src/GeomInt/GeomInt_IntSS_1.cxx

   1 // Created on: 1995-01-27
   2 // Created by: Jacques GOUSSARD
   3 // Copyright (c) 1995-1999 Matra Datavision
   4 // Copyright (c) 1999-2014 OPEN CASCADE SAS
   5 //
   6 // This file is part of Open CASCADE Technology software library.
   7 //
   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
  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.
  13 //
  14 // Alternatively, this file may be used under the terms of Open CASCADE
  15 // commercial license or contractual agreement.
  16
  17 #include <GeomInt_IntSS.ixx>
  18
  19 #include <Precision.hxx>
  20 #include <gp_Pnt.hxx>
  21 #include <gp_Pnt2d.hxx>
  22 #include <gp_Pln.hxx>
  23
  24 #include <TColStd_Array1OfReal.hxx>
  25 #include <TColStd_Array1OfInteger.hxx>
  26 #include <TColStd_Array1OfListOfInteger.hxx>
  27 #include <TColStd_SequenceOfReal.hxx>
  28 #include <TColStd_ListOfInteger.hxx>
  29 #include <TColStd_ListIteratorOfListOfInteger.hxx>
  30
  31 #include <TColgp_Array1OfPnt.hxx>
  32 #include <TColgp_Array1OfPnt2d.hxx>
  33
  34 #include <Adaptor3d_TopolTool.hxx>
  35 #include <IntPatch_Line.hxx>
  36 #include <IntPatch_WLine.hxx>
  37 #include <IntPatch_GLine.hxx>
  38 #include <IntPatch_RLine.hxx>
  39 #include <IntPatch_ALineToWLine.hxx>
  40 #include <IntPatch_IType.hxx>
  41 #include <NCollection_IncAllocator.hxx>
  42 #include <NCollection_List.hxx>
  43 #include <NCollection_LocalArray.hxx>
  44 #include <NCollection_StdAllocator.hxx>
  45 #include <vector>
  46
  47 #include <AppParCurves_MultiBSpCurve.hxx>
  48
  49 #include <GeomAbs_SurfaceType.hxx>
  50 #include <GeomAbs_CurveType.hxx>
  51
  52 #include <GeomAdaptor.hxx>
  53 #include <Geom_Curve.hxx>
  54 #include <Geom_Line.hxx>
  55 #include <Geom_Parabola.hxx>
  56 #include <Geom_Hyperbola.hxx>
  57 #include <Geom_TrimmedCurve.hxx>
  58 #include <Geom_Circle.hxx>
  59 #include <Geom_Ellipse.hxx>
  60 #include <Geom_BSplineCurve.hxx>
  61
  62 #include <Geom2dAdaptor.hxx>
  63 #include <Adaptor2d_HCurve2d.hxx>
  64 #include <Geom2d_Curve.hxx>
  65 #include <Geom2d_BSplineCurve.hxx>
  66 #include <Geom2d_TrimmedCurve.hxx>
  67
  68 #include <GeomLib_CheckBSplineCurve.hxx>
  69 #include <GeomLib_Check2dBSplineCurve.hxx>
  70 #include <GeomProjLib.hxx>
  71 #include <Approx_CurveOnSurface.hxx>
  72
  73 #include <ElSLib.hxx>
  74
  75 #include <GeomInt_WLApprox.hxx>
  76 #include <Extrema_ExtPS.hxx>
  77
  78 static
  79   void BuildPCurves (Standard_Real f,
  80                      Standard_Real l,
  81                      Standard_Real& Tol,
  82                      const Handle (Geom_Surface)& S,
  83                      const Handle (Geom_Curve)&   C,
  84                      Handle (Geom2d_Curve)& C2d);
  85
  86 static
  87   void Parameters(const Handle(GeomAdaptor_HSurface)& HS1,
  88                   const Handle(GeomAdaptor_HSurface)& HS2,
  89                   const gp_Pnt& Ptref,
  90                   Standard_Real& U1,
  91                   Standard_Real& V1,
  92                   Standard_Real& U2,
  93                   Standard_Real& V2);
  94
  95 static
  96   Handle(Geom_Curve) MakeBSpline  (const Handle(IntPatch_WLine)& WL,
  97                                    const Standard_Integer ideb,
  98                                    const Standard_Integer ifin);
  99
 100 static
 101   Handle(Geom2d_BSplineCurve) MakeBSpline2d(const Handle(IntPatch_WLine)& theWLine,
 102                                             const Standard_Integer                         ideb,
 103                                             const Standard_Integer                         ifin,
 104                                             const Standard_Boolean                         onFirst);
 105
 106 static
 107   Handle(IntPatch_WLine) ComputePurgedWLine(const Handle(IntPatch_WLine)& theWLine);
 108
 109
 110 static
 111   Standard_Boolean DecompositionOfWLine  (const Handle(IntPatch_WLine)& theWLine,
 112                                           const Handle(GeomAdaptor_HSurface)&            theSurface1,
 113                                           const Handle(GeomAdaptor_HSurface)&            theSurface2,
 114                                           const Standard_Real aTolSum,
 115                                           const GeomInt_LineConstructor&                 theLConstructor,
 116                                           IntPatch_SequenceOfLine&                       theNewLines);
 117
 118 static
 119   Standard_Real AdjustPeriodic(const Standard_Real theParameter,
 120                                const Standard_Real parmin,
 121                                const Standard_Real parmax,
 122                                const Standard_Real thePeriod,
 123                                Standard_Real&      theOffset) ;
 124 static
 125   Standard_Boolean IsPointOnBoundary(const Standard_Real theParameter,
 126                                      const Standard_Real theFirstBoundary,
 127                                      const Standard_Real theSecondBoundary,
 128                                      const Standard_Real theResolution,
 129                                      Standard_Boolean&   IsOnFirstBoundary);
 130
 131 static
 132   Standard_Boolean FindPoint(const gp_Pnt2d&     theFirstPoint,
 133                              const gp_Pnt2d&     theLastPoint,
 134                              const Standard_Real theUmin,
 135                              const Standard_Real theUmax,
 136                              const Standard_Real theVmin,
 137                              const Standard_Real theVmax,
 138                              gp_Pnt2d&           theNewPoint);
 139
 140
 141 static
 142   void AdjustUPeriodic (const Handle(Geom_Surface)& aS,
 143                         Handle(Geom2d_Curve)& aC2D);
 144 static
 145   void GetQuadric(const Handle(GeomAdaptor_HSurface)& HS1,
 146                   IntSurf_Quadric& quad1);
 147
 148 static
 149     void TreatRLine(const Handle(IntPatch_RLine)& theRL,
 150                     const Handle(GeomAdaptor_HSurface)& theHS1,
 151                     const Handle(GeomAdaptor_HSurface)& theHS2,
 152                     const Standard_Boolean theApprox1,
 153                     const Standard_Boolean theApprox2,
 154                     Handle(Geom_Curve)& theC3d,
 155                     Handle(Geom2d_Curve)& theC2d1,
 156                     Handle(Geom2d_Curve)& theC2d2,
 157                     Standard_Real& theTolReached);
 158
 159 //
 160
 161
 162 class ProjectPointOnSurf
 163 {
 164  public:
 165   ProjectPointOnSurf() : myIsDone (Standard_False),myIndex(0) {}
 166   void Init(const Handle(Geom_Surface)& Surface,
 167             const Standard_Real Umin,
 168             const Standard_Real Usup,
 169             const Standard_Real Vmin,
 170             const Standard_Real Vsup);
 171   void Init ();
 172   void Perform(const gp_Pnt& P);
 173   Standard_Boolean IsDone () const { return myIsDone; }
 174   void LowerDistanceParameters(Standard_Real& U, Standard_Real& V ) const;
 175   Standard_Real LowerDistance() const;
 176  protected:
 177   Standard_Boolean myIsDone;
 178   Standard_Integer myIndex;
 179   Extrema_ExtPS myExtPS;
 180   GeomAdaptor_Surface myGeomAdaptor;
 181 };
 182
 183 //=======================================================================
 184 //function : Init
 185 //purpose  :
 186 //=======================================================================
 187   void ProjectPointOnSurf::Init (const Handle(Geom_Surface)& Surface,
 188                                  const Standard_Real       Umin,
 189                                  const Standard_Real       Usup,
 190                                  const Standard_Real       Vmin,
 191                                  const Standard_Real       Vsup )
 192 {
 193   const Standard_Real Tolerance = Precision::PConfusion();
 194   //
 195   myGeomAdaptor.Load(Surface, Umin,Usup,Vmin,Vsup);
 196   myExtPS.Initialize(myGeomAdaptor, Umin, Usup, Vmin, Vsup, Tolerance, Tolerance);
 197   myIsDone = Standard_False;
 198 }
 199 //=======================================================================
 200 //function : Init
 201 //purpose  :
 202 //=======================================================================
 203   void ProjectPointOnSurf::Init ()
 204 {
 205   myIsDone = myExtPS.IsDone() && (myExtPS.NbExt() > 0);
 206   if (myIsDone) {
 207     // evaluate the lower distance and its index;
 208     Standard_Real Dist2Min = myExtPS.SquareDistance(1);
 209     myIndex = 1;
 210     for (Standard_Integer i = 2; i <= myExtPS.NbExt(); i++)
 211     {
 212       const Standard_Real Dist2 = myExtPS.SquareDistance(i);
 213       if (Dist2 < Dist2Min) {
 214         Dist2Min = Dist2;
 215         myIndex = i;
 216       }
 217     }
 218   }
 219 }
 220 //=======================================================================
 221 //function : Perform
 222 //purpose  :
 223 //=======================================================================
 224 void ProjectPointOnSurf::Perform(const gp_Pnt& P)
 225 {
 226   myExtPS.Perform(P);
 227   Init ();
 228 }
 229 //=======================================================================
 230 //function : LowerDistanceParameters
 231 //purpose  :
 232 //=======================================================================
 233 void ProjectPointOnSurf::LowerDistanceParameters (Standard_Real& U,
 234                                                   Standard_Real& V ) const
 235 {
 236   StdFail_NotDone_Raise_if(!myIsDone, "GeomInt_IntSS::ProjectPointOnSurf::LowerDistanceParameters");
 237   (myExtPS.Point(myIndex)).Parameter(U,V);
