// Created on: 1992-10-20 // 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. #ifndef _Geom2dGcc_Circ2d2TanRad_HeaderFile #define _Geom2dGcc_Circ2d2TanRad_HeaderFile #include #include #include #include #include #include #include #include #include #include #include #include class Standard_OutOfRange; class GccEnt_BadQualifier; class StdFail_NotDone; class Standard_NegativeValue; class Geom2dGcc_QualifiedCurve; class Geom2d_Point; class GccAna_Circ2d2TanRad; class Geom2dGcc_Circ2d2TanRadGeo; class gp_Circ2d; class gp_Pnt2d; //! This class implements the algorithms used to //! create 2d circles tangent to one curve and a //! point/line/circle/curv and with a given radius. //! For each construction methods arguments are: //! - Two Qualified elements for tangency constrains. //! (for example EnclosedCirc if we want the //! solution inside the argument EnclosedCirc). //! - Two Reals. One (Radius) for the radius and the //! other (Tolerance) for the tolerance. //! Tolerance is only used for the limit cases. //! For example : //! We want to create a circle inside a circle C1 and //! inside a curve Cu2 with a radius Radius and a //! tolerance Tolerance. //! If we did not used Tolerance it is impossible to //! find a solution in the the following case : Cu2 is //! inside C1 and there is no intersection point //! between the two elements. //! with Tolerance we will give a solution if the //! lowest distance between C1 and Cu2 is lower than or //! equal Tolerance. class Geom2dGcc_Circ2d2TanRad { public: DEFINE_STANDARD_ALLOC Standard_EXPORT Geom2dGcc_Circ2d2TanRad(const Geom2dGcc_QualifiedCurve& Qualified1, const Geom2dGcc_QualifiedCurve& Qualified2, const Standard_Real Radius, const Standard_Real Tolerance); Standard_EXPORT Geom2dGcc_Circ2d2TanRad(const Geom2dGcc_QualifiedCurve& Qualified1, const Handle(Geom2d_Point)& Point, const Standard_Real Radius, const Standard_Real Tolerance); //! These constructors create one or more 2D circles of radius Radius either //! - tangential to the 2 curves Qualified1 and Qualified2, or //! - tangential to the curve Qualified1 and passing through the point Point, or //! - passing through two points Point1 and Point2. //! Tolerance is a tolerance criterion used by the algorithm //! to find a solution when, mathematically, the problem //! posed does not have a solution, but where there is //! numeric uncertainty attached to the arguments. //! For example, take two circles C1 and C2, such that C2 //! is inside C1, and almost tangential to C1. There is, in //! fact, no point of intersection between C1 and C2. You //! now want to find a circle of radius R (smaller than the //! radius of C2), which is tangential to C1 and C2, and //! inside these two circles: a pure mathematical resolution //! will not find a solution. This is where the tolerance //! criterion is used: the algorithm considers that C1 and //! C2 are tangential if the shortest distance between these //! two circles is less than or equal to Tolerance. Thus, a //! solution is found by the algorithm. //! Exceptions //! GccEnt_BadQualifier if a qualifier is inconsistent with //! the argument it qualifies (for example, enclosing for a line). //! Standard_NegativeValue if Radius is negative. Standard_EXPORT Geom2dGcc_Circ2d2TanRad(const Handle(Geom2d_Point)& Point1, const Handle(Geom2d_Point)& Point2, const Standard_Real Radius, const Standard_Real Tolerance); Standard_EXPORT void Results (const GccAna_Circ2d2TanRad& Circ); Standard_EXPORT void Results (const Geom2dGcc_Circ2d2TanRadGeo& Circ); //! This method returns True if the algorithm succeeded. //! Note: IsDone protects against a failure arising from a //! more internal intersection algorithm, which has reached its numeric limits. Standard_EXPORT Standard_Boolean IsDone() const; //! This method returns the number of solutions. //! NotDone is raised if the algorithm failed. //! Exceptions //! StdFail_NotDone if the construction fails. Standard_EXPORT Standard_Integer NbSolutions() const; //! Returns the solution number Index and raises OutOfRange //! exception if Index is greater than the number of solutions. //! Be carefull: the Index is only a way to get all the //! solutions, but is not associated to theses outside the context of the algorithm-object. //! Warning //! This indexing simply provides a means of consulting the //! solutions. The index values are not associated with //! these solutions outside the context of the algorithm object. //! Exceptions //! Standard_OutOfRange if Index is less than zero or //! greater than the number of solutions computed by this algorithm. //! StdFail_NotDone if the construction fails. Standard_EXPORT gp_Circ2d ThisSolution (const Standard_Integer Index) const; //! Returns the qualifiers Qualif1 and Qualif2 of the //! tangency arguments for the solution of index Index //! computed by this algorithm. //! The returned qualifiers are: //! - those specified at the start of construction when the //! solutions are defined as enclosed, enclosing or //! outside with respect to the arguments, or //! - those computed during construction (i.e. enclosed, //! enclosing or outside) when the solutions are defined //! as unqualified with respect to the arguments, or //! - GccEnt_noqualifier if the tangency argument is a point, or //! - GccEnt_unqualified in certain limit cases where it //! is impossible to qualify the solution as enclosed, enclosing or outside. //! Exceptions //! Standard_OutOfRange if Index is less than zero or //! greater than the number of solutions computed by this algorithm. //! StdFail_NotDone if the construction fails. Standard_EXPORT void WhichQualifier (const Standard_Integer Index, GccEnt_Position& Qualif1, GccEnt_Position& Qualif2) const; //! Returns informations about the tangency point between the //! result number Index and the first argument. //! ParSol is the intrinsic parameter of the point PntSol on the solution curv. //! ParArg is the intrinsic parameter of the point PntSol on the argument curv. //! OutOfRange is raised if Index is greater than the number of solutions. //! notDone is raised if the construction algorithm did not succeed. Standard_EXPORT void Tangency1 (const Standard_Integer Index, Standard_Real& ParSol, Standard_Real& ParArg, gp_Pnt2d& PntSol) const; //! Returns informations about the tangency point between the //! result number Index and the second argument. //! ParSol is the intrinsic parameter of the point PntSol on the solution curv. //! ParArg is the intrinsic parameter of the point PntSol on the argument curv. //! OutOfRange is raised if Index is greater than the number of solutions. //! notDone is raised if the construction algorithm did not succeed. Standard_EXPORT void Tangency2 (const Standard_Integer Index, Standard_Real& ParSol, Standard_Real& ParArg, gp_Pnt2d& PntSol) const; //! Returns true if the solution of index Index and, //! respectively, the first or second argument of this //! algorithm are the same (i.e. there are 2 identical circles). //! If Rarg is the radius of the first or second argument, //! Rsol is the radius of the solution and dist is the //! distance between the two centers, we consider the two //! circles to be identical if |Rarg - Rsol| and dist //! are less than or equal to the tolerance criterion given at //! the time of construction of this algorithm. //! OutOfRange is raised if Index is greater than the number of solutions. //! notDone is raised if the construction algorithm did not succeed. Standard_EXPORT Standard_Boolean IsTheSame1 (const Standard_Integer Index) const; //! Returns true if the solution of index Index and, //! respectively, the first or second argument of this //! algorithm are the same (i.e. there are 2 identical circles). //! If Rarg is the radius of the first or second argument, //! Rsol is the radius of the solution and dist is the //! distance between the two centers, we consider the two //! circles to be identical if |Rarg - Rsol| and dist //! are less than or equal to the tolerance criterion given at //! the time of construction of this algorithm. //! OutOfRange is raised if Index is greater than the number of solutions. //! notDone is raised if the construction algorithm did not succeed. Standard_EXPORT Standard_Boolean IsTheSame2 (const Standard_Integer Index) const; protected: private: Standard_Boolean WellDone; TColgp_Array1OfCirc2d cirsol; Standard_Integer NbrSol; GccEnt_Array1OfPosition qualifier1; GccEnt_Array1OfPosition qualifier2; TColStd_Array1OfInteger TheSame1; TColStd_Array1OfInteger TheSame2; TColgp_Array1OfPnt2d pnttg1sol; TColgp_Array1OfPnt2d pnttg2sol; TColStd_Array1OfReal par1sol; TColStd_Array1OfReal par2sol; TColStd_Array1OfReal pararg1; TColStd_Array1OfReal pararg2; Standard_Boolean Invert; }; #endif // _Geom2dGcc_Circ2d2TanRad_HeaderFile