// Created on: 1992-01-02 // Created by: Remi GILET // Copyright (c) 1992-1999 Matra Datavision // Copyright (c) 1999-2014 OPEN CASCADE SAS // // This file is part of Open CASCADE Technology software library. // // This library is free software; you can redistribute it and/or modify it under // the terms of the GNU Lesser General Public License version 2.1 as published // by the Free Software Foundation, with special exception defined in the file // OCCT_LGPL_EXCEPTION.txt. Consult the file LICENSE_LGPL_21.txt included in OCCT // distribution for complete text of the license and disclaimer of any warranty. // // Alternatively, this file may be used under the terms of Open CASCADE // commercial license or contractual agreement. #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include //========================================================================= // Creation of a circle tangent to Circle C1 and a straight line L2. + // centered on a straight line. + // We start by making difference between cases that we are going to + // proceess separately. + // In general case: + // ==================== + // We calculate bissectrices to C1 and L2 that give us + // all possibles locations of centers of all circles tangent to C1 and L2+ + // We intersect these bissectrices with straight line OnLine which gives + // us points among which we'll choose the solutions. + // The choices are made basing on Qualifiers of C1 and L2. + //========================================================================= GccAna_Circ2d2TanOn:: GccAna_Circ2d2TanOn (const GccEnt_QualifiedCirc& Qualified1 , const GccEnt_QualifiedLin& Qualified2 , const gp_Lin2d& OnLine , const Standard_Real Tolerance ): cirsol(1,4) , qualifier1(1,4) , qualifier2(1,4), TheSame1(1,4) , TheSame2(1,4) , pnttg1sol(1,4) , pnttg2sol(1,4) , pntcen(1,4) , par1sol(1,4) , par2sol(1,4) , pararg1(1,4) , pararg2(1,4) , parcen3(1,4) { TheSame1.Init(0); TheSame2.Init(0); WellDone = Standard_False; NbrSol = 0; if (!(Qualified1.IsEnclosed() || Qualified1.IsEnclosing() || Qualified1.IsOutside() || Qualified1.IsUnqualified()) || !(Qualified2.IsEnclosed() || Qualified2.IsOutside() || Qualified2.IsUnqualified())) { throw GccEnt_BadQualifier(); return; } Standard_Real Tol = Abs(Tolerance); Standard_Real Radius=0; Standard_Boolean ok = Standard_False; gp_Dir2d dirx(1.,0.); gp_Circ2d C1 = Qualified1.Qualified(); gp_Lin2d L2 = Qualified2.Qualified(); Standard_Real R1 = C1.Radius(); gp_Pnt2d center1(C1.Location()); gp_Pnt2d origin2(L2.Location()); gp_Dir2d dirL2(L2.Direction()); gp_Dir2d normL2(-dirL2.Y(),dirL2.X()); //========================================================================= // Processing of limit cases. + //========================================================================= Standard_Real distcl = OnLine.Distance(center1); gp_Pnt2d pinterm(center1.XY()+distcl* gp_XY(-OnLine.Direction().Y(),OnLine.Direction().X())); if (OnLine.Distance(pinterm) > Tolerance) { pinterm = gp_Pnt2d(center1.XY()+distcl* gp_XY(-OnLine.Direction().Y(),OnLine.Direction().X())); } Standard_Real dist2 = L2.Distance(pinterm); if (Qualified1.IsEnclosed() || Qualified1.IsOutside()) { if (Abs(distcl-R1-dist2) <= Tol) { ok = Standard_True; } } else if (Qualified1.IsEnclosing()) { if (Abs(dist2-distcl-R1) <= Tol) { ok = Standard_True; } } else if (Qualified1.IsUnqualified()) { ok = Standard_True; } else { throw GccEnt_BadQualifier(); return; } if (ok) { if (Qualified2.IsOutside()) { gp_Pnt2d pbid(pinterm.XY()+dist2*gp_XY(-dirL2.Y(),dirL2.X())); if (L2.Distance(pbid) <= Tol) { WellDone = Standard_True; } } else if (Qualified2.IsEnclosed()) { gp_Pnt2d pbid(pinterm.XY()-dist2*gp_XY(-dirL2.Y(),dirL2.X())); if (L2.Distance(pbid) <= Tol) { WellDone = Standard_True; } } else if (Qualified2.IsUnqualified()) { WellDone = Standard_False; } else { throw GccEnt_BadQualifier(); return; } } if (WellDone) { NbrSol++; cirsol(NbrSol) = gp_Circ2d(gp_Ax2d(pinterm,dirx),dist2); // ======================================================= gp_Dir2d dc1(center1.XY()-pinterm.XY()); gp_Dir2d dc2(origin2.XY()-pinterm.XY()); Standard_Real distcc1 = pinterm.Distance(center1); if (!Qualified1.IsUnqualified()) { qualifier1(NbrSol) = Qualified1.Qualifier(); } else if (Abs(distcc1+dist2-R1) < Tol) { qualifier1(NbrSol) = GccEnt_enclosed; } else if (Abs(distcc1-R1-dist2) < Tol) { qualifier1(NbrSol) = GccEnt_outside; } else { qualifier1(NbrSol) = GccEnt_enclosing; } if (!Qualified2.IsUnqualified()) { qualifier2(NbrSol) = Qualified2.Qualifier(); } else if (dc2.Dot(normL2) > 0.0) { qualifier2(NbrSol) = GccEnt_outside; } else { qualifier2(NbrSol) = GccEnt_enclosed; } Standard_Real sign = dc2.Dot(gp_Dir2d(-dirL2.Y(),dirL2.X())); dc2 = gp_Dir2d(sign*gp_XY(-dirL2.Y(),dirL2.X())); pnttg1sol(NbrSol) = gp_Pnt2d(pinterm.XY()+dist2*dc1.XY()); pnttg2sol(NbrSol) = gp_Pnt2d(pinterm.XY()+dist2*dc2.XY()); par1sol(NbrSol)=ElCLib::Parameter(cirsol(NbrSol),pnttg1sol(NbrSol)); pararg1(NbrSol)=ElCLib::Parameter(C1,pnttg1sol(NbrSol)); par2sol(NbrSol)=ElCLib::Parameter(cirsol(NbrSol),pnttg2sol(NbrSol)); pararg2(NbrSol)=ElCLib::Parameter(L2,pnttg2sol(NbrSol)); pntcen(NbrSol) = cirsol(NbrSol).Location(); parcen3(NbrSol)=ElCLib::Parameter(OnLine,pntcen(NbrSol)); return; } //========================================================================= // General case. + //========================================================================= GccAna_CircLin2dBisec Bis(C1,L2); if (Bis.IsDone()) { Standard_Integer nbsolution = Bis.NbSolutions(); for (Standard_Integer i = 1 ; i <= nbsolution; i++) { Handle(GccInt_Bisec) Sol = Bis.ThisSolution(i); GccInt_IType type = Sol->ArcType(); IntAna2d_AnaIntersection Intp; if (type == GccInt_Lin) { Intp.Perform(OnLine,Sol->Line()); } else if (type == GccInt_Par) { Intp.Perform(OnLine,IntAna2d_Conic(Sol->Parabola())); } if (Intp.IsDone()) { if (!Intp.IsEmpty()) { for (Standard_Integer j = 1 ; j <= Intp.NbPoints() ; j++) { gp_Pnt2d Center(Intp.Point(j).Value()); Standard_Real dist1 = Center.Distance(center1); dist2 = L2.Distance(Center); // Standard_Integer nbsol = 1; ok = Standard_False; if (Qualified1.IsEnclosed()) { if (dist1-R1 < Tolerance) { if (Abs(Abs(R1-dist1)-dist2)=0){ ok = Standard_True; Radius = dist2; } } else if (Qualified2.IsUnqualified() && ok) { ok = Standard_True; Radius = dist2; } if (ok) { NbrSol++; cirsol(NbrSol) = gp_Circ2d(gp_Ax2d(Center,dirx),Radius); // ======================================================= gp_Dir2d dc1(center1.XY()-Center.XY()); gp_Dir2d dc2(origin2.XY()-Center.XY()); Standard_Real distcc1 = Center.Distance(center1); if (!Qualified1.IsUnqualified()) { qualifier1(NbrSol) = Qualified1.Qualifier(); } else if (Abs(distcc1+Radius-R1) < Tol) { qualifier1(NbrSol) = GccEnt_enclosed; } else if (Abs(distcc1-R1-Radius) < Tol) { qualifier1(NbrSol) = GccEnt_outside; } else { qualifier1(NbrSol) = GccEnt_enclosing; } if (!Qualified2.IsUnqualified()) { qualifier2(NbrSol) = Qualified2.Qualifier(); } else if (dc2.Dot(normL2) > 0.0) { qualifier2(NbrSol) = GccEnt_outside; } else { qualifier2(NbrSol) = GccEnt_enclosed; } if (Center.Distance(center1) <= Tolerance && Abs(Radius-C1.Radius()) <= Tolerance) { TheSame1(NbrSol) = 1; } else { TheSame1(NbrSol) = 0; pnttg1sol(NbrSol) = gp_Pnt2d(Center.XY()+Radius*dc1.XY()); par1sol(NbrSol)=ElCLib::Parameter(cirsol(NbrSol), pnttg1sol(NbrSol)); pararg1(NbrSol)=ElCLib::Parameter(C1,pnttg1sol(NbrSol)); } TheSame2(NbrSol) = 0; Standard_Real sign = dc2.Dot(gp_Dir2d(-dirL2.Y(),dirL2.X())); dc2 = gp_Dir2d(sign*gp_XY(-dirL2.Y(),dirL2.X())); pnttg2sol(NbrSol) = gp_Pnt2d(Center.XY()+Radius*dc2.XY()); par2sol(NbrSol)=ElCLib::Parameter(cirsol(NbrSol), pnttg2sol(NbrSol)); pararg2(NbrSol)=ElCLib::Parameter(L2,pnttg2sol(NbrSol)); pntcen(NbrSol) = Center; parcen3(NbrSol)=ElCLib::Parameter(OnLine,pntcen(NbrSol)); } } } WellDone = Standard_True; } } } }