 238 }
 239 //=======================================================================
 240 //function : LowerDistance
 241 //purpose  :
 242 //=======================================================================
 243 Standard_Real ProjectPointOnSurf::LowerDistance() const
 244 {
 245   StdFail_NotDone_Raise_if(!myIsDone, "GeomInt_IntSS::ProjectPointOnSurf::LowerDistance");
 246   return sqrt(myExtPS.SquareDistance(myIndex));
 247 }
 248 //
 249
 250 //=======================================================================
 251 //function : MakeCurve
 252 //purpose  :
 253 //=======================================================================
 254   void GeomInt_IntSS::MakeCurve(const Standard_Integer Index,
 255                                 const Handle(Adaptor3d_TopolTool) & dom1,
 256                                 const Handle(Adaptor3d_TopolTool) & dom2,
 257                                 const Standard_Real Tol,
 258                                 const Standard_Boolean Approx,
 259                                 const Standard_Boolean ApproxS1,
 260                                 const Standard_Boolean ApproxS2)
 261
 262 {
 263   Standard_Boolean myApprox1, myApprox2, myApprox;
 264   Standard_Real Tolpc, myTolApprox;
 265   IntPatch_IType typl;
 266   Handle(Geom2d_BSplineCurve) H1;
 267   Handle(Geom_Surface) aS1, aS2;
 268   //
 269   Tolpc = Tol;
 270   myApprox=Approx;
 271   myApprox1=ApproxS1;
 272   myApprox2=ApproxS2;
 273   myTolApprox=0.0000001;
 274   //
 275   aS1=myHS1->ChangeSurface().Surface();
 276   aS2=myHS2->ChangeSurface().Surface();
 277   //
 278   Handle(IntPatch_Line) L = myIntersector.Line(Index);
 279   typl = L->ArcType();
 280   //
 281   if(typl==IntPatch_Walking) {
 282     Handle(IntPatch_Line) anewL =
 283       ComputePurgedWLine(Handle(IntPatch_WLine)::DownCast(L));
 284     //
 285     if(anewL.IsNull()) {
 286       return;
 287     }
 288     L = anewL;
 289   }
 290   //
 291   // Line Constructor
 292   myLConstruct.Perform(L);
 293   if (!myLConstruct.IsDone() || myLConstruct.NbParts() <= 0) {
 294     return;
 295   }
 296   // Do the Curve
 297   Standard_Boolean ok;
 298   Standard_Integer i, j,  aNbParts;
 299   Standard_Real fprm, lprm;
 300   Handle(Geom_Curve) newc;
 301
 302   switch (typl) {
 303     //########################################
 304     // Line, Parabola, Hyperbola
 305     //########################################
 306   case IntPatch_Lin:
 307   case IntPatch_Parabola:
 308   case IntPatch_Hyperbola: {
 309     if (typl == IntPatch_Lin) {
 310       newc=new Geom_Line (Handle(IntPatch_GLine)::DownCast(L)->Line());
 311     }
 312     else if (typl == IntPatch_Parabola) {
 313       newc=new Geom_Parabola(Handle(IntPatch_GLine)::DownCast(L)->Parabola());
 314     }
 315     else if (typl == IntPatch_Hyperbola) {
 316       newc=new Geom_Hyperbola (Handle(IntPatch_GLine)::DownCast(L)->Hyperbola());
 317     }
 318     //
 319     aNbParts=myLConstruct.NbParts();
 320     for (i=1; i<=aNbParts; i++) {
 321       myLConstruct.Part(i, fprm, lprm);
 322
 323       if (!Precision::IsNegativeInfinite(fprm) &&
 324         !Precision::IsPositiveInfinite(lprm)) {
 325           Handle(Geom_TrimmedCurve) aCT3D=new Geom_TrimmedCurve(newc, fprm, lprm);
 326           sline.Append(aCT3D);
 327           //
 328           if(myApprox1) {
 329             Handle (Geom2d_Curve) C2d;
 330             BuildPCurves(fprm, lprm, Tolpc, myHS1->ChangeSurface().Surface(), newc, C2d);
 331             if(Tolpc>myTolReached2d || myTolReached2d==0.) {
 332               myTolReached2d=Tolpc;
 333             }
 334             slineS1.Append(new Geom2d_TrimmedCurve(C2d,fprm,lprm));
 335           }
 336           else {
 337             slineS1.Append(H1);
 338           }
 339           //
 340           if(myApprox2) {
 341             Handle (Geom2d_Curve) C2d;
 342             BuildPCurves(fprm,lprm,Tolpc,myHS2->ChangeSurface().Surface(),newc,C2d);
 343             if(Tolpc>myTolReached2d || myTolReached2d==0.) {
 344               myTolReached2d=Tolpc;
 345             }
 346             //
 347             slineS2.Append(new Geom2d_TrimmedCurve(C2d,fprm,lprm));
 348           }
 349           else {
 350             slineS2.Append(H1);
 351           }
 352       } // if (!Precision::IsNegativeInfinite(fprm) &&  !Precision::IsPositiveInfinite(lprm))
 353
 354       else {
 355         GeomAbs_SurfaceType typS1 = myHS1->Surface().GetType();
 356         GeomAbs_SurfaceType typS2 = myHS2->Surface().GetType();
 357         if( typS1 == GeomAbs_SurfaceOfExtrusion ||
 358           typS1 == GeomAbs_OffsetSurface ||
 359           typS1 == GeomAbs_SurfaceOfRevolution ||
 360           typS2 == GeomAbs_SurfaceOfExtrusion ||
 361           typS2 == GeomAbs_OffsetSurface ||
 362           typS2 == GeomAbs_SurfaceOfRevolution) {
 363             sline.Append(newc);
 364             slineS1.Append(H1);
 365             slineS2.Append(H1);
 366             continue;
 367         }
 368         Standard_Boolean bFNIt, bLPIt;
 369         Standard_Real aTestPrm, dT=100.;
 370         Standard_Real u1, v1, u2, v2, TolX;
 371         //
 372         bFNIt=Precision::IsNegativeInfinite(fprm);
 373         bLPIt=Precision::IsPositiveInfinite(lprm);
 374
 375         aTestPrm=0.;
 376
 377         if (bFNIt && !bLPIt) {
 378           aTestPrm=lprm-dT;
 379         }
 380         else if (!bFNIt && bLPIt) {
 381           aTestPrm=fprm+dT;
 382         }
 383         //
 384         gp_Pnt ptref(newc->Value(aTestPrm));
 385         //
 386         TolX = Precision::Confusion();
 387         Parameters(myHS1, myHS2, ptref,  u1, v1, u2, v2);
 388         ok = (dom1->Classify(gp_Pnt2d(u1, v1), TolX) != TopAbs_OUT);
 389         if(ok) {
 390           ok = (dom2->Classify(gp_Pnt2d(u2,v2),TolX) != TopAbs_OUT);
 391         }
 392         if (ok) {
 393           sline.Append(newc);
 394           slineS1.Append(H1);
 395           slineS2.Append(H1);
 396         }
 397       }
 398     }// end of for (i=1; i<=myLConstruct.NbParts(); i++)
 399   }// case IntPatch_Lin:  case IntPatch_Parabola:  case IntPatch_Hyperbola:
 400   break;
 401
 402                            //########################################
 403                            // Circle and Ellipse
 404                            //########################################
 405   case IntPatch_Circle:
 406   case IntPatch_Ellipse: {
 407
 408     if (typl == IntPatch_Circle) {
 409       newc = new Geom_Circle
 410         (Handle(IntPatch_GLine)::DownCast(L)->Circle());
 411     }
 412     else {
 413       newc = new Geom_Ellipse
 414         (Handle(IntPatch_GLine)::DownCast(L)->Ellipse());
 415     }
 416     //
 417     Standard_Real aPeriod, aRealEpsilon;
 418     //
 419     aRealEpsilon=RealEpsilon();
 420     aPeriod=M_PI+M_PI;
 421     //
 422     aNbParts=myLConstruct.NbParts();
 423     //
 424     for (i=1; i<=aNbParts; i++) {
 425       myLConstruct.Part(i, fprm, lprm);
 426       //
 427       if (Abs(fprm) > aRealEpsilon || Abs(lprm-aPeriod) > aRealEpsilon) {
 428         //==============================================
 429         Handle(Geom_TrimmedCurve) aTC3D=new Geom_TrimmedCurve(newc,fprm,lprm);
 430         //
 431         sline.Append(aTC3D);
 432         //
 433         fprm=aTC3D->FirstParameter();
 434         lprm=aTC3D->LastParameter ();
 435         ////
 436         if(myApprox1) {
 437           Handle (Geom2d_Curve) C2d;
 438           BuildPCurves(fprm,lprm,Tolpc,myHS1->ChangeSurface().Surface(),newc,C2d);
 439           if(Tolpc>myTolReached2d || myTolReached2d==0.) {
 440             myTolReached2d=Tolpc;
 441           }
 442           slineS1.Append(C2d);
 443         }
 444         else { ////
 445           slineS1.Append(H1);
 446         }
 447         //
 448         if(myApprox2) {
 449           Handle (Geom2d_Curve) C2d;
 450           BuildPCurves(fprm,lprm,Tolpc,myHS2->ChangeSurface().Surface(),newc,C2d);
 451           if(Tolpc>myTolReached2d || myTolReached2d==0) {
 452             myTolReached2d=Tolpc;
 453           }
 454           slineS2.Append(C2d);
 455         }
 456         else {
 457           slineS2.Append(H1);
 458         }
 459         //==============================================
 460       } //if (Abs(fprm) > RealEpsilon() || Abs(lprm-2.*M_PI) > RealEpsilon())
 461       //
 462       else {//  on regarde si on garde
 463         //
 464         if (aNbParts==1) {
 465           if (Abs(fprm) < RealEpsilon() &&  Abs(lprm-2.*M_PI) < RealEpsilon()) {
 466             Handle(Geom_TrimmedCurve) aTC3D=new Geom_TrimmedCurve(newc,fprm,lprm);
 467             //
 468             sline.Append(aTC3D);
 469             fprm=aTC3D->FirstParameter();
 470             lprm=aTC3D->LastParameter ();
 471
 472             if(myApprox1) {
 473               Handle (Geom2d_Curve) C2d;
 474               BuildPCurves(fprm,lprm,Tolpc,myHS1->ChangeSurface().Surface(),newc,C2d);
 475               if(Tolpc>myTolReached2d || myTolReached2d==0) {
 476                 myTolReached2d=Tolpc;
 477               }
 478               slineS1.Append(C2d);
 479             }
 480             else { ////
 481               slineS1.Append(H1);
 482             }
 483
 484             if(myApprox2) {
 485               Handle (Geom2d_Curve) C2d;
 486               BuildPCurves(fprm,lprm,Tolpc,myHS2->ChangeSurface().Surface(),newc,C2d);
 487               if(Tolpc>myTolReached2d || myTolReached2d==0) {
 488                 myTolReached2d=Tolpc;
 489               }
 490               slineS2.Append(C2d);
 491             }
 492             else {
 493               slineS2.Append(H1);
