 | (const TColgp_Array1OfPnt2d& Points, |
| 302 | const TColStd_Array1OfReal& Params, |
| 303 | const Standard_Integer DegMin, |
| 304 | const Standard_Integer DegMax, |
| 305 | const GeomAbs_Shape Continuity, |
| 306 | const Standard_Real Tol2D) |
| 307 | { |
| 308 | if (Params.Length() != Points.Length()) Standard_OutOfRange::Raise(""); |
| 309 | |
| 310 | Standard_Real Tol3D = 0.; // dummy argument for BSplineCompute. |
| 311 | Standard_Integer Nbp = Params.Length(); |
| 312 | math_Vector theParams(1,Nbp); |
| 313 | theParams(1) = 0.; |
| 314 | theParams(Nbp) = 1.; |
| 315 | |
| 316 | Standard_Real Uf = Params(Params.Lower()); |
| 317 | Standard_Real Ul = Params(Params.Upper()) - Uf; |
| 318 | for (Standard_Integer i=2; i<Nbp; i++) { |
| 319 | theParams(i) = (Params(i)-Uf)/Ul; |
| 320 | } |
| 321 | |
| 322 | AppDef_BSplineCompute TheComputer |
| 323 | (DegMin,DegMax,Tol3D,Tol2D,0, |
| 324 | Standard_True,Approx_IsoParametric,Standard_True); |
| 325 | |
| 326 | TheComputer.SetParameters(theParams); |
| 327 | |
| 328 | switch( Continuity) { |
| 329 | case GeomAbs_C0: |
| 330 | TheComputer.SetContinuity(0); break; |
| 331 | |
| 332 | case GeomAbs_G1: |
| 333 | case GeomAbs_C1: |
| 334 | TheComputer.SetContinuity(1); break; |
| 335 | |
| 336 | case GeomAbs_G2: |
| 337 | case GeomAbs_C2: |
| 338 | TheComputer.SetContinuity(2); break; |
| 339 | |
| 340 | default: |
| 341 | TheComputer.SetContinuity(3); |
| 342 | } |
| 343 | |
| 344 | TheComputer.Perform(Points); |
| 345 | |
| 346 | AppParCurves_MultiBSpCurve TheCurve = TheComputer.Value(); |
| 347 | |
| 348 | TColgp_Array1OfPnt2d Poles(1,TheCurve.NbPoles()); |
| 349 | |
| 350 | TheCurve.Curve(1, Poles); |
| 351 | |
| 352 | myCurve = new Geom2d_BSplineCurve(Poles, |
| 353 | TheCurve.Knots(), |
| 354 | TheCurve.Multiplicities(), |
| 355 | TheCurve.Degree()); |
| 356 | myIsDone = Standard_True; |
| 357 | |
| 358 | } |
| 359 | |
| 360 | |
| 361 | //======================================================================= |
| 362 | //function : Init |
| 363 | //purpose : |
| 364 | //======================================================================= |
| 365 | |
| 366 | void Geom2dAPI_PointsToBSpline::Init |
| 367 | (const TColgp_Array1OfPnt2d& Points, |
| 368 | const Standard_Real W1, |
| 369 | const Standard_Real W2, |
| 370 | const Standard_Real W3, |
| 371 | const Standard_Integer DegMax, |
| 372 | const GeomAbs_Shape Continuity, |
| 373 | const Standard_Real Tol2D) |
| 374 | { |
| 375 | Standard_Integer NbPoint = Points.Length(), i; |
| 376 | |
| 377 | |
| 378 | Standard_Integer nbit = 2; |
| 379 | if(Tol2D <= 1.e-3) nbit = 0; |
| 380 | |
| 381 | //Variational algo |
| 382 | |
| 383 | AppDef_MultiLine multL(NbPoint); |
| 384 | for(i = 1; i <= NbPoint; ++i) { |
| 385 | AppDef_MultiPointConstraint mpc(0, 1); |
| 386 | mpc.SetPoint2d(1, Points.Value(Points.Lower() + i - 1)); |
| 387 | multL.SetValue(i, mpc); |
| 388 | } |
| 389 | |
| 390 | Handle(AppParCurves_HArray1OfConstraintCouple) TABofCC = |
| 391 | new AppParCurves_HArray1OfConstraintCouple(1, NbPoint); |
