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228 lines
10 KiB
C++
228 lines
10 KiB
C++
// Created on: 1992-10-20
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// Created by: Remi GILET
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// Copyright (c) 1992-1999 Matra Datavision
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// Copyright (c) 1999-2014 OPEN CASCADE SAS
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//
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// This file is part of Open CASCADE Technology software library.
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//
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// This library is free software; you can redistribute it and/or modify it under
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// the terms of the GNU Lesser General Public License version 2.1 as published
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// by the Free Software Foundation, with special exception defined in the file
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// OCCT_LGPL_EXCEPTION.txt. Consult the file LICENSE_LGPL_21.txt included in OCCT
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// distribution for complete text of the license and disclaimer of any warranty.
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//
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// Alternatively, this file may be used under the terms of Open CASCADE
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// commercial license or contractual agreement.
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#ifndef _Geom2dGcc_Circ2d3Tan_HeaderFile
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#define _Geom2dGcc_Circ2d3Tan_HeaderFile
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#include <Standard.hxx>
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#include <Standard_DefineAlloc.hxx>
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#include <Standard_Handle.hxx>
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#include <TColgp_Array1OfCirc2d.hxx>
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#include <Standard_Real.hxx>
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#include <Standard_Boolean.hxx>
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#include <GccEnt_Array1OfPosition.hxx>
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#include <TColStd_Array1OfInteger.hxx>
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#include <TColgp_Array1OfPnt2d.hxx>
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#include <TColStd_Array1OfReal.hxx>
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#include <Standard_Integer.hxx>
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#include <GccEnt_Position.hxx>
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class StdFail_NotDone;
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class Standard_OutOfRange;
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class Geom2dGcc_QualifiedCurve;
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class Geom2d_Point;
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class GccAna_Circ2d3Tan;
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class gp_Circ2d;
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class gp_Pnt2d;
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//! This class implements the algorithms used to
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//! create 2d circles tangent to 3 points/lines/circles/
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//! curves with one curve or more.
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//! The arguments of all construction methods are :
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//! - The three qualifiied elements for the
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//! tangency constrains (QualifiedCirc, QualifiedLine,
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//! Qualifiedcurv, Points).
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//! - A parameter for each QualifiedCurv.
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//! Describes functions for building a 2D circle:
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//! - tangential to 3 curves, or
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//! - tangential to 2 curves and passing through a point, or
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//! - tangential to a curve and passing through 2 points, or
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//! - passing through 3 points.
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//! A Circ2d3Tan object provides a framework for:
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//! - defining the construction of 2D circles(s),
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//! - implementing the construction algorithm, and
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//! - consulting the result(s).
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class Geom2dGcc_Circ2d3Tan
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{
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public:
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DEFINE_STANDARD_ALLOC
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//! Constructs one or more 2D circles
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//! tangential to three curves Qualified1, Qualified2 and
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//! Qualified3, where Param1, Param2 and Param3 are
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//! used, respectively, as the initial values of the
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//! parameters on Qualified1, Qualified2 and Qualified3
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//! of the tangency point between these arguments and
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//! the solution sought, if the algorithm chooses an
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//! iterative method to find the solution (i.e. if either
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//! Qualified1, Qualified2 or Qualified3 is more complex
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//! than a line or a circle).
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Standard_EXPORT Geom2dGcc_Circ2d3Tan(const Geom2dGcc_QualifiedCurve& Qualified1, const Geom2dGcc_QualifiedCurve& Qualified2, const Geom2dGcc_QualifiedCurve& Qualified3, const Standard_Real Tolerance, const Standard_Real Param1, const Standard_Real Param2, const Standard_Real Param3);
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//! Constructs one or more 2D circles
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//! tangential to two curves Qualified1 and Qualified2
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//! and passing through the point Point, where Param1
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//! and Param2 are used, respectively, as the initial
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//! values of the parameters on Qualified1 and
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//! Qualified2 of the tangency point between this
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//! argument and the solution sought, if the algorithm
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//! chooses an iterative method to find the solution (i.e. if
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//! either Qualified1 or Qualified2 is more complex than
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//! a line or a circle).
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Standard_EXPORT Geom2dGcc_Circ2d3Tan(const Geom2dGcc_QualifiedCurve& Qualified1, const Geom2dGcc_QualifiedCurve& Qualified2, const Handle(Geom2d_Point)& Point, const Standard_Real Tolerance, const Standard_Real Param1, const Standard_Real Param2);
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//! Constructs one or more 2D circles tangential to the curve Qualified1 and passing
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//! through two points Point1 and Point2, where Param1
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//! is used as the initial value of the parameter on
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//! Qualified1 of the tangency point between this
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//! argument and the solution sought, if the algorithm
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//! chooses an iterative method to find the solution (i.e. if
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//! Qualified1 is more complex than a line or a circle)
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Standard_EXPORT Geom2dGcc_Circ2d3Tan(const Geom2dGcc_QualifiedCurve& Qualified1, const Handle(Geom2d_Point)& Point1, const Handle(Geom2d_Point)& Point2, const Standard_Real Tolerance, const Standard_Real Param1);
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//! Constructs one or more 2D circles passing through three points Point1, Point2 and Point3.
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//! Tolerance is a tolerance criterion used by the algorithm
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//! to find a solution when, mathematically, the problem
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//! posed does not have a solution, but where there is
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//! numeric uncertainty attached to the arguments.
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//! For example, take:
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//! - two circles C1 and C2, such that C2 is inside C1,
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//! and almost tangential to C1; there is in fact no point
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//! of intersection between C1 and C2; and
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//! - a circle C3 outside C1.