 494             }
 495             break;
 496           }
 497         }
 498         //
 499         Standard_Real aTwoPIdiv17, u1, v1, u2, v2, TolX;
 500         //
 501         aTwoPIdiv17=2.*M_PI/17.;
 502         //
 503         for (j=0; j<=17; j++) {
 504           gp_Pnt ptref (newc->Value (j*aTwoPIdiv17));
 505           TolX = Precision::Confusion();
 506
 507           Parameters(myHS1, myHS2, ptref, u1, v1, u2, v2);
 508           ok = (dom1->Classify(gp_Pnt2d(u1,v1),TolX) != TopAbs_OUT);
 509           if(ok) {
 510             ok = (dom2->Classify(gp_Pnt2d(u2,v2),TolX) != TopAbs_OUT);
 511           }
 512           if (ok) {
 513             sline.Append(newc);
 514             //==============================================
 515             if(myApprox1) {
 516               Handle (Geom2d_Curve) C2d;
 517               BuildPCurves(fprm, lprm, Tolpc, myHS1->ChangeSurface().Surface(), newc, C2d);
 518               if(Tolpc>myTolReached2d || myTolReached2d==0) {
 519                 myTolReached2d=Tolpc;
 520               }
 521               slineS1.Append(C2d);
 522             }
 523             else {
 524               slineS1.Append(H1);
 525             }
 526
 527             if(myApprox2) {
 528               Handle (Geom2d_Curve) C2d;
 529               BuildPCurves(fprm, lprm, Tolpc,myHS2->ChangeSurface().Surface(), newc, C2d);
 530               if(Tolpc>myTolReached2d || myTolReached2d==0) {
 531                 myTolReached2d=Tolpc;
 532               }
 533               slineS2.Append(C2d);
 534             }
 535             else {
 536               slineS2.Append(H1);
 537             }
 538             break;
 539           }//  end of if (ok) {
 540         }//  end of for (Standard_Integer j=0; j<=17; j++)
 541       }//  end of else { on regarde si on garde
 542     }// for (i=1; i<=myLConstruct.NbParts(); i++)
 543   }// IntPatch_Circle: IntPatch_Ellipse
 544   break;
 545
 546                          //########################################
 547                          // Analytic
 548                          //########################################
 549   case IntPatch_Analytic: {
 550     IntSurf_Quadric quad1,quad2;
 551     //
 552     GetQuadric(myHS1, quad1);
 553     GetQuadric(myHS2, quad2);
 554     //=========
 555     IntPatch_ALineToWLine convert (quad1, quad2);
 556
 557     if (!myApprox) {
 558       Handle(Geom2d_BSplineCurve) aH1, aH2;
 559       //
 560       aNbParts=myLConstruct.NbParts();
 561       for (i=1; i<=aNbParts; i++) {
 562         myLConstruct.Part(i, fprm, lprm);
 563         Handle(IntPatch_WLine) WL =
 564           convert.MakeWLine(Handle(IntPatch_ALine)::DownCast(L), fprm, lprm);
 565         //
 566         if(myApprox1) {
 567           aH1 = MakeBSpline2d(WL, 1, WL->NbPnts(), Standard_True);
 568         }
 569
 570         if(myApprox2) {
 571           aH2 = MakeBSpline2d(WL, 1, WL->NbPnts(), Standard_False);
 572         }
 573         sline.Append(MakeBSpline(WL,1,WL->NbPnts()));
 574         slineS1.Append(aH1);
 575         slineS2.Append(aH2);
 576       }
 577     } // if (!myApprox)
 578
 579     else { // myApprox=TRUE
 580       GeomInt_WLApprox theapp3d;
 581       Standard_Real tol2d = myTolApprox;
 582       //
 583       theapp3d.SetParameters(myTolApprox, tol2d, 4, 8, 0, Standard_True);
 584
 585       aNbParts=myLConstruct.NbParts();
 586       for (i=1; i<=aNbParts; i++) {
 587         myLConstruct.Part(i, fprm, lprm);
 588         Handle(IntPatch_WLine) WL =
 589           convert.MakeWLine(Handle(IntPatch_ALine):: DownCast(L),fprm,lprm);
 590
 591         theapp3d.Perform(myHS1,myHS2,WL,Standard_True,myApprox1,myApprox2, 1, WL->NbPnts());
 592         if (!theapp3d.IsDone()) {
 593           //
 594           Handle(Geom2d_BSplineCurve) aH1, aH2;
 595
 596           if(myApprox1) {
 597             aH1 = MakeBSpline2d(WL, 1, WL->NbPnts(), Standard_True);
 598           }
 599
 600           if(myApprox2) {
 601             aH2 = MakeBSpline2d(WL, 1, WL->NbPnts(), Standard_False);
 602           }
 603           sline.Append(MakeBSpline(WL,1,WL->NbPnts()));
 604           slineS1.Append(aH1);
 605           slineS2.Append(aH1);
 606         }
 607         //
 608         else {
 609           if(myApprox1 || myApprox2) {
 610             if( theapp3d.TolReached2d()>myTolReached2d || myTolReached2d==0) {
 611               myTolReached2d = theapp3d.TolReached2d();
 612             }
 613           }
 614
 615           if( theapp3d.TolReached3d()>myTolReached3d || myTolReached3d==0) {
 616             myTolReached3d = theapp3d.TolReached3d();
 617           }
 618
 619           Standard_Integer aNbMultiCurves, nbpoles;
 620           aNbMultiCurves=theapp3d.NbMultiCurves();
 621           for (j=1; j<=aNbMultiCurves; j++) {
 622             const AppParCurves_MultiBSpCurve& mbspc = theapp3d.Value(j);
 623
 624             nbpoles = mbspc.NbPoles();
 625             TColgp_Array1OfPnt tpoles(1, nbpoles);
 626             mbspc.Curve(1, tpoles);
 627             Handle(Geom_BSplineCurve) BS=new Geom_BSplineCurve(tpoles,
 628               mbspc.Knots(),
 629               mbspc.Multiplicities(),
 630               mbspc.Degree());
 631
 632             GeomLib_CheckBSplineCurve Check(BS, myTolCheck, myTolAngCheck);
 633             Check.FixTangent(Standard_True,Standard_True);
 634             //
 635             sline.Append(BS);
 636             //
 637             if(myApprox1) {
 638               TColgp_Array1OfPnt2d tpoles2d(1,nbpoles);
 639               mbspc.Curve(2,tpoles2d);
 640               Handle(Geom2d_BSplineCurve) BS2=new Geom2d_BSplineCurve(tpoles2d,
 641                 mbspc.Knots(),
 642                 mbspc.Multiplicities(),
 643                 mbspc.Degree());
 644
 645               GeomLib_Check2dBSplineCurve newCheck(BS2,myTolCheck,myTolAngCheck);
 646               newCheck.FixTangent(Standard_True,Standard_True);
 647               slineS1.Append(BS2);
 648             }
 649             else {
 650               slineS1.Append(H1);
 651             }
 652
 653             if(myApprox2) {
 654               TColgp_Array1OfPnt2d tpoles2d(1, nbpoles);
 655               Standard_Integer TwoOrThree;
 656               TwoOrThree=myApprox1 ? 3 : 2;
 657               mbspc.Curve(TwoOrThree, tpoles2d);
 658               Handle(Geom2d_BSplineCurve) BS2 =new Geom2d_BSplineCurve(tpoles2d,
 659                 mbspc.Knots(),
 660                 mbspc.Multiplicities(),
 661                 mbspc.Degree());
 662
 663               GeomLib_Check2dBSplineCurve newCheck(BS2,myTolCheck,myTolAngCheck);
 664               newCheck.FixTangent(Standard_True,Standard_True);
 665               //
 666               slineS2.Append(BS2);
 667             }
 668             else {
 669               slineS2.Append(H1);
 670             }
 671             //
 672           }// for (j=1; j<=aNbMultiCurves; j++) {
 673         }// else from if (!theapp3d.IsDone())
 674       }// for (i=1; i<=aNbParts; i++) {
 675     }// else { // myApprox=TRUE
 676   }// case IntPatch_Analytic:
 677   break;
 678
 679                           //########################################
 680                           // Walking
 681                           //########################################
 682   case IntPatch_Walking:{
 683     Handle(IntPatch_WLine) WL =
 684       Handle(IntPatch_WLine)::DownCast(L);
 685     //
 686     Standard_Integer ifprm, ilprm;
 687     //
 688     if (!myApprox) {
 689       aNbParts=myLConstruct.NbParts();
 690       for (i=1; i<=aNbParts; i++) {
 691         myLConstruct.Part(i, fprm, lprm);
 692         ifprm=(Standard_Integer)fprm;
 693         ilprm=(Standard_Integer)lprm;
 694         //
 695         Handle(Geom2d_BSplineCurve) aH1, aH2;
 696
 697         if(myApprox1) {
 698           aH1 = MakeBSpline2d(WL, ifprm, ilprm, Standard_True);
 699         }
 700         if(myApprox2) {
 701           aH2 = MakeBSpline2d(WL, ifprm, ilprm, Standard_False);
 702         }
 703         //
 704         Handle(Geom_Curve) aBSp=MakeBSpline(WL, ifprm, ilprm);
 705         //
 706         sline.Append(aBSp);
 707         slineS1.Append(aH1);
 708         slineS2.Append(aH2);
 709       }
 710     }
 711     //
 712     else {
 713       Standard_Boolean bIsDecomposited;
 714       Standard_Integer nbiter, aNbSeqOfL;
 715       GeomInt_WLApprox theapp3d;
 716       IntPatch_SequenceOfLine aSeqOfL;
 717       Standard_Real tol2d, aTolSS;
 718       //
 719       tol2d = myTolApprox;
 720       aTolSS=2.e-7;
 721       if(myHS1 == myHS2) {
 722         theapp3d.SetParameters(myTolApprox, tol2d, 4, 8, 0, Standard_False);
 723       }
 724       else {
 725         theapp3d.SetParameters(myTolApprox, tol2d, 4, 8, 0, Standard_True);
 726       }
 727       //
 728       bIsDecomposited =
 729         DecompositionOfWLine(WL, myHS1, myHS2, aTolSS, myLConstruct, aSeqOfL);
 730       //
 731       aNbParts=myLConstruct.NbParts();
 732       aNbSeqOfL=aSeqOfL.Length();
 733       //
 734       nbiter = (bIsDecomposited) ? aNbSeqOfL : aNbParts;
 735       //
 736       for(i = 1; i <= nbiter; i++) {
 737         if(bIsDecomposited) {
 738           WL = Handle(IntPatch_WLine)::DownCast(aSeqOfL.Value(i));
 739           ifprm = 1;
 740           ilprm = WL->NbPnts();
 741         }
 742         else {
 743           myLConstruct.Part(i, fprm, lprm);
 744           ifprm = (Standard_Integer)fprm;
 745           ilprm = (Standard_Integer)lprm;
 746         }
 747         //-- lbr :
 748         //-- Si une des surfaces est un plan , on approxime en 2d
 749         //-- sur cette surface et on remonte les points 2d en 3d.