| 392 | AppParCurves_Constraint Constraint=AppParCurves_NoConstraint; |
| 393 | |
| 394 | for(i = 1; i <= NbPoint; ++i) { |
| 395 | AppParCurves_ConstraintCouple ACC(i,Constraint); |
| 396 | TABofCC->SetValue(i,ACC); |
| 397 | } |
| 398 | |
| 399 | |
| 400 | AppDef_TheVariational Variation(multL, 1, NbPoint, TABofCC); |
| 401 | |
| 402 | //=================================== |
| 403 | Standard_Integer theMaxSegments = 1000; |
| 404 | Standard_Boolean theWithMinMax = Standard_False; |
| 405 | //=================================== |
| 406 | |
| 407 | Variation.SetMaxDegree(DegMax); |
| 408 | Variation.SetContinuity(Continuity); |
| 409 | Variation.SetMaxSegment(theMaxSegments); |
| 410 | |
| 411 | Variation.SetTolerance(Tol2D); |
| 412 | Variation.SetWithMinMax(theWithMinMax); |
| 413 | Variation.SetNbIterations(nbit); |
| 414 | |
| 415 | Variation.SetCriteriumWeight(W1, W2, W3); |
| 416 | |
| 417 | if(!Variation.IsCreated()) { |
| 418 | return; |
| 419 | } |
| 420 | |
| 421 | if(Variation.IsOverConstrained()) { |
| 422 | return; |
| 423 | } |
| 424 | |
| 425 | try { |
| 426 | Variation.Approximate(); |
| 427 | } |
| 428 | catch (Standard_Failure) { |
| 429 | return; |
| 430 | } |
| 431 | |
| 432 | if(!Variation.IsDone()) { |
| 433 | return; |
| 434 | } |
| 435 | |
| 436 | AppParCurves_MultiBSpCurve TheCurve = Variation.Value(); |
| 437 | |
| 438 | TColgp_Array1OfPnt2d Poles(1,TheCurve.NbPoles()); |
| 439 | |
| 440 | TheCurve.Curve(1, Poles); |
| 441 | |
| 442 | myCurve = new Geom2d_BSplineCurve(Poles, |
| 443 | TheCurve.Knots(), |
| 444 | TheCurve.Multiplicities(), |
| 445 | TheCurve.Degree()); |
| 446 | |
| 447 | myIsDone = Standard_True; |
| 448 | |
| 449 | } |
| 450 | |
| 451 | //======================================================================= |
| 452 | //function : Handle_Geom2d_BSplineCurve& |
| 453 | //purpose : |
| 454 | //======================================================================= |
| 455 | |
| 456 | const Handle(Geom2d_BSplineCurve)& Geom2dAPI_PointsToBSpline::Curve() const |
| 457 | { |
| 458 | if ( !myIsDone) |
| 459 | StdFail_NotDone::Raise(" "); |
| 460 | return myCurve; |
| 461 | } |
| 462 | |
| 463 | |
| 464 | |
| 465 | //======================================================================= |
| 466 | //function : Geom2d_BSplineCurve |
| 467 | //purpose : |
| 468 | //======================================================================= |
| 469 | |
| 470 | Geom2dAPI_PointsToBSpline::operator Handle(Geom2d_BSplineCurve)() const |
| 471 | { |
| 472 | return myCurve; |
| 473 | } |
| 474 | |
| 475 | //======================================================================= |
| 476 | //function : Geom2d_BSplineCurve |
| 477 | //purpose : |
| 478 | //======================================================================= |
| 479 | |
| 480 | Standard_Boolean Geom2dAPI_PointsToBSpline::IsDone() const |
| 481 | { |
| 482 | return myIsDone; |
| 483 | } |
| 484 | |
| 485 | |
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