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//! You now want to find a circle which is tangential to C1,
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//! C2 and C3: a pure mathematical resolution will not find
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//! a solution. This is where the tolerance criterion is used:
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//! the algorithm considers that C1 and C2 are tangential if
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//! the shortest distance between these two circles is less
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//! than or equal to Tolerance. Thus, the algorithm finds a solution.
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//! Warning
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//! An iterative algorithm is used if Qualified1, Qualified2 or
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//! Qualified3 is more complex than a line or a circle. In
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//! such cases, the algorithm constructs only one solution.
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//! Exceptions
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//! GccEnt_BadQualifier if a qualifier is inconsistent with
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//! the argument it qualifies (for example, enclosing for a line).
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Standard_EXPORT Geom2dGcc_Circ2d3Tan(const Handle(Geom2d_Point)& Point1, const Handle(Geom2d_Point)& Point2, const Handle(Geom2d_Point)& Point3, const Standard_Real Tolerance);
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Standard_EXPORT void Results (const GccAna_Circ2d3Tan& Circ, const Standard_Integer Rank1, const Standard_Integer Rank2, const Standard_Integer Rank3);
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//! Returns true if the construction algorithm does not fail (even if it finds no solution).
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//! Note: IsDone protects against a failure arising from a
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//! more internal intersection algorithm, which has reached its numeric limits.
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Standard_EXPORT Standard_Boolean IsDone() const;
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//! This method returns the number of solutions.
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//! NotDone is raised if the algorithm failed.
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Standard_EXPORT Standard_Integer NbSolutions() const;
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//! Returns the solution number Index and raises OutOfRange
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//! exception if Index is greater than the number of solutions.
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//! Be carefull: the Index is only a way to get all the
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//! solutions, but is not associated to theses outside the context
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//! of the algorithm-object.
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Standard_EXPORT gp_Circ2d ThisSolution (const Standard_Integer Index) const;
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//! It returns the informations about the qualifiers of the tangency
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//! arguments concerning the solution number Index.
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//! It returns the real qualifiers (the qualifiers given to the
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//! constructor method in case of enclosed, enclosing and outside
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//! and the qualifiers computedin case of unqualified).
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Standard_EXPORT void WhichQualifier (const Standard_Integer Index, GccEnt_Position& Qualif1, GccEnt_Position& Qualif2, GccEnt_Position& Qualif3) const;
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//! Returns informations about the tangency point between the
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//! result and the first argument.
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//! ParSol is the intrinsic parameter of the point PntSol on the solution curv.
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//! ParArg is the intrinsic parameter of the point PntSol on the argument curv.
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Standard_EXPORT void Tangency1 (const Standard_Integer Index, Standard_Real& ParSol, Standard_Real& ParArg, gp_Pnt2d& PntSol) const;
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//! Returns informations about the tangency point between the
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//! result and the second argument.
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//! ParSol is the intrinsic parameter of the point PntSol on the solution curv.
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//! ParArg is the intrinsic parameter of the point PntSol on the argument curv.
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Standard_EXPORT void Tangency2 (const Standard_Integer Index, Standard_Real& ParSol, Standard_Real& ParArg, gp_Pnt2d& PntSol) const;
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//! Returns informations about the tangency point between the
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//! result and the third argument.
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//! ParSol is the intrinsic parameter of the point PntSol on the solution curv.
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//! ParArg is the intrinsic parameter of the point PntSol on the argument curv.
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Standard_EXPORT void Tangency3 (const Standard_Integer Index, Standard_Real& ParSol, Standard_Real& ParArg, gp_Pnt2d& PntSol) const;
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//! Returns True if the solution is equal to the first argument.
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Standard_EXPORT Standard_Boolean IsTheSame1 (const Standard_Integer Index) const;
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//! Returns True if the solution is equal to the second argument.
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Standard_EXPORT Standard_Boolean IsTheSame2 (const Standard_Integer Index) const;
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//! Returns True if the solution is equal to the third argument.
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//! If Rarg is the radius of the first, second or third
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//! argument, Rsol is the radius of the solution and dist
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//! is the distance between the two centers, we consider
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//! the two circles to be identical if |Rarg - Rsol| and
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//! dist are less than or equal to the tolerance criterion
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//! given at the time of construction of this algorithm.
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//! Exceptions
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//! Standard_OutOfRange if Index is less than zero or
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//! greater than the number of solutions computed by this algorithm.
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//! StdFail_NotDone if the construction fails.
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Standard_EXPORT Standard_Boolean IsTheSame3 (const Standard_Integer Index) const;
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protected:
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private:
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TColgp_Array1OfCirc2d cirsol;
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Standard_Real NbrSol;
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Standard_Boolean WellDone;
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GccEnt_Array1OfPosition qualifier1;
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GccEnt_Array1OfPosition qualifier2;
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GccEnt_Array1OfPosition qualifier3;
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TColStd_Array1OfInteger TheSame1;
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TColStd_Array1OfInteger TheSame2;
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TColStd_Array1OfInteger TheSame3;
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TColgp_Array1OfPnt2d pnttg1sol;
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TColgp_Array1OfPnt2d pnttg2sol;
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TColgp_Array1OfPnt2d pnttg3sol;
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TColStd_Array1OfReal par1sol;
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TColStd_Array1OfReal par2sol;
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TColStd_Array1OfReal par3sol;
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TColStd_Array1OfReal pararg1;
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TColStd_Array1OfReal pararg2;
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TColStd_Array1OfReal pararg3;
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};
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#endif // _Geom2dGcc_Circ2d3Tan_HeaderFile
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