// 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 #include //========================================================================= // Creation of a circle tangent to straight line L1 and a point Point2. + // centered on a circle. + // We start by making difference between boundary cases that will be + // processed separately. + // In general case: + // ==================== + // We calculate bissectrices to L1 and Point2 that give us all + // all possible locations of centers of all circles + // tangent to L1 and Point2. + // We intersect these bissectrices with circle OnCirc which gives us + // points among which we'll choose the solutions. + // The choice is made using Qualifiers of L1. + //========================================================================= GccAna_Circ2d2TanOn:: GccAna_Circ2d2TanOn (const GccEnt_QualifiedLin& Qualified1 , const gp_Pnt2d& Point2 , const gp_Circ2d& OnCirc , 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.IsOutside() || Qualified1.IsUnqualified())) { throw GccEnt_BadQualifier(); return; } Standard_Real Tol = Abs(Tolerance); gp_Dir2d dirx(1.,0.); gp_Lin2d L1 = Qualified1.Qualified(); gp_Pnt2d originL1(L1.Location()); gp_Dir2d dirL1(L1.Direction()); gp_Dir2d normL1(-dirL1.Y(),dirL1.X()); //========================================================================= // Processing of boundary cases. + //========================================================================= Standard_Real Ron = OnCirc.Radius(); Standard_Real distpc = OnCirc.Location().Distance(Point2); gp_Dir2d dir(OnCirc.Location().XY()-Point2.XY()); gp_Pnt2d pinterm(Point2.XY()+(distpc+Ron)*dir.XY()); Standard_Real dist1 = L1.Distance(pinterm); if (Abs(dist1-distpc+Ron) <= Tol) { dir = gp_Dir2d(-dirL1.Y(),dirL1.X()); gp_Dir2d direc(originL1.XY()-pinterm.XY()); if (Qualified1.IsOutside()) { if (direc.Dot(dir) >= 0.0) { WellDone = Standard_True; } } else if (Qualified1.IsEnclosed()) { if (direc.Dot(dir) <= 0.0) { WellDone = Standard_True; } } else { WellDone = Standard_True; } if (WellDone) { NbrSol++; cirsol(NbrSol) = gp_Circ2d(gp_Ax2d(pinterm,dirx),dist1); // ======================================================= gp_Dir2d dc1(originL1.XY()-pinterm.XY()); Standard_Real sign = dc1.Dot(normL1); if (!Qualified1.IsUnqualified()) { qualifier1(NbrSol) = Qualified1.Qualifier(); } else if (dc1.Dot(normL1) > 0.0) { qualifier1(NbrSol) = GccEnt_outside; } else { qualifier1(NbrSol) = GccEnt_enclosed; } qualifier2(NbrSol) = GccEnt_noqualifier; dc1 = gp_Dir2d(sign*gp_XY(-dirL1.Y(),dirL1.X())); pnttg1sol(NbrSol) = gp_Pnt2d(pinterm.XY()+dist1*dc1.XY()); par1sol(NbrSol) = ElCLib::Parameter(cirsol(NbrSol),pnttg1sol(NbrSol)); pararg1(NbrSol)=ElCLib::Parameter(L1,pnttg1sol(NbrSol)); pntcen(NbrSol) = pinterm; parcen3(NbrSol)=ElCLib::Parameter(OnCirc,pntcen(NbrSol)); parcen3(NbrSol) = 0.; pnttg2sol(NbrSol) = Point2; pararg2(NbrSol) = 0.; par2sol(NbrSol) = ElCLib::Parameter(cirsol(NbrSol),pnttg2sol(NbrSol)); return; } } //========================================================================= // General case. + //========================================================================= GccAna_LinPnt2dBisec Bis(L1,Point2); if (Bis.IsDone()) { Handle(GccInt_Bisec) Sol = Bis.ThisSolution(); GccInt_IType type = Sol->ArcType(); IntAna2d_AnaIntersection Intp; if (type == GccInt_Lin) { Intp.Perform(Sol->Line(),OnCirc); } if (type == GccInt_Par) { Intp.Perform(OnCirc,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 Radius = L1.Distance(Center); // Standard_Integer nbsol = 1; Standard_Boolean ok = Standard_False; if (Qualified1.IsEnclosed()) { if ((((originL1.X()-Center.X())*(-dirL1.Y()))+ ((originL1.Y()-Center.Y())*(dirL1.X())))<=0){ ok = Standard_True; } } else if (Qualified1.IsOutside()) { if ((((originL1.X()-Center.X())*(-dirL1.Y()))+ ((originL1.Y()-Center.Y())*(dirL1.X())))>=0){ ok = Standard_True; } } else if (Qualified1.IsUnqualified()) { ok = Standard_True; } if (ok) { NbrSol++; cirsol(NbrSol) = gp_Circ2d(gp_Ax2d(Center,dirx),Radius); // ======================================================= TheSame1(NbrSol) = 0; TheSame2(NbrSol) = 0; gp_Dir2d dc1(originL1.XY()-Center.XY()); Standard_Real sign = dc1.Dot(normL1); if (!Qualified1.IsUnqualified()) { qualifier1(NbrSol) = Qualified1.Qualifier(); } else if (dc1.Dot(normL1) > 0.0) { qualifier1(NbrSol) = GccEnt_outside; } else { qualifier1(NbrSol) = GccEnt_enclosed; } qualifier2(NbrSol) = GccEnt_noqualifier; dc1=gp_Dir2d(sign*gp_XY(-dirL1.Y(),dirL1.X())); pnttg1sol(NbrSol) = gp_Pnt2d(Center.XY()+dist1*dc1.XY()); par1sol(NbrSol)=ElCLib::Parameter(cirsol(NbrSol), pnttg1sol(NbrSol)); pararg1(NbrSol)=ElCLib::Parameter(L1,pnttg1sol(NbrSol)); pntcen(NbrSol) = Center; parcen3(NbrSol) = ElCLib::Parameter(OnCirc,pntcen(NbrSol)); pnttg2sol(NbrSol) = Point2; pararg2(NbrSol) = 0.; par2sol(NbrSol)=ElCLib::Parameter(cirsol(NbrSol), pnttg2sol(NbrSol)); qualifier2(NbrSol) = GccEnt_noqualifier; } } } WellDone = Standard_True; } } }