 750         GeomAbs_SurfaceType typs1, typs2;
 751         typs1 = myHS1->Surface().GetType();
 752         typs2 = myHS2->Surface().GetType();
 753         //
 754         if(typs1 == GeomAbs_Plane) {
 755           theapp3d.Perform(myHS1, myHS2, WL, Standard_False,
 756             Standard_True, myApprox2,
 757             ifprm,  ilprm);
 758         }
 759         else if(typs2 == GeomAbs_Plane) {
 760           theapp3d.Perform(myHS1,myHS2,WL,Standard_False,
 761             myApprox1,Standard_True,
 762             ifprm,  ilprm);
 763         }
 764         else {
 765           //
 766           if (myHS1 != myHS2){
 767             if ((typs1==GeomAbs_BezierSurface || typs1==GeomAbs_BSplineSurface) &&
 768               (typs2==GeomAbs_BezierSurface || typs2==GeomAbs_BSplineSurface)) {
 769
 770                 theapp3d.SetParameters(myTolApprox, tol2d, 4, 8, 0, Standard_True);
 771                 //Standard_Boolean bUseSurfaces;
 772                 //bUseSurfaces=NotUseSurfacesForApprox(myFace1, myFace2, WL, ifprm,  ilprm);
 773                 //if (bUseSurfaces) {
 774                 //theapp3d.SetParameters(myTolApprox, tol2d, 4, 8, 0, Standard_False);
 775                 //}
 776             }
 777           }
 778           //
 779           theapp3d.Perform(myHS1,myHS2,WL,Standard_True,
 780             myApprox1,myApprox2,
 781             ifprm,  ilprm);
 782         }
 783
 784         if (!theapp3d.IsDone()) {
 785           //
 786           Handle(Geom2d_BSplineCurve) aH1, aH2;
 787           //
 788           Handle(Geom_Curve) aBSp=MakeBSpline(WL, ifprm, ilprm);
 789           if(myApprox1) {
 790             aH1 = MakeBSpline2d(WL, ifprm, ilprm, Standard_True);
 791           }
 792           if(myApprox2) {
 793             aH2 = MakeBSpline2d(WL, ifprm, ilprm, Standard_False);
 794           }
 795           //
 796           sline.Append(aBSp);
 797           slineS1.Append(aH1);
 798           slineS2.Append(aH2);
 799         }//if (!theapp3d.IsDone())
 800
 801         else {
 802           if(myApprox1 || myApprox2 || (typs1==GeomAbs_Plane || typs2==GeomAbs_Plane)) {
 803             if( theapp3d.TolReached2d()>myTolReached2d || myTolReached2d==0.) {
 804               myTolReached2d = theapp3d.TolReached2d();
 805             }
 806           }
 807           if(typs1==GeomAbs_Plane || typs2==GeomAbs_Plane) {
 808             myTolReached3d = myTolReached2d;
 809           }
 810           else  if( theapp3d.TolReached3d()>myTolReached3d || myTolReached3d==0.) {
 811             myTolReached3d = theapp3d.TolReached3d();
 812           }
 813
 814           Standard_Integer aNbMultiCurves, nbpoles;
 815           //
 816           aNbMultiCurves=theapp3d.NbMultiCurves();
 817           for (j=1; j<=aNbMultiCurves; j++) {
 818             if(typs1 == GeomAbs_Plane) {
 819               const AppParCurves_MultiBSpCurve& mbspc = theapp3d.Value(j);
 820               nbpoles = mbspc.NbPoles();
 821
 822               TColgp_Array1OfPnt2d tpoles2d(1,nbpoles);
 823               TColgp_Array1OfPnt   tpoles(1,nbpoles);
 824
 825               mbspc.Curve(1,tpoles2d);
 826               const gp_Pln&  Pln = myHS1->Surface().Plane();
 827               //
 828               Standard_Integer ik;
 829               for(ik = 1; ik<= nbpoles; ik++) {
 830                 tpoles.SetValue(ik,
 831                   ElSLib::Value(tpoles2d.Value(ik).X(),
 832                   tpoles2d.Value(ik).Y(),
 833                   Pln));
 834               }
 835               //
 836               Handle(Geom_BSplineCurve) BS =
 837                 new Geom_BSplineCurve(tpoles,
 838                 mbspc.Knots(),
 839                 mbspc.Multiplicities(),
 840                 mbspc.Degree());
 841               GeomLib_CheckBSplineCurve Check(BS,myTolCheck,myTolAngCheck);
 842               Check.FixTangent(Standard_True, Standard_True);
 843               //
 844               sline.Append(BS);
 845               //
 846               if(myApprox1) {
 847                 Handle(Geom2d_BSplineCurve) BS1 =
 848                   new Geom2d_BSplineCurve(tpoles2d,
 849                   mbspc.Knots(),
 850                   mbspc.Multiplicities(),
 851                   mbspc.Degree());
 852                 GeomLib_Check2dBSplineCurve Check1(BS1,myTolCheck,myTolAngCheck);
 853                 Check1.FixTangent(Standard_True,Standard_True);
 854                 //
 855                 AdjustUPeriodic (aS1, BS1);
 856                 //
 857                 slineS1.Append(BS1);
 858               }
 859               else {
 860                 slineS1.Append(H1);
 861               }
 862
 863               if(myApprox2) {
 864                 mbspc.Curve(2, tpoles2d);
 865
 866                 Handle(Geom2d_BSplineCurve) BS2 = new Geom2d_BSplineCurve(tpoles2d,
 867                   mbspc.Knots(),
 868                   mbspc.Multiplicities(),
 869                   mbspc.Degree());
 870                 GeomLib_Check2dBSplineCurve newCheck(BS2,myTolCheck,myTolAngCheck);
 871                 newCheck.FixTangent(Standard_True,Standard_True);
 872                 //
 873                 AdjustUPeriodic (aS2, BS2);
 874                 //
 875                 slineS2.Append(BS2);
 876               }
 877               else {
 878                 slineS2.Append(H1);
 879               }
 880             }//if(typs1 == GeomAbs_Plane)
 881             //
 882             else if(typs2 == GeomAbs_Plane) {
 883               const AppParCurves_MultiBSpCurve& mbspc = theapp3d.Value(j);
 884               nbpoles = mbspc.NbPoles();
 885
 886               TColgp_Array1OfPnt2d tpoles2d(1,nbpoles);
 887               TColgp_Array1OfPnt   tpoles(1,nbpoles);
 888               mbspc.Curve((myApprox1==Standard_True)? 2 : 1,tpoles2d);
 889               const gp_Pln&  Pln = myHS2->Surface().Plane();
 890               //
 891               Standard_Integer ik;
 892               for(ik = 1; ik<= nbpoles; ik++) {
 893                 tpoles.SetValue(ik,
 894                   ElSLib::Value(tpoles2d.Value(ik).X(),
 895                   tpoles2d.Value(ik).Y(),
 896                   Pln));
 897
 898               }
 899               //
 900               Handle(Geom_BSplineCurve) BS=new Geom_BSplineCurve(tpoles,
 901                 mbspc.Knots(),
 902                 mbspc.Multiplicities(),
 903                 mbspc.Degree());
 904               GeomLib_CheckBSplineCurve Check(BS,myTolCheck,myTolAngCheck);
 905               Check.FixTangent(Standard_True,Standard_True);
 906               //
 907               sline.Append(BS);
 908               //
 909               if(myApprox2) {
 910                 Handle(Geom2d_BSplineCurve) BS1=new Geom2d_BSplineCurve(tpoles2d,
 911                   mbspc.Knots(),
 912                   mbspc.Multiplicities(),
 913                   mbspc.Degree());
 914                 GeomLib_Check2dBSplineCurve Check1(BS1,myTolCheck,myTolAngCheck);
 915                 Check1.FixTangent(Standard_True,Standard_True);
 916                 //
 917                 //
 918                 AdjustUPeriodic (aS2, BS1);
 919                 //
 920                 slineS2.Append(BS1);
 921               }
 922               else {
 923                 slineS2.Append(H1);
 924               }
 925
 926               if(myApprox1) {
 927                 mbspc.Curve(1,tpoles2d);
 928                 Handle(Geom2d_BSplineCurve) BS2=new Geom2d_BSplineCurve(tpoles2d,
 929                   mbspc.Knots(),
 930                   mbspc.Multiplicities(),
 931                   mbspc.Degree());
 932                 GeomLib_Check2dBSplineCurve Check2(BS2,myTolCheck,myTolAngCheck);
 933                 Check2.FixTangent(Standard_True,Standard_True);
 934                 //
 935                 //
 936                 AdjustUPeriodic (aS1, BS2);
 937                 //
 938                 slineS1.Append(BS2);
 939               }
 940               else {
 941                 slineS1.Append(H1);
 942               }
 943             } // else if(typs2 == GeomAbs_Plane)
 944             //
 945             else { // typs1!=GeomAbs_Plane && typs2!=GeomAbs_Plane
 946               const AppParCurves_MultiBSpCurve& mbspc = theapp3d.Value(j);
 947               nbpoles = mbspc.NbPoles();
 948               TColgp_Array1OfPnt tpoles(1,nbpoles);
 949               mbspc.Curve(1,tpoles);
 950               Handle(Geom_BSplineCurve) BS=new Geom_BSplineCurve(tpoles,
 951                 mbspc.Knots(),
 952                 mbspc.Multiplicities(),
 953                 mbspc.Degree());
 954               GeomLib_CheckBSplineCurve Check(BS,myTolCheck,myTolAngCheck);
 955               Check.FixTangent(Standard_True,Standard_True);
 956               //
 957               //Check IsClosed()
 958               Standard_Real aDist = Max(BS->StartPoint().XYZ().SquareModulus(),
 959                 BS->EndPoint().XYZ().SquareModulus());
 960               Standard_Real eps = Epsilon(aDist);
 961               if(BS->StartPoint().SquareDistance(BS->EndPoint()) < 2.*eps &&
 962                 !BS->IsClosed() && !BS->IsPeriodic())
 963               {
 964                 //force Closed()
 965                 gp_Pnt aPm((BS->Pole(1).XYZ() + BS->Pole(BS->NbPoles()).XYZ()) / 2.);
 966                 BS->SetPole(1, aPm);
 967                 BS->SetPole(BS->NbPoles(), aPm);
 968               }
 969               sline.Append(BS);
 970
 971               if(myApprox1) {
 972                 TColgp_Array1OfPnt2d tpoles2d(1,nbpoles);
 973                 mbspc.Curve(2,tpoles2d);
 974                 Handle(Geom2d_BSplineCurve) BS1=new Geom2d_BSplineCurve(tpoles2d,
 975                   mbspc.Knots(),
 976                   mbspc.Multiplicities(),
 977                   mbspc.Degree());
 978                 GeomLib_Check2dBSplineCurve newCheck(BS1,myTolCheck,myTolAngCheck);
 979                 newCheck.FixTangent(Standard_True,Standard_True);
 980                 //
 981                 AdjustUPeriodic (aS1, BS1);
 982                 //
 983                 slineS1.Append(BS1);
 984               }
 985               else {
 986                 slineS1.Append(H1);
 987               }
 988               if(myApprox2) {
 989                 TColgp_Array1OfPnt2d tpoles2d(1,nbpoles);
 990                 mbspc.Curve((myApprox1==Standard_True)? 3 : 2,tpoles2d);
 991                 Handle(Geom2d_BSplineCurve) BS2=new Geom2d_BSplineCurve(tpoles2d,
 992                   mbspc.Knots(),
 993                   mbspc.Multiplicities(),
 994                   mbspc.Degree());
 995                 GeomLib_Check2dBSplineCurve newCheck(BS2,myTolCheck,myTolAngCheck);
 996                 newCheck.FixTangent(Standard_True,Standard_True);
 997                 //
 998                 AdjustUPeriodic (aS2, BS2);
 999                 //
1000                 slineS2.Append(BS2);
1001               }
1002               else {
1003                 slineS2.Append(H1);
1004               }
1005             }// else { // typs1!=GeomAbs_Plane && typs2!=GeomAbs_Plane
1006           }// for (j=1; j<=aNbMultiCurves; j++
1007         }
1008       }
1009     }
1010   }
1011   break;
1012
1013   case IntPatch_Restriction:
1014     {
1015       GeomAbs_SurfaceType typS1 = myHS1->Surface().GetType();
1016       GeomAbs_SurfaceType typS2 = myHS2->Surface().GetType();
1017       Standard_Boolean isAnalS1 = Standard_False;
1018       switch (typS1)
1019       {
1020       case GeomAbs_Plane:
1021       case GeomAbs_Cylinder:
1022       case GeomAbs_Sphere:
1023       case GeomAbs_Cone:
1024       case GeomAbs_Torus: isAnalS1 = Standard_True; break;
1025       default: break;
1026       }
1027
1028       Standard_Integer isAnalS2 = Standard_False;
1029       switch (typS2)
1030       {
1031       case GeomAbs_Plane:
1032       case GeomAbs_Cylinder:
1033       case GeomAbs_Sphere:
1034       case GeomAbs_Cone:
1035       case GeomAbs_Torus: isAnalS2 = Standard_True; break;
1036       default: break;
1037       }
1038
1039       if(!isAnalS1 || !isAnalS2)
1040       {
1041         Handle(IntPatch_RLine) RL =
1042           Handle(IntPatch_RLine)::DownCast(L);
1043         Handle(Geom_Curve) aC3d;
1044         Handle(Geom2d_Curve) aC2d1, aC2d2;
1045         Standard_Real aTolReached;
1046         TreatRLine(RL, myHS1, myHS2, myApprox1, myApprox2, aC3d,
1047           aC2d1, aC2d2, aTolReached);
1048         sline.Append(aC3d);
1049         slineS1.Append(aC2d1);
1050         slineS2.Append(aC2d2);
1051       }
1052     }
1053     break;
1054
1055   }
1056 }
1057 //
1058 //=======================================================================
1059 //function : AdjustUPeriodic
1060 //purpose  :
1061 //=======================================================================
1062 void TreatRLine(const Handle(IntPatch_RLine)& theRL,
1063                 const Handle(GeomAdaptor_HSurface)& theHS1,
1064                 const Handle(GeomAdaptor_HSurface)& theHS2,
1065                 const Standard_Boolean theApprox1,
1066                 const Standard_Boolean theApprox2,
1067                 Handle(Geom_Curve)& theC3d,
1068                 Handle(Geom2d_Curve)& theC2d1,
1069                 Handle(Geom2d_Curve)& theC2d2,
1070                 Standard_Real& theTolReached)
1071 {
1072   Handle(GeomAdaptor_HSurface) aGAHS;
1073   Handle(Adaptor2d_HCurve2d) anAHC2d;
1074   Standard_Real tf, tl;
1075   gp_Lin2d aL;
1076   // It is assumed that 2d curve is 2d line (rectangular surface domain)
1077   if(theRL->IsArcOnS1())
1078   {
1079     aGAHS = theHS1;
1080     anAHC2d = theRL->ArcOnS1();
1081     theRL->ParamOnS1(tf, tl);
1082     theC2d1 = Geom2dAdaptor::MakeCurve(theRL->ArcOnS1()->Curve2d());
1083   }
1084   else if (theRL->IsArcOnS2())
1085   {
1086     aGAHS = theHS2;
1087     anAHC2d = theRL->ArcOnS2();
1088     theRL->ParamOnS2(tf, tl);
1089     theC2d2 = Geom2dAdaptor::MakeCurve(theRL->ArcOnS2()->Curve2d());
1090   }
1091   else
1092   {
1093     return;
1094   }
1095   //
1096   //To provide sameparameter it is necessary to get 3d curve as
1097   //approximation of curve on surface.
1098   Standard_Integer aMaxDeg = 8;
1099   Standard_Integer aMaxSeg = 1000;
1100   Approx_CurveOnSurface anApp(anAHC2d, aGAHS, tf, tl, Precision::Confusion(),
1101                               GeomAbs_C1, aMaxDeg, aMaxSeg,
1102                               Standard_True, Standard_False);
1103   if(anApp.HasResult())
1104   {
1105     theC3d = anApp.Curve3d();
1106     theTolReached = anApp.MaxError3d();
1107     Standard_Real aTol = Precision::Confusion();
1108     if(theRL->IsArcOnS1() && theApprox2)
1109     {
1110       Handle(Geom_Surface) aS = GeomAdaptor::MakeSurface(theHS1->Surface());
1111       BuildPCurves (tf, tl, aTol,
1112                     aS, theC3d, theC2d2);
1113     }
1114     if(theRL->IsArcOnS2() && theApprox1)
1115     {
1116       Handle(Geom_Surface) aS = GeomAdaptor::MakeSurface(theHS2->Surface());
1117       BuildPCurves (tf, tl, aTol,
1118                     aS, theC3d, theC2d1);
1119     }
1120     theTolReached = Max(theTolReached, aTol);
1121   }
1122   //
1123
1124 }
1125 //
1126 //=======================================================================
1127 //function : AdjustUPeriodic
1128 //purpose  :
1129 //=======================================================================
1130  void AdjustUPeriodic (const Handle(Geom_Surface)& aS, Handle(Geom2d_Curve)& aC2D)
1131 {
1132   if (aC2D.IsNull() || !aS->IsUPeriodic())
1133     return;
1134   //
1135   const Standard_Real aEps=Precision::PConfusion();//1.e-9
1136   const Standard_Real aEpsilon=Epsilon(10.);//1.77e-15
1137   //
1138   Standard_Real umin,umax,vmin,vmax;
1139   aS->Bounds(umin,umax,vmin,vmax);
1140   const Standard_Real aPeriod = aS->UPeriod();
1141
1142   const Standard_Real aT1=aC2D->FirstParameter();
1143   const Standard_Real aT2=aC2D->LastParameter();
1144   const Standard_Real aTx=aT1+0.467*(aT2-aT1);
1145   const gp_Pnt2d aPx=aC2D->Value(aTx);
1146   //
1147   Standard_Real aUx=aPx.X();
1148   if (fabs(aUx)<aEpsilon)
1149     aUx=0.;
1150   if (fabs(aUx-aPeriod)<aEpsilon)
1151     aUx=aPeriod;
1152   //
1153   Standard_Real dU=0.;
1154   while(aUx <(umin-aEps)) {
1155     aUx+=aPeriod;
1156     dU+=aPeriod;
1157   }
1158   while(aUx>(umax+aEps)) {
1159     aUx-=aPeriod;
1160     dU-=aPeriod;
1161   }
1162   //
1163   if (dU!=0.) {
1164     gp_Vec2d aV2D(dU, 0.);
1165     aC2D->Translate(aV2D);
1166   }
1167 }
1168 //
1169 //
1170 //=======================================================================
1171 //function : BuildPCurves
1172 //purpose  :
1173 //=======================================================================
1174  void BuildPCurves (Standard_Real f, Standard_Real l,
1175                     Standard_Real& Tol,
1176                     const Handle(Geom_Surface)& S,
1177                     const Handle(Geom_Curve)& C,
1178                     Handle(Geom2d_Curve)& C2d)
1179 {
1180   if (C2d.IsNull())
1181   {
1182     C2d = GeomProjLib::Curve2d(C,f,l,S,Tol);
1183     if (S->IsUPeriodic())
1184     {
1185       Standard_Real umin,umax,vmin,vmax;
1186       S->Bounds(umin,umax,vmin,vmax);
1187       // Recadre dans le domaine UV de la face
1188       const Standard_Real period = S->UPeriod();
1189       gp_Pnt2d Pf=C2d->Value(f);
1190       //
1191       Standard_Real U0=Pf.X();
1192       //
1193       const Standard_Real aEpsilon=Epsilon(10.);//1.77e-15
1194       if (fabs(U0)<aEpsilon)
1195         U0=0.;
1196       if (fabs(U0-period)<aEpsilon)
1197         U0=period;
1198       //
1199       const Standard_Real aEps=Precision::PConfusion();//1.e-9
1200       Standard_Real du=0.;
1201       while(U0 <(umin-aEps)) {
1202         U0+=period;
1203         du+=period;
1204       }
1205       while(U0>(umax+aEps)) {
1206         U0-=period;
1207         du-=period;
1208       }
1209       if (du!=0.) {
1210         gp_Vec2d T1(du, 0.);
1211         C2d->Translate(T1);
1212       }
1213     }
1214   }
1215 }
1216 //
1217 //=======================================================================
1218 //function : GetQuadric
1219 //purpose  :
1220 //=======================================================================
1221  void GetQuadric(const Handle(GeomAdaptor_HSurface)& HS1, IntSurf_Quadric& quad1)
1222 {
1223   switch (HS1->Surface().GetType())
1224   {
1225     case GeomAbs_Plane:    quad1.SetValue(HS1->Surface().Plane()); break;
1226     case GeomAbs_Cylinder: quad1.SetValue(HS1->Surface().Cylinder()); break;
1227     case GeomAbs_Cone:     quad1.SetValue(HS1->Surface().Cone()); break;
1228     case GeomAbs_Sphere:   quad1.SetValue(HS1->Surface().Sphere()); break;
1229     case GeomAbs_Torus:    quad1.SetValue(HS1->Surface().Torus()); break;
1230     default: Standard_ConstructionError::Raise("GeomInt_IntSS::MakeCurve");
1231   }
1232 }
1233
1234 //=======================================================================
1235 //function : Parameters
1236 //purpose  :
1237 //=======================================================================
1238  void Parameters(const Handle(GeomAdaptor_HSurface)& HS1,
1239                  const Handle(GeomAdaptor_HSurface)& HS2,
1240                  const gp_Pnt& Ptref,
1241                  Standard_Real& U1,
1242                  Standard_Real& V1,
1243                  Standard_Real& U2,
1244                  Standard_Real& V2)
1245 {
1246   IntSurf_Quadric quad1,quad2;
1247   //
1248   GetQuadric(HS1, quad1);
1249   GetQuadric(HS2, quad2);
1250   //
1251   quad1.Parameters(Ptref,U1,V1);
1252   quad2.Parameters(Ptref,U2,V2);
1253 }
1254
1255 //=======================================================================
1256 //function : MakeBSpline
1257 //purpose  :
1258 //=======================================================================
1259 Handle(Geom_Curve) MakeBSpline  (const Handle(IntPatch_WLine)& WL,
1260                                  const Standard_Integer ideb,
1261                                  const Standard_Integer ifin)
1262 {
1263   const Standard_Integer nbpnt = ifin-ideb+1;
1264   TColgp_Array1OfPnt poles(1,nbpnt);
1265   TColStd_Array1OfReal knots(1,nbpnt);
1266   TColStd_Array1OfInteger mults(1,nbpnt);
1267   Standard_Integer i = 1, ipidebm1 = ideb;
1268   for(; i<=nbpnt; ipidebm1++, i++)
1269   {
1270     poles(i) = WL->Point(ipidebm1).Value();
1271     mults(i) = 1;
1272     knots(i) = i-1;
1273   }
1274   mults(1) = mults(nbpnt) = 2;
1275   return new Geom_BSplineCurve(poles,knots,mults,1);
1276 }
1277
1278 //=======================================================================
1279 //function : MakeBSpline2d
1280 //purpose  :
1281 //=======================================================================
1282 Handle(Geom2d_BSplineCurve) MakeBSpline2d(const Handle(IntPatch_WLine)& theWLine,
1283                                           const Standard_Integer ideb,
1284                                           const Standard_Integer ifin,
1285                                           const Standard_Boolean onFirst)
1286 {
1287   const Standard_Integer nbpnt = ifin-ideb+1;
1288   TColgp_Array1OfPnt2d poles(1,nbpnt);
1289   TColStd_Array1OfReal knots(1,nbpnt);
1290   TColStd_Array1OfInteger mults(1,nbpnt);
1291   Standard_Integer i = 1, ipidebm1 = ideb;
1292   for(; i <= nbpnt; ipidebm1++, i++)
1293   {
1294     Standard_Real U, V;
1295     if(onFirst)
1296           theWLine->Point(ipidebm1).ParametersOnS1(U, V);
1297     else
1298           theWLine->Point(ipidebm1).ParametersOnS2(U, V);
1299     poles(i).SetCoord(U, V);
1300     mults(i) = 1;
1301     knots(i) = i-1;
1302   }
1303   mults(1) = mults(nbpnt) = 2;
1304   return new Geom2d_BSplineCurve(poles,knots,mults,1);
1305 }
1306
1307 //=========================================================================
1308 // static function : ComputePurgedWLine
1309 // purpose : Removes equal points (leave one of equal points) from theWLine
1310 //           and recompute vertex parameters.
1311 //           Returns new WLine or null WLine if the number
1312 //           of the points is less than 2.
1313 //=========================================================================
1314 Handle(IntPatch_WLine) ComputePurgedWLine(const Handle(IntPatch_WLine)& theWLine)
1315 {
1316   Handle(IntPatch_WLine) aResult;
1317   Handle(IntPatch_WLine) aLocalWLine;
1318   Handle(IntPatch_WLine) aTmpWLine = theWLine;
1319
1320   Handle(IntSurf_LineOn2S) aLineOn2S = new IntSurf_LineOn2S();
1321   aLocalWLine = new IntPatch_WLine(aLineOn2S, Standard_False);
1322   Standard_Integer i, k, v, nb, nbvtx;
1323   nbvtx = theWLine->NbVertex();
1324   nb = theWLine->NbPnts();
1325
1326   for(i = 1; i <= nb; i++) {
1327     aLineOn2S->Add(theWLine->Point(i));
1328   }
1329
1330   for(v = 1; v <= nbvtx; v++) {
1331     aLocalWLine->AddVertex(theWLine->Vertex(v));
1332   }
1333
1334   for(i = 1; i <= aLineOn2S->NbPoints(); i++) {
1335     Standard_Integer aStartIndex = i + 1;
1336     Standard_Integer anEndIndex = i + 5;
1337     nb = aLineOn2S->NbPoints();
1338     anEndIndex = (anEndIndex > nb) ? nb : anEndIndex;
1339
1340     if((aStartIndex >= nb) || (anEndIndex <= 1)) {
1341       continue;
1342     }
1343     k = aStartIndex;
1344
1345     while(k <= anEndIndex) {
1346
1347       if(i != k) {
1348         IntSurf_PntOn2S p1 = aLineOn2S->Value(i);
1349         IntSurf_PntOn2S p2 = aLineOn2S->Value(k);
1350
1351         if(p1.Value().IsEqual(p2.Value(), gp::Resolution())) {
1352           aTmpWLine = aLocalWLine;
1353           aLocalWLine = new IntPatch_WLine(aLineOn2S, Standard_False);
1354
1355           for(v = 1; v <= aTmpWLine->NbVertex(); v++) {
1356             IntPatch_Point aVertex = aTmpWLine->Vertex(v);
1357             Standard_Integer avertexindex = (Standard_Integer)aVertex.ParameterOnLine();
1358
1359             if(avertexindex >= k) {
1360               aVertex.SetParameter(aVertex.ParameterOnLine() - 1.);
1361             }
1362             aLocalWLine->AddVertex(aVertex);
1363           }
1364           aLineOn2S->RemovePoint(k);
1365           anEndIndex--;
1366           continue;
1367         }
1368       }
1369       k++;
1370     }
1371   }
1372
1373   if(aLineOn2S->NbPoints() > 1) {
1374     aResult = aLocalWLine;
1375   }
1376   return aResult;
1377 }
1378 //=======================================================================
1379 //function : DecompositionOfWLine
1380 //purpose  :
1381 //=======================================================================
1382 Standard_Boolean DecompositionOfWLine(const Handle(IntPatch_WLine)& theWLine,
1383                                       const Handle(GeomAdaptor_HSurface)&            theSurface1,
1384                                       const Handle(GeomAdaptor_HSurface)&            theSurface2,
1385                                       const Standard_Real aTolSum,
1386                                       const GeomInt_LineConstructor&                 theLConstructor,
1387                                       IntPatch_SequenceOfLine&                       theNewLines)
1388 {
1389   typedef NCollection_List<Standard_Integer> ListOfInteger;
1390   //have to use std::vector, not NCollection_Vector in order to use copy constructor of
1391   //ListOfInteger which will be created with specific allocator instance
1392   typedef std::vector<ListOfInteger, NCollection_StdAllocator<
1393       ListOfInteger> > ArrayOfListOfInteger;
1394
1395   Standard_Boolean bIsPrevPointOnBoundary, bIsCurrentPointOnBoundary;
1396   Standard_Integer nblines, aNbPnts, aNbParts, pit, i, j, aNbListOfPointIndex;
1397   Standard_Real aTol, umin, umax, vmin, vmax;
1398
1399   //an inc allocator, it will contain wasted space (upon list's Clear()) but it should
1400   //still be faster than the standard allocator, and wasted memory should not be
1401   //significant and will be limited by time span of this function;
1402   //this is a separate allocator from the anIncAlloc below what provides better data
1403   //locality in the latter (by avoiding wastes which will only be in anIdxAlloc)
1404   Handle(NCollection_IncAllocator) anIdxAlloc = new NCollection_IncAllocator();
1405   ListOfInteger aListOfPointIndex (anIdxAlloc);
1406
1407   //GeomAPI_ProjectPointOnSurf aPrj1, aPrj2;
1408   ProjectPointOnSurf aPrj1, aPrj2;
1409   Handle(Geom_Surface) aSurf1,  aSurf2;
1410   //
1411   aNbParts=theLConstructor.NbParts();
1412   aNbPnts=theWLine->NbPnts();
1413   //
1414   if((!aNbPnts) || (!aNbParts)){
1415     return Standard_False;
1416   }
1417   //
1418   Handle(NCollection_IncAllocator) anIncAlloc = new NCollection_IncAllocator();
1419   NCollection_StdAllocator<ListOfInteger> anAlloc (anIncAlloc);
1420   const ListOfInteger aDummy (anIncAlloc); //empty list to be copy constructed from
1421   ArrayOfListOfInteger anArrayOfLines (aNbPnts + 1, aDummy, anAlloc);
1422
1423   NCollection_LocalArray<Standard_Integer> anArrayOfLineTypeArr (aNbPnts + 1);
1424   Standard_Integer* anArrayOfLineType = anArrayOfLineTypeArr;
1425   //
1426   nblines = 0;
1427   aTol = Precision::Confusion();
1428   //
1429   aSurf1 = theSurface1->ChangeSurface().Surface();
1430   aSurf1->Bounds(umin, umax, vmin, vmax);
1431   aPrj1.Init(aSurf1, umin, umax, vmin, vmax);
1432   //
1433   aSurf2 = theSurface2->ChangeSurface().Surface();
1434   aSurf2->Bounds(umin, umax, vmin, vmax);
1435   aPrj2.Init(aSurf2, umin, umax, vmin, vmax);
1436   //
1437   //
1438   bIsPrevPointOnBoundary=Standard_False;
1439   for(pit=1; pit<=aNbPnts; pit++) {
1440     const IntSurf_PntOn2S& aPoint = theWLine->Point(pit);
1441     bIsCurrentPointOnBoundary=Standard_False;
1442     //
1443     // whether aPoint is on boundary or not
1444     //
1445     for(i=0; i<2; i++) {// exploration Surface 1,2
1446       Handle(GeomAdaptor_HSurface) aGASurface = (!i) ? theSurface1 : theSurface2;
1447       aGASurface->ChangeSurface().Surface()->Bounds(umin, umax, vmin, vmax);
1448       //
1449       for(j=0; j<2; j++) {// exploration of coordinate U,V
1450         Standard_Boolean isperiodic;
1451         //
1452         isperiodic = (!j) ? aGASurface->IsUPeriodic() : aGASurface->IsVPeriodic();
1453         if(!isperiodic) {
1454           continue;
1455         }
1456         //
1457         Standard_Real aResolution, aPeriod, alowerboundary, aupperboundary, U, V;
1458         Standard_Real aParameter, anoffset, anAdjustPar;
1459         Standard_Boolean bIsOnFirstBoundary, bIsPointOnBoundary;
1460         //
1461         aResolution = (!j) ? aGASurface->UResolution(aTol) : aGASurface->VResolution(aTol);
1462         aPeriod     = (!j) ? aGASurface->UPeriod() : aGASurface->VPeriod();
1463         alowerboundary = (!j) ? umin : vmin;
1464         aupperboundary = (!j) ? umax : vmax;
1465         U=0.;V=0.;//?
1466         //
1467         if(!i){
1468           aPoint.ParametersOnS1(U, V);
1469         }
1470         else{
1471           aPoint.ParametersOnS2(U, V);
1472         }
1473         //
1474         aParameter = (!j) ? U : V;
1475         anoffset=0.;
1476         anAdjustPar=AdjustPeriodic(aParameter, alowerboundary, aupperboundary, aPeriod, anoffset);
1477         //
1478         bIsOnFirstBoundary=Standard_True;
1479         //
1480         bIsPointOnBoundary=
1481           IsPointOnBoundary(anAdjustPar, alowerboundary, aupperboundary, aResolution, bIsOnFirstBoundary);
1482
1483         if(bIsPointOnBoundary) {
1484           bIsCurrentPointOnBoundary = Standard_True;
1485           break;
1486         }
1487       }// for(j=0; j<2; j++)
1488
1489       if(bIsCurrentPointOnBoundary){
1490         break;
1491       }
1492     }// for(i=0; i<2; i++)
1493     //
1494     if((bIsCurrentPointOnBoundary != bIsPrevPointOnBoundary)) {
1495
1496       if(!aListOfPointIndex.IsEmpty()) {
1497         nblines++;
1498         anArrayOfLines[nblines] = aListOfPointIndex;
1499         anArrayOfLineType[nblines] = bIsPrevPointOnBoundary;
1500         aListOfPointIndex.Clear();
1501       }
1502       bIsPrevPointOnBoundary = bIsCurrentPointOnBoundary;
1503     }
1504     aListOfPointIndex.Append(pit);
1505   } // for(pit=1; pit<=aNbPnts; pit++)
1506   //
1507   aNbListOfPointIndex=aListOfPointIndex.Extent();
1508   if(aNbListOfPointIndex) {
1509     nblines++;
1510     anArrayOfLines[nblines] = aListOfPointIndex;
1511     anArrayOfLineType[nblines] = bIsPrevPointOnBoundary;
1512     aListOfPointIndex.Clear();
1513   }
1514   //
1515   if(nblines <= 1){
1516     return Standard_False;
1517   }
1518   //
1519   // Correct wlines.begin
1520   Standard_Integer aLineType;
1521   TColStd_Array1OfListOfInteger anArrayOfLineEnds(1, nblines);
1522   Handle(IntSurf_LineOn2S) aSeqOfPntOn2S = new IntSurf_LineOn2S (new NCollection_IncAllocator());
1523   //
1524   for(i = 1; i <= nblines; i++) {
1525     aLineType=anArrayOfLineType[i];
1526     if(aLineType) {
1527       continue;
1528     }
1529     //
1530     const ListOfInteger& aListOfIndex = anArrayOfLines[i];
1531     if(aListOfIndex.Extent() < 2) {
1532       continue;
1533     }
1534     //
1535     TColStd_ListOfInteger aListOfFLIndex;
1536     Standard_Integer aneighbourindex, aLineTypeNeib;
1537     //
1538     for(j = 0; j < 2; j++) {// neighbour line choice
1539       aneighbourindex = (!j) ? (i-1) : (i+1);
1540       if((aneighbourindex < 1) || (aneighbourindex > nblines)){
1541         continue;
1542       }
1543       //
1544       aLineTypeNeib=anArrayOfLineType[aneighbourindex];
1545       if(!aLineTypeNeib){
1546         continue;
1547       }
1548       //
1549       const ListOfInteger& aNeighbour = anArrayOfLines[aneighbourindex];
1550       Standard_Integer anIndex = (!j) ? aNeighbour.Last() : aNeighbour.First();
1551       const IntSurf_PntOn2S& aPoint = theWLine->Point(anIndex);
1552       // check if need use derivative.begin .end [absence]
1553       //
1554       IntSurf_PntOn2S aNewP = aPoint;
1555       Standard_Integer surfit, parit;
1556       //
1557       for(surfit = 0; surfit < 2; ++surfit) {
1558
1559         Handle(GeomAdaptor_HSurface) aGASurface = (!surfit) ? theSurface1 : theSurface2;
1560
1561         aGASurface->ChangeSurface().Surface()->Bounds(umin, umax, vmin, vmax);
1562         Standard_Real U=0., V=0.;
1563
1564         if(!surfit) {
1565           aNewP.ParametersOnS1(U, V);
1566         }
1567         else {
1568           aNewP.ParametersOnS2(U, V);
1569         }
1570         //
1571         Standard_Integer nbboundaries = 0;
1572         Standard_Integer bIsUBoundary = Standard_False; // use if nbboundaries == 1
1573         Standard_Integer bIsFirstBoundary = Standard_False; // use if nbboundaries == 1
1574         //
1575         for(parit = 0; parit < 2; parit++) {
1576           Standard_Boolean isperiodic = (!parit) ? aGASurface->IsUPeriodic() : aGASurface->IsVPeriodic();
1577
1578           Standard_Real aResolution = (!parit) ? aGASurface->UResolution(aTol) : aGASurface->VResolution(aTol);
1579           Standard_Real alowerboundary = (!parit) ? umin : vmin;
1580           Standard_Real aupperboundary = (!parit) ? umax : vmax;
1581
1582           Standard_Real aParameter = (!parit) ? U : V;
1583           Standard_Boolean bIsOnFirstBoundary = Standard_True;
1584
1585           if(!isperiodic) {
1586             if(IsPointOnBoundary(aParameter, alowerboundary, aupperboundary, aResolution, bIsOnFirstBoundary)) {
1587               bIsUBoundary = (!parit);
1588               bIsFirstBoundary = bIsOnFirstBoundary;
1589               nbboundaries++;
1590             }
1591           }
1592           else {
1593             Standard_Real aPeriod     = (!parit) ? aGASurface->UPeriod() : aGASurface->VPeriod();
1594             Standard_Real anoffset = 0.;
1595             Standard_Real anAdjustPar = AdjustPeriodic(aParameter, alowerboundary, aupperboundary, aPeriod, anoffset);
1596
1597             if(IsPointOnBoundary(anAdjustPar, alowerboundary, aupperboundary, aResolution, bIsOnFirstBoundary)) {
1598               bIsUBoundary = (parit == 0);
1599               bIsFirstBoundary = bIsOnFirstBoundary;
1600               nbboundaries++;
1601             }
1602           }
1603         }
1604         //
1605         Standard_Boolean bComputeLineEnd = Standard_False;
1606
1607         if(nbboundaries == 2) {
1608           bComputeLineEnd = Standard_True;
1609         }
1610         else if(nbboundaries == 1) {
1611           Standard_Boolean isperiodic = (bIsUBoundary) ? aGASurface->IsUPeriodic() : aGASurface->IsVPeriodic();
1612
1613           if(isperiodic) {
1614             Standard_Real alowerboundary = (bIsUBoundary) ? umin : vmin;
1615             Standard_Real aupperboundary = (bIsUBoundary) ? umax : vmax;
1616             Standard_Real aPeriod     = (bIsUBoundary) ? aGASurface->UPeriod() : aGASurface->VPeriod();
1617             Standard_Real aParameter = (bIsUBoundary) ? U : V;
1618             Standard_Real anoffset = 0.;
1619             Standard_Real anAdjustPar = AdjustPeriodic(aParameter, alowerboundary, aupperboundary, aPeriod, anoffset);
1620
1621             Standard_Real adist = (bIsFirstBoundary) ? fabs(anAdjustPar - alowerboundary) : fabs(anAdjustPar - aupperboundary);
1622             Standard_Real anotherPar = (bIsFirstBoundary) ? (aupperboundary - adist) : (alowerboundary + adist);
1623             anotherPar += anoffset;
1624             Standard_Integer aneighbourpointindex = (j == 0) ? aListOfIndex.First() : aListOfIndex.Last();
1625             const IntSurf_PntOn2S& aNeighbourPoint = theWLine->Point(aneighbourpointindex);
1626             Standard_Real nU1, nV1;
1627
1628             if(surfit == 0)
1629               aNeighbourPoint.ParametersOnS1(nU1, nV1);
1630             else
1631               aNeighbourPoint.ParametersOnS2(nU1, nV1);
1632
1633             Standard_Real adist1 = (bIsUBoundary) ? fabs(nU1 - U) : fabs(nV1 - V);
1634             Standard_Real adist2 = (bIsUBoundary) ? fabs(nU1 - anotherPar) : fabs(nV1 - anotherPar);
1635             bComputeLineEnd = Standard_True;
1636             Standard_Boolean bCheckAngle1 = Standard_False;
1637             Standard_Boolean bCheckAngle2 = Standard_False;
1638             gp_Vec2d aNewVec;
1639             Standard_Real anewU = (bIsUBoundary) ? anotherPar : U;
1640             Standard_Real anewV = (bIsUBoundary) ? V : anotherPar;
1641             //
1642             if(((adist1 - adist2) > Precision::PConfusion()) &&
1643                (adist2 < (aPeriod / 4.))) {
1644               bCheckAngle1 = Standard_True;
1645               aNewVec = gp_Vec2d(gp_Pnt2d(nU1, nV1), gp_Pnt2d(anewU, anewV));
1646
1647               if(aNewVec.SquareMagnitude() < (gp::Resolution() * gp::Resolution())) {
1648                 aNewP.SetValue((surfit == 0), anewU, anewV);
1649                 bCheckAngle1 = Standard_False;
1650               }
1651             }
1652             else if(adist1 < (aPeriod / 4.)) {
1653               bCheckAngle2 = Standard_True;
1654               aNewVec = gp_Vec2d(gp_Pnt2d(nU1, nV1), gp_Pnt2d(U, V));
1655
1656               if(aNewVec.SquareMagnitude() < (gp::Resolution() * gp::Resolution())) {
1657                 bCheckAngle2 = Standard_False;
1658               }
1659             }
1660             //
1661             if(bCheckAngle1 || bCheckAngle2) {
1662               // assume there are at least two points in line (see "if" above)
1663               Standard_Integer anindexother = aneighbourpointindex;
1664
1665               while((anindexother <= aListOfIndex.Last()) && (anindexother >= aListOfIndex.First())) {
1666                 anindexother = (j == 0) ? (anindexother + 1) : (anindexother - 1);
1667                 const IntSurf_PntOn2S& aPrevNeighbourPoint = theWLine->Point(anindexother);
1668                 Standard_Real nU2, nV2;
1669
1670                 if(surfit == 0)
1671                   aPrevNeighbourPoint.ParametersOnS1(nU2, nV2);
1672                 else
1673                   aPrevNeighbourPoint.ParametersOnS2(nU2, nV2);
1674                 gp_Vec2d aVecOld(gp_Pnt2d(nU2, nV2), gp_Pnt2d(nU1, nV1));
1675
1676                 if(aVecOld.SquareMagnitude() <= (gp::Resolution() * gp::Resolution())) {
1677                   continue;
1678                 }
1679                 else {
1680                   Standard_Real anAngle = aNewVec.Angle(aVecOld);
1681
1682                   if((fabs(anAngle) < (M_PI * 0.25)) && (aNewVec.Dot(aVecOld) > 0.)) {
1683
1684                     if(bCheckAngle1) {
1685                       Standard_Real U1, U2, V1, V2;
1686                       IntSurf_PntOn2S atmppoint = aNewP;
1687                       atmppoint.SetValue((surfit == 0), anewU, anewV);
1688                       atmppoint.Parameters(U1, V1, U2, V2);
1689                       gp_Pnt P1 = theSurface1->Value(U1, V1);
1690                       gp_Pnt P2 = theSurface2->Value(U2, V2);
1691                       gp_Pnt P0 = aPoint.Value();
1692
1693                       if(P0.IsEqual(P1, aTol) &&
1694                          P0.IsEqual(P2, aTol) &&
1695                          P1.IsEqual(P2, aTol)) {
1696                         bComputeLineEnd = Standard_False;
1697                         aNewP.SetValue((surfit == 0), anewU, anewV);
1698                       }
1699                     }
1700
1701                     if(bCheckAngle2) {
1702                       bComputeLineEnd = Standard_False;
1703                     }
1704                   }
1705                   break;
1706                 }
1707               } // end while(anindexother...)
1708             }
1709           }
1710         }
1711         //
1712         if(bComputeLineEnd) {
1713           Standard_Integer aneighbourpointindex1 = (j == 0) ? aListOfIndex.First() : aListOfIndex.Last();
1714           const IntSurf_PntOn2S& aNeighbourPoint = theWLine->Point(aneighbourpointindex1);
1715           Standard_Real nU1, nV1;
1716
1717           if(surfit == 0)
1718             aNeighbourPoint.ParametersOnS1(nU1, nV1);
1719           else
1720             aNeighbourPoint.ParametersOnS2(nU1, nV1);
1721           gp_Pnt2d ap1(nU1, nV1);
1722           gp_Pnt2d ap2(nU1, nV1);
1723           Standard_Integer aneighbourpointindex2 = aneighbourpointindex1;
1724
1725           while((aneighbourpointindex2 <= aListOfIndex.Last()) && (aneighbourpointindex2 >= aListOfIndex.First())) {
1726             aneighbourpointindex2 = (j == 0) ? (aneighbourpointindex2 + 1) : (aneighbourpointindex2 - 1);
1727             const IntSurf_PntOn2S& aPrevNeighbourPoint = theWLine->Point(aneighbourpointindex2);
1728             Standard_Real nU2, nV2;
1729
1730             if(surfit == 0)
1731               aPrevNeighbourPoint.ParametersOnS1(nU2, nV2);
1732             else
1733               aPrevNeighbourPoint.ParametersOnS2(nU2, nV2);
1734             ap2.SetX(nU2);
1735             ap2.SetY(nV2);
1736
1737             if(ap1.SquareDistance(ap2) > (gp::Resolution() * gp::Resolution())) {
1738               break;
1739             }
1740           }
1741           gp_Pnt2d anewpoint;
1742           Standard_Boolean found = FindPoint(ap2, ap1, umin, umax, vmin, vmax, anewpoint);
1743
1744           if(found) {
1745             // check point
1746             Standard_Real aCriteria =aTolSum;// BRep_Tool::Tolerance(theFace1) + BRep_Tool::Tolerance(theFace2);
1747             //GeomAPI_ProjectPointOnSurf& aProjector = (surfit == 0) ? aPrj2 : aPrj1;
1748             ProjectPointOnSurf& aProjector = (surfit == 0) ? aPrj2 : aPrj1;
1749             Handle(GeomAdaptor_HSurface) aSurface = (surfit == 0) ? theSurface1 : theSurface2;
1750
1751             gp_Pnt aP3d = aSurface->Value(anewpoint.X(), anewpoint.Y());
1752             aProjector.Perform(aP3d);
1753
1754             if(aProjector.IsDone()) {
1755               if(aProjector.LowerDistance() < aCriteria) {
1756                 Standard_Real foundU = U, foundV = V;
1757                 aProjector.LowerDistanceParameters(foundU, foundV);
1758
1759                 if(surfit == 0)
1760                   aNewP.SetValue(aP3d, anewpoint.X(), anewpoint.Y(), foundU, foundV);
1761                 else
1762                   aNewP.SetValue(aP3d, foundU, foundV, anewpoint.X(), anewpoint.Y());
1763               }
1764             }
1765           }
1766         }
1767       }
1768       aSeqOfPntOn2S->Add(aNewP);
1769       aListOfFLIndex.Append(aSeqOfPntOn2S->NbPoints());
1770     }
1771     anArrayOfLineEnds.SetValue(i, aListOfFLIndex);
1772   }
1773   // Correct wlines.end
1774
1775   // Split wlines.begin
1776   for(j = 1; j <= theLConstructor.NbParts(); j++) {
1777     Standard_Real fprm = 0., lprm = 0.;
1778     theLConstructor.Part(j, fprm, lprm);
1779     Standard_Integer ifprm = (Standard_Integer)fprm;
1780     Standard_Integer ilprm = (Standard_Integer)lprm;
1781     //
1782     Handle(IntSurf_LineOn2S) aLineOn2S = new IntSurf_LineOn2S();
1783     //
1784     for(i = 1; i <= nblines; i++) {
1785       if(anArrayOfLineType[i] != 0) {
1786         continue;
1787       }
1788       const ListOfInteger& aListOfIndex = anArrayOfLines[i];
1789
1790       if(aListOfIndex.Extent() < 2) {
1791         continue;
1792       }
1793       const TColStd_ListOfInteger& aListOfFLIndex = anArrayOfLineEnds.Value(i);
1794       Standard_Boolean bhasfirstpoint = (aListOfFLIndex.Extent() == 2);
1795       Standard_Boolean bhaslastpoint = (aListOfFLIndex.Extent() == 2);
1796
1797       if(!bhasfirstpoint && !aListOfFLIndex.IsEmpty()) {
1798         bhasfirstpoint = (i != 1);
1799       }
1800
1801       if(!bhaslastpoint && !aListOfFLIndex.IsEmpty()) {
1802         bhaslastpoint = (i != nblines);
1803       }
1804       Standard_Boolean bIsFirstInside = ((ifprm >= aListOfIndex.First()) && (ifprm <= aListOfIndex.Last()));
1805       Standard_Boolean bIsLastInside =  ((ilprm >= aListOfIndex.First()) && (ilprm <= aListOfIndex.Last()));
1806
1807       if(!bIsFirstInside && !bIsLastInside) {
1808         if((ifprm < aListOfIndex.First()) && (ilprm > aListOfIndex.Last())) {
1809           // append whole line, and boundaries if neccesary
1810           if(bhasfirstpoint) {
1811             const IntSurf_PntOn2S& aP = aSeqOfPntOn2S->Value(aListOfFLIndex.First());
1812             aLineOn2S->Add(aP);
1813           }
1814           ListOfInteger::Iterator anIt(aListOfIndex);
1815
1816           for(; anIt.More(); anIt.Next()) {
1817             const IntSurf_PntOn2S& aP = theWLine->Point(anIt.Value());
1818             aLineOn2S->Add(aP);
1819           }
1820
1821           if(bhaslastpoint) {
1822             const IntSurf_PntOn2S& aP = aSeqOfPntOn2S->Value(aListOfFLIndex.Last());
1823             aLineOn2S->Add(aP);
1824           }
1825
1826           // check end of split line (end is almost always)
1827           Standard_Integer aneighbour = i + 1;
1828           Standard_Boolean bIsEndOfLine = Standard_True;
1829
1830           if(aneighbour <= nblines) {
1831             const ListOfInteger& aListOfNeighbourIndex = anArrayOfLines[aneighbour];
1832
1833             if((anArrayOfLineType[aneighbour] != 0) &&
1834                (aListOfNeighbourIndex.IsEmpty())) {
1835               bIsEndOfLine = Standard_False;
1836             }
1837           }
1838
1839           if(bIsEndOfLine) {
1840             if(aLineOn2S->NbPoints() > 1) {
1841               Handle(IntPatch_WLine) aNewWLine =
1842                 new IntPatch_WLine(aLineOn2S, Standard_False);
1843               theNewLines.Append(aNewWLine);
1844             }
1845             aLineOn2S = new IntSurf_LineOn2S();
1846           }
1847         }
1848         continue;
1849       }
1850       // end if(!bIsFirstInside && !bIsLastInside)
1851
1852       if(bIsFirstInside && bIsLastInside) {
1853         // append inside points between ifprm and ilprm
1854         ListOfInteger::Iterator anIt(aListOfIndex);
1855
1856         for(; anIt.More(); anIt.Next()) {
1857           if((anIt.Value() < ifprm) || (anIt.Value() > ilprm))
1858             continue;
1859           const IntSurf_PntOn2S& aP = theWLine->Point(anIt.Value());
1860           aLineOn2S->Add(aP);
1861         }
1862       }
1863       else {
1864
1865         if(bIsFirstInside) {
1866           // append points from ifprm to last point + boundary point
1867           ListOfInteger::Iterator anIt(aListOfIndex);
1868
1869           for(; anIt.More(); anIt.Next()) {
1870             if(anIt.Value() < ifprm)
1871               continue;
1872             const IntSurf_PntOn2S& aP = theWLine->Point(anIt.Value());
1873             aLineOn2S->Add(aP);
1874           }
1875
1876           if(bhaslastpoint) {
1877             const IntSurf_PntOn2S& aP = aSeqOfPntOn2S->Value(aListOfFLIndex.Last());
1878             aLineOn2S->Add(aP);
1879           }
1880           // check end of split line (end is almost always)
1881           Standard_Integer aneighbour = i + 1;
1882           Standard_Boolean bIsEndOfLine = Standard_True;
1883
1884           if(aneighbour <= nblines) {
1885             const ListOfInteger& aListOfNeighbourIndex = anArrayOfLines[aneighbour];
1886
1887             if((anArrayOfLineType[aneighbour] != 0) &&
1888                (aListOfNeighbourIndex.IsEmpty())) {
1889               bIsEndOfLine = Standard_False;
1890             }
1891           }
1892
1893           if(bIsEndOfLine) {
1894             if(aLineOn2S->NbPoints() > 1) {
1895               Handle(IntPatch_WLine) aNewWLine =
1896                 new IntPatch_WLine(aLineOn2S, Standard_False);
1897               theNewLines.Append(aNewWLine);
1898             }
1899             aLineOn2S = new IntSurf_LineOn2S();
1900           }
1901         }
1902         // end if(bIsFirstInside)
1903
1904         if(bIsLastInside) {
1905           // append points from first boundary point to ilprm
1906           if(bhasfirstpoint) {
1907             const IntSurf_PntOn2S& aP = aSeqOfPntOn2S->Value(aListOfFLIndex.First());
1908             aLineOn2S->Add(aP);
1909           }
1910           ListOfInteger::Iterator anIt(aListOfIndex);
1911
1912           for(; anIt.More(); anIt.Next()) {
1913             if(anIt.Value() > ilprm)
1914               continue;
1915             const IntSurf_PntOn2S& aP = theWLine->Point(anIt.Value());
1916             aLineOn2S->Add(aP);
1917           }
1918         }
1919         //end if(bIsLastInside)
1920       }
1921     }
1922
1923     if(aLineOn2S->NbPoints() > 1) {
1924       Handle(IntPatch_WLine) aNewWLine =
1925         new IntPatch_WLine(aLineOn2S, Standard_False);
1926       theNewLines.Append(aNewWLine);
1927     }
1928   }
1929   // Split wlines.end
1930   //
1931   // cda002/I3
1932   Standard_Real fprm, lprm;
1933   Standard_Integer ifprm, ilprm, aNbPoints, aIndex;
1934   //
1935   aNbParts=theLConstructor.NbParts();
1936   //
1937   for(j = 1; j <= aNbParts; j++) {
1938     theLConstructor.Part(j, fprm, lprm);
1939     ifprm=(Standard_Integer)fprm;
1940     ilprm=(Standard_Integer)lprm;
1941     //
1942     if ((ilprm-ifprm)==1) {
1943       for(i = 1; i <= nblines; i++) {
1944         aLineType=anArrayOfLineType[i];
1945         if(aLineType) {
1946           continue;
1947         }
1948         //
1949         const ListOfInteger& aListOfIndex = anArrayOfLines[i];
1950         aNbPoints=aListOfIndex.Extent();
1951         if(aNbPoints==1) {
1952           aIndex=aListOfIndex.First();
1953           if (aIndex==ifprm || aIndex==ilprm) {
1954             Handle(IntSurf_LineOn2S) aLineOn2S = new IntSurf_LineOn2S();
1955             const IntSurf_PntOn2S& aP1 = theWLine->Point(ifprm);
1956             const IntSurf_PntOn2S& aP2 = theWLine->Point(ilprm);
1957             aLineOn2S->Add(aP1);
1958             aLineOn2S->Add(aP2);
1959             Handle(IntPatch_WLine) aNewWLine =
1960               new IntPatch_WLine(aLineOn2S, Standard_False);
1961             theNewLines.Append(aNewWLine);
1962           }
1963         }
1964       }
1965     }
1966   }
1967   //
1968   return Standard_True;
1969 }
1970
1971 //=======================================================================
1972 //function : AdjustPeriodic
1973 //purpose  :
1974 //=======================================================================
1975 Standard_Real AdjustPeriodic(const Standard_Real theParameter,
1976                              const Standard_Real parmin,
1977                              const Standard_Real parmax,
1978                              const Standard_Real thePeriod,
1979                              Standard_Real&      theOffset)
1980 {
1981   Standard_Real aresult = theParameter;
1982   theOffset = 0.;
1983   while(aresult < parmin) {
1984     aresult += thePeriod;
1985     theOffset += thePeriod;
1986   }
1987   while(aresult > parmax) {
1988     aresult -= thePeriod;
1989     theOffset -= thePeriod;
1990   }
1991   return aresult;
1992 }
1993
1994 //=======================================================================
1995 //function : IsPointOnBoundary
1996 //purpose  :
1997 //=======================================================================
1998 Standard_Boolean IsPointOnBoundary(const Standard_Real theParameter,
1999                                    const Standard_Real theFirstBoundary,
2000                                    const Standard_Real theSecondBoundary,
2001                                    const Standard_Real theResolution,
2002                                    Standard_Boolean&   IsOnFirstBoundary)
2003 {
2004   IsOnFirstBoundary = Standard_True;
2005   if(fabs(theParameter - theFirstBoundary) < theResolution)
2006     return Standard_True;
2007   if(fabs(theParameter - theSecondBoundary) < theResolution)
2008   {
2009     IsOnFirstBoundary = Standard_False;
2010     return Standard_True;
2011   }
2012   return Standard_False;
2013 }
2014 //=======================================================================
2015 //function : FindPoint
2016 //purpose  :
2017 //=======================================================================
2018 Standard_Boolean FindPoint(const gp_Pnt2d&     theFirstPoint,
2019                            const gp_Pnt2d&     theLastPoint,
2020                            const Standard_Real theUmin,
2021                            const Standard_Real theUmax,
2022                            const Standard_Real theVmin,
2023                            const Standard_Real theVmax,
2024                            gp_Pnt2d&           theNewPoint)
2025 {
2026   gp_Vec2d aVec(theFirstPoint, theLastPoint);
2027   Standard_Integer i = 0, j = 0;
2028
2029   for(i = 0; i < 4; i++) {
2030     gp_Vec2d anOtherVec;
2031     gp_Vec2d anOtherVecNormal;
2032     gp_Pnt2d aprojpoint = theLastPoint;
2033
2034     if((i % 2) == 0) {
2035       anOtherVec.SetX(0.);
2036       anOtherVec.SetY(1.);
2037       anOtherVecNormal.SetX(1.);
2038       anOtherVecNormal.SetY(0.);
2039
2040       if(i < 2)
2041         aprojpoint.SetX(theUmin);
2042       else
2043         aprojpoint.SetX(theUmax);
2044     }
2045     else {
2046       anOtherVec.SetX(1.);
2047       anOtherVec.SetY(0.);
2048       anOtherVecNormal.SetX(0.);
2049       anOtherVecNormal.SetY(1.);
2050
2051       if(i < 2)
2052         aprojpoint.SetY(theVmin);
2053       else
2054         aprojpoint.SetY(theVmax);
2055     }
2056     gp_Vec2d anormvec = aVec;
2057     anormvec.Normalize();
2058     Standard_Real adot1 = anormvec.Dot(anOtherVecNormal);
2059
2060     if(fabs(adot1) < Precision::Angular())
2061       continue;
2062     Standard_Real adist = 0.;
2063
2064     if((i % 2) == 0) {
2065       adist = (i < 2) ? fabs(theLastPoint.X() - theUmin) : fabs(theLastPoint.X() - theUmax);
2066     }
2067     else {
2068       adist = (i < 2) ? fabs(theLastPoint.Y() - theVmin) : fabs(theLastPoint.Y() - theVmax);
2069     }
2070     Standard_Real anoffset = adist * anOtherVec.Dot(anormvec) / adot1;
2071
2072     for(j = 0; j < 2; j++) {
2073       anoffset = (j == 0) ? anoffset : -anoffset;
2074       gp_Pnt2d acurpoint(aprojpoint.XY() + (anOtherVec.XY()*anoffset));
2075       gp_Vec2d acurvec(theLastPoint, acurpoint);
2076
2077       //
2078       Standard_Real aDotX, anAngleX, aPC;
2079       //
2080       aDotX=aVec.Dot(acurvec);
2081       anAngleX=aVec.Angle(acurvec);
2082       aPC=Precision::PConfusion();
2083       //
2084       if(aDotX > 0. && fabs(anAngleX) < aPC) {
2085       //
2086         if((i % 2) == 0) {
2087           if((acurpoint.Y() >= theVmin) &&
2088              (acurpoint.Y() <= theVmax)) {
2089             theNewPoint = acurpoint;
2090             return Standard_True;
2091           }
2092         }
2093         else {
2094           if((acurpoint.X() >= theUmin) &&
2095              (acurpoint.X() <= theUmax)) {
2096             theNewPoint = acurpoint;
2097             return Standard_True;
2098           }
2099         }
2100       }
2101     }
2102   }
2103   return Standard_False;
2104 }
2105
2106 /*
2107 static
2108   void DumpWLine (const Handle(IntPatch_WLine)& theWLine);
2109 //=======================================================================
2110 //function : DumpWLine
2111 //purpose  :
2112 //=======================================================================
2113   void DumpWLine (const Handle(IntPatch_WLine)& theWLine)
2114 {
2115   Standard_Integer i, nbp;
2116   Standard_Real u1,v1,u2,v2;
2117   //
2118   nbp=theWLine->NbPnts();
2119   printf(" nbp=%d\n", nbp);
2120   for(i=1;i<=nbp;i++) {
2121     const IntSurf_PntOn2S& aPoint = theWLine->Point(i);
2122     const gp_Pnt& aP=aPoint.Value();
2123     aPoint.Parameters(u1,v1,u2,v2);
2124     printf("point i%d %lf %lf %lf [ %lf %lf ] [ %lf %lf ]\n",
2125            i, aP.X(), aP.Y(), aP.Z(), u1, v1, u2, v2);
2126   }
2127 }
2128 */